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Alexandra [31]
3 years ago
8

Kelly scored 56.73 points and Karen scored 74.92 points on an exam. How many points less did Kelly score than Karen?

Mathematics
1 answer:
Kamila [148]3 years ago
4 0
Kelly scored 22.21 points less than karen
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Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continu
gtnhenbr [62]

Given:

Total number of problems = 24

Michael completed \dfrac{1}{4} of his homework in \dfrac{3}{4} of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in \dfrac{3}{4} of an hour =\dfrac{1}{4}

Part of work done in an hour =\dfrac{4}{3}\times \dfrac{1}{4}

                                                =\dfrac{1}{3}

Therefore, he complete \dfrac{1}{3} of his homework in 1 hour. Hence, all options are incorrect.

3 0
2 years ago
Which expression represents the employees take home pay after deductions
Juliette [100K]

The expression 0.15(x-350) would be the proper equation.

7 0
3 years ago
I NEED HELP!!NOW PLS
Luba_88 [7]

Answer:

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe
kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0
3 years ago
What is the answer to the problem
vovikov84 [41]

Answer: 6

Step-by-step explanation: DE is 4+2 so EF would be the same if it is equal.

3 0
3 years ago
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