Your answer

Answer:

**Answer:**

2/6

**Step-by-step explanation:**

There are only 2 multiples of 3, and there are only 6 possible outcomes.

Simplify 6 x + 3y /3

Two numbers are randomly selected on a number line numbered 1 through 9. The same number can be chosen twice. What is the probability that both numbers are greater than 6?

Are they equal or diffrent angles

Is f(x)=7-2x a polynomial function

Guided Practice1. A manufacturer gets a shipment of 600 batteries of which 50 aredefective. The quality control manager tests a random sample of30 batteries in each shipment. Simulate the test by generating randomnumbers between 1 and 600. How well does your sample represent theshipment? Explain. (Explore Activities 1 and 2)

Two numbers are randomly selected on a number line numbered 1 through 9. The same number can be chosen twice. What is the probability that both numbers are greater than 6?

Are they equal or diffrent angles

Is f(x)=7-2x a polynomial function

Guided Practice1. A manufacturer gets a shipment of 600 batteries of which 50 aredefective. The quality control manager tests a random sample of30 batteries in each shipment. Simulate the test by generating randomnumbers between 1 and 600. How well does your sample represent theshipment? Explain. (Explore Activities 1 and 2)

50°

60°

709

Х

50°

The value of xis

o, and the value of yis

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)

x = 180° - 120°

x = 60°

✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.

Therefore,

50° + 60° = x + y

Plug in the value of x

50° + 60° = 60° + y

110° = 60° + y

y = 110° - 60°

y = 50°

12

B.

14

C.

19

D.

13

E.

6

F.

8

Question says inequality, but there was no symbol between 9x and 117.

If it were an equation, then it reads 9x=117, in which case the answer is

x=117/9=13.

If it were 9x>=117, then all choices 13 or greater qualify.

If it were 9x<=117, then all choices 13 or less qualify.

If it were an equation, then it reads 9x=117, in which case the answer is

x=117/9=13.

If it were 9x>=117, then all choices 13 or greater qualify.

If it were 9x<=117, then all choices 13 or less qualify.

**Answer:**

The largest standard deviation for the amount of cereal in a box is 0.3906.

**Step-by-step explanation:**

**Problems of normally distributed samples can be 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.

**In this problem, we have that:**

The z-score of X = 16 has a pvalue of 0.1. So it is . Now we have to find the value of .

The largest standard deviation for the amount of cereal in a box is 0.3906.

**Answer:**

it is greater than ten and less than 100, the answer is 30%

**Step-by-step explanation:**

600*5=3000

3000/100=30%

The probability that the average percent of fat calories is more than 40 for a group of 16 individuals is** 0.1151** and the first quartile for the average percent of fat calories is **34.82.**

The problem presented is one of statistics, specifically dealing with the **normal distribution**. When dealing with the normal distribution, there are a few key facts to know. The mean (μ) is the average value of the data, the standard deviation (σ) measures the spread of the data, and the Z-score measures how many standard deviations an element is from the mean. It appears that you're asked to find the probability that the *average percent of fat calories* is more than 40 for a group of 16 individuals and the value corresponding to the first quartile.

- For (a), remember that when dealing with averages, the standard deviation gets divided by the square root of the number of observations. Therefore, the new standard deviation becomes 10/√16 = 2.5. The Z-score can then be calculated by subtracting the mean from the observed value and dividing by the new standard deviation. That is, Z = (40 - 37) / 2.5 = 1.2. You can then refer to a Z-table to find the probability associated with this Z-score. However, since the question is asking for
*more than*40, you need to subtract the resulting probability from 1. Rounded to four decimal places, the probability that the average percent of fat calories is**more than 40**is 0.1151. - For (b), the first quartile (Q1) is the value corresponding to the 25th percentile. This corresponds to a Z-score of -0.674 (from the Z-table). You can then use the formula Q1 = μ + Zσ to obtain Q1 = 37 - 0.674*2.5 = 34.815. Therefore, the first quartile for the average percent of fat calories is
**34.82**(after rounding to two decimal places).

#SPJ11

The probability that the group consumes more than 40% of fat calories is 0.8849 (or 88.49%). The first quartile for the average percent of fat calories is 34.26%.

This problem requires the use of **normal distributions **and the calculation of z-scores, which is a quantitative measure that describes a value's relationship to the mean of a group of values. Knowing the mean (μ) and standard deviation (σ), you can calculate the z-score.

In part a) the problem asks for the probability that a sample of 16 individuals has an average fat calories consumption over 40%. First, we calculate the z-score.

z = (X - μ) / (σ/ √ n ), where n is the sample size. So, z = (40 - 37) / (10 / √ 16) = 1.2. Using a standard normal distribution table, we find that the **probability **corresponding to this z-value is ~0.1151. However, since the question is asking for more than 40%, we subtract this from 1 (1 - 0.1151 = 0.8849). So, the chance that the average of this sample would have more than 40% fat calories is 0.8849, or 88.49%.

For part b), the first quartile (also known as the 25th percentile) is the point at which 25% of the data fall below it. With a standard normal distribution, this z-value is approximately -0.674. We plug this into our z-score formula to find: X = μ + Zσ = 37 -0.674(10) =34.26%. Therefore, the point where 25% of individual average fat calories fall below it is 34.26%.

#SPJ3

**Answer:**

y=4x-1

**Step-by-step explanation:**

Remember the point slope form equation y-y1=m(x-x1) where m is the slope and the given point is (x1,y1)

y-7=4(x-2) . Plug in the numbers for the equation

y-7=4x-8 distributive property

y = 4x-1

y=4x-1 is the equation that passes through (2,7)