The approximate shape of the sampling distribution of the sample will be normal.
Option E is correct.
Sampling distribution:
It is a statistic that determines the probability of an event based on data from a small group within a large population.
Given that, is greater than or equal to 15 and is greater than or equal to 15.
and
So that the new mean and standard deviation will be,
Thus, the approximate shape of the sampling distribution of the sample will be normal.
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What is the slope of the line shown below?
AY
10
o
A. 2
(4,8)
B. -2
(2, 4)
C. -4
5
10
15
D. 4
10
The slope of the line is 2.
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the line,
Coordinates are:(2, 4) and (4, 8)
Now,
(2, 4) = (a, b) and (4, 8) = (c, d)
Slope.
= (d - b) / (c - a)
= 8 - 4 / 4 - 2
= 4 / 2
= 2
Thus,
The slope of the line is 2.
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What types of lines are coplanar and intersect at a right angle?
A. parallel
B. perpendicular
C. skew
D. transversal
Answer:
B
Step-by-step explanation:
perpendicular is right angle
y=-2x + 11 and y= 4x + 2
(Answer for 100 brainlist!!)
Just solve the x value for the frist equation and the y value for the secound equation
x=-1.5
y=8
the answer is in the picture below
I need help with this bc i dont understand it can somebody help me plzzzzz i'll give you 40 points for it!!!! And name you brainly!!!!!!!
Answer:
8.79 in
Step-by-step explanation:
23 = 150/360 × 2×3.14× r
23 = 5/12 × 6.28 x r
23 = 31.4×r / 12
31.4 r = 23×12
31.4 r = 276
r = 276/31.4
r = 8.79 in
write an explicit rule for -2, 5, 12, 19
The explicit rule for the sequence -2, 5, 12, 19 is
-2 + (n - 1) 7.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
-2, 5, 12, 19
This is an arithmetic sequence.
The first term.
a = -2.
The common difference.
d = 5 - (-2) = 7
= 12 - 5 = 7
= 19 - 12 = 7
Now,
The nth term of an arithmetic sequence.
= a + (n -1)d
= -2 + (n - 1)7
Thus,
The explicit rule is -2 + (n -1) 7.
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Write each expression with a single exponent:
Answer:
10^1410^2710^1810^610^610^35Step-by-step explanation:
with raising an exponent to the power of another exponent all you need to do is multiply the exponents.
the base remains the same.
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W)(10) =
(V-W)(10) =
(VW)(10) =
Answer:
21
3
108
Step-by-step explanation:
(V+ W)(10) = 12 + 9 = 21
(V-W)(10) = 12 - 9 = 3
(VW)(10) = 12 * 9 = 108
What is the value of b? 2(b + 12) = 16
Answer:
The answers is 2b+24=16
Step-by-step explanation:
Multiply using the distributive property can I please have a brainless thank you and have a good afternoon
Answer:
B= -4
Step-by-step explanation:
2 x -4 = -8
2 x 12 = 24
24 - 8 = 16
Jill had -$100 in her bank account in March. Jill then added $75 to her account in April.
What was the change in Jill's bank account for March and April combined?
How much did she have in her account at the end of April?
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1.50. She sold each cup of lemonade for $0.25. Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9.75 after paying out the cost of the lemonade x=
BOUNDS QUESTION GCSE MATHS - A race is measured to have distance of 10.6km, correct to the next0.1km. Sam runs the race in a time of 31 minutes 46seconds, correct to the nearest second.
Sam's average speed in this race is Vkm/hour.
By considering bounds, calculate the value of Vkm to a suitable degree of accuracy. You must show your work and get reasons for your answer. [5 MARKS]
The average speed of Sam's race car is equal to 20 kilometers per hour.
How to determine the average speed of a race car
In this question we find the case of a race car being displaced in a race whose length (s) is 10.6 kilometers, a distance traveled in a time (t) of 31 minutes and 46 seconds (1906 seconds). The average speed (v), in kilometers per hour, is described by the following formula that assumes an hypothetical constant speed:
v = s / t
Where:
s - Distance, in kilometers.t - Time, in hours.First, convert time into hours:
t = (31 min) · (1 hour / 60 min) + (46 s) · (1 hour / 3600 s)
t = 0.529 h
Second, calculate the average speed:
v = (10.6 km) / (0.529 h)
v = 20.038 km / h
v = 20 km / h
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What is the standard from of the equation for the line of y=1/4x+4. (Please help meeee)
Solve for x: 3(x+6)=21. A)1 B) 5 C)9 D) 13
Answer:
[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]3(x+6)=21[/tex]
We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.
(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.
[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]
[tex](x+6)=\frac{21}{3}[/tex]
[tex](x+6)=7[/tex]
Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
[tex]x+6-6=7-6[/tex]
[tex]x=7-6[/tex]
[tex]x=1[/tex]
We can test our solution by plugging 1 in for x in the original equation.
[tex]3(x+6)=21[/tex]
[tex]3(1+6)=21[/tex]
[tex]3(7)=21\\21=21[/tex]
This checks out (21 is equal to 21) so we know our answer is x=1.
Answer:
A. X=1Step-by-step explanation:
To solve this problem, you have to use the distributive property.
Isolate the x from one side of an equation.
Distributive property:
[tex]\sf{A(B+C)=AB+AC}[/tex]
First, divide by 3 from both sides of an equation.
[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]
Solve.
21÷3=7
Rewrite the problem down.
x+6=7
Then, subtract by 6 from both sides.
[tex]\sf{x+6-6=7-6}[/tex]
Solve.
7-6=1
[tex]\Large\boxed{X=1}[/tex]
The solution is x=1, which is our answer.
PLEASE ANSWER ASAP!
Help please??????????????
Answer:
The answer is B. 1/8
Step-by-step explanation:
Half of the garden is planted by seeds. The quarter of that half will be equal to 1/8 for the whole garden.
Sam made 60 gallons of paint by mixing 24
gallons of green paint with 36 gallons of blue
paint.
What part of every gallon is
from green paint?
Answer:
40% of every gallon is from green paint.
Step-by-step explanation:
Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:
60 = 100
24 = X
24 x 100/60 = X
2,400 / 60 = X
40 = X
Therefore, 40% of every gallon is from green paint.
PLZZ HELPP RATIONALL OR NOTTTT
Answer:
1. [tex]\sqrt{7}[/tex]
2. The square root of an imperfect square
Step-by-step explanation:
A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.
The square root of an imperfect square is always irrational.
A bag of 10 marbles has 4 blue, 4 green, and 2 red marbles. If a blue marble is randomly pulled and not replaced, what is the probability that the second marble randomly pulled will also be blue?
There are 32 females cast in the school play. The ratio of male roles to female roles is 3:8. How many males are cast in
the school play?
Answer:
12
Step-by-step explanation:
32×3/8
.................
Which number sentence is true?
please help: solve for x
Step-by-step explanation:
in an isoceles triangle (both legs have identical length) the height from the top corner to the baseline shots the baseline into 2 identical halves.
so,
6x + 6 = 9x - 15
6 = 3x - 15
21 = 3x
x = 21/3 = 7
many greetings to your teacher from me : he/ she made a formal mistake. the angles at Y have to be indicated as right angles. because if the line WY is not the height but could have any angle with the baseline, this cannot be solved.
Can anyone be my todor im 12 in 7th grade i need help with math?
Answer:
I can help you for free if you want!
Step-by-step explanation:
I'm in 11th grade, so I know most 7th-grade math things.
What is the mean? If the answer is a decimal, round it to the nearest tenth. 2 -5 9 6 -7 5
Answer:
1.7
Step-by-step explanation:
Adding together all the points, you get 10. 10 divided by 7 is 1.666666667, which rounds to 1.7
Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³
The volume of the cake Lani is making is 314 inches³.
Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:
V = πr²h/3
where V = volume
r = radius of the base of the cone
h = height of the cone
π = 3.14
If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.
Plug in the values to the formula and solve for the volume.
V = πr²h/3
V = (3.14)(5 inches)²(12 inches)/3
V = 314 inches³
Hence, the volume of the cake is 314 inches³.
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i’m not sure how to find the slope of the lines
Answer:
Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).
Label them as A and B (in any order).
Calculate the "rise" from A to B. While going vertically from A to B, if we have to go
"up", then the rise is positive;
"down", then the rise is negative.
Calculate the "run" from A to B. While going horizontally from A to B, if we have to go
"right", then the run is positive;
"left", then the run is negative.
Now, use the formula: slope = rise/run.
guys please help i'm stup!d
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
In this case we have the set of 20 points described above, then the mean is:
[tex]M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37[/tex]
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.
If c = 25 and B = 50 degrees, find a.
Answer:
25........................
Can some one help me with this question its hard :( down below ill give brainliest
favorite song? i like Liquid Smooth and Freaks
Answer:
Clouds, Sweater Weather, and Bestfriend also So what.
Post Malone Radio.
\frac { 32 x ^ { 2 } } { y } + \frac { 108 y ^ { 2 } } { x } y 32x 2 + x 108y 2
Therefore , the solution of the given problem of fraction comes out to be 4((2x)³ + (3y)³) /xy.
What exactly is a fraction?To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the fraction to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the exponent or population of a complicated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of a total number or item.
Here,
Given : 32x²/y + 108y²/x
=> (32x³+ 108y³ ) /xy
=> 4(8x³ + 27y³) /xy
=> 4((2x)³ + (3y)³) /xy
Therefore , the solution of the given problem of fraction comes out to be
4((2x)³ + (3y)³) /xy.
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What is the probability that this year's graduation will fall on the birthday of exactly one of the 68
Seniors? What is the probability that there is more than one such Senior?
As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.
How does probability work?fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.
Here,
The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.
As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.
Given: The likelihood of exactly 1 success after 68 attempts.
=> P(x=1) = 68!/ (68-1)! * 1/365
=> 68/365
= > 0.1863
As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.
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