A triangle with exactly two sides of the same length is called

Suppose we want to study the average weight of children in the US. We collect a random sample of 345 first graders in three diff

natta225 [31]

Answer:

F test

Step-by-step explanation:

Given that we want to study the average weight of children in the US. We collect a random sample of 345 first graders in three different US states

Since there are three samples representing three populations to check whether they have same average weight we have to use F test.

Two sample t test is wrong because here there are three samples.

Paired t test is done for the same item subject to two different tratments

Z test is done for comparing of a mean with population mean or proportion if the population standard deviation is known.

Hence here since the number of groups are more than two, only F test is best suited to determine whether there is a difference in the average student weight among the three states

3 0

3 years ago

Your mom opens an account to save money for a family vacation. The account earns an annual interest rate of 4%. She earns $37 in

Mumz [18]

$1,850 is the correct answer. When you divide the interest ($37) by the time in years (0.5) and the interest rate (0.04), you get the correct amount of principal.

That's straight from the source. I feel so bad that your question didn't get answered. It's legit been two years

4 0

3 years ago

What number must be squared in order to complete the pattern. 49,64,81,100

egoroff_w [7]

Answer:

11 must be squared.

Step-by-step explanation:

5 0

3 years ago

The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:

weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

$S_{\infty}=\frac{a}{1-r}$

Where

$\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\ \\ a\text{ is the first term = 1} \\ \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}$

So, this becomes

$\begin{gathered} S_{\infty}=\frac{a}{1-r} \\ \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\ \\ S_{\infty}=3 \end{gathered}$

Therefore, option b is the correct answer

5 0

1 year ago

25 Points ! Write a paragraph proof.<br> Given: ∠T and ∠V are right angles.<br> Prove: ∆TUW ∆VWU

vladimir2022 [97]

Answer:

Δ TUW ≅ ΔVWU ⇒ by AAS case

Step-by-step explanation:

* Lets revise the cases of congruent for triangles

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

leg of the 2nd right angle Δ

* Lets solve the problem

- There are two triangles TUW and VWU

- ∠T and ∠V are right angles

- LINE TW is parallel to line VU

∵ TW // VU and UW is a transversal

∴ m∠VUW = m∠TWU ⇒ alternate angles (Z shape)

- Now we have in the two triangles two pairs of angle equal each

other and one common side, so we can use the case AAS

- In Δ TUW and ΔVWU

∵ m∠T = m∠V ⇒ given (right angles)

∵ m∠TWU = m∠VUW ⇒ proved

∵ UW = WU ⇒ (common side in the 2 Δ)

∴ Δ TUW ≅ ΔVWU ⇒ by AAS case

7 0

3 years ago

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