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3 years ago

Combine like terms in the following expression 6 - 5z + 8 - 4z + 1

Mathematics

1 answer:

IRISSAK [1]3 years ago

8 0

Answer:

15-9z

Step-by-step explanation:

combine like terms,, the like terms we have are the terms (z) and the whole numbers so we combine 6,8, and 1-- and combine -5z and -4z to get the solution.

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Answer this I don't know what is can be

slavikrds [6]

The greatest ommon factor is 10

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3 years ago

Read 2 more answers

Mary and Jane both took PSY230 last semester but they were in two different sections taught by different professors. Mary's clas

Greeley [361]

Answer:

Due to the higher z-score, Jane did better in class.

Step-by-step explanation:

Z-score:

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 question:

Whoever's grade had the better z-score did better in class.

Mary's:

Mean of 85, standard deviation of 5, grade of 88. This means that $\mu = 85, \sigma = 5, X = 88$ . So

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

$Z = \frac{88 - 85}{5}$

$Z = 0.6$

Jane's

Mean of 80, standard deviation of 10, grade of 88. This means that $\mu = 80, \sigma = 10, X = 88$ . So

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

$Z = \frac{88 - 80}{10}$

$Z = 0.8$

Due to the higher z-score, Jane did better in class.

4 0

3 years ago

Solve 0.9(x-20)=830

Dmitry [639]

Answer:

942.22

Step-by-step explanation:

0.9(x-20)=830

Distribute .9

.9x -18 =830

Add 18 to each side

.9x -18+18=830+18

.9x = 848

Divide each side by .9

.9x/.9 = 848/.9

x =942.22222222

To the nearest hundredth

942.22

7 0

3 years ago

If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

5 0

3 years ago

A grinding stone completes 175 revolutions before coming to a stop. How many radians did the stone complete

alexandr402 [8]

Answer:

175 * 2 * $\pi$

350 $\pi$ radians

Step-by-step explanation:

8 0

3 years ago