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3 years ago

PLEASE ANSWER ASAP WILL GOVE BRAINLYIEST

Mathematics

1 answer:

kirza4 [7]3 years ago

5 0

Answer:

Proved that GB ≅ AH.

Step-by-step explanation:

See the attached diagram.

Statement 1: ∠ GBH ≅ ∠ AHB

Reason 1: This is given.

Statement 2: ∠ GHB ≅ ∠ ABH

Reason 2: This is also given.

Statement 3: BH ≅ HB.

Reason 3: From the diagram. Reflexive property of congruence.

Statement 4: Δ GBH ≅ Δ AHB

Reason 4: By Angle-Side-Angle or ASA criteria of congruency.

Statement 5: GB ≅ AH

Reason 5: Corresponding sides of two congruent triangles. (Proved)

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A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta

nikklg [1K]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

1,190 adults were asked, hence $n = 1190$

In fact 62% of all adults favor balancing the budget over cutting taxes, hence $p = 0.62$ .

The mean and the standard error are given by:

$\mu = p = 0.62$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141$

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.59 - 0.62}{0.0141}$

$Z = -2.13$

$Z = -2.13$ has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

7 0

2 years ago

10 - 6z = -104 *pls help me

ICE Princess25 [194]

X is equal to 19. Hoped this helped

6 0

3 years ago

Read 2 more answers

Would these be similar?

const2013 [10]

Hey buddy I am here to help!

Yes these r similar!

Hope this helps!

Plz mark me brainliest!

8 0

3 years ago

Read 2 more answers

Find the possibility of rolling even numbers three times, using a six-side die number from 1 to 6

seraphim [82]

Answer:

$\frac{1}{8}$

Step-by-step explanation:

Number of sides of die = 6

Number of sides with even numbers = 3

P( rolling an even number 1 time) = $\frac{3}{6}$ = $\frac{1}{2}$

P(rolling even number 3 times) = $\frac{1}{2}$ x $\frac{1}{2}$ x $\frac{1}{2}$ = $\frac{1}{8}$

5 0

3 years ago

Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. H

Natalka [10]

Answer:

Mr. Lim will have $2500

Step-by-step explanation:

Given:

The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;

Mr. Lim has $450 more than what Mr. Tan has;

Mr. Chan has double the amount of money than what Mr. Tan has.

Therefore, if we assume that the amount of money Mr. Tan has as x, then...

Total money = Mr. Tan + Mr. Lim + Mr. Chan

therefore,

8650 = x + (x + 450) + 2x

8650 = x + 2x + x + 450

8650 = 4x + 450

8650 - 450 = 4x

8200 = 4x

8200/4 = x

2050 = x

As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.

I hope this helped you :)

3 0

4 years ago