HaLp pLEaSE I NEeD tO GEt ThIS DoNE oR mY mUM WiLl bE MaD ThANkS

Which of the following is most likely the next step in the series?

lilavasa [31]

Answer:

B

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

3 0

2 years ago

The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean

Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

b) 2.28% of the scores are expected to be greater than 700.

c) 30.85% of the scores are expected to be less than 450.

d) 53.28% of the scores are expected to be between 450 and 600.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 500, \sigma = 100$

a. Greater than 600

This is 1 subtracted by the pvalue of Z when X = 600. So

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

$Z = \frac{600 - 500}{100}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% of the scores are expected to be greater than 600.

b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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

$Z = \frac{700 - 500}{100}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of the scores are expected to be greater than 700.

c. Less than 450

Pvalue of Z when X = 450. So

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

$Z = \frac{450 - 500}{100}$

$Z = -0.5$

$Z = -0.5$ has a pvalue of 0.3085.

30.85% of the scores are expected to be less than 450.

d. Between 450 and 600

pvalue of Z when X = 600 subtracted by the pvalue of Z when X = 450. So

X = 600

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

$Z = \frac{600 - 500}{100}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413.

X = 450

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

$Z = \frac{450 - 500}{100}$

$Z = -0.5$

$Z = -0.5$ has a pvalue of 0.3085.

0.8413 - 0.3085 = 0.5328

53.28% of the scores are expected to be between 450 and 600.

6 0

2 years ago

A ball is thrown from an initial height of 2 feet with an initial upward velocity of 18/fts . The ball's height h (in feet) afte

inna [77]

Hello! First insert 6 where the h is located. So we have an equation that looks like the following. $6 = 2 - 18t + 16t^2$

Although you could leave the equation in its original form, I am going to switch it around.
$6 = 2 - 18t + 16t^2$
$16t^2 - 18t + 2 = 6$
Move the 6 to the other side and do the math
$16t^2 - 18t + 2 - 6 = 6 - 6$
$16t^2 - 18t -4 = 0$
Factor and after factoring your T will be as follows
t = $\frac{9}{16} - \frac{\sqrt{145}}{16}$ = -0.1900
t = $\frac{9}{16} + \frac{\sqrt{145}}{16}$ = 1.315

4 0

3 years ago

Between which two numbers is - 15 located on a number line?

sp2606 [1]

Answer:

21

Step-by-step explanation: 10+10+1=21

7 0

2 years ago

The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line.

stich3 [128]

Answer:

Option: D is the correct answer.

The equation of line in point-slope form is given by:

y-9=2(x-1)

Step-by-step explanation:

We know that the point-slope equation of a line is given by:

y-b=m(x-a)

where (a,b) is the point from which the line passes and m is the slope of the line.

Here we are given that:

The line passes through (1,9) and slope of the line is given to be 2.

Hence,

(a,b)=(1,9) and m=2

Hence, the equation of line is given by:

y-9=2(x-1)

Therefore, the point slope intercept equation of the line is: D

3 0

2 years ago