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3 years ago

!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

bezimeni [28]3 years ago

8 0

Answer:

x = 55

Step-by-step explanation:

To find the value of x

3x - 35 = 130 (vertically opposite angles are equal)

3x = 130 +35

3x = 165

x = 165/3

x = 55

Serga [27]3 years ago

6 0

Answer:

x= 55

Step-by-step explanation:

3x-35=130

3x=130+35

3x= 165

x=165/3

x=55

I hope I helped you^_^

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The rate at which customers are served at an airport check-in counter is a Poisson process with a rate of 8.1 per hour. The prob

just olya [345]

Answer:

Value of a is 0.667

Step-by-step explanation:

We are given the following in the question:

The rate of customer at an airport follows a Poisson distribution with

$\lambda = 8.1$

The normal approximation of Poisson distribution can be done in the following manner

$\mu = \lambda = 8.1\\\sigma^2 = \lambda = 8.1\\\sigma = \sqrt{8.1} = 2.85$

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of a such that

$P(X_p > 50)=P(Z > a)$

More than 50 customers per 5 hours means more than 10 customer per hour.

Thus, we can write

$P( x > 10) = P( z > \displaystyle\frac{10 - 8.1}{2.85}) = P(z > 0.667)$

Therefore, value of a is 0.667

4 0

3 years ago

Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that in

schepotkina [342]

Answer:

a) Alternative hypothesis: the use of the coupons is isgnificantly higher than 10%.

Null hypothesis: the use of the coupons is not significantly higher than 10%.

The null and alternative hypothesis can be written as:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

b) Point estimate p=0.13

c) At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

Eagle should not go national with the promotion as there is no evidence it has been succesful.

Step-by-step explanation:

The question is incomplete.

The sample data shows that x=13 out of n=100 use the coupons.

This is a hypothesis test for a proportion.

The claim is that the proportion of coupons use is significantly higher than 10%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

The significance level is 0.05.

The sample has a size n=100.

The point estimate for the population proportion is the sample proportion and has a value of p=0.13.

$p=X/n=13/100=0.13$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.0009}=0.03$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.13-0.1-0.5/100}{0.03}=\dfrac{0.025}{0.03}=0.833$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>0.833)=0.202$

As the P-value (0.202) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

6 0

3 years ago

Anyone, PLEASE answer me all the questions with their answers because I have final board exams, so please answer. I will mark Br

motikmotik

Answer:

Ok! I will keep a look out on your account and only answer when im sure that I know the answer! :D

Step-by-step explanation:

5 0

3 years ago

Why do we use variables in math?

Phoenix [80]

Answer:

We use it to substitute an unknown number. We have a variable for a number we don’t know and as we solve the problem we can find the answer for the variable or unknown number.

Step-by-step explanation:

I hope it helps! Have a great day!
Anygays-

8 0

2 years ago

Read 2 more answers

Ashad is rewriting the expression 28 a + 36 a b as a product. Which statements about the expression are accurate and relevant to

Gala2k [10]

Answer:

(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.

(C)The GCF of the variables(a and ab) in each term in the expression is a.

(E)The factored form of the expression is 4a(7+9b)

Step-by-step explanation:

Given the expression: $28a+36ab$

If we write it as a product, we obtain:

$28a+36ab=4a(7+9b)$

We can see the following

The GCF of the numbers(28 and 36) in each term in the expression is 4.
The GCF of the variables(a and ab) in each term in the expression is a.
The factored form of the expression is 4a(7+9b)

The correct options are B, C, and E.

8 0

4 years ago