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1 year ago

Bill notes that his apple tree is 4/5 the size of his pear tree is apple tree is 4 M tall how tall is the pear tree

Mathematics

1 answer:

e-lub [12.9K]1 year ago

7 0

1) Given that the apple tree is 4/5 pear tree we can write

Apple Tree size = 4/5 Peartree

Apple tree= 4m

2) So we can write the following expression for that:

$\begin{gathered} Apple=\frac{4}{5}P \\ 4=\frac{4}{5}_{}P \\ 4P=20m \\ P=\frac{20}{4} \\ P=5 \\ \\ \end{gathered}$

So the Pear tree is 5 meters tall, and the apple tree is 4/5*5 = 4 m

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In a given year, the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500. If a samp

nika2105 [10]

Answer:

15.15% probability that the sample mean will be $192,000 or more.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 189000, \sigma = 20500, n = 50, s = \frac{20500}{\sqrt{50}} = 2899.14$

The probability that the sample mean will be $192,000 or more is

This is 1 subtracted by the pvalue of z when X = 192000. So

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

By the Central Limit Theorem

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

$Z = \frac{192000 - 189000}{2899.14}$

$Z = 1.03$

$Z = 1.03$ has a pvalue of 0.8485.

1-0.8485 = 0.1515

15.15% probability that the sample mean will be $192,000 or more.

7 0

3 years ago

PLZZZZZZZZZZZZZZ HELP ME WITH THIS

Gemiola [76]

In a quadratic function you square x so I'd assume that's what they want.

That means the values of f(x) would be:

4 0

2 years ago

Can someone help me to solve this number 9?

horsena [70]

I will say 1 block is 1 something okay cause I don’t have a key mini has an area of 2 (2x2=4/2=2) And the giant has an area of 32 (8x8=64/2=32) I don’t know if the small one became big or the big one became small so if the small to big is 16 big to small is 0.0625 or the numbers the other way around

8 0

3 years ago

Read 2 more answers

I need help with this geometry question asap!

guajiro [1.7K]

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

#SPJ1

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2 years ago

Find the lengths of x <br><br> I tried everything I still got it wrong

Arlecino [84]

if the degrees in this triangle are truly 90-45-45, then the two unknown lengths are the same

and the pythagorean theorem holds anyways: a² + b² = c², where c is the longest side in a right triangle.

c is 16, so 16² is 256

2* a² = 256

I wrote 2 times s because a and b are of same length

devide each side by 2

a² = 128

take the root

a and b are:

$\sqrt{128} = 11.31378499$

7 0

2 years ago