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Nuetrik [128]
2 years ago
11

lass="latex-formula">
Mathematics
1 answer:
LenKa [72]2 years ago
7 0

Answer:

x = ±6

Step-by-step explanation:

=> x^3 = 216\\

<em><u>Taking cube root on both sides </u></em>

=> x = ±6

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Subtract the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow
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Hi! :)

12 a^2 + 60 a - 8
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3 0
3 years ago
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
Solve the following system by graphing.
Masja [62]
Hello : 
the solution is : <span>(3, -1)
put  x= 3 and y = -1
you have : 3-(-1) = 4   and  3+(-1) = 2 ..... right</span>
7 0
3 years ago
Read 2 more answers
1/4 of a number decreased by three is at least two
posledela

Answer:

¹/₄x - 3 ≥ 2

+ 3 + 3

4(¹/₄x) ≥ 4(5)

x ≥ 20

Step-by-step explanation:

5 0
2 years ago
Complete the square to determine the minimum or maximum value of the function defined by the expression.
FrozenT [24]

Answer:

Option D. minimum value at −38

Step-by-step explanation:

we have

x^{2}-12x-2

Let

y=x^{2}-12x-2

Complete the square

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y+2+36=(x^{2}-12x+36)

y+38=(x^{2}-12x+36)

y+38=(x-6)^{2}

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The vertex is the point (6,-38)

The parabola open upward-----> the vertex is a minimum

therefore

minimum value at −38

3 0
2 years ago
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