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2 years ago

Simplify the expression: 2(2 + 4k)

Mathematics

2 answers:

Nuetrik [128]2 years ago

8 0

Simplify the expression
2(2+4k)
(4+8k) = 12k
2(2+4k) = 12k

snow_lady [41]2 years ago

3 0

12k is your answer
Brainliest would be nice

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Add three data values to the following data set so the mean increases by 10 but the median does not change. The numbers are 42 3

777dan777 [17]

In order the numbers are 20, 29, 32, 37, 42.
So that means the median is 32. In order for the median to stay the same one of the three data values must be 32 as well as adding a number to each side of the ends. One 32 or less another 32or more.
The mean right now is: 20+29+32+37+42=160 and there are 5 values.
Mean: 160/5=32
For it to increase by 10 it has to be 42.
extra 3 numbers I used were 31, 32, & 113 (those are your answer)

3 0

3 years ago

Which expressions are equivalent to 15.8×300?

Travka [436]

Answer:

A and C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help. Answer only if u can show your work or explain

Elenna [48]

Gropu like terms
(-1/2)x+(3/2)x-4x+3+5=
(2/2)x-4x+8=
1x-4x+8=
-3x+8

3 0

2 years ago

Read 2 more answers

5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th

xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

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 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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that $\mu = 8, \sigma = 4$

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

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

$Z = \frac{15.56 - 8}{4}$

$Z = 1.89$

$Z = 1.89$ has a pvalue of 0.9706

X = 1.48

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

$Z = \frac{1.48 - 8}{4}$

$Z = -1.63$

$Z = -1.63$ has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

$P(1.48 \leq X \leq 15.56) = 0.919$

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

5 0

2 years ago

Simplify 4√32 A. 4√8 B. 16√2 C. 8√2 D. 24

denpristay [2]

$4\sqrt{32} =\\\\ 4\sqrt{16\times 2} =\\\\4\sqrt{16}\times \sqrt{2} =\\\\ 4\times 4\times \sqrt{2} =\\\\\ 16\times \sqrt{2}=\\\\ 16\sqrt{2}$

Your final answer is B.

4 0

3 years ago