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Sindrei [870]
4 years ago
6

Mavity's Furniture discounts all furniture 8% to customers paying in cash. Rhonda paid $1,948.65 in cash for a sofa, loveseat an

d chair. What was the original price of the furniture?
$1,558.92
$2,104.54
$1,792.76
$2,118.10
Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
3 0
1948.65-(1948.65*0.08)=1792.76
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You have a 32 foot fence arouind a square garden.There are 4 equal sections. You paint 1/3 of the section of the fence. What fra
gizmo_the_mogwai [7]
So there are 4 sides. 32 divided by 4 is 8, so each side is 8 feet long. So it would be 1/3 of 1/4.
5 0
3 years ago
Construct a triangle whose sides are 3 in., 1 1/2 in., 2 3/8 in., 2 in., 3 1/2 in.
Luda [366]
That's 5 lengths for a three sided shape... Are you sure that is the instructions?
6 0
3 years ago
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
If f(x)=3x-1 and g(x)=x+5, find (f o g)(x) and (g o f)(x)<br><br> (f o g)(x)=<br><br> (g o f)(x)
Nuetrik [128]

Answer:

(f o g)(x)= 3x + 14

(g o f)(x) = 3x + 4

Step-by-step explanation:

(f o g)(x) = f(g(x)) = f(x + 5) = 3(x + 5) - 1 = 3x + 15 - 1 = 3x + 14

(g o f)(x) = g(f(x)) = g(3x - 1) = 3x - 1 + 5 = 3x + 4

3 0
3 years ago
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
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