Give B (-4,-6) under which selection is B'(4,6)?

Related Questions

A manufacturer knows that their items have a normally distributed length, with a mean of 13.1 inches, and standard deviation of 4.1 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 11.1 inches

0.73% probability that their mean length is less than 11.1 inches

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

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 random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation, which is also called standard error

In this problem, we have that:

What is the probability that their mean length is less than 11.1 inches

This is the pvalue of Z when X = 11.1. So

By the Central Limit Theorem

has a pvalue of 0.0073.

0.73% probability that their mean length is less than 11.1 inches

Is 16.5 the same thing as 16 or is it greater than 16?

I think it is greater than

What is the volume of a sphere with a surface area of 196 π ft2 ? Question 12 options: 1372/ 3 π ft3 457/ 3 π ft3 226/ 3 π ft3 420 π ft3

1372/3

Step-by-step explanation:

A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates. Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories. At the .05 level of significance, is there sufficient evidence that the average calorie content of a 12-ounce can is greater than 120 calories? Assume that the number of calories per can is normally distributed.

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

Let = average calorie content of a 12-ounce can.

So, Null Hypothesis, : 120 calories     {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, : > 120 calories     {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. =    ~

where, = sample average calories per can = 124 calories

s = sample standard deviation = 6 calories

n = sample of cans = 10

So, test statistics  =    ~

=  2.108

The value of t test statistics is 2.108.

Now, at 0.05 significance level the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant​ sell?

50

Step-by-step explanation:

From the circle graph :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

A right triangle has side lengths a, b , and c as shown below. Use these lengths to find cosx , sinx and tanx. (GIVING BRAINLEST TO BEST ANSWER)​

9514 1404 393

• cos(x) = a/c
• sin(x) = b/c
• tan(x) = b/a

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

Tan = Opposite/Adjacent   ⇒   tan(x) = b/a