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3 years ago

Which number line shows the solution set to this inequality?

Mathematics

2 answers:

Komok [63]3 years ago

8 0

Answer:

I would say C

Step-by-step explanation:

BUT I am not COMPLETELY sure so please tell me if I am wrong

anyanavicka [17]3 years ago

8 0

A is the answer
Hope this helps

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Solve the compound inequality,

Feliz [49]

Answer:

$\large\boxed{y\in(-6,\ \infty)}$

Step-by-step explanation:

$(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6$

$(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4$

$\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)$

7 0

3 years ago

Convert 6.28282828 in to a fraction

Irina-Kira [14]

Answer:

I got 6 and 28/99

Step-by-step explanation:

I put it in a calculator about 10 times and this was the answer every time, sorry if it wasn't helpful

5 0

3 years ago

Read 2 more answers

Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2

Gelneren [198K]

Answer:

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It weighs 2 lbs or more

Event B: Delivered by UPS

15% of the packages that are delivered by UPS weighs 2 lbs or more.

This means that $P(A \cap B) = 0.15$

More than 2 lbs:

15% of 20%(UPS)

93% of 80%(Not delivered by UPS). So

$P(A) = 0.15*0.2 + 0.93*0.8 = 0.774$

a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938$

0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more

3 0

3 years ago

Maths * Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 4 : 3 : 1 by weight. Hen

Mice21 [21]

Answer:

His 55 kg of cement is 5 kg short of the 60 kg he needs.

Step-by-step explanation:

Let r be a ratio useful in determining how much of each ingredient Henry needs:

4/8 of the mix is cement, 3/8 is sand and 1/8 is gravel.

4/8 of the total 120 kg must then be 60 kg made up of cement;

3/8 must then be 45 kg made up of sand; and

1/8 must then be 15 kg made up of gravel

His 55 kg of cement is 5 kg short of the 60 kg he needs.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=1%20%2B%205%20%5Ctimes%206y" id="TexFormula1" title="1 + 5 \times 6y" alt="1 + 5 \times 6y" al

Levart [38]

Answer:

30y+1

Step-by-step explanation:

1+5x6y

1+30y

30y+1

6 0

3 years ago

Which number line shows the solution set to this inequality?​

Which number line shows the solution set to this inequality?