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4 years ago

Write a compound inequality that represents each situation. Graph your solution.

Mathematics

2 answers:

icang [17]4 years ago

8 0

The given statement is

all real numbers at least –8 and at most 0

At least means the minimum value which is -8 here. And at most means the maximum value which is 0 here.

So x is in between -8 and 0 incuding -8 and 0. And the compound iequality is

$-8 \leq x \leq 0$

And the correct option is D .

Aloiza [94]4 years ago

7 0

The answer is D.

at least -8 and at most 0
-8 ≥ x ≥ 0

The solution set is [-8, 0].

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The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability of assembling the product betw

Wewaii [24]

Answer:

The probability of assembling the product between 7 to 9 minutes is 0.50.

Step-by-step explanation:

Let X = assembling time for a product.

Since the random variable is defined for time interval the variable X is continuously distributed.

It is provided that the random variable X is Uniformly distributed with parameters a = 6 minutes and b = 10 minutes.

The probability density function of a continuous Uniform distribution is:

$f_{X}(x)=\left \{ {{\frac{1}{b-a};\ a$

Compute the probability of assembling the product between 7 to 9 minutes as follows:

$P(7$

$=\frac{1}{4}\times \int\limits^{9}_{7}{1}\, dx$

$=\frac{1}{4}\times [x]^{9}_{7}\\$

$=\frac{1}{4}\times (9-7)\\$

$=\frac{1}{2}\\=0.50$

Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.

5 0

4 years ago

Let a represent an unknown number. If 33 is 11 more than a, which equation can be used to find a?

Crank

Answer:

$33 - 11 = a$

Step-by-step explanation:

Convert text to an equation:

33 is 11 more than a

33 is 11 + a

$33 = 11 + a$

Subtract 11 on both sides:

$33 - 11 = a$

6 0

3 years ago

Two classes are having pizza parties. Ms. Rodriguez’s class decides to order enough so that every 3 students will have 2 pizzas.

SVEN [57.7K]

Answer:

Pizzas will be ordered by the two classes

7 0

3 years ago

Eight more than the product of a number and 9 is equal to 2?

djyliett [7]

9x + 8 = 2

Subtract 8 from both sides:

9x = -6

x = -6/9

Simplify:

x = -2/3

4 0

4 years ago

Proof that : <img src="https://tex.z-dn.net/?f=%20%7Bsin%7D%5E%7B2%7D%20%5Ctheta%20%2B%20%20%7Bcos%7D%5E%7B2%7D%20%5C%3A%5Cth

Arisa [49]

Answer:

Solution given:

Right angled triangle ABC is drawn where <C= $\theta$

we know that

$\displaystyle Sin\theta=\frac{opposite}{hypotenuse} =\frac{AB}{AC}$

$\displaystyle Cos\theta=\frac{adjacent}{hypotenuse}=\frac{BC}{AC}$

Now

left hand side

$\displaystyle {sin}^{2} \theta + {cos}^{2} \:\theta$

Substituting value

$(\frac{AB}{AC})²+(\frac{BC}{AC})²$

distributing power

$\frac{AB²}{AC²}+\frac{BC²}{AC²}$

Taking L.C.M

$\displaystyle \frac{AB²+BC²}{AC²}$ ....[I]

In ∆ABC By using Pythagoras law we get

$\boxed{\green{\bold{Opposite²+adjacent²=hypotenuse²}}}$

AB²+BC²=AC²

Substituting value of AB²+BC² in equation [I]

we get

$\displaystyle \frac{AC²}{AC²}$

Right hand side

<h3>proved</h3>

8 0

3 years ago

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