Answer:
The radius of this sphere is [tex]3[/tex].
Step-by-step explanation:
The volume of a sphere of radius [tex]r[/tex] is:
[tex]\displaystyle V = \frac{4}{3}\, \pi\, r^{3}[/tex].
The surface area of a sphere of radius [tex]r[/tex] is:
[tex]A = \pi\, (2\, r)^{2}[/tex].
Equate the right-hand side of these two expressions and solve for [tex]r[/tex]:
[tex]r = 3[/tex].
In other words, the radius of this sphere is [tex]3[/tex].
Find the y-intercept of the line: -4x - 2y = 16
(-4,0)
(4,0)
(0,8)
(0.-8)
The sum of the square root of a number and six
Answer:
√9
Step-by-step explanation:
√9 because 3×3 =9
and the sum of the number 3+3=6
3 is the number
is it just me or the adds not working to get a free answer ?
What is the median?
11, 4, 2 7, 15
Answer:
7
Step-by-step explanation:
If you put it in order it's seen as:
2,4,7,11,15
7 is in the middle.
In a large local high school, 19% of freshmen have had their wisdom teeth removed and 24% of seniors have had their wisdom teeth removed. Suppose that a random sample of 60 freshmen and 50 seniors is selected. Let F = the proportion of freshmen who have had their wisdom teeth removed and S = the proportion of seniors who have had their wisdom teeth removed. What is the probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors?
Find the z-table here.
Answer:
0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.
Step-by-step explanation:
To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction of normal variables:
When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.
In a large local high school, 19% of freshmen have had their wisdom teeth removed. Sample of 60 freshmen:
So, by the central limit theorem:
[tex]\mu_f = 0.19, s_f = \sqrt{\frac{0.19*0.81}{60}} = 0.0506[/tex]
24% of seniors have had their wisdom teeth removed. Sample of 50 seniors.
So, by the central limit theorem:
[tex]\mu_s = 0.24, s_s = \sqrt{\frac{0.24*0.76}{50}} = 0.0604[/tex]
What is the probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors?
This is the probability that the subtraction of the proportion of freshmen by the proportion of seniors is larger than 0. For this distribution, we have that:
[tex]\mu = \mu_f - \mu_s = 0.19 - 0.24 = -0.05[/tex]
[tex]s = \sqrt{s_f^2 + s_s^2} = \sqrt{0.0506^2 + 0.0604^2} = 0.0788[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 - (-0.05)}{0.0788}[/tex]
[tex]Z = 0.63[/tex]
[tex]Z = 0.63[/tex] has a pvalue of 0.7357
1 - 0.7357 = 0.2643
0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.
Answer
I got 0.263 and was correct.
Step-by-step explanation:
Edge 2022
this one is so confusing.
Answer:
x=12
Step-by-step explanation:
25 x 4 = 6x + 28
100 = 6x + 28
subtract 28 from each side
72 = 6x
divide each side by 6
12 = x
x = 12
simplify 5x + 5 - 4x.
Answer:
[tex]x + 5[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](5x - 4x) + 5[/tex]
2. Simplify.
[tex]x + 5[/tex]
therefor, the answer is, X + 5
In 1994, the moose population in a park was measured to be 4600. By 1997, the population was measured again to be 4300. The population continues to change linearly.
Find the equation for the moose population, P, in terms of T years since 1990.
P(t)= ___________
What does your model predict the moose population to be in 2008?
____________________
Answer:
[tex]p = -100t + 5000[/tex]
The model predicts 3200 moose in 2008
Step-by-step explanation:
Given
In 1990, year (i.e p) would be 0
So:
In 1994:
[tex](t_1,p_1) = (4,4600)[/tex]
In 1997 (3 years later):
[tex](t_2,p_2) = (7,4300)[/tex]
To get the equation, we first solve for the slope (m)
[tex]m = \frac{p_2 - p_1}{t_2 - t_1}[/tex]
Substitute values for the p's and t's
[tex]m = \frac{4300 - 4600}{7 - 4}[/tex]
[tex]m = \frac{-300}{3}[/tex]
[tex]m = -100[/tex]
The equation is then calculated using:
[tex]p - p_1 = m(t - t_1)[/tex]
Substitute values for p1, m and t1
[tex]p - 4600 = -100(t - 4)[/tex]
Open bracket
[tex]p - 4600 = -100t + 400[/tex]
Make p the subject
[tex]p = -100t + 400+4600[/tex]
[tex]p = -100t + 5000[/tex]
In 2008:
The value of t would be 18 (i.e. 2008 - 1990)
Substitute 18 for t in [tex]p = -100t + 5000[/tex]
[tex]p = -100* 18 + 5000[/tex]
[tex]p = -1800 + 5000[/tex]
[tex]p = 3200[/tex]
The model predicts 3200 moose in 2008
A carton has a length of 2, reet, whath of 3 reet, and height of 5 feet. What is the volume of the
carton?
Answer: The correct answer is fraction 3 and 3 over 5 cubic feet
Step-by-step explanation:
State whether the relationship between x and y in y = 0.5x is proportional or non-proportional. Then graph the function.
Step-by-step explanation:
A relationahip is proportional if both variables can be both 0.
y = 0.5x
(0) = 0.5(0)
Since the equality is true, it is proportional.
To graph the function, plot (0, 0) and (10, 5) on the graph and draw a line through the points.
answer this question plzzzzzzz
c) If f(x)=(2x + k) and ff(4)= 10, find the value of k.
Answer:
2
Step-by-step explanation:
k + 2*4 = 10
and simplify..
|3 - 7|..................................hi
Answer:
Hi and the answer to your question is -4
Step-by-step explanation:
Where did Jordan make her mistake? GIVING BRAINLIEST!
Answer:
Jordan made mistake in his first step while multiplying.
Step-by-step explanation:
Given expression of Jordan's work is
14(8+4x) = 6x-(5-11x)
In the first step, Jordan multiplied the numbers to remove the braces.
He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.
Hence,
Jordan made mistake in his first step while multiplying.
The ratio of cats to dogs at the shelter
is 3 to 2. If there are 15 cats at the
shelter, how many dogs are there?
What is 99 inches divided by 6
s+q+5, when s = 3 and q = 3
help me
Answer:
11
Step-by-step explanation:
3+3+5
3+3
=6
6+5
=11
hope this was helpful! <3
Answer:
11
Step-by-step explanation:
3+3+5=11
What is the magnitude of the vector shown?
Answer:
The answer is sqrt 13
Step-by-step explanation:
What shape is this cross-section?
Answer:
A cross section is the shape we get when cutting straight through an object.
Step-by-step explanation:
the cross section of this object is a triangle.
Answer:
C- Rectangle
Step-by-step explanation:
Just took the quiz.
HELPPPP
you have $120 in your bank account and work at Wendy’s for $9 per hour. How
many hours must you work to save up for a new phone that cost $435?
Answer:
I have made it in above pic ans is. 35 hours
Answer:
35 hours?
Step-by-step explanation:
What is the measure of the hypotenuse of a right triangle if the legs measure 6in and 8 in
in stands inches
Answer:
10 in
Step-by-step explanation:
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = c
10 = c
If a recipe for 24 cookies needs 2 cups of flour, how many cups would we need to make 42 cookies?
Answer:
3 1/2 cups
Step-by-step explanation:
24=2
42=x
24x=84
/24 /24
3.5
suppose a coin is tossed 3 times. we count the total number of heads and call that the outcome. how many possible outcomes are there?
Set up a system of equations and then use your calculator to solve: In triangle ABC, the sum of angles and c is equal to three times angle B. Angle C is 10 degrees more than twice angle B. Find the measure of each angle.(Hint: The angles of a triangle add up to 180 degrees.)
Answer:
Step-by-step explanation:
angle A = 40
angle B = 60
angle C = we don't know.
A + B + C = 180
C = 180 - A - B
C = 180 - 40 - 60
C = 80
40 + 60 + 80 = 180
180 = 180...It checks!
Find x:
4 x 6^2 + 9 = x
The first two terms of a sequence are given. Use these terms to answer the following questions.
2,8, ....
.a Write the next three terms of this sequence if the sequence is arithmetic. ( Answer using a complete sentence)
B. Write the next three terms of this sequence if the sequence is geometric. (Answer using a complete sentence)
Explain or show how you found your answer.
Answer:
a. The next three terms for if it is an arithmetic sequence are 14, 20, and 26.
b. The next three terms for if it is a geometric sequence are 32, 128, and 512.
Step-by-step explanation:
The difference between the numbers using arithmetic functions is adding 6.
The difference between the numbers using geometric functions is multiplying by four.
Then apply those functions to find the following numbers in the sequence.
Plllllwaaaaasseeee hellollll
Suppose you are given two quadrilaterals, ABCD EFGH. If the similarity ratio of ABCD to EFGH is 4:3, and it EH =
60, find AD
a. 45
0.90
b. 40
d. 80
Please select the best answer from the choices provided
B
Look at image^^^
Answer:
d. 80
Step-by-step explanation:
Similarity ratio of ABCD to EFGH = 4:3.
This implies that the ratio of AD to EH = 4:3
If EH = 60, then:
AD:60 = 4:3
AD/60 = 4/3
Multiply both sides by 60
AD = ⁴/3 × 60
AD = 80
Need help ASAP I’m about to go to sleep
Answer:
A. $1852.50
Step-by-step explanation:
Principal amount= P= $3, 900
Rate= r = 19% = 0.19
Time (in years) = t = 2.5
Amount after 2.5 years (A)
[tex]A = P(1+r t )[/tex]
[tex]A = 3900 (1+ (0.19) 2.5)[/tex]
[tex]A = 5,752.5[/tex]
Total interest in 2.5 years = A-P = 5752.5 - 3900 = 1852.50
The smaller triange was dilated to form the larger triangle. What is the value of x?
9
10
1
14
15
Answer:
x = 14
Step-by-step explanation:
As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9
This represents that it is dilated by 3 factor
So
= 3 × 3
= 9
Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor
So the new side is 15
Also the largest triangle is x + 1
So,
15 = x + 1
x = 14
Are they equal true or false and explain why it’s true or why it’s false
Answer:
true
Step-by-step explanation:
Yes it is true as
[tex] - b = + ( - b) = + - b[/tex]
Hope it helps Also Do you like Dream , George like all people in the Dream Smp?
