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3 years ago

Which statement best describes a radius of a circle?

1 answer:

8 0

It is a line that intersects the circle at exactly two points on the diameter

Reasons.
A radius cannot be defined as a segment because a segment does not go through the center of the circle. A radius also does not touch two parts of a circle.

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The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the w

PolarNik [594]

Answer:

- 3x+3x+x+x=16

Step-by-step explanation:

7 0

4 years ago

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

The question is incomplete. The complete question is:

"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

The estimated standard error of the difference between means is computed using the formula:

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago

Write the standard equation of each circle Center (-2,-8); r=4

e-lub [12.9K]

(x - h)^2 + (y -k)^2 = r^2
(h,k) is the center and r is the radius.
(x + 2)^2 + (y + 8)^2 = 16

3 0

4 years ago

Write the equation in slope intercept form when slope = 6/5 and the y- intercept =-8

Ratling [72]

Step-by-step explanation:

Exercícios:

9. Sobre o estudo de equações, escreva V para as afirmações verdadeiras e F para as falsas.

a) ( ) A expressão 17 - 4x + 25 representa uma equação.

b) ( ) O número 23 representa um dos membros da equação -9x + 4 = 23.

c) ( ) Na equação x + 4 = 3x + 20, a incógnita é x.

d) ( ) A equação 3y - 15 = 0 não tem segundo membro.

7 0

3 years ago

Please Help Factor the polynomial: x^3 + 3x - 2x - 6

madreJ [45]

Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

6 0

2 years ago