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3 years ago

Plz answer this now plz

Mathematics

1 answer:

iragen [17]3 years ago

7 0

Answer:

because M is the centroid of the triangle

=> PM = 2AM

<=> AM = PM/2 = 10 /2 = 5

=> AM = 5

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Ten customers enter a convenience store during their lunch hour on Monday. The age of each customer is identified on the dot plo

Ksenya-84 [330]

F. 30 is the correct answer, for mean you just have to add all the ages together and divide by the number of customers

7 0

2 years ago

Read 2 more answers

In triangle ABC, the measure of angle B is 50 degrees. Select all possible values for the measures of A and C if ABC is an acute

galben [10]

Answer:

Step-by-step explanation:

Sum of angle in a triangle = 180°

<A+<B+<C = 180

Given <B = 50°

Substituting into the formula

<A+50+<C = 180

<A+<C = 180-50

<A+<C = 130°

Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°

The possible values of <A and <C that will be acute and give a sum of 130° are;

∠A= 58° and ∠C= 72°

∠A= 80° and ∠C= 50°

∠A= 60° and ∠C= 70°

You can see that all the Angles are less than 90° and their sum is 130°

5 0

2 years ago

Carmen deposits $700 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in t

VLD [36.1K]

First we need to find what 3% of 700 is. We know 10% is 70, 5% is 35, so we need to find out what 3% is. If you don't know how to calculate percentages of a number, I recommend starting with 10%. This way you know 10% of the number is 70, so you will also know that 1% of the number is 7. 7 x 3 = 21. So 3% of 700 is 21. Since it was over 6 years, we multiply 21 x 6. That gives us 126. She will be paid $126 in interest in the first six years.

4 0

3 years ago

Read 2 more answers

A 2-pound box of spaghetti costs $2.50. Philip says that the unit cost is 2 over 250 = $0.80 per pound. Explain his error

7nadin3 [17]

Phillip forgot to put a period between 2 and 50

4 0

2 years ago

An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s

UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= $\frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }$

a) 95% CI

(X[bar]_1 - X[bar]_2) ± $t_{n_1 + n_2 - 2}$ * $Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }$

Sa²= $\frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}$ = $\frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}$ = 0.5

Sa= 0.707ç

$t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306$

(4.7-6.9) ± 2.306* $(0.707\sqrt{\frac{1}{5}+\frac{1}{5} })$

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

8 0

3 years ago