If the volume and height of the cylinder are 48.2304 cubic m and 6.4. Then the radius of the cylinder will be 1.55 m.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The volume of the cylinder is 48.2304 cubic m.
And the height of the cylinder is 6.4 m.
Then the radius of the cylinder will be
The volume of the cylinder is given as
Volume = πr²h
48.2304 = π × r² × 6.4
r² = 2.3988
r = 1.5488
r ≅ 1.55 m
More about the cylinder link is given below.
https://brainly.com/question/3692256
#SPJ1
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.01
.
H
o
:
μ
=
61.5
H
a
:
μ
<
61.5
You believe the population is normally distributed and you know the standard deviation is
σ
=
17.6
. You obtain a sample mean of
M
=
59.1
for a sample of size
n
=
34
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the z-distribution, it is found that the desired measures are given as follows:
The test statistic is z = -0.795.The p-value is of 0.2133.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 61.5, that is:
[tex]H_0: \mu = 61.5[/tex]
At the alternative hypotheses, it is tested if the mean is less than 61.5, that is:
[tex]H_1: \mu < 61.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[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 values of the parameters are given as follows:
[tex]\overline{x} = 59.1, \mu = 61.5, \sigma = 17.6, n = 34[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.1 - 61.5}{\frac{17.6}{\sqrt{34}}}[/tex]
z = -0.795.
What is the p-value?We have a left-tailed test, as we are testing if the mean is less than a value, with z = -0.795. Hence, using a z-distribution calculator, the p-value is of 0.2133.
More can be learned about the z-distribution at https://brainly.com/question/16162795
#SPJ1
The product of two whole numbers is 832 and their sum is 58. What are the two numbers?
Answer:
33 and 25
33 + 25 = 58
33 x 25 = 825
A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5
Answer:
4/6
Step-by-step explanation:
each number on the cube has a 1/6 Probability of getting chosen, so since we want the Probability of not choosing these 2 numbers there's 4 numbers out of six that we could get, making it 4/6
Answer: The probability would be 2/4 because there is a chance that a 2 or 5 can be rolled and there is only one two and five and 4 other numbers.
Step-by-step explanation:
(4, 2) reflected over y axis
Amanda works at a store that pays her 7% commission on the total amount of clothes she sells. Last week, she sold $1600.00 worth of clothes. What is the amount of commission Amanda earned last week?
$112
$22.86
$11.2
$228.57
Find the distance between the points (4,-2), (4,-5)
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3[/tex]
(2 + 3i) + (3 – 4i)
(3 – 5i) – (–2 – i)
(2 − 4i)(1+ 3i)
2i(−1+ 3i)
Answer:
See below ~
Step-by-step explanation:
Question 1
(2 + 3i) + (3 - 4i)5 - iQuestion 2
(3 – 5i) – (–2 – i)3 - 5i + 2 + i5 - 4iQuestion 3
(2 − 4i)(1+ 3i)2 - 4i + 6i - 12i²14 + 2iQuestion 4
2i(-1 + 3i)-2i + 6i²-6 - 2iwhat will 7dozen of pencil cost at 1k per dozen
Answer: $7000
Step-by-step explanation:
7 * 1000 = $7000
You want to know the opinions of homo-schooled students across America on whether they prefer to loarn at home versus at a public school with other students. You obtain a list of all home-schooled students and mail a survey to a random sample of 7,500 students. Of those, 4,195 responded and 39% say they prefer to learn at home. Which of the
following statements is true?
The results of this survey may be affected by nonresponse blas.
The results of this survey cannot be trusted because of convenience response bias.
O Bocauso random sampling is used, wo can fool confident that the porcont of all homo-schooled students who say they favor learning at home is close to 39%.
O Because more than half of those who were mailed the survey actually responded, va can feel fairly confident that the actual percentage of all home-schooled
students who prefer to learn at homo is close to 39%.
In this survey, the results can be trusted because more than half of the people responded which makes this sample to be representative.
What is nonresponse bias?This occurs when most of the people who were intended to be surveyed do not respond, which causes the results to be biased as the sample does not represent the population.
Can the results of this survey be trusted?Considering more than 50% answer it is likely the results can be trusted as the sample is still representative.
Learn more about sample in: https://brainly.com/question/11045407
#SPJ1
What's solid figure could be formed from the net shown 15 cm 9 cm
Answer:
triangular pyramid
..................
find the mean and median of 1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Answer:
Mean - 3.3793103448276
Median - 3
Step-by-step explanation:
Define:
Mean ⇒ Average
Median ⇒ Middle Number
Solve:
Mean ( Adding all number then divide by total number in data set)
1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94
94/29 = 3.3793103448276
Mean - 3.3793103448276
Median ( Find Middle Number)
1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Kavinsky
What is the perimeter of the triangle?
A. 18.3 units
B 9 units
C 15.5 units
D 18.2 units
Answer:
answer is B, 9 units
Step-by-step explanation:
Answer:
C) 15.5 units
Step-by-step explanation:
-7a - a=
Explain please
Step-by-step explanation:
-7a - a
Take common -a from that equation
-a(7+1)
= -8a
Easy peasy
Answer:
- 8a
Step-by-step explanation:
- 7a - a
= - 7a + (- a)
= - 8a
____
Hope it helps ⚜
Ben's family went to NYC for their vacation. At the gift shop on Liberty Island, Steven bought three t-shirts
and two keychains for $120, and Jennifer bought five t-shirts and four key chains for $212. Find the price of
each item
Each t-shirt is $28 and each keychain is $18
Each t-shirt is $17 and each keychain is $31
Each t-shirt is $31 and each keychain is $17
Each t-shirt is $18 and each keychain is $28
Answer:
Step-by-step explanation:
Elizabeth's family went to NYC for their vacation. At the gift shop on Liberty Island, Scott bought four t-shirts and five keychains for $291, and Michelle bought seven t-shirts and six key chains for $424. Find the price of each item. Each t-shirt is $31 and each keychain is $34 Each t-shirt is $37 and each keychain is $30 Each t-shirt is $30 and each keychain is $37 Each t-shirt is $34 and each keychain is $31 > Next Question
Previous question
(y−2)=3(x−1) whats the slope
Answer:
the slope is 3
Are you able to help me: Simplify (4x + 2)3
Answer:
64x^3 + 996x^2 + 48x + 8
Step-by-step explanation:
Answer:
12x+6
Step-by-step explanation:
[tex](4x+2)3[/tex]
Use the distributive property to multiply (4x+2) by 3:-
[tex]12x+6[/tex]
Look at the number line below what value does point X show
Answer:
let xtake the part to be 1.2
Complete number pattern 88,79, _,_, 52,43,34
A jewelry designer is making identical bracelets. She has
21 blue beads and 14 red beads. What is the greatest number of bracelets she can make using all of the beads?
Answer
great common factor of 14 and 21 is 15. so your answer is 15
A bag of plugs contains 500 pieces. Each piece is $0.03. There is a 10% discount if the customer orders 10 bags or more. How much is a customer paying for 7,000 pieces?
Answer:
They would be paying $189
The amount of money that the customer paying for 7,000 pieces is $189.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
Number of bags for 7000 pieces = 7000/500 = 14
Cost for 7000 pieces = $0.03 * 7000 = $210
Discount = 210 - (0.1 * 210) = $189
The amount of money that the customer paying for 7,000 pieces is $189.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
A storage container is shaped like a rectangular prism. The volume of a container is 48 cubic ft. The area of the base of the containers 12 feet. What is the height of the container in feet?
A. 12=48h
B. V = (12)(48)
C. (12)(48) = h
D. 48 = 12h
please please help will give brainlist
What is the volume of the prism?
it has to be simplest mixed number form
Step-by-step explanation:
[tex]13 \frac{1}{8} [/tex]
is the required answer
A certain rectangular prism has a height of 4 m, a length of 6 m, and a width of 8 m. Give the dimensions of a second rectangular prism that will have the same surface area of the first one.
Step-by-step explanation:
in its basic structure such a prism is like a cube (just rectangular and not squared) : 6 sides (rectangles).
2 rectangles top and bottom 6×8 = 48 m²
48 × 2 = 96 m²
2 rectangles front and back 6×4 = 24 m²
24 × 2 = 48 m²
2 rectangles left and right 8×4 = 32 m²
32 × 2 = 64 m²
the total surface area is
96 + 48 + 64 = 208 m²
it is hard to find other integer dimensions for the same surface area.
but as long as we are not restricted to integer numbers :
let's cut e.g. the height in half.
and we get
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
that "nails" already 2 dimensions (width and height).
we need to set now the third dimension (length) to create the same surface area :
length×8×2 + length×2×2 = 208 - 32 = 176
20×length = 176
length = 8.8 m
so, with
length = 8.8 m
width = 8 m
height = 2 m
we still get
2 rectangles top and bottom 8.8×8 = 70.4 m²
70.4 × 2 = 140.8 m²
2 rectangles front and back 8.8×2 = 17.6 m²
17.6 × 2 = 35.2 m²
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
as total surface area
140.8 + 35.2 + 32 = 208 m²
Solve for x in 2•8 X 867•5x
Step-by-step explanation:
867.5x ×2.8
is is equal to 2429x
DIGANME YA LES PREGUNTE ALGO
Answer:
yee yee I'm a rodeo cowboy and I don't know what you mean brother
25
Find the value of
20
Answer:
[tex]\sqrt{20}[/tex] or 4.472
Step-by-step explanation:
Value of 20
a rectangle measures 1 1/4 by 2 3/4 inches what is the area
let's firstly convert the mixed fractions to improper fractions, and then get their product.
[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\cdot \cfrac{11}{4}\implies \cfrac{(5)(11)}{(4)(4)}\implies \cfrac{55}{16}\implies 3\frac{7}{16}[/tex]
The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?
Check the picture below.
so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]
Please i need your help for number 6
Conversion:
1 feet = 12 inch
Explanation:
a) 19 inch = 12 inch and 7 inch = 1 feet and 7 inch
b) 38 inch = 36 inch and 2 inch = 3 feet and 2 inch
In circle O below, segment RA is a diameter, arc RP = 104 degrees, and arc RQ = 70 degrees. Find the
measure of the indicated angle
m<=5
Answer:
76°
Step-by-step explanation:
Arc RP = 104
Major arc RPA = 180 (half a circle)
180-104 = 76
Arc AP = 76, so Angle 5 = 76
Central Angles and their arcs are equal
Answer:
76°
Step-by-step explanation:
Finding m∠4 :
The angle is equal to arc RP∠4 = ° 104Finding m∠5 :
∠4 + ∠5 = 180° (property of linear angles)∠5 = 180° - 104°∠5 = 76°