Answer:

**Answer:**

There is a 3.7% probability that they both will like it.

**Step-by-step explanation:**

**We can solve this problem using the Bayes rule derivation from conditional probability.**

Bayes rule:

What is the probability of B, given that A?

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

is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So

is the probability that Melissa likes the movie. The problem states that .

**If they randomly select a movie from a video store, what is the probability that they both will like it?**

This is .

There is a 3.7% probability that they both will like it.

Brandon wants to use the Distributive Property to figure this problem out. What should be his next step?Brandon's step so far: 8 × (10 + 7)(8 × 10) + (8 × 7)(8 + 10) × (8 + 7)(8 × 10) + 710 + (8 × 7)

What'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS

Question 8 of 10If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+g)(x).O A. 4x-3O B. 3x - 1C. 7x-1O D. 7x-3SUBM

A circle has a radias of 12in. The diameter of the circle is _____in. In order to find the area of the circle, use the formula ____ The area of the circle is ____Thanks

Let h be the function given by h(x) =x+x-2 ²-1 We will investigate the behavior of both the numerator and denominator of h(x) near the point where x = 1. Let f(x)= x³ + x -2 and g(x)=x²-1. Find the local linearizations of f and g at a = 1, and call these functions Lf(x) and Lg(x), respectively. Lf(x) = L₂(x) = Explain why h(x) ≈ Lf(x) Lg(x) for a near a = 1.

What'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS

Question 8 of 10If f(x) = 5x – 2 and g(x) = 2x + 1, find (f+g)(x).O A. 4x-3O B. 3x - 1C. 7x-1O D. 7x-3SUBM

A circle has a radias of 12in. The diameter of the circle is _____in. In order to find the area of the circle, use the formula ____ The area of the circle is ____Thanks

Let h be the function given by h(x) =x+x-2 ²-1 We will investigate the behavior of both the numerator and denominator of h(x) near the point where x = 1. Let f(x)= x³ + x -2 and g(x)=x²-1. Find the local linearizations of f and g at a = 1, and call these functions Lf(x) and Lg(x), respectively. Lf(x) = L₂(x) = Explain why h(x) ≈ Lf(x) Lg(x) for a near a = 1.

**Answer:**

a) Critical value = -1.285

b) We should reject null hypothesis that the mean equals 0.32

**Step-by-step explanation:**

Given that the statistic of z equals negative 2.40 is obtained when testing the claim that less than 0.32

i.e. for hypotheses

(one tailed test at 10% significance level)

Z critical value for 90% one tailed = -1.285

Since our test statistic is less than -1.285 we reject null hypothesis

a) Critical value = -1.285

b) We should reject null hypothesis that the mean equals 0.32

(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.

Calculate the value of the test statistic (round to 4 decimal places).

Calculate the p-value (round to 4 decimal places).

Answer:

The test statistics is

The p-value is

Step-by-step explanation:

From the question we are told

The West side sample size is

The number of residents on the West side with income below poverty level is

The East side sample size

The number of residents on the East side with income below poverty level is

The null hypothesis is

The alternative hypothesis is

Generally the sample proportion of West side is

=>

=>

Generally the sample proportion of West side is

=>

=>

Generally the pooled sample proportion is mathematically represented as

=>

=>

Generally the test statistics is mathematically represented as

=>

=>

Generally the p-value is mathematically represented as

From z-table

So

**Answer:**

**Step-by-step explanation:**

The order for FCFS is: 20->10->22->20->2->40->6->38.

Distance is

10+12+2+18+38+34+32 = 146

cylinders, so time is

146* 6 = 876 sec.

The order for elevator is:

20->20->22->38->40->10->6->2.

Distance is

0+2+16+2+30+4+4 = 58

cylinders, so time is

58 * 6 =348 msec.

The order for CCN is:

20->20->22->10->6->2->38->40.

Distance is

0+2+12+4+4+36+2 = 60

cylinders, so time is 60 * 6 =360 msec.

−4p+(−2)+2p+3

**Answer:**

-2p+1

**Step-by-step explanation:**

combine -4p+2p=-2p and -2+3=1 so your answer is -2p+1

Which of the following could represent the measures of the three angles?

Ox, 2%, 4%

OX, 2x, 3x

OX, 2x, 2x

**Answer:**

x, 2x, 3x

**Step-by-step explanation:**

If we have angle *x* as one angle, and the 2nd angle is *twice *the angle, the 2nd angle will be **2x**. If the 3rd angle is the sum of the 1st angle and the 2nd angle, we have 2x + x, which equals **3x**.

7x = 42

**Answer:**

x = 6

**Step-by-step explanation:**

**Answer:**

x=6

**Step-by-step explanation:**

7x=42

X divided by 7 and 42 divided by 7 gives you

x=6