3 years ago

-6<2c-4<14 compound inequality

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

Add 4 to all sides

-6+4<2c-4+4<14+4

-2<2c<18

Divide by 2

-2/2<2c/2<18/2

-1 < c < 9

You might be interested in

Which comparison is true? 38=36 38<36 38>36

mylen [45]

Answer:

38 > 36

it is true it shows that 38 is greater than 36

6 0

2 years ago

Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has

zlopas [31]

Answer:

3.02

Step-by-step explanation:

quarters are .25

dimes are .10

nickels are .05

pennies are .01

9 * .25 + 4 * .10 + 7 *.05 + 2 *.01

2.25+0.4+0.35+0.02

3.02

7 0

3 years ago

Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said

madreJ [45]

85 * 0.20 = 17
85 - 17 = $68
He paid $68 for the jacket

6 0

3 years ago

Read 2 more answers

Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also tha

kykrilka [37]

Answer:

1.3125

Step-by-step explanation:

Given that our random variable $X$ follows a Poisson distribution $P(X=k)=\frac{\lambda^k e^-^p}{k!} \ \ \ \ \ \ \ \ p=\lambda$

Evaluate the formula at $k=2,3:$

$P(X=2)=0.5\lambda^2e^{-\lambda}\\\\P(X=3)=\frac{1}{6}\lambda^2e^{-\lambda}$

#since

$4P(X=2)=P(X=3);\\\\0.5\lambda^2e^{-\lambda}=4\times\frac{1}{6}\lambda^3e^{-\lambda}\\\\0.5\lambda^2=\frac{2}{3}\lambda^3\\\\0.75=\lambda$

The mean and variance of the Poisson distributed random variable is equal to $\lambda$ :

$\mu=\lambda=0.75\\\sigma ^2=\lambda=0.75$

#By property variance:

$\sigma ^2=V(X)=E(X^2)-(E(X))^2=E(X^2)\\\\E(X^2)=\sigma^2+\mu^2=0.75+0.75^2=1.3125$

The expectation is 1.3125

4 0

3 years ago

Find all the factor pairs for 84 and complete the equations.

VMariaS [17]

1. 84 = 1 x 84

2. 84 = 2 x 42

3. 84 = 3 x 28

4. 84 = 4 x 21

5. 84 = 6 x 14

6. 85 = 7 x 12

Hope this helps!

5 0

3 years ago

-6<2c-4<14 compound inequality​

-6<2c-4<14 compound inequality