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3 years ago

Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number?

1 answer:

7 0

When you multiplied both sides by a NEGATIVE number, what WAS negative became positive, and what WAS positive became negative! Everything that was larger became small, and what was smaller became large. Everything REVERSED

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15 points<br> I really need help with this and it’s due soon please help me and explain.

PilotLPTM [1.2K]

A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is <em>x</em>, then the diagonal is such that

√(2) <em>x</em> = 10 cm

→ <em>x</em> = 10/√(2) cm ≈ 7.07 cm

The perimeter of a square is 4 times its side length, so the perimeter is

4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm

which makes 28.4 cm the closest answer.

8 0

2 years ago

Read 2 more answers

Find the value of z in the following equation.<br> z + 3z + 25 = 125

Y_Kistochka [10]

Answer:

Step-by-step explanation:

z+3z+25=125

4z=100

z=25

3 0

2 years ago

Read 2 more answers

If 4 dice are rolled, what is the number of ways in which at least 1 die shows 3?

UkoKoshka [18]

I think the number of ways is 671?

4 0

3 years ago

What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFracti

Lynna [10]

The rate of change of the linear function represented by the table is 3

<h3>Rate of change of a function</h3>

The rate of change of a function is also known as the slope of a function. The equation for calculating the slope is expressed as:

Slope = y2-y1/x2-x1

using the coordinates from the table (-2, -13) and (-1, -10)

Substitute

Slope = -10-(-13)/-1-(-2)

Slope = -10+13/-1+2

Slope =3

Hence the rate of change of the linear function represented by the table is 3

Learn more on rate of change here: brainly.com/question/25184007

#SPJ1

5 0

2 years ago

The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr

IgorC [24]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the population mean.

As per given , we have

$H_0:\mu \leq4\\\\ H_a: \mu >4$

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given $\sigma=1$ , so we perform one-tailed z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation

n= sample size

$\overline{x}$ = Sample mean

For n= 18 , $\overline{x}=4.50$ , $\sigma=1$ , $\mu =4$ , we have

$z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12$

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0

3 years ago