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3 years ago

Select all the solutions to the inequality: -2x>10

1 answer:

4 0

The answer:

-10, -8, -5

Explanation:

If you replace x with every number and solve the inequality, the one ones that correctly complete the inequality are -10, -8, and -5.

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Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

What are the removable discontinuities of the following function? f (x) = StartFraction x squared minus 36 Over x cubed minus 36

jeyben [28]

Answer:

the removal discontinuity of the following function at x=-6 or x=6.

Step-by-step explanation:

factoring f(x) = (x - 6)(x + 6)

----------------

x(x - 6)^x + 6)

3 0

3 years ago

Read 2 more answers

The plans for a house are drawn at scale of 1/4 inch to 1 foot. If the bedroom is 10 feet wide, what is its width on the plan?

viva [34]

Answer:

2.5 inches

Step-by-step explanation:

(1/4) x 10 = 2.5

or .25 x 10 = 2.5

5 0

3 years ago

What is the graph of y= <img src="https://tex.z-dn.net/?f=-%5Csqrt%5B7%5D%7Bx%7D%20-8" id="TexFormula1" title="-\sqrt[7]{x} -8"

Verdich [7]

The graph is Negative

7 0

3 years ago

A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd scores a 55 on the test. Select the answer

Jlenok [28]

Answer:

Todd's Z-score is - 0.27

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score 'x' = 55

Todd's Z-score

$Z = \frac{x-mean}{S.D}$

$Z = \frac{55-70}{55}$

Z = -0.27

Final answer:-

Todd's Z-score is - 0.27

6 0

4 years ago