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3 years ago

Solve each compound inequality and graph the solutions. -2 < x - 3 < 5

Mathematics

1 answer:

Greeley [361]3 years ago

8 0

Answer:

See attachment.

Step-by-step explanation:

The given inequality is -2 < x - 3 < 5.

We add 3 to each part of -2 +3< x - 3+3 < 5+3

We now simplify to get: 1 < x < 8.

To represent this on the number line, we have to draw open circles at 1 and 8 and connect them as shown in the attachment.

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Y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. what is the value of y when x = 5 m and z = 12 m?

Fynjy0 [20]

As x = 5 & z=12,

2/3 = y /(xz) = y/(5*12) 

= y/60 

so y / 60 = 2/3 

y = (2*60)/3 

= 40

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3 years ago

Given trapezoid KLMN with midsegment EF, where KL = 4 and MN = 7, what is the length of EF?

TEA [102]

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

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2 years ago

Anita sees in her nutrition book that a 7.5-ounce piece of cake has 900 calories. how many calories will she save if she takes o

Marianna [84]

$\bf \begin{array}{ccll}
\stackrel{cake}{oz}&calories\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7.5&900\\
2.5&x
\end{array}\implies \cfrac{7.5}{2.5}=\cfrac{900}{x}\implies x=\cfrac{2.5\cdot 900}{7.5}$

so, the 2.5oz cake will be "x" calories, pheeew, she'll be taking in 900 - x less calories.

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3 years ago

Whoever can answer 11-2 in PEDMAS form pls do it.

butalik [34]

Answer:

Step-by-step explanation:

11 - 2 = 9

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2 years ago

Arada [10]

Using a confidence interval of proportions, it is found that the correct statement is given by:

D a confidence interval for estimating the cricket's true probability of landing on its feet is more narrow after the final 10 jumps than it was before the final 10 jumps.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

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

The margin of error is inversely proportional to the square root of the sample size, hence, the higher the sample size, the narrower the interval is, hence option D is correct.

More can be learned about a confidence interval of proportions at brainly.com/question/25890103

7 0

2 years ago