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3 years ago

Which of the following statements are true about the function y = 3x?

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

I believe the answer is The constant of variation is y is 6 when x is 2.

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In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0

3 years ago

Graph the function and find the range

kramer

The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.

The range (y-values where the graph exists) is [-5]∪[0, infinity)

6 0

3 years ago

what are the missing numbers?

crimeas [40]

Given:

The table of values of an exponential function.

To find:

The missing values in the exponential function.

Solution:

The general exponential function is defined as:

$y=a(b)^x$ ...(i)

Where, a is the initial value and b is the growth factor.

First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).

$10=a(b)^1$ ...(ii)

Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).

$20=a(b)^2$ ...(iii)

Dividing (iii) by (ii), we get

$\dfrac{20}{10}=\dfrac{a(b)^2}{ab}$

$2=b$

Putting $b=2$ in (ii), we get

$10=a(2)^1$

$\dfrac{10}{2}=a$

$5=a$

Putting $a=5,b=2$ in (i), we get

$y=5(2)^x$

The required exponential function for the given table of values is $y=5(2)^x$ . So, the missing values are 2 and x, where 2 is in the base and x is in the power.

8 0

3 years ago

Simplify the expression<br> 26 · 268

Gre4nikov [31]

Answer:

$26 * 26^8 = 5.4295037e+12.$

Step-by-step explanation:

$26^8 = 208,827,064,576.\\26 * 208,827,064,576 = 5.42950373e+12.$

hope this helps.

6 0

3 years ago

Which term is used to describe how light is reflected from a minerals surface

pantera1 [17]

Answer:

Luster describes the reflection of light off a mineral's surface. Mineralogists have special terms to describe luster. Minerals that are opaque and shiny, such as pyrite, have a metallic luster.

Step-by-step explanation:

5 0

3 years ago