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3 years ago

What is the arc length of arc CD in the circle below? Radius is 8ft and central angle is 35 degrees

1 answer:

3 0

This depends on the question itself. But I will assume and provide an answer.

If arc CD is made from the central angle intercepting the perimeter of the circle( so if the central angle is CBD, then the arc is from the two endpoints of the angle) that would mean that the arc is 35 degrees. If the two endpoints of the arc are NOT the two points from the angle that lie on the circle, then I cannot provide an answer without a picture.

To sum it up, if the arc begins and ends on the two endpoints of the angle, then it is 35 degrees. Unless it goes the long way around, then it would be 325, but that's unlikely to be the case.

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Given a normal distribution with mu equals 100μ=100 and sigma equals 10 commaσ=10, complete parts (a) through (d). loading...

m_a_m_a [10]

I believe the parts are:

A. What is the probability that Upper X greater than 95X>95?

B. What is the probability that Upper X less than 75X<75?

C.What is the probability that Upper X less than 85X<85 and Upper X greater than 125X>125?

D. 95% of the values are between what two X-values (symmetrically distributed around the mean)?

<u>Solution:</u>

We use the equation for z score:

z = (X – μ) / σ

Then use the standard normal probability tables to locate for the value of P at indicated z score value.

A. Z = (95 – 100) / 10 = - 0.5

Using the tables, the probability at z = -0.5 using right tailed test is:

P = 0.6915

B. Z = (75 – 100) / 10 = - 2.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0062

C. Z = (85 – 100) / 10 = - 1.5

Using the tables, the probability at z = -2.5 using left tailed test is:

P = 0.0668

Z = (125 – 100) / 10 = 2.5

Using the tables, the probability at z = 2.5 using right tailed test is:

P = 0.0062

So the probability that 85<X and X>125 is:

P(total) = 0.0668 + 0.0062

P(total) = 0.073

D. P(left) = 0.025, Z = -1.96

P(right) = 0.975, Z = 1.96

The X’s are calculated using the formula:

X = σz + μ

At Z = -1.96

X = 10 (-1.96) + 100 = 80.4

At Z = 1.96

X = 10 (1.96) + 100 = 119.6

<span>So 95% of the values are between 80.4 and 119.6 (80.4< X <119.6).</span>

7 0

3 years ago

A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meter

Murljashka [212]

The word in the problem that indicates that a negative sign should be used is "descend"

<h3></h3><h3>How many meters did he descend?</h3>

We know that he stops for water breaks four times, and between each water break, he descends 15 meters.

The written equation is:

4*(-15)m = -60m

Why the negative sign is used?

The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"

If you want to learn more about signs:

brainly.com/question/5870782

#SPJ1

7 0

1 year ago

Solve the equation 2(x-10)= 24 , what is the value of x

N76 [4]

Answer:

$x=22$