Answers
Answer:
14130 yd³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3}[/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(30 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {15}^{3} [/tex]
[tex] = \frac{42390}{3} [/tex]
= 14130 yd³
Related Questions
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
Answers
Find the probability of the event that get an even number or multiple of 4, that is 4n, with given sample space S.
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
P(even# U 4n) = ?
Answers
Answer:
4, 8, 12 2, 6, 10, 14
7/15 chance of getting even of multiple of 4
A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70
per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of
each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answers
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
An inclined walkway leading to a new building is to rise 11 inches for each horizontal distance of 22 feet. Write this slope as a grade. (Round to the nearest tenth of a percent if necessary.)
Answers
Answer:
4.2%
Step-by-step explanation:
The horizontal distance, x (Run) = 22 feets
Rise, vertical distance, y = 11 inches
The slope is the ratio of the vertical to the horizontal distance, Rise to Run
Slope = Rise / Run
Converting to the same unit ;
Foot to inches
1 foot = 12 inches
Hence, x = 22 feets = (12 * 22) = 264 inches
Slope = Rise / Run = 11 / 264 = 0.04167
Slope = 0.04167 * 100% = 4.167%
the ratio of pigs to cows at the farm is 16:2. If the total number of animals is 72. How many pigs are there?
Answers
Answer:
There are 64 pigs
Step-by-step explanation:
pigs: cows: total
16 2 16+2
16 2 18
There are 72 animals
72 /18 = 4
Multiply each number by 4
pigs: cows: total
16*4 2*4 18*4
64 8 72
There are 64 pigs
In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?
Answers
Answer: 10 out of 28 chancd
Step-by-step explanation:
Answer:
4/28
Step-by-step explanation:
trust me
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?
Answers
Answer:
We Do not have enough evidence
Step-by-step explanation:
H0 : σ² ≤ 1.1
H0 : σ² > 1.1
The test statistic (X²) :
χ² = [(n - 1) × s²] ÷ σ²
n = sample size, = 20
s² = 1.6
σ² = 1.1
α = 0.01
χ² = (19 * 1.6) / 1.1
χ² = 27.64
Pvalue :
Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19
Pvalue = 0.091
If Pvalue < α ; Reject H0
0.091 > 0.01
Hence, Pvalue > α ; Thus we fail to reject H0.
We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answers
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
solve 3y+1/2x-w=0 for y
Answers
9514 1404 393
Answer:
y = 1/3w -1/6x
Step-by-step explanation:
Subtract the terms not containing y, then divide by the coefficient of y.
[tex]3y+\dfrac{1}{2}x-w=0\\\\3y=w-\dfrac{1}{2}x\qquad\text{subtract non-$y$ terms}\\\\\boxed{y=\dfrac{1}{3}w-\dfrac{1}{6}x}\qquad\text{multiply by $\dfrac{1}{3}$}[/tex]
PLEASE HELP !!!!!!!Find
y, such that ABC ~A
DEF.
Answers
Use proportionals to find y.
[tex] \frac{9}{18} = \frac{6}{y} [/tex]
Answer:y=12
can you please help me with the question below
Answers
Explain how this diagram shows
That 6(3 + 4) = 6(3) + 6(4)
Answers
Answer:
[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]6(3 + 4) = 6(3) + 6(4) \\ 6(7) = 6(3) + 6(4) \\ 6 \times 7 = 6 \times 3 + 6 \times 4 \\ 42 = 18 + 24 \\ 42 = 42[/tex]
→ LHS = RHS
•°• Hence proved.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
The difference between two numbers is 3. What is the larger number if the smaller number is -4? *
Answers
Answer:-1
Step-by-step explanation:
Subtract plus 3
Answer:
-1
Step-by-step explanation:
x-y=3
x—Larger number
y—smaller number
x-(-4)=3
x+4=3
x=–1
Factorise :
3x² -5x + 6
Answers
Answer:
The expression is not factorable with rational numbers.
Step-by-step explanation:
Select THREE equivalent expressions that show how you could factor 16x-48
2(8x-24)
4(4x-12)
2(8x-48)
16(X-3)
X(16+3)
Answers
4(4x-12)
16(x-3)
Please Help! (picture)
Answers
Step-by-step explanation:
f(g(x))
f(x-1)
(x-1)^2
x^2 -2x + 1
∛≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅[tex]\geq \neq \neq \neq \neq \neq[/tex]
Answers
Sorry, I won't understand
Please Help me solve these problems.
Answers
What angle is vertical to angle 2?
Answers
Answer:
Answer: a = 140°, b = 40° and c = 140°
Step-by-step explanation:
Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.
Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)
Answers
Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?
Answers
Answer:
20 adults
100 Children
Step-by-step explanation:
Answer: 20 adults and 100 children
Step-by-step explanation:
a = adults, c = children
120 = a + c
c = 5a
120 = a + 5a
120 = 6a
20 = a
20 times 5 is 100 so 100 children
Por favor ayúdeme es para hoy :(
Answers
Find the area of this circle. Use 3 for .
A = ar2
8 in
[?] in?
please help
Answers
Answer:
Step-by-step explanation:
The Letter pi (π) = 3.14
The radius (r) = the diameter / 2
The diameter = 8
the radius (r)= d/2 = 8/2 = 4
The Area = 3.14 * 4*4
But they tell you to use 3 and not 3.14.
So the area = 3 * 4 * 4
The area = 48
By the way, if you are interested, the Bible uses 3 for π and not 3.14
HELP HOW DO I GET MORE THAN ONE PICTURE WHEN I ASK A QUESTION ♀️♀️
Answers
Answer:
Press browse files after the 1st one
Step-by-step explanation:
That just look at circle
GIVING BRAINLIEST
Explain your reasoning.
3(n + 2) = 9(6 - n)
Answers
Answer: n = 4
Step-by-step explanation:
Divide both sides by 3
n+2=3(6−n)
Expand
n+2=18−3n
Subtract 2 from both sides
n=18−3n−2
Simplify 18−3n−2 to −3n+16.
n=−3n+16
Add 3n to both sides
n+3n=16
Simplify n+3n to 4n
4n=16
Divide both sides by 4
n= 4/16
Simplify 16/4 to4
n=4
Which expression is equivalent to the following complex fraction?
CO (
이고
X X
2
X-
2x
글
2x-2
X
12x
x-1
44 minutes left please help !!!!!!
Answers
Answer:
[tex] \frac{x - 1}{2x} [/tex]
Step-by-step explanation:
This is a correct answer.
Jackson's puppy gains 104 pounds in 52 weeks. At that rate, how many pounds would his puppy gain in 40 weeks?
Answers
Answer:
80
Step-by-step explanation:
104:52 = 2:1 = 2 pounds per (1) week
40 × 2 = 80
The multiplicative inverse of -2¹/₇ is
Answers
The multiplicative inverse of a number is the reciprocal of that number. Since
-2 1/7 *(-7/15)= 1, then -7/15 is the multiplicative inverse of -2 1/7.
According to a report in USA Today (February 1, 2012), more and more parents are helping their young adult children get homes. Suppose 8 persons in a random sample of 40 young adults who recently purchased a home in Kentucky got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. What is the margin of error for a 95% confidence interval for the population proportion?
a.1.645(0.0040)
b.1.645(0.0632)
c.1.96(0.0040)
d.1.96(0.0632)
Answers
Answer:
d.1.96(0.0632)
Step-by-step explanation:
The margin of error for a 95% confidence interval for the population proportion calculated as below:
Given that x = 8
n = Size of the sample = 40 (Large sample)
Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8
Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682
95% of confidence Z∝ = 1.96
Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]
Margin of Error = 1.96(0.0682)
So, therefore, option d is correct.
One positive number is 9 more than twice another. If their product is 731, find the numbers.
Answers
Answer:
361
Step-by-step explanation: