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MrRissso [65]
2 years ago
9

This equation needs to be solved

Mathematics
2 answers:
ella [17]2 years ago
6 0
-28n - 4 + 2n - 8 = 66

-26n - 12 = 66

-26n = 78

n = -3
velikii [3]2 years ago
3 0

66 = -4(7n + 1) + 2(n - 4)

  • Distribute -4 inside the parentheses.

66 = -28n - 4 + 2(n - 4)

  • Distribute 2 inside the parentheses.

66 = -28n - 4 + 2n - 8

  • Combine like terms.

66 = -26n - 12

  • Add 12 to both sides.

78 = -26n

  • Divide both sides by -26.

n = -3

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A manufacturer of metal fasteners expects to ship an average of 1197.00 boxes of fasteners per day. A random sample of 24 days p
lana66690 [7]

Answer:

The p-value obtained is less than the significance level at which the test was performed, hence, we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Step-by-step explanation:

For hypothesis testing, we first clearly state our null and alternative hypothesis.

The null hypothesis is that there is no evidence showing that the average number of boxes shipped per day is different from 1197.00. That is, there is no significant difference between the number of boxes shipped per day and 1197.00

And the alternative hypothesis is that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Mathematically, the null hypothesis is

H₀: μ₀ = 1197.00

The alternative hypothesis is

Hₐ: μ₀ ≠ 1197.00

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ₀)/σₓ

x = sample mean = 1193.69 boxes per day

μ₀ = standard that we're comparing the sample mean with = 1197.00

σₓ = standard error of the sample mean

= (σ/√n)

where n = Sample size = 24 days

σ = standard deviation of the sample = 3.3166 boxes per day

σₓ = (3.3166/√24) = 0.677

t = (1193.69 - 1197) ÷ 0.677

t = -4.89

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 24 - 1 = 23

Significance level = 0.05

p-value (for t = -4.89, at 0.05 significance level, with a two tailed condition) = 0.000061

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 5% = 0.05

p-value = 0.000061

0.000061 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & conclude that there is evidence showing that the average number of boxes shipped per day is different from 1197.00

Hope this Helps!!!

6 0
2 years ago
A rectangle and square have the same area.
olganol [36]

Answer:

12x*3x=36x^2

squarelength=\sqrt{36x^2}=6x

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find a + b, 2a + 3b, |a|, and |a − b|. a = 4i + j, b = i − 2j
bogdanovich [222]
Add the component i apart and the compents j apart
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3 years ago
Anna has four kittens two of them are black Kevin has 10 kitchens Kevin and Annas kittens have the same ratio black kittens tota
Elan Coil [88]

Answer:

Kevin has 5 black kittens.

Step-by-step explanation:

Anna only has four kittens and two are black which makes it half of her litter. So we would do the same with Kevin. Since he has ten kittens half of them would be black.

5 0
3 years ago
Triangle ABC is inscribed in the circle, mA=50, and AB=BC. Find arch AC.
Karolina [17]

The answer is C) 160.

We know this because if mA = 50, we know that mC must also be 50. This is due to the fact that AB = BC. This leaves us with mB as 80 since the angles of a triangle always have to equal 180.

Now knowing this, it is easy to find the arc lengths in degrees. When you have a transcribed triangle, all we are going to do here is double the angle of the triangle to get the arc measure.

mB = 80

80*2 = 160

3 0
3 years ago
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