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4 years ago

The table of values represents the function g(x) and the graph shows the function f(x).

Mathematics

1 answer:

Sever21 [200]4 years ago

8 0

1) Maximum value of g(x) is 4, max value of f(x)=2
So, The maximum value of g(x) is greater than the maximum value of
f(x). True
2) For f(x) y(int)=-1; for g(x), y(int) is g(0)=3,
So f(x) has a greater y-intercept than g(x) is False
3) x intercepts when function is equal "0"
For g(x) we can see g)x)=0, 2 times.
For f(x) we can see 2 x-intercepts.
So, g(x) has fewer x-intercepts than f(x). False
4) x- intercepts for f(x) are f(1)=0, f(5)=0
 x- intercepts for g(x) areg(-3)=0, g(5)=0
So, f(x) and g(x) have a common x-intercept. True

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

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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

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3 years ago

I need help pleaseee any question answers

MArishka [77]

I wrote it out for you

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4 years ago

Two liquids Kaylin mixed two liquids for science experiment one container had 7/8 Cup and the other health 9/10 cup what is the

seraphim [82]

Answer:

Step-by-step explanation:

Step 1: Determine quantity per liquid

liquid 1=7/8 cup

liquid 2=9/10 cup

Step 2: Derive expression to calculate total amount of mixture

The expression below can be derived;

T=a+b

where;

T=total amount of mixture

a=total amount of liquid 1

b=total amount of liquid 2

In our case;

a=7/8 cup

b=9/10 cup

replacing;

T=(7/8)+(9/10)=1 31/40 cups

The total amount of mixture=1 31/40 cups

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Read 2 more answers

The table of values represents the function ​​ g(x) and the graph shows the function ​f(x)​.

The table of values represents the function g(x) and the graph shows the function f(x).