Answer:
V/3r²
Step-by-step explanation:
We are to make h the subject of the formula as shown;
V = 3r²h
Divide both sides by 3r²
V/3r² = 3r²h/3r²
V/3r² = h
Rearrange
h = V/3r²
Hence the formula to calculate the height h is V/3r²
Answer:
h = V/3r²
Step-by-step explanation:
just did the test
I need help with this problem !
Answer:
15, inches, 7, inches
Step-by-step explanation:
44=2(8+l)+2l
44=16+4l
28=4l
7=l
l=7
w=8+7
w=15
At a local electronic store there is a 60.1% probability that an in
stock computer is a laptop. There also exists a 25.3% probability
that a randomly chosen in-stock computer at this electronics store
has an NVIDIA GTX graphics card chipset. The likelihood that a
randomly selected computer in this store is a laptop with an NVIDIA
GTX graphics card chipset is 11.95%. If you randomly choose a
laptop computer, what is the probability that this computer will be
equipped with an NVIDIA GTX graphics card chipset?
Answer:
17
Step-by-step explanation:
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 75 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
Answer:
86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
In this question:
Population: [tex]\mu = 75, \sigma = 5[/tex]
Sample of 85: [tex]n = 85, s = \frac{5}{\sqrt{85}} = 0.5423[/tex]
If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
This is 1 subtracted by the pvalue of Z when X = 74.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{74.4 - 75}{0.5423}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
Round 2.321 to the nearest whole number.
Answer:
The answer would be 2
Step-by-step explanation:
can anyone help me with this?0
Answer:
C) (y - 1)(y - 5)
Step-by-step explanation:
Hi there!
First you separate your expression into groups.
[tex](y^2-5y)(-1y+5)[/tex]
Now we take the common multiple out of each.
[tex]y(y - 5)-1(y - 5)[/tex]
Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.
After we do that, we are left with y - 1. (we got this from taking the common multiples out)
Now we are just left with (y - 5)(y - 1)
Hope this helped!
Elijah is planning a circular flower garden with a 12-foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)
Answer:
37.7 ft
Step-by-step explanation:
c=πd (circumference= 3.14*diameter)
c=3.14*12
c=37.68 ft
rounded to tenths place-37.7 ft
Which expression represents the absolute value of - 10
Answer:
|-10|=10
Step-by-step explanation:
Absolute value is 10
It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
A: How long does it take him to cover the 1rst hallway? The second one? The third one?
B: Does Damian make it to class on time? By how much is he late or early?
Answer:
He will not make it to class. He will be 3 seconds late!
Step-by-step explanation:
helppppp please what is it
Answer: 125 yards?
Step-by-step explanation:
Answer:
125 yards
Step-by-step explanation:
triangles are similar so let's see the ratio
112/140= 4/5
100÷ 4/5 =125 yards
(CO 1) In a normally distributed data set of how long customers stay in your store, the mean is 31.7 minutes and the standard deviation is 1.9 minutes. Within what range would you expect 95% of your customers to stay in your store
Answer:
The range is between 27.9 minutes and 35.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 31.7 minutes
Standard deviation = 1.9 minutes.
Within what range would you expect 95% of your customers to stay in your store
Within 2 standard deviations of the mean.
Lower bound: 31.7 - 2*1.9 = 27.9 minutes
Upper bound: 31.7 + 2*1.9 = 35.5 minutes
The range is between 27.9 minutes and 35.5 minutes.
1 point
A $300 suit is marked down by 20%. Find the sale price rounded to the
nearest dollar. *
$6,000
$240
$600
$360
You might need:
Calculator, Z table
Yuki and Zana are on a swimming team. They often compete against each other in the 100 meter freestyle
race. Yuki's times in this race are normally distributed with a mean of 80 seconds and a standard deviation
of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard
deviation of 5.6 seconds. We can assume that their times are independent.
Suppose we choose a random 100 meter freestyle race and calculate the difference between their times.
Find the probability that Yuki's time is faster than Zana's.
You may round your answer to two decimal places.
P (Yuki faster)
Answer:
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
Step-by-step explanation:
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.
Find the probability that Yuki's time is faster than Zana's.
That is, the subtraction of Yuki's time by Zana's time has to be higher than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 80 - 85 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{4.2^2+5.6^2} = 7[/tex]
We have to find 1 subtracted by the pvlaue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7}[/tex]
[tex]Z = 0.71[/tex]
[tex]Z = 0.71[/tex] has a pvalue of 0.7611
1 - 0.7611 = 0.2389
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
In this exercise we have to use knowledge about probability to calculate the probability of faster time, so we have to:
probability that Yuki's time is faster than Zana's.
When the distribution is normal, we use the z-score formula. In a set with mean and standard deviation , 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.
Find the probability that Yuki's time is faster than Zana's. That is, the subtraction of Yuki's time by Zana's time has to be higher than 0. When we subtract normal distributions, the mean is the subtraction of the means. So:
[tex]\mu= 80-85=-5[/tex]
The standard deviation is the square root of the sum of the variances. So:
[tex]\sigma= \sqrt{(4.2)^2+(5.6)^2} = 7[/tex]
We have to find 1 subtracted by the p-value of Z when X = 0. So:
[tex]Z= \frac{X-\mu}{\sigma}\\Z= \frac{0-(-5)}{7}\\Z= 0.71[/tex]
Has a p-value of 0.7611:
[tex]1 - 0.7611 = 0.2389[/tex]
See more about probability at brainly.com/question/795909
Please help 15 point
Answer:
x = √2
Step-by-step explanation:
Since this is a 30° 60° 90°, the hypotenuse is 2 times greater than the small leg. We can use this information to make an equation and solve for x.
2x = √8
x = √2
Therefore, x = √2.
A train leaves at 0711 and arrives at 0945. It travelled at an average speed of 110 km/h.
How far did it travel? Give your answer in km to 1DP?
Answer:
282.3
Step-by-step explanation:
Answer:
282.3
Step-by-step explanation:
How many solutions does the system have?
You can use the interactive graph below to find the answer.
y=3x+3
y=-2x+3
(Choice A)
A
Exactly one solution
(Choice B,)
B
No solutions
(Choice C)
C
Infinitely many solutions
Answer:
its A exactly one soulution
Step-by-step explanation:
What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697
Answer:
22
Step-by-step explanation:
because it just is
Type an equation for the following pattern. Enter the fraction in simplest form
Answer:
y=½x+0
Step-by-step explanation:
∆y/∆x
=1-½/2-1=½
the first part of the rule is ½x
Plug in x=3
½×3=3/2
when x=5
½×5=4/2
Therefore the rule is y=½x+0
julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
Answer:
-10
Step-by-step explanation:
Answer:
309
Step-by-step explanation:
-42 x -7 = 294 + 15 = 309
Use the graph of the scatter plot to answer the question.
Based on the graph, what would be the slope for the line of best fit of the scatter plot?
A. 0
B. 1/2
C. 1
D. 1 1/2
E. 2
Answer:i think 0
Step-by-step explanation:
Answer:
its 0 I got it right on my question yesterday
paper costs $ 40 for 10 teams how much for 1 ream?
Answer:
$4
Step-by-step explanation:
40/10 = 4
WILL MARK BRAINLYIST
A.AAA know this becouse i took the test
A rectangle has a width measuring 6 units and a length measuring x + 4 units. Write and solve an inequality to find the value of x so that the area of the rectangle is more than 36 square units. Justify your answer.
Answer:
its easy the anser is x=40
Step-by-step explanation:
you just add the numbers
3 PART QUESTION!
I am giving 50 points for this question. But please explain this question and how to solve it, thank you!
Answer:
See below
Step-by-step explanation:
Given relationship:
d = rta) r = 3, d = 4
t = d/r = 4/3 h = 1 h 20 minb) d = 4 miles, rate = r
t = 4/r, domain is r and must be greater than zeroc) d = 4 miles, time = t
r = d/t = 4/t, domain is t and it must be greater than zerod) t = 3 h, rate = r
d = rt = 3r, domain is r and can be anything greater than zeroHELP will give brainliest if you give right answer
Simplify each expression -21v^6/-6v^8, v=0
Answer:
The correct answer is,
[tex] - \frac{7v {14}^{} }{2} [/tex]
Answer:
the answer is b 7/2v^2
i got it right on ed
Please help
Sorry I need 20 characters to submit this question that’s why I’m adding more words please help
Answer:
C
Step-by-step explanation:
i think its c because 4 times -7 is negative 28, which means that the other answers are wrong. please give me brainliest!!<3
In a game show, contestants gain or lose points by answering questions. Jacob began with 27 points, then he lost 53 points and gained 15 points. What was his final score?
Answer:
His final score was -11 points
Step-by-step explanation:
27 - 53 = -26
-26 + 15 = -11
Help me please I dont know this
Answer:
QS and PR. They are going in a strait line following the same path but they will never touch. :)
Answer: PQ and QR
Step-by-step explanation:
Well if you flip PQ over to it's side you will see that they are lining up
solve the quadratic by completing the square:
a^2=12a-32
Answer:
a=8,4
Step-by-step explanation:
just solved it
Admission to a museum is $7.10 per
adult and $4.80 per child. The expression
7.1a 1 4.8c represents the total cost in
dollars for admission for a adults and
c children.
If 6 adults and 6 children attend the
museum, what is the total cost?
The total cost of admission for 6 adults and 6 children to the museum is $71.4.
What is the total cost?Total cost refers to the sum of all costs incurred in producing a product, delivering a service, or achieving a particular outcome. It encompasses all the expenses, both direct and indirect, that are associated with a specific activity, project, or process.
According to the given information:
To calculate the total cost of admission for 6 adults and 6 children to the museum, we can substitute the values of "a" and "c" into the given expression "7.1a + 4.8c" and perform the calculations.
Given:
Number of adults (a) = 6
Number of children (c) = 6
Admission cost per adult = $7.10
Admission cost per child = $4.80
Substituting the values into the expression:
7.1a + 4.8c = 7.1 * 6 + 4.8 * 6
Now, we can perform the calculations:
7.1 * 6 = 42.6
4.8 * 6 = 28.8
Adding the results together:
42.6 + 28.8 = 71.4
So, the total cost of admission for 6 adults and 6 children to the museum is $71.4.
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