All categories

3 years ago

If QRST is a rectangle with QT = 30 and RS = 4x + 10, find x.

1 answer:

4 0

The opposite side pairs in a rectangle are congruent, so basically QT would be congruent to RS when you draw the rectangle and label the points.
4x+10=30
4x=20
x=5

You might be interested in

What is 4(x−2+y)? I need help.

stepladder [879]

4x+4y-8

Hope this helps!

7 0

3 years ago

For the function f(x)=3x−4 , what is the ordered pair for the point on the graph when x=6 ? Show work for full credit.

Ksivusya [100]

To find the ordered pair, we simply set the x value equal to 6.

We already know the first coordinate will be 6.

f(6) = 3(6) - 4

f(6) = 18 - 4

f(6) = 14

<h3><u>The y value is 14, and so our coordinate pair is (6, 14)</u></h3>

8 0

3 years ago

Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply

Serga [27]

Answer:

(-2,-2) and (3,4)

Step-by-step explanation:

Edge 2020

7 0

3 years ago

Read 2 more answers

Which of the following is a solution of 4x^2=-9x-4

NeTakaya

Answer:

(-9+√17)/8

Step-by-step explanation:

its an example of quadratic

4 0

3 years ago

Suppose that scores on the mathematics part of a test for eighth-grade students follow a Normal distribution with standard devia

riadik2000 [5.3K]

Answer:

We need an SRS of scores of at least 153.

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 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.

How large an SRS of scores must you choose?

This is at least n, in which n is found when $M = 20, \sigma = 150$ . So

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

$20 = 1.645*\frac{150}{\sqrt{n}}$

$20\sqrt{n} = 1.645*150$

$\sqrt{n} = \frac{1.645*150}{20}$

$\sqrt{n} = 12.3375$

$(\sqrt{n})^{2} = (12.3375)^{2}$

$n = 152.2$

Rounding to the next whole number, 153

We need an SRS of scores of at least 153.

8 0

3 years ago