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2 years ago

Pls help this is due today and i have no idea

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

7 0

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

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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

2 years ago

27.36 divided by 3.14 use compatible numbers to estimate the quotient

stiks02 [169]

Answer:

Step-by-step explanation:

you can round the numbers

27/3= 9

27.36 rounds down to 27 and 3.14 rounds to 3

6 0

3 years ago

Read 2 more answers

Suppose we want to choose a value of x within 3 units of 11. [This means a value of x that is less than 3 units away from 11.] T

Dahasolnce [82]

Answer:

(a) [8, 14]

(b) $8 \leq x \leq 14$

(c)See attachment

Step-by-step explanation:

We want to choose a value of x within 3 units of 11.

(a)Now, 11-3=8 and 11+3=14

The possible values of x ranges is in the closed interval [8,14]

(b) Since x is within 3 units of 11., we have:

$|11-x|\leq3$

Solving the absolute inequality

$-3 \leq 11-x \leq 3\\$In $ -3 \leq 11-x\\ x \leq 11+3\\x \leq 14\\\\$In $ 11-x \leq 3\\ 11-3 \leq x\\8 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\8 \leq x \leq 14$

(c)To draw the number line, we use a closed dot since we have the less than or equal to sign.

5 0

2 years ago

Read 2 more answers

Complete the calculation how to find partial products<br><br> 1 2 4<br> × 2<br> ----------

a_sh-v [17]

The first step is to write each factor in expanding notation.

This is:

- 124 = 100 + 20 + 4
- 2 = 2

Now muliply 2 times each term of the terms 100, 20 and 4

=> 2 * 100 = 200

2 * 20 = 40

2 * 4 = 8

Then,

    (100 + 20 + 4 )
x                     2
-----------------------
                       8
               40
                   200
------------------------
                   248

6 0

3 years ago

Hey guys whats a good calculator to get for maths

kirill [66]

Answer: CasioFX-CG50

Step-by-step explanation: you can get it on amazon

7 0

2 years ago