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Lapatulllka [165]
2 years ago
9

UV

Mathematics
1 answer:
marshall27 [118]2 years ago
8 0

Answer: Transitive property of equality

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Which equation represents a circle with a center at (2, –8) and a radius of 11? (x – 8)2 + (y + 2)2 = 11 (x – 2)² + (y + 8)² = 1
lawyer [7]

Answer:The answer B: (x – 2)² + (y + 8)² = 121

Step-by-step explanation:

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4 0
3 years ago
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In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

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2 years ago
joan counted that 2/10 of her jelly beans were red. Dean counted that 6/10 of his jelly beans were red. Hiw much greater a fract
ch4aika [34]
If you take the 6 and subtract it by 2 you will get 4
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3 years ago
What is the value of the x variable in the solution to the following system of equations?
harkovskaia [24]
Its A. x=4

procedure: 3*equation1 - 2*equation2 ⇒ x=4
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3 years ago
Math help please Let f(x)=x2+5 and g (x)=3x+4; find (g o f)(7); (g o f)(7)=; help me solve!! Please!
lorasvet [3.4K]

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

<span />

(fog)(x) = f(g(x)

             = f(x+3)

               = 2(x+3)

               = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

            = g(2x)

           = 2x + 3

==> <span>(gof)(x) = 2x + 3</span>

5 0
3 years ago
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