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lana [24]
2 years ago
13

The diameter of the circle is 10 units what is the radius of the circle

Mathematics
1 answer:
gayaneshka [121]2 years ago
4 0

Answer:

Radius is 5 units

Step-by-step explanation:

The radius of a circle will always be 1/2 of the diameter.

This gives the formula:

r=\frac{d}{2}

(substitute known values)

r=\frac{10}{2}

(divide 10 by 2)

r=5

Therefore the radius is five

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
May someone help me with this equation, please <br> 95=20x + 5
arsen [322]

Answer:

The answer is 9/2 or decimal form is 4.5 i gave you the work in the screenshot below hope it helps :)

Step-by-step explanation:

6 0
2 years ago
Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8
kolezko [41]

Answer:

Solution By Gauss jordan elimination method

x = 3, y = 2 and z = 4

6 0
2 years ago
Help help help math math
solniwko [45]

Answer:

y=-1/2x-3

Step-by-step explanation:

Let's pick two points for slope.

\frac{-1+3}{-4-0}

\frac{2}{-4}

For the y-inctercept, the line intersect at the y-axis at (0,-3)

CHECK:

y=-\frac{1}{2} (-4)-3

y=2-3

y=-1

6 0
2 years ago
Find the area of the shape shown below.
sveticcg [70]

Answer:

A = 15u²

Step-by-step explanation:

Area of a Trapezoid Formula:

\frac{h}{2}*(b_1+b_2)

Plug in our values (h = 3, b1 =  7, b2 = 3)

\frac{3}{2}*(7+3)

Now we evaluate

\frac{3}{2}*(10)

\frac{30}{2} = 15

6 0
2 years ago
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