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3 years ago

Is the first quartile 12

Mathematics

1 answer:

timama [110]3 years ago

3 0

No I believe its median because it tells you measures of the center

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A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3

8_murik_8 [283]

Answer:

Step-by-step explanation:

Let x be the wait times before a call is answered in phone calls.

The claim is x bar <3.3 minutes

Sample size n =62

Sample mean - x bar = 3.24 minutes

Population std dev = $\sigma = 0.40 minutes\\$

Since population std dev is known and also sample size is sufficiently large, we can use Z test.

$H_0: x bar = 3.3\\H_a: x bar$

(one tailed test)

Mean difference = 3.24-3.3 = -0.06 min

Std error of sample = $\frac{\sigma}{\sqrt{n} } =\frac{0.40}{\sqrt{62} } \\=0.0508$

Z = tset statistic = $\frac{-006}{0.0508} \\\\=-1.18$

p value = 0.119

Since p value > alpha, we accept null hypothesis.

There is no evidence to support the claim at alpha = 0.08

3 0

3 years ago

Name the postulate or theorem you can use to prove the triangles congruent.

Maru [420]

Answer:

You can use the ASA Postulate to prove the Angle-Angle-Side Congruence Theorem. A flow proof is shown below. If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

Step-by-step explanation:

Hope it helps! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

3 0

3 years ago

Each side of a square is 4 inches. Four circles of equal area are inscribed (constructed inside the square). Find the exact area

Darya [45]

In order to find the area of the area outside the circles and inside the square, you need the area of the square minus the area of all the circles.

I assume you know the area of the square (s^2= 4^2 = 16 square inches). But the area of the circles is tricky.

The area of a circle is pi times r squared
$\pi \times r ^{2}$
So you need the radius. Knowing the side length is four inches and that two circles span one side length (as in the picture), you can divide the side length by two to get the diameter of one circle. Then divide that by two again to get the radius. Ultimately the radius is one.

The area using the circle area equation is ultimately just pi. However, with four circles you need to multiply this by four to get four pi.

So, 16-4pi is approximately 3.44 inches squared is the answer.

6 0

3 years ago

Chris puts eight marbles of different colors in a bag to use for a random drawing. He draws a marble from the bag without lookin

icang [17]

Answer:

12.5

Step-by-step explanation:

Dividing 100/8, we find that there is a 12.5% chance of any colored marble being picked.

Good luck! Hope this helps!

7 0

3 years ago

how many fewer minutes would it take the driver to travel a distance of 10 miles at a speed of 65 miles per hour than at a speed

hammer [34]

65 miles per hour divided by 60 minutes is 1.08 miles a minute.
10 miles divided by 1.08 is 9.26 minutes rounded to 9

50 miles per hour divided by 60 minutes is .83 miles per minute.
10 miles divided by .83 is 12.04 minutes rounded to 12

12 - 9 = 3 fewer minutes

3 0

4 years ago