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lbvjy [14]
3 years ago
9

Compute each sum or difference 9/10+7/9 1/2-3/11 2/5-1/15

Mathematics
2 answers:
Galina-37 [17]3 years ago
8 0
1. 9/10 + 7/9 = 81/90 + 70/90 = 151/90 = 1 61/90
2. 1/2-3/11 = 11/22-6/22 = 5/22
3. 2/5-1/15 = 6/15-1/15 = 5/15 =1/3
Helga [31]3 years ago
6 0

Answer:

Step-by-step explanation:

1) 9/10+7/9

The first step is to take the lowest common factor of 10 and 9 in the denominator. It is 90. Therefore,

9/10+7/9 = (9 × 9 + 7 × 10)/90 =

(81 + 70)/90 = 151/90 = 1 61/90

2) 1/2-3/11

The first step is to take the lowest common factor of 2 and 11 in the denominator. It is 22. Therefore,

1/2-3/11 = (11 - 6)/22 = 5/22

3) 2/5-1/15

The first step is to take the lowest common factor of 5 and 15 in the denominator. It is 15. Therefore,

2/5-1/15 = (6 - 1)/15 = 5/15 = 1/3

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A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spe
Diano4ka-milaya [45]

Answer:

a. \\ \mu = USD\;51.34; b. The 95% interval is USD [45.82, 56.86].

Step-by-step explanation:

The mean amount a customer spends at the grocery store

The mean is the sum of all of the data divided by the number of observations for this case, that is, n = 50.

The sum of all of the data is: 5.24+11.97+13.59+15.52+15.69+19.96+20.54+22.59+27.25+27.29+28.25+30.00+31.63+33.01+37.21+40.36+40.90+42.83+45.66+46.67+47.49+49.32+50.12+51.71+52.2 1+53.57+56.16+56.36+56.88+58.65+59.42+60.20+60.48+62.23+62.50+67.95+70.45+73.08+74.15+74.48+74.78+75.75+76.27+76.47+78.92+84.09+84.91+85.06+88.45+88.91 = 2567.17.

The mean \\ \mu is

\\ \mu = \frac{2567.17}{50}

\\ \mu = \frac{2567.17}{50} = 51.34

Then, <em>the mean amount a customer spends at the grocery store is</em> USD 51.34.

The 95% confidence interval for the mean amount spent

For the 95% confidence interval for the mean, we have the value for the <em>mean = </em>51.34, as we have just found, the value for the<em> standard deviation</em> is already given as USD 20.00. There are 50 observations, so n = 50.

Moreover, for a 95% confidence, the value for the corresponding z-score is z = 1.96 (this is the confidence coefficient). Then, the formula for finding the "limits" values for the confidence interval is as follows:

For the upper limit  

\\ \overline{X} + 1.96*\frac{\sigma}{\sqrt{n}}

\\ 51.34 + 1.96*\frac{20}{\sqrt{50}}

\\ 51.34 + 5.52

\\ 56.86

For the lower limit

\\ \overline{X} - 1.96*\frac{\sigma}{\sqrt{n}}

\\ 51.34 - 1.96*\frac{20}{\sqrt{50}}

\\ 51.34 - 5.52

\\ 45.82

Thus

The 95% confidence is USD [45.82, 56.86].

Mathematically

\\ P(45.82 \leq \mu \leq 56.86) = 0.95

There is a probability of 0.95 that the values are between [45.82, 56.86], both inclusive.

We have to remember here that we are dealing with a sample. This sample has a standard deviation, called standard error of the sample, and is \\ \frac{20}{\sqrt{50}} \approx 2.83.

So, the population mean is, with a 95% confidence, between the values [45.82, 56.86], both inclusive.

We can see the graph below that represents the former.

3 0
2 years ago
I need help please! :x:
zavuch27 [327]

Answer:

Charge(x) = $60 + ($0.75/mile)x, where x is the number of miles driven.

Step-by-step explanation:

That $60 is the y-intercept and represents the (flat) charge per session.  The  ($0.75/mile)x represents the amount charged for the total number of miles driven.

4 0
3 years ago
Explain how the digit 5 in the number 484.5 and 635.82 are different ​
Musya8 [376]

Answer:

The decimal point.

Explanation:

in 484.5 the 5 is behind the decimal point. Meaning that it isn't quite a full number.

In 635.82 the 5 is in front of the decimal point. Meaning that this <em>is</em> a whole number.

3 0
3 years ago
Please help me on this
11111nata11111 [884]

Answer: 11 boxes of cards for $72

Step-by-step explanation:

Brennan's equation would be

y=6x+6

Gabriel's Equation would be

y=5x+17

when they spend the same amount the equations will be equal

6x+6=5x+17

x+6= 11

x=11

so 11 boxes they would spend the same

To figure out cost, put 11 into the first equations

y=6(11)+6= 66+6= 72

y=5(11)+17= 55+17 = 72

so they each spent $72

5 0
2 years ago
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GREYUIT [131]

Answer: (-1, 7) should be the answer

Step-by-step explanation:

4 0
2 years ago
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