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Anika [276]
3 years ago
15

Write an expression equivalent to 8(3/4x-1/4)-6(12-x) using the fewest possible terms.

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
Use distributive property: (24/4x-8/4)-(72-6x)
Simplify: 6x-2-72+6x
Simplify: 12x-74

12x-74
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The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly sel
garri49 [273]

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation \sigma = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

S.E = \frac{\sigma}{\sqrt{n}}

= \frac{2}{\sqrt{45}}

= \frac{2}{6.7082}

SE = 0.298

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

5 0
3 years ago
I need help with his math maze please
Aneli [31]

With these transversals across parallel lines the angles are either congruent or supplementary (adding to 180) and its pretty easy to figure out which is which, obtuse verse acute in the figure.

Each yellow circle indicates x and the path to the next square.  So for example the Start has alternate interior angles, which are congruent, so x is 141 degrees.

8 0
3 years ago
If a student has an average exam score between 70 and​ 79, he will earn a grade of C in his algebra course. Suppose he has three
goldenfox [79]

Answer:

(64,86.5)

Step-by-step explanation:

find the case where he gets 70 and the case where he gets 79

if his average is 70:

(75+62+85+2x)/5=70

(222+2x)/5=70

222+2x=350

2x=128

x=64

if his average is 79:

(75+62+85+2x)/5=79

(222+2x)/5=79

222+2x=395

222+2x=395

2x=173

x=86.5

7 0
3 years ago
L. - (6x - 5) = -6x +13​
zzz [600]

Answer:

No Solution.

Step-by-step explanation:

-(6x-5)=-6x+13

-6x+5=-6x+13

-6x-(-6x)+5=13

-6x+6x+5=13

0+5=13

5=13

7 0
2 years ago
Read 2 more answers
Unit rate for $32.05 for 15 gal
Marysya12 [62]

Answer:

im having the same problem,

Step-by-step explanation:

maybe search it up on google and see what comes up

6 0
2 years ago
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