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3 years ago

HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

Answer:

Step-by-step explanation:

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

$\dfrac{AC}{AJ}=\dfrac{AB}{AK}$

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

$\dfrac{5}{1}=\dfrac{1+x}{1}$

$5=1+x$ <em>subtract 1 from both sides</em>

$4=x\to x=4$

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

$\dfrac{VU}{VM}=\dfrac{VT}{VN}$

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

$\dfrac{x+8}{x}=\dfrac{49}{35}$ <em>cross multiply</em>

$35(x+8)=49x$ <em>use the distributive property a(c + b) = ab + ac</em>

$35x+280=49x$ <em>subtract 35x from both sides</em>

$280=14x$ <em>divide both sides by 14</em>

$20=x\to x=20$

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Gnesinka [82]

Answer:

Courage is about doing what you believe needs to be done — not in the absence of fear but in spite of it.

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Step-by-step explanation:

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2 years ago

Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of

tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For this problem, the parameters are given as follows:

$\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743$

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

$Z = \frac{16 - 15}{0.4743}$

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

$Z = \frac{15 - 15}{0.4743}$

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0

1 year ago

3.Cornelia spends 2 2/3 hours studying for her big science test. She spent 2/3 of an hour finishing her writing assignment and 1

Nuetrik [128]

2 2/3 + 2/3 + 1/4 =
8/3 + 2/3 + 1/4 =
10/3 + 1/4 =
40/12 + 3/12 =
43/12 =
3 7/12 hrs <===

7 0

3 years ago

Can someone please help me?

professor190 [17]

Answer:

The first one is D, and the second one is also D

Step-by-step explanation:

6 0

3 years ago

Which of the following is equivalent to (5)^7/3

kifflom [539]

<em>The answer is $\sqrt[3]{ 5^{7} }$ </em>

The reason we get this answer is because when you are converting from exponential form, to radical form you always place the numerator as our constant's exponent in the radical <em>( $5^{7}$ is called the radicand because it is located in the radical)</em> and the denominator in front of the radical, where it would be called the index.

<em>Here's what a formula would look like:</em> $( \sqrt[n]{x} ) ^{q}=x^{ \frac{p}{q} }$

Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can help you further! :D

3 0

2 years ago

Read 2 more answers