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3 years ago

Simplify

Mathematics

1 answer:

UNO [17]3 years ago

3 0

Answer:

3x²(y-1)

Step-by-step explanation:

Rewrite the expression as 5x²y+4x²y-6x²y-3x². Combining like terms, we get 3x²y-3x². Now, we can factor out 3x² to get 3x²(y-1)

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Find the square of the leg b of this right triangle: a=2b, c=10

Pepsi [2]

A² + b² = c²

a = 2b, c = 10

(2b)² + b² = 10²

4b² + b² =100

5b² = 100

b² = 100 ÷ 5

b² = 20

Answer: 20

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3 years ago

Jose pays 8 payments of $4 each to a game store. He returns one game and receives $20 back. What is the change to the amount of

Katyanochek1 [597]

Answer:

the answer would be -12

Step-by-step explanation:

32- 20=12

The change to the amount of money he has is -$12 because

she has $12 less than she started with

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3 years ago

How many invitations should Tyler make each day if his goal is 122 and he already made 66 and he wants to finish in a week

xxMikexx [17]

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

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3 years ago

What are the values of x and y?<br> Figure and answers shown below.

pshichka [43]

Answer:

C) x = 8√3 ; y = 4√3

Step-by-step explanation:

In this figure, the triangle is 30°-60° right triangle.

So x/12= 2/√3, y/12 = 1/√3

4 0

2 years ago

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We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confid

inessss [21]

Answer:

The 95% confidence interval for the population mean is between 25.86 and 28.14.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{3.5}{\sqrt{36}} = 1.14$

The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86

The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14

The 95% confidence interval for the population mean is between 25.86 and 28.14.

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3 years ago

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