At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students all together, did he make a reasonable inference?
No, Mr. Yule’s sample is biased and too small to be representative of the population.
Yes, Mr. Yule’s sample is small and biased, so it is representative of the population.
No, Mr. Yule’s percentage is too large. He should have used 6%.
Yes, Mr. Yule’s sample is random and representative of the population.

Answer:

616 cm²

Step-by-step explanation:

small cube (4 sides) = 8 x 3 x 4 = 96

large cube (4 sides) = 7 x 10 x 4 = 280

top and bottom of large cube = 12 x 10 x 2 = 240

(we would deduct the 3 x 3 area from  the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)

total surface area = 96 + 280 + 240 = 616 cm²

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

Answer:

The sine function is:

[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]

Step-by-step explanation:

We need to recall that a sine function can write as:

[tex]y(x)=Asin[B(x+C)]+D[/tex]

Where:

So we just need to use the listed attributes

Therefore, the sine function is:

[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]

I hope it helps you!

Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.

We don't know the score of the second exam. Let it = x

Then we have the following equation:

(88 + x)/2 = 93

88 + x = 2 * 93

88 + x = 186

x = 186 - 88 = 98

You need to score a 98 on the second test

Answer:

x=33

Step-by-step explanation:

If you didn't know all of the angles in a triangle add up to equal 180

We are given to angles, 90 (the square indicates that its a right angle which is equal to 90) and 57

So to find the missing anlge we subtract the given angles from 180

180-90=90

90-57=33

therefore x=33

Answer:

66

Step-by-step explanation:

multiply everything together

im just gonna take the points for falling for that.

Answer:

the answer is 8

Step-by-step explanation:

3(8^2) + 1

8^2 = 64

64 x 3 = 192

192 +1 =193

Answer:

Step-by-step explanation:

Remark

The rate is going to be the same as the distance travelled in 1 hour. The units will be different.

Formula

d = r * t

Givens

d = 558 miles

t = 3 hours

Problem A

r = d / t

r = 558/ 3 = 186 miles / hr

Problem B

Givens

r = 186 miles / hour

t = 1 hour

d = ?

Solution

d = 186 mi/hr * 1 hr

d = 186 miles

Note

This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.

Answer:

Can you please include the complete question?

Step-by-step explanation:

Answer:

84.13% of the lots received by the manufacturer will be returned to the supplier

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.

This means that [tex]\mu = 4, \sigma = 0.04[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]

a) What percentage of the lots received by the manufacturer will be returned to the supplier

The proportion is the pvalue of Z when X = 4.005. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{4.005 - 4}{0.005}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413*100% = 84.13%

84.13% of the lots received by the manufacturer will be returned to the supplier

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

Answer: the answer is c

Step-by-step explanation: i took the test

Answer:

C

Step-by-step explanation:

Answer:

Probability that both managers can attend:

Monday- 0.73x0.94 = 0.69

Tuesday- 0.78 x 0.91 = 0.71

So,  d is correct.

Let me know if this helps!

The day Wednesday choose to maximize the probability that both managers will be available. The probability that both managers will be available is 0.71.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability can be defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Probability that both managers can attend, consider that manager A's availability is independent of manager B's availability,

Monday;

0.73x0.94 = 0.69

Tuesday;

0.78 x 0.91 = 0.71

So, the option d is correct.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Answer:

Step-by-step explanation:

Reference angle for 68° in QII = 180°-68° = 112°

Reference angle for 75° in QIV = 360°-75° = 285°

Answer:

1/100

Step-by-step explanation:

Answer:

Picture would be appreciated.

Answer:

A≈494.13

R = 12.54

D = 25.08

Step-by-step explanation:

Here is all the answers.

PLZZZZ give me brainliest!!!

Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

Answer:

It would be A

I think I forgot I didn't this like 2 weeks ago

Answer:

Step-by-step explanation:

first off we need to know the original sample size and if it is in there then im just cant see it

Answer:

28 i think

Step-by-step explanation:

Answer:c= a +b

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Answer:

r =2.2%

Step-by-step explanation: