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Finger [1]
4 years ago
7

After working for 25 hours, Lamar made $375. After working for 40, Lamar made $600. Predict how much he would make after 10 hour

s of work.
Mathematics
2 answers:
patriot [66]4 years ago
8 0

Answer:

$150

Step-by-step explanation:

Given: After working for 25 hours, Lamar made $375. After working for 40, Lamar made $600.

To Find: how much he would make after 10 hours of work.

Solution:

Money made by Lamar after working for 25\text{hours}=\$375

Money made by Lamar after working for 40\text{hours}=\$600

Money made by Lamar in 15\text{hours}=\text{Amount made by working for 40 hours}-\text{Amount made by working for 25 hours}

                                            \$600-\$375

                                            \$225

money made by Lamar by working for 15\text{hour}=\$225

money made by Lamar by working for 1\text{hour}=\frac{\text{Money made in 15 hours}}{\text{total time}}

                                                       \frac{\$225}{15}

                                                       \$15

Therefore Money made by Lamar by working for 10\text{hour}=\text{money made by Lamar for working 1 hour}\times10\text{hour}

                             10\times15

                             \$150

Lamar would make \$150 after 10 hours of work

Artemon [7]4 years ago
7 0
After 10 hours of work Lamar will make $150
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Step-by-step explanation:

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3 years ago
Which graph represents the solution set to this system of equations? y = –1 2 x + 3 and y = 1 2 x - 1 On a coordinate plane, a l
vivado [14]

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, negative 1) and (2, 0).

Step-by-step explanation:

Given that the system of equations are:

y = –1 /2 x + 3 and y = 1 /2 x - 1

Let us first try the first option

On a coordinate plane, a line goes through (- 4, 1) and (0, 3) and another line goes through (-2, - 2) and (0,- 1)

The slope M1 = (3-1)/(0--4) = 2/4 = 1/2

The calculated slope is positive. But the slope of the first equation is negative. So we ignore the first option.

The next option that makes sense is the last option. That is

On a coordinate plane, a line goes through (0, 3) and (2, 2) and another line goes through (0, -1) and (2, 0). So let also try it by calculating the two slopes

M1 = (2-3)/(2-0) = -1/2 ( perfect)

M2 = (0- -1)/(2-0) = 1/2 (perfect)

Because, from the two equations

y = –1 /2 x + 3 and y = 1 /2 x - 1

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4 0
4 years ago
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6 0
4 years ago
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2,6, 18,... Find the 8th term.
Andrei [34K]

Answer:

4,374

Explanation:

Given the sequence: 2, 6, 18, ...

If we study the pattern we observe that:

\begin{gathered} \frac{6}{2}=3 \\ \frac{18}{6}=3 \end{gathered}

This is a geometric sequence with:

• The first term, a=2

,

• Common Ratio, r=3

The nth term of a geometric sequence is obtained using the formula:

U_n=ar^{n-1}

Therefore, the 8th term will be:

\begin{gathered} U_8=2\times3^{8-1} \\ =2\times3^7 \\ =4374 \end{gathered}

The 8th term of the sequence is 4,374.

4 0
2 years ago
SunDrop Candies Inc claims that their 3 ounce bag of candies contains over 90 pieces of candy.
nlexa [21]

Answer:

a) X~N(μ;σ²)

b) [87.695 ; 89.464]

c) and d) check the explanation below

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the claim of the company is correct and the 3-ounce bags of candies contain over 90 pieces of candy.

For this, a sample of 26 bags was taken and the number of candies per bag was counted.

The study variable is X: number of candy pieces in a 3 ounces bag.

a)

Using the sample data I've made a Shapiro-Wilks test,

H₀: X has a normal distribution

H₁: X doesn't have a normal distribution

α: 0.05

p-value: 0.5675

Since the p-value is greater than the significance level, we can assume that the study variable has normal distribution:

X~N(μ;σ²)

b)

To make this confidence interval, considering I only have sample data, I choose to use the Student t statistic.

Sample mean X[bar]= 88.58

Sample standard deviation S= 2.19

t_{n-1;1-\alpha/2} = t_{25;0.975} = 2.060

The formula for the interval is:

X[bar] ± t_{n-1;1-\alpha/2} * (S/√n)

88.58 ± 2.060 * (2.19/√26)

[87.695 ; 89.464]

c)

With a confidence level of 95%, you'd expect that the interval [87.69; 89.46] contains the value of the population mean of the number of candy pieces in a 3 ounces bag.

d)

The SunDrop Candies' claim is that their 3 ounces bag contains over 90 pieces of candy. Symbolically: μ > 90

Since their claim would lead to a one-tailed hypothesis test and the calculated confidence interval is two-tailed, you cannot use it to decide whether or not the company's claim is true. But, seeing as the two bonds of the interval are below 90 you could think that the company's claim is not correct. Of course this is just an idea, you must perform a statistical test to test if the company is wrong or not and, of course, have a statistical backing of your conclusions.

I hope it helps!

6 0
3 years ago
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