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2 years ago

Solve the inequality. Then graph the solutions on a number line.

Mathematics

1 answer:

stepan [7]2 years ago

7 0

Answer:

I worked out the inequality and i got -2<x

Step-by-step explanation:

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Tyrone weighed 1 box of macaroni on a scale and found it weighed 0.6 pounds. What could Tyrone do to find the total weight of 10

ollegr [7]

Answer:

He could multiply the amount one box ways by 100, or 0.6*100.

Step-by-step explanation:

6 0

3 years ago

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Assuming that it is known from previous studies that σ = 4.5 grams, how many mice should be included in our sample if we wish to

Yuki888 [10]

Answer:

The required amount of mice is 11.82 gram.

Step-by-step explanation:

Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.

To find : How many mice should be included in our sample?

Solution :

The formula used in the situation is

$z=\frac{x-\mu}{\sigma}$

Where, z value at 95% confidence interval is z=1.96

$\mu=3$ gram is the mean of the population

$\sigma=4.5$ gram is the standard deviation of the sample

Substituting the value, to find x sample mean

$1.96=\frac{x-3}{4.5}$

$1.96\times 4.5=x-3$

$8.82=x-3$

$x=8.82+3$

$x=11.82$

Therefore, The required amount of mice is 11.82 gram.

6 0

3 years ago

25. The width of a rectangle is (x+1) and the length is (X-6). What is the length and width of the rectangle if the area is

Elis [28]

Answer:

x=−4 or x=9

Step-by-step explanation:

1- As we know the formula for Area of rectangle = length x width

2- Multiply given width = (x+1) with length = (x-6)

3-Equation will be (x+1)(x-6) = 30

4- Solving x^2−5 x−6 = 30

5- x^2−5 x -36 = 0

6-Factor left side of equation.

(x+4)(x−9)=0

Set factors equal to 0.

x+4=0 or x−9=0

6 0

3 years ago

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65 points!!

madreJ [45]

I think #1 is -1/2 but im not sure i dont know about the other answers

4 0

3 years ago

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A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find th

bija089 [108]

Answer:

l(l - 2) = 168

Step-by-step explanation:

Let w = width

Let l = length

Let A = area

w = l - 2

A = l * w

also, A = 168

equating the two values of A

l * w = 168

l * (l - 2) = 168

l^2 - 2l = 168

l(l - 2) = 168

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3 years ago

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