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beks73 [17]
3 years ago
5

The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3 8 of the items barbecued

are veggie burgers, and 1 3 of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps? 17 24 4 11 3 8 1 8 7 24
Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer: 7/24

Step-by-step explanation:

Fraction of the items barbecued that are veggie burgers = 3/8

Fraction of the items barbecued that are corn cobs = 1/3

The fraction of the items barbecued that are mushrooms caps will be:

= 1 - (3/8 + 1/3)

The lowest common multiple of 8 and 3 is 24.

= 1 - (3/8 + 1/3)

= 1 - [(3/8 × 24) + [(1/3 × 24)]

= 1 - (9/24 + 8/24)

= 1 - 17/24

= 7/24

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SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is inter
Rama09 [41]

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.88}{2} = 0.06

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a p-value of 1 - 0.06 = 0.94, so Z = 1.555.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that n = 300

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

M = z\frac{\sigma}{\sqrt{n}}

15 = 1.555\frac{300}{\sqrt{n}}

15\sqrt{n} = 300*1.555

Dividing both sides by 15

\sqrt{n} = 20*1.555

(\sqrt{n})^2 = (20*1.555)^2

n = 967.2

Rounding up:

The administrator should sample 968 students.

5 0
3 years ago
Find the value of a and b when x = 10<br>a =<br>5x2<br>2<br>2x2(x - 5)<br>b=<br>10x<br><br>helpp​
labwork [276]
I think the value of a and b is: a = 250 and b = 10
8 0
3 years ago
When Emily was born, she weighed 8.2 pounds. Two months later she weighed 10.15 pounds. How much weight did Emily gain in two mo
likoan [24]
Answer is B: Subtract 8.2 and 10.15 and you will get 1.95
8 0
3 years ago
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Isabel's car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank
Archy [21]

It will be 505.85.

Because 33.5 × 15.1 is 505.85.

8 0
4 years ago
Read 2 more answers
A 35-ft long solid steel rod is subjected to a load of 8,000 lb. This load causes the rod to stretch 0.266 in. The modulus of el
lord [1]
<h2>Diameter of rod = 19 mm</h2>

Step-by-step explanation:

We have the equation for elongation

                 \Delta L=\frac{PL}{AE}\\\\A=\frac{\pi d^2}{4}

Here we have

                 Elongation, ΔL = 0.266 in = 0.00676 m

                 Length , L = 35 ft = 10.668 m

                 Load, P = 8000 lb = 35585.77 N

                 Modulus of elasticity, E = 30,000,000 psi = 2.07 x 10¹¹ N/m²

Substituting

                 \Delta L=\frac{PL}{AE}\\\\A=\frac{\pi d^2}{4}\\\\\Delta L=\frac{4PL}{\pi d^2E}\\\\d^2=\frac{4PL}{\pi \Delta LE}\\\\d=\sqrt{\frac{4PL}{\pi \Delta LE}}\\\\d=\sqrt{\frac{4\times 35585.77\times 10.668}{\pi \times 0.00676 \times 2.07\times 10^{11}}}=0.019m\\\\d=19mm

Diameter of rod = 19 mm

7 0
3 years ago
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