What is the answer for this one? 2x + 3 = 9. x

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B

grin007 [14]

Answer:

D. 46 minutes 12 seconds

Step-by-step explanation:

To find the answer, we need to calculate the least common multiple of 252,308 and 198

252= $2^{2}$ × $3^{2}$ ×7

308= $2^{2}$ ×7×11

198=2× $3^{2}$ ×11

Then least common multiple is

$2^{2}$ × $3^{2}$ ×7×11=2772 seconds

2772 = 46×60 + 12

Therefore 2772 secondsis equal to 46 minutes 12 seconds.

5 0

4 years ago

he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The

Virty [35]

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:

$H_0: \mu = 19$

At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:

$H_1: \mu > 19$

We have the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

Searching the problem on the internet, it is found that the values of the parameters are:

$\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25$

Hence, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}$

$t = 2.07$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of $t^{\ast} = 1.71$

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

To learn more about the t-distribution, you can take a look at brainly.com/question/13873630

3 0

3 years ago

(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B

boyakko [2]

Answer:

The correct option is;

d. Reflecting about the line y = -1, followed by translating 8 units to the right

Step-by-step explanation:

The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)

By reflecting across the line y = -1, we get

A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)

B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)

C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)

By translating 8 units to the right get

A(-4, 3) by translation 8 units right gives A prime (4, -5)

B(-1, 5) by translation 8 units right gives B prime (7, -7)

C(-1, 2) by translation 8 units right gives C prime (7, -4)

Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;

1) Reflection across the line y = -1

2) An horizontal translation 8 units to the right get.

7 0

3 years ago

Read 2 more answers

The coordinates of parallelogram PVWZ are P(0, 0), V(a, b), and Z(c, 0). Find the coordinates of W without using any new variabl

cupoosta [38]

Answer:

Co-ordinates of W must be (c+a,b).

Step-by-step explanation:

We are given that,

PVWZ is a parallelogram with vertices P(0,0), V(a,b) and Z(c,0).

Since, PVWZ is parallelogram.

The possible line segments are PV, VW, WZ and ZP.

Also, as the opposite sides must be parallel for the parallelogram, the co-ordinates will move accordingly.

So, we see from the figure that,

Co-ordinates of W must be (c+a,b).

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

If Sam's present age is x years, what will be his age in years after 20 years from now?

Vitek1552 [10]

It would be x+ 20
explanation: it jus be like that

4 0

3 years ago

What is the answer for this one?2x + 3 = 9. x ​

What is the answer for this one?2x + 3 = 9. x