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hammer [34]
3 years ago
14

Distance formula for (3,-2) and (5,-3)

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

d = 2.2

Step-by-step explanation:

Using the distance formula, you would plug in the numbers into the equation. d = √(5 - 3)^2 + ( -3 + 2)^2. So (5 - 3) is 2, and (-3 + 2) is -1. Then square both of the answers, and the equation becomes, d = √4 + 1. And that equals 5, so then you would find the square root, which would be approximately 2.2

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Determine the volume of a sphere with a great circle of radius 12 cm.
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Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

5 0
3 years ago
A spinner is divided into 3 equal sections shaded blue, green and orange. Brody spins the spinner. If he spins the spinner 300 t
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Answer:

100 spings to make it blue

Step-by-step explanation:

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Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U
kow [346]

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

7 0
3 years ago
Antonio had his hair cut at the salon. After he returned home, he realized he had accidentally tipped the stylist 114% of the co
stepan [7]
=>C

1.14*20.95=23.883
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3 years ago
The scale on a map is 2cm= 1km. Express this as a ratio
Lemur [1.5K]
This would mean that the ratio is 2:1 or 2 to 1 or also 2/1.

The ratio would be that because it's 2 centimeters per 1 kilometer.
7 0
3 years ago
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