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zhenek [66]
2 years ago
13

A manufacturing plant earned \$80$80dollar sign, 80 per man-hour of labor when it opened. Each year, the plant earns an addition

al 5\%5%5, percent per man-hour.
Write a function that gives the amount A(t)A(t)A, left parenthesis, t, right parenthesis that the plant earns per man-hour t years after it opens.

Please Help will give brainiest
Mathematics
1 answer:
Ksju [112]2 years ago
4 0

Answer:

80(1+0.06)(1+0.06)(1+0.06)

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How many base pieces 8 1/4 inches long and 8 1/4 inches wide can Mr. Penny cut from a wooden plank 4 1/8 feet long and 4 1/8 fee
podryga [215]

Answer:

36 pieces

Step-by-step explanation:

4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2

8.25 in x 8.25 in = 68.06 in^2

2450.25/68.06 = 36 pieces

checking for scrap loss:

49.5/8.25 = 6

so no scrap loss

3 0
3 years ago
26. Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics
hjlf

The test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Students who take a statistics course are given a pre-test on the concepts and skills for the first chapter of a statistics course.

Then they are given a post-test once the professor has concluded lecturing on the material.

Pre-test and post-test scores for 4 students in an elementary statistics class are given below.

Then we have

\mu _d = \mu _{post} - \mu _{pre}

Then the null hypotheses and alternative hypotheses will be

H₀: \mu _d = 0

Hₐ: \mu _d > 0

Then the test statistic will be

\rm \overline{x} _d = \dfrac{\Sigma x_d}{n} = \dfrac{15+12+10+1}{4}\\\\\overline{x} _d = 9.5

Then

\rm S_d = 6.02

The test statistic value is given by

\rm t = \dfrac{\overline{x} _d }{\dfrac{S_d}{\sqrtn}} \\\\t = \dfrac{9.5}{\dfrac{6.02}{\sqrt4}}\\\\t = 3.16

Since this is a right-tailed test, so the critical value is given by

\rm t_{n-1}(\alpha ) = t_3 (0.05) = 2.353

Since the test statistic value lies to the right of the critical value. So we have sufficient evidence to reject the null hypothesis.

Hence, we can conclude that \mu _d > 0 that is test scores have improved.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

7 0
2 years ago
24. Which measurement is equivalent to 10 g?<br> a. 1 dag<br> b. 1 dg<br> c. 1 cg<br> d. 1 hg
Liono4ka [1.6K]

Answer:

  a.  1 dag

Step-by-step explanation:

The list of SI prefixes is attached. Each has an abbreviation that can be used with the abbreviation for the SI unit of interest.

<h3>Application</h3>

A factor of 10 is signified by the prefix deka-, abbreviated "da". Then 10 grams is 1 dekagram, or 1 dag.

7 0
2 years ago
Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.
ziro4ka [17]
Hello :
the line has same slope : y=3x       3 is the slope
<span> the point-slope form is : 
y-(-12) = 3(x-2)
y+12 = 3(x-2)</span>
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over
Darina [25.2K]

Answer:

\frac{y-x}{x+y}

Step-by-step explanation:

We are given that fraction

\frac{\frac{1}{x}-\frac{1}{y}}{\frac{1}{x}+\frac{1}{y}}

We have to find the expression which is equivalent to given  fraction .

\frac{1}{x}-\frac{1}{y}=\frac{y-x}{xy}

\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}

Substitute the values  then, we get

\frac{\frac{y-x}{xy}}{\frac{y+x}{xy}}

We know that

\frac{\frac{a}{b}}{\frac{x}{y}}=\frac{a}{b}\times \frac{y}{x}

Using the property then, we get

\frac{y-x}{xy}\times \frac{xy}{x+y}

\frac{y-x}{x+y}

This is required expression which is equivalent to given expression.

6 0
3 years ago
Read 2 more answers
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