The shape of the distribution of the sample mean time is normal.
The standard error of the mean time is 0.5.
The percentage of the sample means that would be greater than 31.25 seconds is 0.621%.
The percentage of the sample means that would be greater than 28.25 seconds is 99.977%.
The percentage of the sample means that would be greater than 28.25 but less than 31.25 seconds is 99.357%.
Given the following data:
Mean = 30.
Standard deviation = 2.
Sample = 16 ads.
What is a normal distribution?
A normal distribution is also referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data far from the mean.
a. The shape of the distribution of the sample mean time is normal.
b. To calculate the standard error of the mean time, we would apply this formula:
Standard error = 0.5.
c. To calculate the percentage of the sample means that would be greater than 31.25 seconds:
P(Z>2.5) = 0.621%.
d. To calculate the percentage of the sample means that would be greater than 28.25 seconds:
P(Z>2.5) = 99.977%.
e. To calculate the percentage of the sample means that would be greater than 28.25 but less than 31.25 seconds:
P(-3.5<Z<2.5) = 99.357%.
To know more about normal distribution visit: brainly.com/question/4637344
#SPJ1
Let S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}. Find n(S), n(T), n( ∪ ), and n( ∩ ).
The value of n (S) is 5, n (T) is 7, n (∪) is 11 and n (∩) is 1. The solution has been obtained by using the given sets.
What is a set?
Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is symbolised by a capital letter. The number of items in the finite set is known as the cardinal number of a set.
We are given two sets as S = {r, e, l, a, x} and T = {i, t, s, o, k, a, y}.
Now,
n (S) = 5
This is because there are 5 elements in this set.
n (T) = 7
This is because there are 7 elements in this set.
S ∪ T = {r, e, l, a, x, i, t, s, o, k, y}
n (∪) = 11
This is because there are 11 distinct elements in the sets.
S ∩ T = {a}
n (∩) = 1
This is because there is only 1 element common in the sets.
Hence, the required solution has been obtained.
Learn more about sets from the given link
https://brainly.com/question/13458417
#SPJ1
PLEASE HELP PICTURE BELOW
Joseph is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be
34.05 meters. He stands 29.7 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
(Diagram is not to scale.)
Answer:
34.05 m-
2T
1.75 m
29.7 m
Answer:
Step-by-step explanation:
34,05m my love
Answer:
The height of the tree is approximately 15.14 meters, rounded to the nearest hundredth of a meter.
Step-by-step explanation:
Let's call the height of the tree "h". We can use similar triangles to set up an equation involving Joseph's height, the length of his shadow, the height of the tree, and the length of the tree's shadow.
The two triangles we're interested in are:
Joseph's triangle: This triangle has a height of 1.75 meters (Joseph's height) and a base of x meters (the length of Joseph's shadow).
Tree's triangle: This triangle has a height of h meters (the height of the tree) and a base of 29.7 - x meters (the length of the tree's shadow).
Since the two triangles are similar, we can set up the following proportion:
h / (29.7 - x) = 1.75 / x
To solve for h, we can cross-multiply and simplify:
h * x = 1.75 * (29.7 - x)
h * x = 52.075 - 1.75x
h = (52.075 - 1.75x) / x
Now we need to find the value of x that makes the tips of the two shadows meet. From the problem statement, we know that x + 34.05 = 29.7, so:
x = 29.7 - 34.05
x = -4.35
This means that the tips of the shadows don't actually meet, but the problem is likely assuming that the tips of the shadows are very close together, so we can use the value x = -4.35 to approximate the height of the tree.
Substituting x = -4.35 into our equation for h, we get:
h = (52.075 - 1.75(-4.35)) / (-4.35)
h = 15.14
The figure below shows a circle with Center A, diameter IP, and tangents SL, PL, and IC. Which of the angles must be right angles?
Marcus gives 25% of his income to his parents to help cover expenses. He earns $340 per week. How much money does he gives his parents?
Answer:
$85
Step-by-step explanation:
340*0.25
what is the value of x
The value of the variable x for the similar triangles is equal to 25
How to evaluate the value of x for the similar trianglesThe triangles BDR and QDC are similar, this implies that the length DC of the smaller triangle is similar to the length DR of the larger triangle
and the length DQ of the smaller triangle is similar to the length DB of the larger triangle
so;
x/(15 + x) = 40/64
64x = 40(15 + x) {cross multiplication}
64x = 600 + 40x
64x - 40x = 600 {subtract 40x from both sides}
24x = 600
x = 600/24
x = 25
Therefore, the value of the variable x for the similar triangles is equal to 25
Know more about similar triangles here:https://brainly.com/question/14285697
#SPJ1
Which of the following are true of
all linear functions?
A. The rate of change is
non-zero.
B. The domain is all real
numbers.
C. The range is all real
numbers.
D. There is one x-intercept.
E. There is one y-intercept.
The domain is all real numbers, The range is all real numbers and There is one y-intercept is true from the given option in context of all linear functions. option B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept is right choice.
All linear functions have a domain that includes all real numbers, a range that includes all real numbers, and exactly
one y-intercept.
The rate of change of a linear function is non-zero only if the function is not constant (i.e. its slope is not zero).
However, there are linear functions that have a slope of zero, such as the function f(x) = 2, which is a horizontal line.
This means that statement A is not true of all linear functions.
Furthermore, there are linear functions that have no x-intercept (if the line is parallel to the x-axis) or that have more
than one x-intercept (if the line intersects the x-axis more than once).
Therefore, statement D is also not true of all linear functions.
The correct answers to this question are B. The domain is all real numbers, C. The range is all real numbers , and E. There is one y-intercept.
for such more question on linear functions
https://brainly.com/question/9753782
#SPJ11
A business analyst wants to determine if the prices of goods at a supermarket have changed significantly since the new owner of the company took over. She looks at the prices of ten items before the new owner took over compared to after the new owner started.
(Chart in photo below)
Based on the data in the table and using a significance level of 0.05, what is the correct P-value and conclusion?
A. With a t statistic of 1.4789 and a P-value of 0.173292, reject the no hypothesis that prices have not changed
B. With a T statistic of 1.4789 and a P value of 0.173292, fail to reject the null hypothesis. The prices have not changed.
C. With a T statistic of 0.7394 and a P value of 0.478505, reject the no hypothesis that prices have not changed.
D. With a T statistic of 0.7394 anda P value of 0.478505, fail to reject the no hypothesis that prices have not changed.
Please answer quickly, 100 points thank you !
Answer: Option A
Step-by-step explanation:
The t-statistic and P-value can be calculated using statistical software or a t-test calculator. Using a two-tailed t-test with a significance level of 0.05 and 8 degrees of freedom (n1 + n2 - 2), we obtain:
t = -1.4789
P-value = 0.173292
Therefore, the correct answer is A. With a t statistic of -1.4789 and a P-value of 0.173292, we fail to reject the null hypothesis that the prices have not changed significantly since the new owner took over. We cannot conclude that the prices have changed significantly.
With a T statistic of 0.7394 and a P value of 0.478505, fail to reject the no hypothesis that prices have not changed. The correct option is D.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that there is no statistical significance in a given set of observations.
Using sample data, hypothesis testing is used to assess the credibility of a hypothesis.
To determine if the prices of goods at a supermarket have significantly changed since the new owner took over, we can perform a two-sample t-test with the null hypothesis being that the mean difference in prices before and after the new owner took over is zero.
Using a significance level of 0.05, the critical t-value for a two-tailed test with 9 degrees of freedom is approximately 2.306.
To calculate the t-statistic, we first need to calculate the mean and standard deviation of the differences in prices:
Mean difference = (0.30 - 0.07) / 10 = 0.023
Standard deviation = 2.967
t-statistic = (0.023 - 0) / (2.967 / sqrt(10)) = 0.7394
The calculated t-value of 0.7394 is less than the critical t-value of 2.306, and the corresponding p-value is 0.4785. This means we fail to reject the null hypothesis that the mean difference in prices is zero.
Therefore, based on the given data and using a significance level of 0.05, the correct P-value and conclusion are:
Thus, the correct option is D.
For more details regarding null hypothesis, visit:
https://brainly.com/question/28920252
#SPJ2
Need help due soon.
Answer:
The correct equation that represents the relationship between b and f is:
Ob = (3/2)f
Explanation:
We know that Priya uses 4 cups of flour to make 3 loaves of banana bread.
So, the amount of flour required per loaf of bread is 4/3 cups.
Now, if Andre makes b loaves of bread using f cups of flour, then the amount of flour required per loaf of bread is f/b cups.
We can set up a proportion as follows:
4/3 = f/b
Cross multiplying, we get:
4b = 3f
Dividing both sides by 3, we get:
b = (3/4)f
This means that Andre can make (3/4) loaves of bread per cup of flour.
But the question asks for the relationship between b and f, so we need to rearrange the equation:
b = (3/4)f
Multiplying both sides by (2/3), we get:
(2/3)b = (1/2)f
Simplifying, we get:
Ob = (3/2)f
Therefore, the correct equation that represents the relationship between b and f is Ob = (3/2)f.
I need help on question 30 and 32.
Refer to the attached images.
Select all the true statements, if each interior angle measure of a regular polygon is (2x
+ 20)°.
All the true statements, if each interior angle measure of a regular polygon is (2x + 20)° include the following:
A. If x = 60, then the regular polygon is a nonagon.
C. If x = 77, then the regular polygon is a 60-gon.
D. If x = 65, then the regular polygon is a dodecagon.
D. If x = 44, then the regular polygon is a pentagon.
How to calculate the number of sides?In Geometry, the measure of each interior angle of a regular polygon can be calculated by using this mathematical expression:
Interior angle = [180 × (n - 2)]/n
Where:
n represents the number of sides of a regular polygon.
When x = 60, the number of sides of the regular polygon is given by:
(2x + 20)° = [180 × (n - 2)]/n
(2(60) + 20)° = [180 × (n - 2)]/n
140 = [180 × (n - 2)]/n
140n = 180n - 360
360 = 40n
n = 9 sides.
When x = 77, the number of sides of the regular polygon is given by:
(2x + 20)° = [180 × (n - 2)]/n
(2(77) + 20)° = [180 × (n - 2)]/n
174 = [180 × (n - 2)]/n
174n = 180n - 360
360 = 6n
n = 60 sides.
When x = 65, the number of sides of the regular polygon is given by:
(2x + 20)° = [180 × (n - 2)]/n
(2(65) + 20)° = [180 × (n - 2)]/n
150 = [180 × (n - 2)]/n
150n = 180n - 360
360 = 30n
n = 12 sides.
When x = 41, the number of sides of the regular polygon is given by:
(2x + 20)° = [180 × (n - 2)]/n
(2(41) + 20)° = [180 × (n - 2)]/n
102 = [180 × (n - 2)]/n
102n = 180n - 360
360 = 78n
n = 4.6 sides.
When x = 44, the number of sides of the regular polygon is given by:
(2x + 20)° = [180 × (n - 2)]/n
(2(44) + 20)° = [180 × (n - 2)]/n
108 = [180 × (n - 2)]/n
108n = 180n - 360
360 = 72n
n = 5 sides.
Read more on regular polygon here: brainly.com/question/20911145
#SPJ1
Use the following diagram for questions 21-24 in which G is the centroid of AABC, FC=35, AG=42, BF=57, and
DG=14.
Find AC
Find BG
Find GC
Find AE
G is the centroid of triangle ABC, AC = 85.5, BG = 38, GC = 23.33 (rounded to two decimal places), AE = 11.67 (rounded to two decimal places).
Describe Triangle?A triangle is a closed, two-dimensional shape that consists of three straight sides and three angles. It is one of the basic shapes in geometry and is often used in various mathematical and scientific contexts.
The three sides of a triangle are usually named using lowercase letters a, b, and c, and the three angles are named using uppercase letters A, B, and C, with the opposite angles and sides having the same letter. The sum of the angles in a triangle is always 180 degrees, and this property is known as the Angle Sum Theorem.
Triangles can be classified based on their side lengths and angles. Based on the side lengths, triangles can be classified as:
Scalene triangle: A triangle in which all three sides have different lengths.
Isosceles triangle: A triangle in which two sides have the same length, and the third side has a different length.
Equilateral triangle: A triangle in which all three sides have the same length.
We can start by using the fact that G is the centroid of triangle ABC, which means that the medians from each vertex intersect at G. Therefore, we know that:
FC = 2/3 * EA (since FC is a median and EA is the corresponding segment of the opposite side)
AG = 2/3 * DC (since AG is a median and DC is the corresponding segment of the opposite side)
BF = 2/3 * AC (since BF is a median and AC is the corresponding segment of the opposite side)
We can use these relationships to find the lengths of AC, BG, GC, and AE:
AC = 3/2 * BF = 3/2 * 57 = 85.5
BG = 2/3 * AG = 2/3 * 2/3 * AC = 4/9 * 85.5 = 38
GC = 2/3 * FC = 2/3 * 35 = 23.33 (rounded to two decimal places)
AE = EA/2 = 2/3 * FC/2 = 1/3 * 35 = 11.67 (rounded to two decimal places)
Therefore, the answers are:
AC = 85.5
BG = 38
GC = 23.33 (rounded to two decimal places)
AE = 11.67 (rounded to two decimal places)
To know more about median visit:
https://brainly.com/question/2272632
#SPJ1
Ann thought of a number, n . She multiplied it by 5 and then added 7. Then she told Jim the result, r
Start with the formula you wrote in part (b). Use it to write another formula that could help Jim find Ann’s number, n as soon as he is given the result, r
The formula that could help Jim find Ann’s number, n as soon as he is given the result, r is n = (r - 7) / 5.
How to write formula?Formula 1;
Let the unknown number Ann thought of = n
(n × 5) + 7 = r
5n + 7 = r
If Jim is given Ann's number n if given the results, r
This means Jim will make Ann's number n the subject of the formula;
5n + 7 = r
Subtract 7 from both sides
5n = r - 7
divide both sides by 5
n = (r - 7) / 5
Therefore, the formula written in terms of n is n = (r - 7) / 5
Read more on formula:
https://brainly.com/question/19041791
#SPJ1
Solid metal support poles in the form of right cylinders are made out of metal with a
density of 6.6 g/cm³. This metal can be purchased for $0.38 per kilogram. Calculate
the cost of a utility pole with a diameter of 17.6 cm and a height of 790 cm. Round
your answer to the nearest cent.
The cost of the utility pole is $127.36.
Three siblings, Peyton, Cameron, and Dakota, all ask their parents to borrow the family car for different events
around town. Since they cannot all borrow the car at the same time, the parents decide to use randomness to
decide who gets the car. They will roll a single, fair, six-sided number cube. Peyton gets the car if a 1 or 2 is
rolled. Cameron gets the car if a 3 or 4 is rolled, and Dakota gets the car if a 5 or 6 is rolled. Which of the
following is the probability distribution for who gets the car?
Well for each person, the probability is 1/3. This is because they all have 2 out of 6 possible outcomes.
What is the answer to this?
Answer:
B
Step-by-step explanation:
x + 3y = 2 → (1)
4x - 3y = 23 → (2)
adding (1) and (2) term by term will eliminate y
(x + 4x) + (3y - 3y) = 2 + 23
5x + 0 = 25
5x = 25 ( divide both sides by 5 )
x = 5
what is the next term of the geometric sequence 81/25, 27/5, 9
Answer:
the next term will be 15
Step-by-step explanation:
a=81/25
r(common ratio)=t2/T1=5/3
so,t4=ar^(n-1)
=81/25×5/3^(4-1)
= 81/25×125/27
=15
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant
A
B
C
D
Order Accurate
313
279
234
133
Order Not Accurate
36
55
37
17
If two orders are selected, find the probability that they are both accurate. Complete parts (a) and (b) below.
Question content area bottom
Part 1
a. Assume that the selections are made with replacement. Are the events independent?
The probability is enter your response here. The events
▼
are
are not
independent.
(Do not round until the final answer. Round to four decimal places as needed.)
Answer:
The events are not disjoint because it is possible to receive an accurate order from Restaurant A.
Step-by-step explanation:
The probability of getting an order from Restaurant A or an order that is accurate is 0.907.
Add up all numbers in the table. 1121.
Add up all numbers in the order accurate data set plus the A order, not accurate data set. 1017
Take 1121/1017=0.907
The events are not disjoint because it is possible to receive an accurate order from Restaurant A.
please please please please help
a. The triangles are not similar as the corresponding angles are different.
b. The triangles are similar as the corresponding angles are similar, so AAA criteria.
c. The triangles are similar as the corresponding angles are similar, so AAA criteria.
What are 4 prοperties οf cοmparable triangles?
Similar triangles have the same shape but varying sizes. Cοrrespοnding angles are identical in similar triangles. Similar triangles have cοrrespοnding sides that have the same ratiο. The ratiο οf the square οf any twο οf their cοrrespοnding sides tο any identical triangle's area is the same.
a. The triangles are not similar as the corresponding angles are different.
45 ° + 45 ° + x = 180°
30 ° + y + y = 180°
45 ° + 45 ° + x ≠ 30 ° + y + y
b. The triangles are similar as the corresponding angles are similar, so AAA criteria.
90° + 50° + x = 180°
90° + 40° + y = 180°
40° + y = + 50° + x
x + y = 40° + 50°
x + y = 90°
90° + 90° = 180°
c. The triangles are similar as the corresponding angles are similar, so AAA criteria.
Opposites angles are similar
45° + 65° + x = 180°
45° + 70° + y = 180°
65° + x = 70° + y
x + y = 70° + 65°
x + y = 135°
135° + 45° = 180°
To know more about triangle visit:-
brainly.com/question/2773823
#SPJ1
Matt increased his typing speed from 32 to 38 words per minute. What is the percent of increase
Answer:
Matt's typing speed increased by 18.75%.
Step-by-step explanation:
To find the percent increase, we can use the following formula:
percent increase = (new value - old value) / old value x 100%
Using this formula, we can calculate the percent increase in Matt's typing speed as follows:
percent increase = (38 - 32) / 32 x 100%
percent increase = 6 / 32 x 100%
percent increase = 0.1875 x 100%
percent increase = 18.75%
0
Can you prove A FDG A FDE? If so, why?
□ yes, ASA
yes, SAS
□ yes, AAA
no, not enough information
Answer:
by ASA rule
they are congruent
Allison cut 4 pieces of ribbon to make bookmarks. Each piece of ribbon was 50 cm long. How many meters of ribbon did Allison use to make the bookmarks?
Answer:
2 meters
Step-by-step explanation:
If she cut 4 pieces and each was 50 cm, we know that she used 200 cm of ribbon.
Cm to M conversion is that 100 cm = 1 meter, so 200 cm would be 2 meters
Mrs. Brown has constructed a pool that has a capacity of 800cm3 and a depth of 8cm what is the area of the upper surface?
Answer:
Step-by-step explanation:
To find the area of the upper surface of the pool, we need to know the dimensions of the pool. If we assume the pool has a rectangular shape, we can use the formula:
Area = length x width
We can find the length and width by using the given volume and depth. Since the volume of the pool is 800 cubic cm and the depth is 8cm, we can find the length and width using the formula:
Volume = length x width x depth
800 = length x width x 8
length x width = 800/8
length x width = 100
Now, we do not have enough information to determine the exact dimensions of the pool. However, we do know that the area of the upper surface of the pool is equal to the length times the width. Therefore, the area of the upper surface is 100 square cm.
At Christmas, Ben, Sam and Tom received cards in the ration 2 : 3 : 12.
If Tom received 60 cards.
(a) What fraction of the cards did Ben receive?
(b) What fraction did Ben and Sam receive between them?
(c) How many cards did Sam receive?
(d) How many cards did they receive altogether?
The diagram shows two circles with center O.
The radius of the outer circle is 3 units and the radius of the inner circle is 2 units.
What is the area of the shaded ring (annulus)?
Look at the picture below please answer quick because of my appointment?
Answer:
5
Step-by-step explanation:
S1=R1²=*3²=9 (the outer circle)
S2=R2²=*2²=4 (the inner circle)
S=S1-S2=9-4=5 (the shaded ring)
Taylor wants to take out a mortgage of $380,000 with interest that compounds monthly. Use the formula A = P(1 +)*t to find which of these loans will have the lowest total cost. A) 20 years at 10% interest B) 25 years at 6.5% interest C) 30 years at 5% interest D) 35 years at 4% interest
Using the compound interest formula it is obtained that the loans which will have the lowest total cost is option C) - 30 years at 5% interest.
What is Compound Interest?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
We can use the formula of compound interest [tex]A = P\big(1 + \frac{r}{n} \big)^{(nt)}[/tex] to calculate the total cost (A) of each loan, where P is the principal (the initial amount borrowed), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the total number of years.
For all loans, the principal P is $380,000.
For Loan A, the annual interest rate is 10%, and the interest is compounded 12 times per year (monthly), so r = 0.1/12 and n = 12.
The total time is 20 years, so t = 20.
Plugging in the values, we get -
[tex]A = $380,000(1 +0.1/12)^{(12 \times20)} = $1,245,956.70[/tex]
For Loan B, the annual interest rate is 6.5%, and the interest is compounded 12 times per year (monthly), so r = 0.065/12 and n = 12.
The total time is 25 years, so t = 25.
Plugging in the values, we get -
[tex]A = $380,000(1 +0.065/12)^{(12 \times25)} = $844,275.92[/tex]
For Loan C, the annual interest rate is 5%, and the interest is compounded 12 times per year (monthly), so r = 0.05/12 and n = 12.
The total time is 30 years, so t = 30.
Plugging in the values, we get -
[tex]A = $380,000(1 +0.05/12)^{(12 \times30)} = $766,726.73[/tex]
For Loan D, the annual interest rate is 4%, and the interest is compounded 12 times per year (monthly), so r = 0.04/12 and n = 12.
The total time is 35 years, so t = 35.
Plugging in the values, we get -
[tex]A = $380,000(1 +0.04/12)^{(12 \times35)} = $810,780.25[/tex]
Therefore, Loan C with 30 years at 5% interest has the lowest total cost, with a total cost of $766,726.73.
To learn more about compound interest from the given link
https://brainly.com/question/28020457
#SPJ1
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar right triangles. Triangle 1 has side length 12, hypotenuse 15, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side. a. StartFraction 4 Over 15 EndFraction = StartFraction 5 Over 12 EndFraction = StartFraction 4 Over 15 EndFraction b. StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction c. StartFraction 4 Over 12 EndFraction = StartFraction 5 Over 15 EndFraction = StartFraction 1 Over 3 EndFraction d. StartFraction 5 Over 4 EndFraction = StartFraction 15 Over 12 EndFraction = StartFraction 5 Over 4 EndFraction
Answer:
Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.
For Triangle 1, we have:
Side length = 12
Hypotenuse = 15
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 15^2 - 12^2
(Blank side)^2 = 225 - 144
(Blank side)^2 = 81
Blank side = 9
So, for Triangle 1, we have the following ratios:
Side length : Hypotenuse = 12 : 15
Side length : Blank side = 12 : 9
Hypotenuse : Blank side = 15 : 9
For Triangle 2, we have:
Side length = 4
Hypotenuse = 5
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 5^2 - 4^2
(Blank side)^2 = 25 - 16
(Blank side)^2 = 9
Blank side = 3
So, for Triangle 2, we have the following ratios:
Side length : Hypotenuse = 4 : 5
Side length : Blank side = 4 : 3
Hypotenuse : Blank side = 5 : 3
Therefore, the ratio of corresponding sides for the two similar triangles is:
Side length : Side length = 12 : 4 = 3 : 1
Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1
Blank side : Blank side = 9 : 3 = 3 : 1
Reducing each ratio to lowest terms, we get:
Side length : Side length = 3 : 1
Hypotenuse : Hypotenuse = 3 : 1
Blank side : Blank side = 3 : 1
So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.
Help me find the mean medium and mode and range
Answer:
Step-by-step explanation:
Mean is when you add all the numbers toghther and then you divide it by how many numbers there are so for example we would add 15 + 15+8+12+15+8+20+12+10+12 and we get 127 from there we divide it by 10 because there are 10 numbers and we get 12.7
Range is simple all you do is subtract the biggest number by the smallest number and you get 20 - 8 = 12. SO the range is 12
I hope this helps :)
100 POINTS PLEASEE HELPPP BRAINLIEST
Answer:
C
.........................
Answer: the answer is A
Step-by-step explanation: The process of nuclear fusion is the union of two light atomic nuclei into one heavier one while releasing enormous quantities of energy.
Select all that apply.
Graphs of parabolas can be found in:
Quadrant III
Quadrant II
Quadrant IV
Quadrant I
How will the product change if one number is decreased by a factor of 2 and the other is decreased by a factor of 8 ?
The product is decreased by a factor of 16.
What is a factor?
In mathematics, a factor is a number or quantity that, when multiplied with another number or quantity, produces a given result. For example, in the expression 3 x 4 = 12, 3 and 4 are factors of 12. Factors can also refer to algebraic expressions, where they are the expressions that are multiplied together to obtain a larger expression.
Let's say we have two numbers, A and B, and we want to find the product of A and B.
The product of A and B is AB.
If we decrease A by a factor of 2, the new value of A becomes A/2. If we decrease B by a factor of 8, the new value of B becomes B/8.
So the new product of A/2 and B/8 is:
(A/2)(B/8) = AB/16
Therefore, the product is decreased by a factor of 16.
To learn more about factors, visit the link:
https://brainly.com/question/25829061
#SPJ1