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2 years ago

Write an inequality for the situation. all real numbers at most –9.5 or at least 5.5

Mathematics

2 answers:

Tomtit [17]2 years ago

8 0

Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b

Answer C

dexar [7]2 years ago

3 0

Answer:

option (c) is correct.

The given expression all real numbers at most –9.5 or at least 5.5 is written as b ≤ –9.5 or b ≥ 5.5

Step-by-step explanation:

Given expression all real numbers at most –9.5 or at least 5.5

We have to represent the given expression mathematically and choose the correct from given options.

Consider the given expression all real numbers at most –9.5 or at least 5.5

Let the real number be represented by b

then the given expression contain two terms

1) all real numbers at most –9.5

Mathematically written as b ≤ –9.5 .....(1)

2) all real numbers at least 5.5

Mathematically written as b ≥ 5.5 ....(2)

Thus, the given expression all real numbers at most –9.5 or at least 5.5 is written as b ≤ –9.5 or b ≥ 5.5

Thus, option (c) is correct.

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9. Ms. Ortiz sells tomatoes wholesale. The function p(x)=–80x2 + 320x – 10, graphed below,

labwork [276]

Answer:

The correct answer is B. $310 at $2 per kilogram

Step-by-step explanation:

1. Let's find out the maximum profit Ms. Ortiz can make with a loaf of tomatoes:

function p(x)=–80x² + 320x – 10

For x = 1, price per kilogram of tomatoes would be: 4 - x = 3

–80x² + 320x – 10, replacing with x = 1

-80 * 1² + 320 * 1 - 10 = -80 + 320 - 10 = 230

For x = 2 price per kilogram of tomatoes would be: 4 - x = 2

–80x² + 320x – 10, replacing with x = 2

-80 * 2² + 320 * 2 - 10 = -320 + 640 - 10 = 310

For x = 3, price per kilogram of tomatoes would be: 4 - x = 1

–80x² + 320x – 10, replacing with x = 3

-80 * 3² + 320 * 3 - 10 = -720 + 960 - 10 = 230

The correct answer is B. $310 at $2 per kilogram

7 0

1 year ago

ian has a bag of fruit chews. 60/100 of fruit chews are cherry or grape. if 25/100 of fruit chews are cherry what fraction of th

padilas [110]

If the total of cherry or grape is 60/100, then 60 (total of grape and cherry)-25 (cherry)= 35 (grape)

So 35/100 grape fruit chews

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1 year ago

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The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 9, 8, 12, 6, 10. What is th

cricket20 [7]

Answer:

She wrote 9 pages per day on average

Step-by-step explanation:

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:

Monday = 9

Tuesday =8

Wednesday = 12

Thursday = 6

Friday = 10

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =\frac{9+8+12+6+10}{5}$

Mean=9

Hence She wrote 9 pages per day on average

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2 years ago

The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking

Anna [14]

Answer:

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 160, \pi = \frac{14}{160} = 0.088$

88% confidence level

So $\alpha = 0.12$ , z is the value of Z that has a pvalue of $1 - \frac{0.12}{2} = 0.94$ , so $Z = 1.555$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 - 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.053$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 + 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.123$

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

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2 years ago

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy

Kobotan [32]

The answer is c. 1.5r + 2.5(5 – r) = 10.50. Let r be the number of raisins and p be the number of peanuts. Raisins cost $1.50 per pound: 1.5r. Peanuts cost $2.50 per pound: 2.5p. Jeremy spends $10.50: 1.50r + 2.50p = 10.50. Jeremy makes 5 pounds of trail mix: r + p = 5. So, we have the system of two equations: 1.5r + 2.5p = 10.50 and r + p = 5. Use the second equation to express p: p = 5 - r. Now, substitute p in the first equation: 1.5r + 2.5(5 - r) = 10.50. Therefore, the correct choice is c. 1.5r + 2.5(5 – r) = 10.50.

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1 year ago

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