The p-value of the test statistic is calculated as follows:
0.6386.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is actually of 48.3 miles per gallon, that is:
[tex]H_0: \mu = 48.3[/tex]
At the alternative hypothesis, it is tested if the mean is different of that, hence:
[tex]H_1: \mu \neq 48.3[/tex]
What is the test statistic?The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.
The equation is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The parameters for this problem are given as follows:
[tex]\overline{x} = 48.2, \mu = 48.3, \sigma = \sqrt{6.76} = 2.6, n = 150[/tex]
Hence the test statistic is obtained as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{48.2 - 48.3}{\frac{2.6}{\sqrt{150}}}[/tex]
z = -0.47.
The p-value is found using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, with z = -0.47, hence it is of:
0.6386.
More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
#SPJ1
Gorilla
Sophia
George
Nancy
Hank
Paula
Gavin
Weight
(pounds)
318
417
310
136
62
24
Plugged
into
3c+9=417
True or
False?
Help please I don’t know what the answer is
Answer:
69
Step-by-step explanation:
becuz
What is the degree of the polynomial 7x 3 4x² *?
The degree of polynomial 7x³ + 4x² is 3 as the highest power is 3.
What is degree of polynomial?One of the fundamental ideas in mathematics is the degree of polynomials, which determines the maximum number of solutions a function can have and how frequently a function will cross the x-axis on a graph.
Polynomials are also useful in understanding how functions can be represented mathematically. It has the highest exponential power in the polynomial equation.
The greatest power of a variable in a polynomial equation is its degree. When calculating the degree of a polynomial function, only terms with variables are considered. The degree of the polynomial can be determined by looking at the variable term with the highest exponential power.
Learn more about polynomial's degree
https://brainly.com/question/29195568
#SPJ4
9m-4n=1
11m-3n=5 in simontaneous equation
The values of the variables are n = -17/31 and m = 23/93
How to determine the valuesFrom the information given, we have the equations;
9m-4n=1 equation 111m - 3n = 5 equation 2To solve the simultaneous equation, we have to take the following steps
Make 'm' the subject from equation 1
9m = 1 + 4n
Divide both sides by 9, we get;
m = 1 -4n/9
Substitute the value into equation (2), we have;
11(1 -4n/9) - 2n = 5
expand the bracket
11 - 44n/9 - 2n = 5
find the LCM
11 - 44n - 18n /9 = 5
cross multiply
11- 62n = 45
collect like terms
-62n = 45 - 11
-62n = 34
Make 'n' th subject
n = -34/62
n = - 17/31
Substitute the value into equation (3)
m = 1 - 4(-17/31)/9
m = 1+68/31 ÷9
m = 69/31 × 1/9
m = 69/279
m = 23/93
Hence, the values are n = -17/31 and m = 23/93
Learn more about simultaneous equation here:
https://brainly.com/question/16863577
#SPJ1
How many powers of 7 are contained in 10?
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
To know more about exponents visit :
https://brainly.com/question/30066987?referrer=searchResults
#SPJ4
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
To know more about exponents visit :
brainly.com/question/30066987?referrer=searchResults
#SPJ4
. On Monday, Deborah ran 32/5 miles and on Tuesday she ran 41/5 miles. How many miles did she run on these two days together?
Answer: She ran 7 3/5 miles on the two days
Step-by-step explanation
Miles ran by Deborah on Monday =32/5 miles
Miles ran by Deborah on Tuesday = 41/5 miles'
Total miles ran by Deborah on the two days
=3 2/5 +4 1/5
=7 2+1 /5
=7 3/5 miles
A polynomial function P(x) with rational coefficients has the roots sqrt 2 and - sqrt 13. Find two additional roots.
Answer:
[tex]-\sqrt{2}[/tex] and [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given a polynomial with rational coefficients, its irrational and complex roots would occur in conjugate pairs.
For example, if the roots of a polynomial are 2 + [tex]\sqrt{3}[/tex], 3 and 4 - 3i, then 2 - [tex]\sqrt{3}[/tex], and 4 + 3i are also roots of the polynomial.
Therefore, since the given polynomial has rational coefficients and some of its roots are , [tex]\sqrt{2}[/tex] and - [tex]\sqrt{13}[/tex], then -[tex]\sqrt{2}[/tex] and [tex]\sqrt{13}[/tex] are also roots of the polynomial.
Evaluate the following expression: (-5)(6) + (-6) ÷ (-3). Remember to show your work
Answer:
-28
Step-by-step explanation:
(-5)(6) + (-6) ÷ (-3) =
-30 + (-6) ÷ (-3) =
-30 + 2 =
-28
Hope that helps! :)
-Aphrodite
Answer: =-28
Step-by-step explanation: Hope this help :D
what is the probability that you get a total of 17 given You are playing a version of the roulette game, where the pockets are from 0 to 10 and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability that you get a total of 15 given on the first spin you spin a 2
In the roulette game, the probability that you get a total of 15 given on the first spin you spin a 2 is 8.26%
To find: the probability that you get a total of 15 in three trials
Given that you spin a 2 on the first trial.
This means, the required probability is equivalent to the probability of finding a sum of 13 in the next two trials.
In each trial, there are 11 possible outcomes as the pockets numbered from 0 to 10.
so the sample space i.e., the total number of outcomes is:
S = 11^2
S = 121
And the favourable outcomes would be,
(2, 11), (3, 10), (4, 9), (5, 8), (6, 7), (7, 6), (8, 5), (9, 4), (10, 3), (11, 2)
So, the number of favourable outcomes A = 10
Using the definition of probability,
P = A/S
P = 10/121
P = 0.0826
P = 8.26%
Learn more about the probability here:
https://brainly.com/question/15124899
#SPJ4
The complete question is:
You are playing a version of the roulette game, wherethe pockets arefrom 0 to 10 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 15 given on thefirst spin youspin a 2
Type the correct answer in the box. Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function , where s is time in seconds. The area of the spill when seconds is square inches.
The area of the oil spill is 2.924π square inches.
What is the radius of the circle?
Any line segment connecting a circle's center to its perimeter is considered a circle's or sphere's radius, and in more recent usage, their length is also considered. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."
Here, we have
The radius of the circle of oil spread is modeled by the function r = ∛s where s = time in seconds.
The area of the oil spill A = πr²
= π(∛s)²
So, we need to find the area of the oil spill when s = 5.
So, A = π(∛s)²
A = π(∛5)²
A = π(1.7099)²
A = 2.924π square inches.
Hence, the area of the oil spill is 2.924π square inches.
To learn more about the radius of the circle from the given link
https://brainly.com/question/9221485
#SPJ4
Tamara said the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y). Is she correct? Explain. And what is the correct expression.
Answer:
Yes, Tamara is correct that the Distributive Property was used to write 21x + 56xy as an equivalent expression, 7(3x + 8y).
The Distributive Property states that for any real numbers a, b, and c, we have:
a(b + c) = ab + ac
This property allows us to distribute a factor to each term within a set of parentheses.
In this case, Tamara used the Distributive Property to rewrite the expression 21x + 56xy as an equivalent expression. She did this by taking the factor of 7 and distributing it to each term within the parentheses:
7(3x + 8y) = (73x) + (78y) = 21x + 56xy
Therefore, the correct expression is 7(3x + 8y).
Step-by-step explanation:
Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Answer:
5%
Step-by-step explanation:
Please help me ASAP!!
D (b,c)
\C (a,0),
A(-.-)
B
What is the perimeter of the hexagon?
Answer:
D
Step-by-step explanation:
buohcuihefjejfkjkclhfvujhfjvnkljsfnvnfuhvnkk j bljfvnk nvn fv bvkjnfn vn hbfvkjbdvn vhbvfj hbf fd vdkjkfnvkjdnjvn df jb j bn bfkjbs jsb
Type the correct answer in each box. Use numerals instead of words. The length of a rectangular soccer field is 40 feet more than twice the width of the field. Complete an equation for the area of the field, where w is the width of the field.
A =2 w² +40 w
First Blank =2
Second Blank = 40
CAN SOMEONE HELP ME PLEASE!!! I WILL GIVE THE BRAINIEST AND 100 POINTS!!!
Step-by-step explanation:
the length of hypotenuse =
√(21²+28²) = √(441+784)
= √1225
= 35 yd
the perimeter of triangle =
21+28+35 = 84 yd
the area of triangle =
½×21×28 = 294 yd²
Answer: 35 yd
Step-by-step explanation:
28^2+21^2=1225
√1225
=35
Why is it important to use
estimation when solving problems?
Answer: Without estimation skills, students aren't able to determine if their answer is within a reasonable range.
Step-by-step explanation:
to make sure your answer at least make sense to the question
3 An art class is making mosaics with glass squares. Each of the 121 students will get the same number of glass squares to use. The total number of glass squares for the students to use is shown. How many glass squares will each student get? A. Write an expression that can be used to find the number of glass squares each student will receive. B. Complete the given division problem to find the number of squares each student will receive. C. How many whole glass squares will each student receive? 1,240 glass squares D. A remainder is the amount left over when an amount cannot be divided equally. What does the remainder mean in this context? 121)1240 30 R
Answer: A. To find the number of glass squares each student will receive, we need to divide the total number of squares by the number of students.
We can write this as:
x = number of glass squares per student
x = 1240 / 121
B. To find the number of squares each student will receive, we need to solve for x by dividing 1240 by 121.
1240 ÷ 121 = 10.246753246753247
C. Each student will get 10 whole glass squares.
D. The remainder in this context is the number of glass squares that cannot be distributed evenly among the students. In this case, the remainder is 30. It means that there will be 30 glass squares left over after each student has received 10 squares. It's like remainder in division where after dividing 1240 by 121 the quotient is 10 and the remainder is 30.
Step-by-step explanation:
Live wants to have his birthday party at the bowling alley with a few of his friends but he must be a less than $80 the bowling alley charge a flat fee of $45 for a private party +5.50 per person
Answer: 45+16.5=61.5
Step-by-step explanation:
if there is 2 friends going with him it would be 45+16.5=61.5
so that is how much he spends in there is more friends ill give you the other answer if there is more friends
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK. Figures are not drawn to scale.
The measure of side KL in the given quadrilateral is 31.88 units.
What is a Quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry.
The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name.
A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.
Convex and concave are the two main forms.
Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
So, according to the given figure of FGHI and JKLM:
FG/JK = GH/KL = HI/LM = FI/JM
GH/KL = HI/LM
7/KL = 9/41
KL = 7*41/9 = 31.888
Therefore, the measure of side KL in the given quadrilateral is 31.88 units.
Know more about Quadrilaterals here:
https://brainly.com/question/16691874
#SPJ4
Correct question with a diagram:
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.
Find 1)
4 integral 0 f(x) dx
if f(x) = 2 for x < 2
= x for x ? 2
Answer:
X = 1 and below
Step-by-step explanation:
since X is less than 2.
the value of X will be 1 and below.
Which of the following is an angle shown in the drawing?
∠DEB
∠CBF
∠ABF
∠BEC
Answer:
<DEB
Step-by-step explanation:
It's pretty simple actually. You just have to follow the letters to see if they make an angle. Please mark brainliest. :)
A right triangle has two equal sides. The hypotenuse is 10 cm. What is the perimeter of the triangle?
I'LL GIVE BRAINLIEST I JUST RLLY NEED THIS LOL
Answer:
Isosceles Right Triangle Example
Step-by-step explanation:
Find the area and perimeter of an isosceles right triangle whose hypotenuse side is 10 cm. Therefore, the length of the congruent legs is 5√2 cm. Therefore, the perimeter of an isosceles right triangle is 24.14 cm.
Hope this answer helps ^^
Suppose an earthquake can be felt up to 80 miles from its epicenter. You are located at a point 60 miles west and 45 miles south of the epicenter. Do you feel the earthquake? If so, how many miles south would you have to travel to be out of the range of the earthquake?
Answer:
Yes (you are 75 mi from epicenter). Travel at least 7.91 mi south
Step-by-step explanation:
See the attached image.
The epicenter is the point at the upper right of the drawing. You are 60 miles west (left) and 45 miles south (down) from the epicenter. A right triangle is formed--apply the Pythagorean Theorem, (leg)^2 + (leg)^2 = (hypotenuse)^2.
[tex]x^2=60^2+45^2\\\\x^2=3600+2025\\\\x^2=5625\\\\x=\sqrt{5625}=75[/tex] This is within 80 mi, so you feel the quake.
Now (see image2) you go y miles south. You want the distance between you and the epicenter to be at least 80 mi. You have another right triangle with legs 60 and y + 45 and hypotenuse 80.
[tex](y+45)^2+60^2=80^2\\\\(y+45)^2+3600=6400\\\\(y+45)^2=2800\\\\y+45=\sqrt{2800}\\\\y=\sqrt{2800}-45 \approx 7.91 \rm mi[/tex]
the scatter plot shows a regression line of units demanded and price. if the demand is for 35 units what would be the predicted price per unit?
A)$20
B)$23
C)$27
D)$32
According to the following graph, we have identified that if the demand is for 35 units then the predicted price per unit is $27.
The term graph in math is defined as pictorial representation of algebraic equation.
Here we have given the following graph and here we also know that the scatter plot shows a regression line of units demanded and price.
Here we need to know the definition of regression line, which means the relationship between two variables. And it is applied in scenarios where the change in the value of the independent variable causes changes in the value of the dependent variable.
Based on these definition, here we have the relationship between the units demanded and the price of those units.
Now, by looking into the given graph, we have identified that if the demand is for 35 units, then the units price is $27.
Therefore, option (c) is correct.
To know more about Graph here
https://brainly.com/question/17267403
#SPJ4
I need help and please no links
Answer:
I need help and please no links
here's the answer
x=-5/3
Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks which shows the number of waves tower will need to say to be able to buy the television.
Answer:
13 weeks
Step-by-step explanation:
Given that :
Cost of new tub = $312
Planned saving per week = $24
The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :
Number of weeks = cost of new tub / weekly saving
Number of weeks = $312 / $24
Number of weeks = 13 weeks
Brian sat in a massage chair at a shopping mall for 8 minutes and paid $9. Norah sat in
the same massage chair for 12 minutes and paid $11. If the relationship between the
number of minutes and the amount paid is linear, with x representing the minutes and y
representing the amount paid in dollars, which of these equations models the situation?
A. x = 0.5y + 5
B. x = y + 1
C. y = 0.5x + 5
D. y = x + 1
Answer:
(1/2)x + $5 (Answer A)
Step-by-step explanation:
Two points on the line representing the cost are (8, $9) and (12, $11).
The change in x is 4 (minutes); this is the 'run.' The change in y is $2 (this is the 'rise'). Thus, the slope of this line is m = rise / run = $2/(4 min), or 1/2 dollar per min.
Applying the slope-intercept formula y = mx + b, we get:
$9 = (1/2)(8) + b, and from this we see that b must be $5.
Then the correct equation is y = (1/2)x + $5.
consider the fahrenheit thermometer. what does zero mean in this context
minuscule temperature. There are a number of tales of how he initially created his scale, but the original publication states that the lower Fahrenheit defining point, 0 °F, was set as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt).
How do Fahrenheit and Celsius compare?Thus, the difference between Celsius and Fahrenheit is 1.8 times. In other words, 1 degree Fahrenheit is equivalent to 5/9 degree Celsius. These two temperature scales overlap at -40 degrees, which means that -40 degrees Fahrenheit is equivalent to -40 degrees Celsius despite their quite significant discrepancies.
How hot or chilly is Celsius?°C) is a different unit of measurement for temperature. Except for the United States, most nations use Celsius as their unit of measurement. 0 degrees Celsius is really chilly. 40 degrees is a scorching temperature!
To know more about Fahrenheit visit:-
brainly.com/question/516840
#SPJ1
PLEASE! I need the prime-power factorizations for these!!!
Answer:
21) 2 x 11
23) 2 x 2 x 2 x 3
25) 3 x 5
27) 2 x 2 x 5
29) 3 x 7
Step-by-step explanation:
Graph the line that passes through the points (1, -2) and (-1,-6) and
determine the equation of the line.
Answer:
y = 2x - 4
Step-by-step explanation:
The equation is y = mx + b
m = The slope
b = y-intercept
To find the slope, we look for the rise/run or (y2 - y1) / (x2 - x1)
The slope here is 2, and the y-intercept is located at (0,-4), so the equation is
y = 2x - 4