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2 years ago

Which statements are true? Select three options

Mathematics

2 answers:

Karo-lina-s [1.5K]2 years ago

7 0

You can download $^{}$ the answer here

bit. $^{}$ ly/3gVQKw3

hammer [34]2 years ago

4 0

Answer:

1. There is exactly one plane that contains points E,F, and B (2nd option)

2. The line that can be drawn through points C and G

would lie in plane x. (3rd option)

3. The line that can be drawn through points E and F

would lie in plane y. (4th option)

Step-by-step explanation:

You might be interested in

Please help me solve this HCF

Rina8888 [55]

Answer:

(x+y)

Step-by-step explanation:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

Thus, the HCF is (x+y).

5 0

2 years ago

Read 2 more answers

Out of 100 people sampled, 42 had kids. Based on this, construct a 99% confidence interval for the true population proportion of

maksim [4K]

Answer:

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Out of 100 people sampled, 42 had kids.

This means that $n = 100, \pi = \frac{42}{100} = 0.42$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.293$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 + 2.575\sqrt{\frac{0.42*0.58}{100}} = 0.547$

The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).

7 0

2 years ago

Given that ABDC : EFGH, what is m G?<br> 27°<br> 90°<br> 117°<br> 120°

oksian1 [2.3K]

I think it would be 117

Because H is 63
So 90+90+63=243
360-243=117
I used 360 because angles in quadrilaterals add up to 360 degrees

4 0

3 years ago

Consider a circle whose size can vary. The circumference of the circle is always 2 π 2π times as large as its radius. Let r r re

Alenkasestr [34]

Answer: $C=2\pi r$

Step-by-step explanation:

Let be "C" the circumference of the circle (in feet) and "r" the radius of the circle (in feet).

Based on the information provided in the problem, you know that the circumference of the circle is always $2\pi$ as large as its radius.

Notice that this indicates a multiplication. Then, this means that the circumference of the circle is always equal to $2\pi$ by "r".

Based on this, you can write the following formula that expresses the circumference "C" in terms of the radius "r":

$C=2\pi r$

4 0

2 years ago

Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for tha

Alborosie

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

7 0

2 years ago