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3 years ago

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Triangles ACD and BCD are isosceles. angles BAC has a measure of 18° an angle BDC has a measure of 48° find a measure of angle A

BD.
Please help me it’s due today.

1 answer:

Mademuasel [1]3 years ago

8 0

Answer:

125

Step-by-step explanation:

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Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

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

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0

3 years ago

Rationalize the denominator, then simplify 10/sqrt2

kupik [55]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

To rationalize the denominator, you need to multiply the numerator and denominator by the radical in the denominator (aka. a factor of 1):

$\frac{10}{\sqrt{2}}$

$\frac{10}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}$

$\frac{10\sqrt{2}}{2}$

$5\sqrt{2}$

6 0

3 years ago

What is the answer of a ?

Scorpion4ik [409]

Answer:

<h2>2.2</h2>

Step-by-step explanation:

Use the cosine law (look at the picture).

We have:

$a=a\\b=4\\c=3\\\gamma=32^o$

$a^2=4^2+3^2-2(4)(3)\cos32^o$

$\cos32^o\approx0.848$ → look at the second picture

$a^2=16+9-24(0.848)\\\\a^2=25-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2$

4 0

4 years ago

I need help with this equation. 9q - 14 + 3(q - 8) = 7 I looked it up and the answer was 3.75, however I don't understand how it

coldgirl [10]

Parentheses first

9q-14+3q-3(8)=7
9q-14+3q-24=7

Combine like terms

9q + 3q - 14 - 24 = 7
12q -38=7

add 38 to both sides

12q - 38 + 38 = 7 + 38

12q = 45

divide both sides by 12

q = 45/12
q = 3.75

8 0

3 years ago

Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 31⁄5 pages, and after dinner she read 11⁄3 pages. H

MrMuchimi

Answer: 7 1/30

Step-by-step explanation:

Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:

2 1/2 + 3 1/5 + 1 1/3

The LCM of 2, 5 and 3 is 30.

= 2 15/30 + 3 6/30 + 1 10/30

= 6 31/30

= 7 1/30.

5 0

3 years ago