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2 years ago

5(8-70) + 29 nt (n=4

Mathematics

1 answer:

IRINA_888 [86]2 years ago

8 0

Answer:

5 x 8 = 40

5 x -70 = -350

40 - 350

29 x 4 = 116t

therefore it would be 40 - 350 + 116t

I think

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A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)

= 0.99492 or 99.5%

The above probability is calculated by looking at the value of x = 2.57 in the z table which has an area of 0.99492.

Therefore, 99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

3 0

3 years ago

Multiply. (2x2 + 4x - 3)(x2 - 2x + 5)

BigorU [14]

For a moment, let $y=x^2-2x+5$ . Then by the distributive property,

$(2x^2+4x-3)p=2x^2p+4xp-3p$

Again by the distributive property,

$2x^2p=2x^2(x^2-2x+5)=2x^4-4x^3+10x^2$

$4xp=4x(x^2-2x+5)=4x^3-8x^2+20x$

$-3p=-3(x^2-2x+5)=-3x^2+6x-15$

Taking everything together, we get

$(2x^2+4x-3)(x^2-2x+5)=(2x^4-4x^3+10x^2)+(4x^3-8x^2+20x)+(-3x^2+6x-15)$
$(2x^2+4x-3)(x^2-2x+5)=2x^4-x^2+26x-15$

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csf%5Cfrac%7B%7B96%7D%5E%7B84%7D%7D%7B%7B96%7D%5E%7B82%7D%7D%3D..." id="TexFormula1" title="

NNADVOKAT [17]

<h3>☁️ Learn Math With Me-!</h3>

$\sf\frac{{96}^{84}}{{96}^{82}}=... \\$

$\sf = {96}^{84} \div {96}^{82}$

$\sf = {96}^{84 - 82}$

$\sf = {96}^{2}$

$\sf = 96 \times 96$

$\sf = 9.216$

Correct Me If I'm Wrong :)

6 0

2 years ago

Read 2 more answers

N/5 + -6 = 9 What is n ?

Tatiana [17]

Answer: 75

work: n/5 + -6 = 9
n/5 = 9+ 6
n/5 = 15
n = 15 x 5
n= 75

4 0

3 years ago

2. The difference of twice a number and 8 is 12.

zzz [600]

Step-by-step explanation:

Let x be the number. If the question is 2x-8, the answer is 10. If the question is 8-2x, the answer is -2. The answer is probably 10, though. The larger number is usually given first.

6 0

3 years ago