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Strike441 [17]
3 years ago
10

Find the value of x if the arithmetic mean of 3 and 3x+5 is 8?

Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

1

Step-by-step explanation:

3x+5=8

Group like terms

3x=8-5

3x=3

Divide both side by the co-efficient of x which is 3

3x/3=3/3

x=1

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 623 babies bo
Margaret [11]

Answer:

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 3448, \sigma = 862

Proportion of newborns who weighed between 1724 grams and 5172 grams.

This is the pvalue of Z when X = 5172 subtracted by the pvalue of Z when X = 1724. So

X = 5172

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

By the Central Limit Theorem

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

Z = \frac{5172 - 3448}{862}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 1724

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

Z = \frac{1724 - 3448}{862}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

Estimate the number of newborns who weighed between 1724 grams and 5172 grams.

0.9544 out of 623 babies. SO

0.9544*623 = 595

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

5 0
3 years ago
Which expression is equivalent €2x5/18? Assume x>0.
vodomira [7]

Answer:

Which expression is equivalent €2x5/18? Assume x>0.

even google is confused of this question its taking to long to load when i put it in

EXPLAIN YOURSELF

btw the answer is Answer: A \frac{x^2\sqrt{x}}{3}

4 0
2 years ago
Which of the following is most likely the next step in the series?
Serggg [28]

Answer:

the answer is D

Step-by-step explanation:

the color changes aswell in the sequence

5 0
3 years ago
Read 2 more answers
A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are ev
quester [9]
The answer would be 0.44
5 0
4 years ago
Read 2 more answers
Helppppp me plss, I’ll mark u as brainlest
Marina86 [1]

\large\color{lime}\boxed{\colorbox{black}{Answer : - }}

We know that, in ∆ABC,

∠A+∠B+∠C = 180°

But the triangle is right angled at C

ie., ∠C = 90°

Therefore, ∠A+∠B+ 90° = 180°

⇒ ∠A + ∠B = 90°

Therefore, <u>cos(A + B) = cos 90º = 0</u>

6 0
3 years ago
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