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3 years ago

If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?

Mathematics

2 answers:

shusha [124]3 years ago

8 0

The answer will be qx

scZoUnD [109]3 years ago

6 0

Q(p/x)because p/x is the rate so then you you do q times p/x to get the answer.

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Secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40o, arc AB = 60o, and arc BC = 160

s344n2d4d5 [400]

Answer:

C. $130^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc $CD = 40^o$ , arc $AB = 60^o$ , and arc $BC = 160^o$ . We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.

$\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}$

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

$\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})$

$\widehat{AD}=360^{\circ}-(260^{\circ})$

$\widehat{AD}=100^{\circ}$

$\angle AED=\frac{160^{\circ}+100^{\circ}}{2}$

$\angle AED=\frac{260^{\circ}}{2}$

$\angle AED=130^{\circ}$

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

6 0

3 years ago

floodwaters are used to prevent damage from floods. A town built a floodwall 4 4/8 feet tall. Another town built a floodwall 7 1

Sveta_85 [38]

It's basic subtraction. you subtract 7 1/8 with 4 4/8 by turning one of the one from the seven to 8/8 and add that to 1/8 so you get 9/8. Then 6 9/8 - 4 4/8 = 2 5/8.

5 0

3 years ago

the temperature was 15 .it dropped so that the temperature was 0 . what integer represents the change in temperature?

Nataliya [291]

Answer:

if the temperature was at 15 and dropped to zero the amount it changed would be is -15. The integer is -15 because an integer is a whole number and it can also be a negative or positive number it just can not be a fraction

3 0

3 years ago

Which of the following states that if the product of two real numbers is zero,then either of the two is equal to zero or both nu

Lesechka [4]

Answer:

Zero Product Property

Step-by-step explanation:

If you have the following options:

A. Multiplication property

B. Zero product property

C. Identity property

D. Transitive property

3 0

3 years ago

What percentage of babies born in the United States are classified as having a low birthweight (<2500g)? explain how you got

lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

The complete question is: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = birth weights of newborn babies

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 3,500 g

$\sigma$ = standard deviation = 500 g

So, X ~ N( $\mu=3500, \sigma^{2} = 500$ )

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

P(X < 2500 mg) = P( $\frac{X-\mu}{\sigma}$ < $\frac{2500-3500}{500}$ ) = P(Z < -2) = 1 - P(Z $\leq$ 2)

= 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0

3 years ago