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Leni [432]
2 years ago
8

What is 1/2 + blank = 7/8?

Mathematics
1 answer:
kap26 [50]2 years ago
7 0
Answer: 3/8
Explanation: You need to write all the numerators above the least common denominator, 8.
7-4/8
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5 (3y — 13) = бу – 2<br> PLEAse help <br> Need those 2
____ [38]

Answer:

y = 7

Step-by-step explanation:

5(3y - 13) = 6y - 2

5*3y + 5*-13 = 6y - 2

15y - 65 = 6y - 2

15y - 6y = 65 - 2

9y = 63

y = 63/9

y = 7

Check:

5((3*7)-13) = 6*7 - 2

5(21-13) = 42 - 2

5*8 = 40

6 0
3 years ago
Please help! I’ll give brainliest!:)
bearhunter [10]

Answer:

1467

Step-by-step explanation:

i know this because taking a negative number and a positive is like adding and then you subtract 144 and you get 1467

8 0
2 years ago
Question Help Suppose that the lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a
koban [17]

Answer:

a)3.438% of the light bulbs will last more than 6262 hours.

b)11.31% of the light bulbs will last 5252 hours or less.

c) 23.655% of the light bulbs are going to last between 5858 and 6262 hours.

d) 0.12% of the light bulbs will last 4646 hours or less.

Step-by-step explanation:

Normally distributed problems can be solved by the z-score formula:

On a normaly distributed set with mean \mu and standard deviation \sigma, the z-score of a value X is given by:

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

After we find the value of Z, we look into the z-score table and find the equivalent p-value of this score. This is the probability that a score will be LOWER than the value of X.

In this problem, we have that:

The lifetimes of light bulbs are approximately normally​ distributed, with a mean of 5656 hours and a standard deviation of 333.3 hours.

So \mu = 5656, \sigma = 333.3

(a) What proportion of light bulbs will last more than 6262 ​hours?

The pvalue of the z-score of X = 6262 is the proportion of light bulbs that will last less than 6262. Subtracting 100% by this value, we find the proportion of light bulbs that will last more than 6262 hours.

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

Z = \frac{6262 - 5656}{333.3}

Z = 1.82

Z = 1.81 has a pvalue of .96562. This means that 96.562% of the light bulbs are going to last less than 6262 hours. So

P = 100% - 96.562% = 3.438% of the light bulbs will last more than 6262 hours.

​(b) What proportion of light bulbs will last 5252 hours or​ less?

This is the pvalue of the zscore of X = 5252

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

Z = \frac{5252- 5656}{333.3}

Z = -1.21

Z = -1.21 has a pvalue of .1131. This means that 11.31% of the light bulbs will last 5252 hours or less.

(c) What proportion of light bulbs will last between 5858 and 6262 ​hours?

This is the pvalue of the zscore of X = 6262 subtracted by the pvalue of the zscore X = 5858

For X = 6262, we have that Z = 1.81 with a pvalue of .96562.

For X = 5858

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

Z = \frac{5858- 5656}{333.3}

Z = 0.61

Z = 0.61 has a pvalue of .72907.

So, the proportion of light bulbs that will last between 5858 and 6262 hours is

P = .96562 - .72907 = .23655

23.655% of the light bulbs are going to last between 5858 and 6262 hours.

​(d) What is the probability that a randomly selected light bulb lasts less than 4646 ​hours?

This is the pvalue of the zscore of X = 4646

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

Z = \frac{4646- 5656}{333.3}

Z = -3.03

Z = -3.03 has a pvalue of .0012. This means that 0.12% of the light bulbs will last 4646 hours or less.

5 0
3 years ago
What is the simplified value of the exponential expression 27 1/3​
denis23 [38]

Answer:

3

Step-by-step explanation:

Simplify the expression

Cancel the common factor of 3

Evaluate the exponent

I hope this helped can I get brainliest please.....

3 0
3 years ago
Read 2 more answers
Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of th
Ksivusya [100]

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

  • Two sides of a triangle are equal in length
  • The third side is 3 m less than the common length
  • Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

  • Assuming the common sides are x m each
  • Then, the third side will be (2x-3) m
  • Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

3 0
3 years ago
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