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Katena32 [7]
3 years ago
11

Help plz it’s Liberal Arts mathematics

Mathematics
1 answer:
gregori [183]3 years ago
7 0

For #6, x=-3, add 4 to both sides, divide by 2. #7 is 8, #8 is 3, #9 is 3, #10 is -5.

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Rick traveled 23 of the way from his parents' house to his college dorm. He has driven 294 miles. What is the total distance bet
dimulka [17.4K]

Answer:

441 miles

Step-by-step explanation:

Rick traveled \frac{2}{3} of the way from his parents' house to his college dorm. He has driven 294 miles.

This means that

\dfrac{2}{3} \text{ of the way is } 294 \text{ miles}

Then

\dfrac{1}{3} \text{ of the way is } 294\div 2=147 \text{ miles}

and

\dfrac{3}{3} \text{ of the way is } 294+147=441 \text{ miles}

6 0
2 years ago
Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on pr
Fed [463]

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

n_1 = 25

n_2 = 21

s_1 = 0.98

s_2 = 1.02

\alpha = 0.02

Required

Determine if here is enough evidence

First, we need to state the hypotheses

H_o: \sigma_1^2 = \sigma_2^2

H_1: \sigma_1^2 \ne \sigma_2^2

Next, calculate the test statistic using:

F = \frac{s_1^2}{s_2^2}

F = \frac{0.98^2}{1.02^2}

F = 0.923

Calculate the rejection region;

But first, calculate the degrees of freedom

df_1 =n_1 - 1

df_1 =25 - 1

df_1 =24

df_2 = n_2 -1

df_2 = 21 - 1

df_2 = 20

Using the F Distribution:  table

c = \frac{\alpha}{2}

c = \frac{0.02}{2}

c = 0.01

At 0.01 level (check row 20 and column 24), the critical value is:

<em></em>f_{0.01,24,20} = 2.86<em> --- the upper bound</em>

At 0.01 level (check row 24 and column 20), the critical value is:

f_{0.01,20,24} = 2.74

Calculate the inverse F distribution.

f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365 ---- the lower bound

The rejection region is then represented as:

0.365 < Test\ Statistic < 2.86

If the test statistic falls within this region, then the null hypothesis is rejected

F = 0.923 --- Test Statistic

0.365 < 0.923 < 2.86

<em>The above inequality is true; so, the null hypothesis is rejected.</em>

<em>This implies that, there is no sufficient evidence.</em>

7 0
3 years ago
Simplify the expression.
notsponge [240]
The answer is 2k^2 - 7k - 4 because 2k x k is 2k^2 and 2k x (-4) is -8k and 1 x k is k and 1 x (-4) is -4. So then you would get 2k^2 - 8k + k - 4 which simplifies to 2k^2 - 7k - 4 which is your answer.
8 0
3 years ago
Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d
Anarel [89]

Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

x = \frac{18}{9}

x = 2

Number of gold medal = 2 × 2

                                      = 4

Number of silver medal = 4 × 2

                                       = 8

Number of bronze medal = 3 × 2

                                           = 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

3 0
3 years ago
4.5/5.5 simplified ? thanks!
Scrat [10]

Answer:

Step-by-step explanation:

You can multiply the numerator and denominator by 2

(4.5/5.5)(2/2)=9/11

6 0
3 years ago
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