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Whitepunk [10]
2 years ago
15

Simplify this algebraic expression completely 5y - 3(y+2)

Mathematics
1 answer:
Umnica [9.8K]2 years ago
4 0

Answer: 2y - 6

Step-by-step explanation:

This problem utilizes the Distributive Property of Multiplication.  It states that: a(x + y) = ax + ay.

Thus, utilizing this property (distributing -3), change the equation into:

5y - 3y - 6

Then, simply combine like terms to get:

2y - 6

Hope it helps :) and let me know if you want me to elaborate.

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annie adds 2 spoonfuls of sugar to her tea and sophie adds 3 spoonfuls to her tea. If one spoonful is 4 grams of sugar and a a c
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240%

Step-by-step explanation:

if there is 240 grams  then you just put a percent sing but are you asking What is the percentage of sugar in each cup? by spoons?

3 0
3 years ago
9x+9y=9. Solve for Y
Alja [10]

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9 ( divide through by 9 )

x + y = 1 ( subtract x from both sides )

y = 1 - x

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2 years ago
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___<br>H is the midpoint of IJ and IH = 0.75 find HJ<br>​
insens350 [35]
The answer is 1.5 bc 0.75 times 2 since it’s the midpoint
3 0
2 years ago
Which of the following is less than 7/8 and greater than 1/3
Rudiy27
1/2, 2/3, 3/4, 4/5,
7 0
3 years ago
A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

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 = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

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

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

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

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0
3 years ago
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