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4 years ago

Multiply. (y- 4z) (4y - 7) Simplify your answer

Mathematics

1 answer:

MrMuchimi4 years ago

5 0

Answer:

4y²-7y+16yz+28z

Step-by-step explanation:

4y²-7y+16yz+28z

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What is the fraction of 35%

Tanzania [10]

Percentage is out of a 100. Therefore, 35/100
Simplify 35/100
Becomes 7/20
Fraction of 35% is 7/20

5 0

4 years ago

Read 2 more answers

I don't know who to get the answer for this problem 3x + 7 = -x -1

Mila [183]

3x + 7 + -x -1

3x + x = -1-7

4x = -8

X = -8/4

= -2

4 0

3 years ago

5 squirrels were found to have an average weight of 8.9 ounces with a sample standard deviation is 0.9. Find the 95% confidence

stira [4]

Answer: ( 8.11 , 9.69)

the 95% confidence interval of the true mean weight

= ( 8.11 , 9.69)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.9

Standard deviation r = 0.9

Number of samples n = 5

Confidence interval = 95%

z(at 95% confidence) = 1.96

Substituting the values we have;

8.9+/-1.96(0.9/√5)

8.9+/-1.96(0.4025)

8.9+/- 0.79

= ( 8.11 , 9.69)

Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)

7 0

3 years ago

The US uses roughly 4.0 million Gigawatt-hours per year in electricity. Currently 50% of out electricity comes from coal. If eve

sergey [27]

4 trillion pounds.

1 gigawatt-hour is equal to 1,000,000 kilowatt-hours.

Out of our 4,000,000 gigawatt-hours, 50% of it comes from coal; this is 2,000,000 gigawatt-hours.

2,000,000(1,000,000) = 2,000,000,000,000 (2 trillion) kilowatt-hours.

Since each kilowatt-hour is 2 lbs of carbon dioxide, 2 trillion * 2 = 4 trillion lbs of carbon dioxide.

4 0

3 years ago

For a data set with a mean of 150 and a standard Deviation of 15, use chebyshev theorem to find the interval of which 75% of the

svp [43]

The Chebychev's theorem states that for any numerical data set,
1.) at least $\frac{3}{4}$ of the data lie within two standard deviations of the mean;
2.) at least $\frac{8}{9}$ of the data lie within three standard deviations of the mean;
3.) at least $1-\frac{1}{k^2}$ of the data lie within k standard deviations of the mean, where k is any positive whole number that is greater than 1.

Thus, given a data set with a mean of 150 and a standard Deviation of 15, 75% of the data represent $\frac{3}{4}$ of the data, and according to Chebychev's theorem, at least $\frac{3}{4}$ of the data lie within two standard deviations of the mean.

Thus, 75% of the data will fall within the interval
$150\pm2(15)=150\pm30=(150-30,\ 150+30)=(120,\ 180)$ .

Therefore, 75% of the data will fall within the interval 120 to 180.

7 0

3 years ago