1/8(-8c +16) - 1/3(6+3c)

A quadrilateral has two consecutive angles that measure 90 degrees each

hoa [83]

The answer is C)i, ii, iii, iv

6 0

3 years ago

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of grams of fat per pound

STatiana [176]

Complete question is:

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 34 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Answer:

Probability = 0.0277

Step-by-step explanation:

We are given;

Mean: μ = 32

Standard deviation;σ = 7

Random sample number; n = 34

To solve this question, we would use the equation z = (x - μ)/(σ/√n) to find the z value that corresponds to 29.7 grams of fat.

Thus;

z = (29.7 - 32)/(7/√34)

Thus, z = -2.3/1.200490096

z = -1.9159

From the standard z table and confirming with z-calculator, the probability is 0.0277

Thus, the probability to select 34 fish whose average grams of fat per pound is less than 29.7 = 0.0277

7 0

3 years ago

If twelve pounds of nails cost $3.84 what is the unit cost A) 32c B) 28c C) 23c D) 18c

aalyn [17]

Answer:

Option A) 32c

Step-by-step explanation:

we know that

To find the unit cost, divide the total cost of twelve pounds by twelve pounds

so

$\frac{\$3.84}{12}=\$0.32$

Remember that

1$=100 cents

Convert dollars to cents

$\$0.32=0.32*100=32c$

therefore

The cost of one pound of nails cost 32 cents

7 0

3 years ago

Read 2 more answers

Find the missing side of the triangle and leave the answer in simplest radical form.

tatuchka [14]

Answer:

x = $\sqrt5$

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

$(\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5$

6 0

3 years ago

Read 2 more answers

Can you plz solve 6-8 on this pic you have to find the area for it plz

Sergio039 [100]

Answer:

Figure 3: 28.5 units²

Figure 4: 33 units²

Figure 5: 25 units²

Figure 6: 30 units²

Figure 7: 25 units²

Figure 8: 32 units²

Reasons:

Figure 3 consists of 2 shapes, A rectangle and a square

████████ ◣

rectangle: ████████ triangle: █◣

████████ ██◣

rectangle:

to calculate a rectangle's area: multiply the lengths of the width and height:

████████= width 8 █

█ =height 3

█

$area=w(h)$

now substitute the values of W and H:

$8(3)=24$

rectangle area = 24

Triangle:

to find the area of a triangle, multiply the width and height and divide by two:

◣ + ◣ = █ 0.5 + 0.5 = 1

█

███=width 3 █ =height 3

█

$area=\frac{w(h)}{2}$

now substitute W and H

$area=\frac{3(3)}{2}$

$area\frac{9}{2}$

Triangle area: 4.5

Now add the Rectangle Area To the triangle Area:

4.5 + 24 = 28.5

Final answer:

AREA =2 8.5

hope this helps!

5 0

3 years ago