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bagirrra123 [75]
3 years ago
11

Find the value of x that will make l and m 7x-7, 4x+14

Mathematics
1 answer:
ohaa [14]3 years ago
6 0
<u><em>Answer:</em></u>
x = 7

<u><em>Explanation:</em></u>
<u>We are given that:</u>
l = 7x - 7
m = 4x + 14

<u>We want to have:</u>
l = m

<u>Therefore, we will simply equate the two equations and solve for x as follows:</u>
7x - 7 = 4x + 14
7x - 7 - 4x = 4x + 14 - 4x
3x - 7 = 14
3x - 7 + 7 = 14 + 7
3x = 21
x = \frac{21}{3}
x = 7

Hope this helps :)
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A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to
kodGreya [7K]

Using the Central Limit Theorem, the correct option is:

(c) Average number of miles put on a rental car per day across 25 customers.

--------------------------

The Central Limit Theorem states that, for a normally distributed variable X, with mean \mu and standard deviation \sigma, the sample means of size m are approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

  • The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
  • Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.

A similar problem is given at brainly.com/question/23088374

5 0
2 years ago
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are rando
notka56 [123]

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, \overline x_1 = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, \overline x_2 = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  \overline x_1 = \overline x_2

The alternative hypothesis, Hₐ:  \overline x_1 ≠ \overline x_2

The pooled variance, S_p^2, is given as follows;

S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}

Therefore, we have;

S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682

The test statistic is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}

Therefore, we have;

t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

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2 years ago
A grocery store manager uses 1/2 crate of apples for every 3/4 crate of oranges in a fruit display. How many crates of will she
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15/4

3 3/4


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3 0
3 years ago
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[1 and [2 are vertical angles. [2 has a measure of 31°. What is the measure of [1?​
horrorfan [7]

Answer:

x+31°=180°

180°-31°=149°

answer

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An electrician charges $40 to come to your house. She also charges $55 for each hour that she works. The electrician charges you
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The answer for this problem is two remainder seven
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