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3 years ago

Evaluting Algebraic Expressions

1 answer:

6 0

1. 3n + 4
3(6) + 4
18 + 4
22

2. N/2 - 1
6/2 - 1
3 - 1
2

3. 15 - n
15 - 6
9

4. n² - 5
6² - 5
36 - 5
31

5. 9(N-2)
9(6-2)
9(4)
36

6. 4n / 3+1
4(6) / 4
24 / 4
6

7. 2(18-n)
2(18 - 6)
2(12)
24

Hope this helped!! If you liked my answer, please mark me as brainliest. Thank you! :9

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Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist

tigry1 [53]

Answer:

$df=n-1=49-1=48$

We know that the p value is 0.1, and since is a left tailed test would be given by:

$p_v = P(t_{48} < t_{calculated})=0.1$

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is $t_{calculated}=-1.29944$

Step-by-step explanation:

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu $\mu_o$ , the system of hypothesis would be:

Null hypothesis: $\mu \geq \mu_o$

Alternative hypothesis: $\mu < \mu_o$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can find the degrees of freedom for this test given by:

$df=n-1=49-1=48$

We know that the p value is 0.1, and since is a left tailed test would be given by:

$p_v = P(t_{48} < t_{calculated})=0.1$

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is $t_{calculated}=-1.29944$

3 0

2 years ago

What is 3 3/5 ÷ 1 4/5 =

Marysya12 [62]

Answer:

Step-by-step explanation:

3 3/5 : 1 4/5= 2/1 = 2

8 0

3 years ago

Read 2 more answers

A straight line, L, is perpendicular to the straight line y=2x-1 and passes through the point (8,1). Find an equation of L

luda_lava [24]

Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.

Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)

Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.

y = mx + b
y = -1/2x + b

Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.

$\boxed{y=-\frac{1}2x+5}$

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2 years ago

How many fluid ounces are there in 8 pints 5 cups?

tankabanditka [31]

Answer is C. 168 fluid ounces

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3 years ago

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Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe

Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = $2.3\times 20 + 3\times 10$ =$76

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2 years ago