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3 years ago

What is the measure of <x

Mathematics

1 answer:

liraira [26]3 years ago

7 0

Answer:

x = 24°

General Formulas and Concepts:

Pre-Alg

Equality Properties

Geometry

Definition of a Line: A line is 180°

Step-by-step explanation:

Step 1: Set up equation

x + 156 = 180

Step 2: Solve for x

Subtract 156 on both sides: x = 24

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Can someone help with explanation what is 2+√12/√27

pychu [463]

Answer:

Step-by-step explanation:

7 0

3 years ago

The gross weekly sales at a certain restaurant are a normal random variable with mean $2200 and standard deviation $230.What is

Lesechka [4]

Answer:

a) The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.

b) The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.

Step-by-step explanation:

Given : The gross weekly sales at a certain restaurant are a normal random variable with mean $2200 and standard deviation $230.

To find : What is the probability that

(a) the total gross sales over the next 2 weeks exceeds $5000;

(b) weekly sales exceed $2000 in at least 2 of the next 3 weeks? What independence assumptions have you made?

Solution :

Let $X_1$ and $X_2$ denote the sales during week 1 and 2 respectively.

a) Let $X=X_1+X_2$

Assuming that $X_1$ and $X_2$ follows same distribution with same mean and deviation.

$E(X)=E(X_1+X_2)=E(X_1)+E(X_2)$

$E(X)=2\mu = 2(220)=4400$

$\sigma_X=\sqrt{var(X_1+X_2)}$

$\sigma_X=\sqrt{2\sigma^2}$

$\sigma_X=\sqrt{2}\sigma$

$\sigma_X=230\sqrt{2}$

So, $X\sim N(4400,230\sqrt{2})$

$P(X>5000)=1-P(X\leq5000)$

$P(X>5000)=1-P(Z\leq\frac{5000-4400}{230\sqrt{2}})$

$P(X>5000)=1-P(Z\leq1.844)$

$P(X>5000)=1-0.967$

$P(X>5000)=0.0321$

The total gross sales over the next 2 weeks exceeds $5000 is 0.0321.

b) The probability that sales exceed teh 2000 and amount in at least 2 and 3 next week.

We use binomial distribution with n=3.

$P(X>2000)=1-P(X\leq2000)$

$P(X>2000)=1-P(Z\leq\frac{2000-2200}{230})$

$P(X>2000)=1-P(Z\leq-0.87)$

$P(X>2000)=1-0.1922$

$P(X>2000)=0.808$

Let Y be the number of weeks in which sales exceed 2000.

Now, $P(Y\geq 2)$

So, $P(Y\geq 2)=P(Y=2)+P(Y=3)$

$P(Y\geq 2)=^3C_2(0.8077)^2\cdot (1-0.8077)+^3C_3(0.8077)^3$

$P(Y\geq 2)=0.37635+0.52692$

$P(Y\geq 2)=0.90327$

The weekly sales exceed $2000 in at least 2 of the next 3 weeks is 0.9033.

3 0

3 years ago

I need help with college mathematics can someone help please ill give you the brainliest answer

arlik [135]

Answer:

3/16

Step-by-step explanation:

since the question has "and" we will be multiplying two unrelated probabilities

P(gray on 1) = 1/4

P(blue on 2) = 3/4

the second probability is not affected since we are not taking away the first space after we land on it

1/4 * 3/4 = 3/16

4 0

3 years ago

Read 2 more answers

I need the answer for this quick thanks in advanced

lidiya [134]

Answer:

w+12 = l

(w +(w + 12) )2= p

Step-by-step explanation:

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3 years ago

-20x<-14 This is my last question for the day

tia_tia [17]

-20x < -14

20x > 14

x > 14 ÷ 20

x > 7/10

x > 0.7

4 0

3 years ago

What is the measure of <x​

What is the measure of <x