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3 years ago

What is -(-4/9) * (-1/7)

Mathematics

1 answer:

stepan [7]3 years ago

4 0

Answer:

−4/63

Step-by-step explanation:

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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75. What value

steposvetlana [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Expand & simplify 6(3x+3)−3(4x−2)

____ [38]

6(3+3)−3(4−2)

Distribute

18+18−3(4−2)

Distribute

18+18−12+6

Add the Numbers

18+24−12|

Combine like Terms

Your Solution: 6+24

5 0

3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sa

melisa1 [442]

Answer:

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

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:

$\alpha = \frac{1-0.9}{2} = 0.05$

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 $1-0.05 = 0.95$ , so $z = 1.645$

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.

In this question:

We need a sample size of at least n.

n is found when M = 3. We have that $\sigma = 18$ .

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

$3 = 1.645*\frac{18}{\sqrt{n}}$

$3\sqrt{n} = 1.645*18$

Simplifying by 3

$\sqrt{n} = 1.645*6$

$(\sqrt{n})^{2} = (1.645*6)^{2}$

$n = 97.41$

Rounding up,

At least 98 people need to be sampled. It is not a huge number, that is, it is not difficult to sample 98 people, so it is a reasonable sample size for a real world calculation.

8 0

3 years ago

I need help fast with this! please (14 points)

sveta [45]

Answer:

Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,

Part 2 : Value of x ⇒ 45°,

Part 3 : Measure of Angle U ⇒ 126°

Step-by-step explanation:

~ Part 1 ~

We know that ∑ of angles in a triangle is 180;

m∠ U + m∠ V + m∠ W = 180°,

Equation: ( 3x - 9 ) + 30 + 24 = 180

~ Part 2 ~

Now let us simplify the equation above to solve for x;

3x - 9 + 30 + 24 = 180,

3x - 9 = 126,

3x = 135,

x = 45 degrees ( ° ) ⇒

Value of x ⇒ 45°

~ Part 3 ~

If it is known that m∠ U ⇒ 3x - 9;

m∠ U = 3 * ( 45 ) - 9,

m∠ U = 135 - 9,

m∠ U = 126 degrees ( ° ) ⇒

Measure of Angle U ⇒ 126°

6 0

4 years ago

10 points

Llana [10]

The correct answer is 4

3 0

4 years ago