The probability that a randomly selected student from the all-boys school will be shorter than 63 inches tall is approximately 0.9%.
To find the probability that a randomly selected student will be shorter than 63 inches tall, we need to use the standard normal distribution table or a statistical calculator.
Calculate the z-score for the value of 63 inches using the formula:
z = (X - μ) / σ
where X is the value (63 inches), μ is the mean (70 inches), and σ is the standard deviation (3 inches).
z = (63 - 70) / 3
z = -7 / 3
z = -2.3333
Now, we look up the area to the left of the z-score -2.3333 in the standard normal distribution table.
Using a standard normal distribution table, the cumulative probability for z = -2.33 (rounded to two decimal places) is approximately 0.009.
So, the probability that a randomly selected student will be shorter than 63 inches tall is approximately 0.009 or 0.9% (rounded to the nearest thousandth).
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What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
12+13+29+18+61+35+21 = 189189/7 = 27you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6then, square each calculated value from above
-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36then, add the squared values together
225+196+4+81+1156+64+36 = 1762you would then divide 1762 by 7 (number of data values given orginally)
1762/7 = 251.714finally, take the square root of 251.714 to find the standard deviation
[tex]\sqrt{251.714} = 15.866[/tex]There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar
Answer:
both jars contain 12 marbles
for the first jar the probability is 4/12 which is 33%
for the second jar the probability is 6/12 which is 50%
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
theres 12 mables in each jar in this situation.
What does x and y equal
The cadets had to complete a 12 mile hike in 3 hours. How many miles an hour did they have to walk?
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
10.7 m
Step-by-step explanation:
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
Convert radian measure into degrees.
From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation:
What type of angle is this pls hurry!
Answer:
Its an Obtuse angles
Step-by-step explanation:
x+79=2x-37
(x+79)+(-79)=(2x-37)+(-79)
x+79-79=(2x-37)-79
x=2x-37-79
x=116
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
Find the area. The figure is not drawn to scale.
a
30 yd2
b
6.5 yd2
c
15 yd2
d
13 yd2
Answer:
The area if the triangle is 15 yd^2
Step-by-step explanation:
The formula to find the area if a triangle is base × height ÷ 2. So for this question it is 10×3÷2=15
What are the volume of a rectangular pyramid with a length of 39 m, a width of 15 m, and a height of 16 m?
Answer:
3120 m³
Step-by-step explanation:
What is the volume of this triangular prism?
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]
Step-by-step explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]
substitute
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]
remove parentheses:
[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]
reduce fraction:
[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]
simplify multiplication:
[tex]\displaystyle V _{ \text{prism}} = 270[/tex]
hence, the Volume of the given prism is 270cm³
figure ABC has been dilated using a scale factor of 1/3 to produce figure A' B' C'. The origin is at the center of dilation
Answer:
A translation because it can map one angle onto another since dilation preserve angle measures of triangles.
Step-by-step explanation:
The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
No, the Normal/large sample condition is not met.
Option C is the correct answer.
What is a t-test?A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.
It is used when the sample size is small or the population standard deviation is unknown.
We have,
The conditions for inference in a t-test are:
Random condition:
The sample should be selected randomly from the population to ensure that the sample is representative of the population.
Normal/large sample condition:
The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.
Independence condition:
The observations in the sample should be independent of each other.
In this case,
The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.
Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.
Thus,
No, the Normal/large sample condition is not met.
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help please ill give you brainliest if it’s right
Answer:
[tex] \frac{1 }{3} \times \pi \times {4}^{2} \times 10 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {4}^{3} = 6 \times \pi \times {4}^{2} = 301.44[/tex]
Please just show work on how to solve!
Answer:
(5,7)
Step-by-step explanation:
3. Solve triangle ABC if a = 4, b = 6, and c = 5.
Show work
Answer:
4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps
Step-by-step explanation:
https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles
At a football stadium, 4% of the fans in attendance were teenagers. If there were 80
teenagers at the football stadium, what was the total number of people at the
stadium?
Answer:
2000 people
Step-by-step explanation:
4%= 80
2%=40
1%=20
100%= 2000 people
Hope this helped! :)
Answer:
2000 people
Step-by-step explanation:
80:4%
y:100%
[tex]\frac{80}{y} =\frac{4}{100}[/tex]
y × 4 = 80 × 100
4y = 8000
4y ÷ 4 = 8000 ÷ 4
y = 2000
What is the volume of a sphere with a radius of 10 inches? Round to the nearest hundredth.
Step-by-step explanation:
volume of sphere=4/3πr³
4/3×22/7×10×10419.0stay safe healthy and happy .Answer:
V = 4188.79 in^3
Step-by-step explanation:
The volume of a sphere is V = (4/3)(pi)(10 in)^3, or (using a calculator):
V = 4188.79 in^3
Lol, it seems like nobody helps anyone here anymore. It’s just full of bots
Answer:
Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao
The following statement tells one way to map preimage points to image points when performing a transformation in the coordinate plane. (x, y) → (x + 8, y − 3) This can be read, “The point with coordinates (x, y) is mapped to the point with coordinates (x, y) → (x + 8, y − 3).” With this transformaƟon, for example, (3, 5) is mapped to (3 + 8, 5 – 3) or (11, 2). The figure below shows how the triangle ABC is mapped to A′B′C′. Notice that the pre‐image and image appear to be congruent. Directions: Answer the following questions, showing all pertinent work. Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank. 1. Complete the transformation statement for moving Paul’s pole barn. (x, y)→(x + _______ , y + _______ )
Answer: What are the answers to your question?
Step-by-step explanation:
X, and Y they are both axis's so most likely you might be using a grid but the arn't showing so make a grid and find the coordinats
What is the opposite of
π
Answer:
diameter is your answer
Please help me! Best answer gets brainliest!
Answer:
Step-by-step explanation:
Answer:
This probably isn't much help but I got xy^5. It isn't on the multiple-choice but xy^6 is the closest to my answer so I would guess it's that.
step-by-step explanation:
Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?
Answer:
33 years and 4 months.
Step-by-step explanation:
Assuming it is a flat rate
3000 x 0.09 = $270 per year
12000-3000=9000
9000/270 = 33 years, 4 months
1/2 2/3 3/4 the average
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
What is the slope of the line that passes through (12, -18) and (11, 12)?
QUICK!!
Answer:
slope= m=-30 hope that helps
please answer as soon as possible
Answer:
x>5
Step-by-step explanation:
hope this helps you!
If r is directly proportional to s and r 8 when s 3 find s when r 11
Answer:
s = 33/8 or 4 1/8
Step-by-step explanation:
find 'k', constant of proportionality first:
8 = 3k
k = 8/3
11 = 8/3s
s = 11/1 ÷ 8/3
s = 11/1 x 3/8
s = 33/8 or 4 1/8
15 cm
15 cm
10 cm
10 cm
1
10 cm
1
8.66cm
1
The surface area of the three-dimensional figure is
square centimeters.
Picture is quite a bit more helpful
Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²
What is m X to the nearest degree?
Help plssss
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then
∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A