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2 years ago

What 0.008 is 1/100 of

Mathematics

1 answer:

olga55 [171]2 years ago

5 0

Answer:

0.8

Step-by-step explanation:

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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

4 0

3 years ago

Point b is between points a and C. AB=2x+5 and BC=5x-1. What is the length of AB

telo118 [61]

Answer: AB = 9

Step-by-step explanation:

Since B is the midpoint, AB and BC must be congruent (since theyre both half of the segment). The equation is:

2x + 5 = 5x - 1

This means x = 2, meaning AB is 9.

7 0

3 years ago

Suppose a researcher is conducting a hypothesis test for a mean and finds a test statistic of z=2.3z=2.3 . Which of the choices

Galina-37 [17]

Answer:

Option c. The result is significant at the 0.020.02 level.

Step-by-step explanation:

We are given the following in the question:

We are conducting a one tailed hypothesis test with alternate hypothesis

$H_A: \mu > \mu_0$

The z test calculated for the same is

z=2.3

We calculate the p-value from the standard normal table.

p value = 0.010724 at 0.05 significance level.

The result is significant

p value = 0.010724 at 0.01 significance level.

The result is not significant

p value = 0.010724 at 0.02 significance level.

The result is significant at 0.02 significance level.

Thus, the correct answer is

Option c. The result is significant at the 0.020.02 level.

3 0

3 years ago

Sara measures and finds that she can do a vertical jump that is 27% of her height. If she is 63 inches tall, how high (in inches

Tresset [83]

Answer:

sara can jump 17.01 inches high

Step-by-step explanation:

0.27×63=17.01

8 0

3 years ago

The expression √93 is in between two whole numbers. Write the two numbers with a comma and a space in between

nalin [4]

Answer:

9, 10

Step-by-step explanation:

square root of √93 is 9.64.

Thus, we see that the number 9.64 is greater than but less than 10.

On number line it can be represented as

-∞ _____________7___8___9__9.64___10___11_______+∞

Thus, we see that the two whole numbers between which √93 lies is 9, 10

5 0

3 years ago