All categories

3 years ago

Which of the following values are solutions to the inequality 3 -

Mathematics

1 answer:

forsale [732]3 years ago

5 0

Answer:

None

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

2x < -10

Step 2: Solve for x

Divide 2 on both sides: x < -5

Here we see that any value x smaller than -5 would work as a solution.

Step 3: Identify

Answer choices.

I. -2

II. 2

III. 10

We see that none of these numbers are less than -5. Therefore, non of the answer choices are correct.

You might be interested in

F (x) = 4x + 3. f(5)=23. which number is the input

Maru [420]

I’m not sure let me figure it out real quick

5 0

3 years ago

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca

xenn [34]

Answer:

a) 0.4352

b) 0.5165

c) 0.0813

Step-by-step explanation:

In this problem we have 3 defective parts scattered among 15 parts.

We are going to select 3 out of 15 without replacement, so the situation can be modeled with the Hypergeometric distribution.

If X is the random variable that measures the number of defective parts in a sample of 3, the probability of selecting exactly k defective parts out of 15 would be given by

$P(X=k)=\displaystyle\frac{\binom{3}{k}\binom{15-3}{3-k}}{\binom{15}{3}}$

a) what is the probability that the inspector finds exactly one nonconforming part?

Replacing k with 1 in our previous formula, we get

$P(X=1)=\displaystyle\frac{\binom{3}{1}\binom{15-3}{3-1}}{\binom{15}{3}}=\displaystyle\frac{3*66}{455}=0.4352$

b) what is the probability that the inspector finds at least one nonconforming part?

This would be P(X=1)+P(X=2)+P(X=3) = 1 - P(X=0).

$P(X=0)=\displaystyle\frac{\binom{3}{0}\binom{15-3}{3-0}}{\binom{15}{3}}=\displaystyle\frac{1*220}{455}=0.4835$

so 1 - P(X=0) = 1 - 0.4835 = 0.5165

c) what is the probability that the inspector finds at least two nonconforming part?

P(X=2) + P(X=3) = 1 - (P(X=0) + P(X=1)) = 1 - (0.4835 + 0.4352) =

= 1 - 0.9187 = 0.0813

6 0

3 years ago

Evaluate the function below for x = 2. f (x) = 4x^3 - x^2 - 5x+7

nexus9112 [7]

Answer: $f(2)=25$

Step-by-step explanation:

You know that the given function is:

$f(x)=4x^3-x^2-5x+7$

You know that you must evaluate this function for $x=2$ .

Then, to evaluate the function for $x=2$ , you need to substitute this value into the given function and simplify it.

Therefore, you get:

$f(x)=4x^3-x^2-5x+7\\f(2)=4(2)^3-(2)^2-5(2)+7\\f(2)=4(8)-(4)-10+7\\f(2)=32-4-10+7\\f(2)=25$

So, the answer is: $f(2)=25$

8 0

3 years ago

What is the positive solution to this equation? 4x2 + 12 x= 135

Strike441 [17]

The answer is 2.25.

4 0

3 years ago

Find the value of x and y

IRISSAK [1]

A. x = 15 and y = 12

7 0

4 years ago