All categories

3 years ago

Tell whether -3 is a solution of the inequality 3-4r >_ 15

Mathematics

1 answer:

iragen [17]3 years ago

6 0

Answer:

-3 is a solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

[Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
[Division Property of Equality] Divide -4 on both sides: r ≤ -3

Step 3: Compare

Substitute in r: -3 ≤ -3

This is true. -3 is less than or equal to -3.

You might be interested in

Sam sent an email ro 3 friends on Monday. Each of the friends then sent an email to 3 friends on Tuesday. On Wednesday, each of

ivann1987 [24]

3*3*3 here you go!! Hope this helps

7 0

3 years ago

Read 2 more answers

5/10 + 1/5 = ?? Simplify answer fully

Andreyy89

Multiply the second fraction by two; which gets you 5/10 + 2/10 = 7/10

6 0

3 years ago

How do you find the range in a set of numbers?

Angelina_Jolie [31]

Answer:

first order the data from least to greatest. Then subtract the smallest value from the largest value in the set

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

Find the angle in degrees

BlackZzzverrR [31]

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

3 0

3 years ago

Tell whether -3 is a solution of the inequality 3-4r >_ 15​

Tell whether -3 is a solution of the inequality 3-4r >_ 15