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hoa [83]
3 years ago
10

you earn a salary of $40,000 per year amd decide to save 20%of your gross pay.you then set a goal of creating a $16,000 emergenc

y fund.how long will it take for you to achive your goal
Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
2 years ( 20% of $40,000 = $8,000)
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You roll a red die and a green die. What is the size of the sample space of all possible outcomes of rolling these two dice, giv
VladimirAG [237]
(red, green) = (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Size of sample space = 18.
6 0
4 years ago
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i
lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51

E)

P(X \geq 3)=1-P(X

F)

E(X)=\frac{1}{p}

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

E(X)=\frac{1}{0.7}=1.42

G)E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33

8 0
4 years ago
ASAP someone please simply two exponents
zhannawk [14.2K]

Answer:

1.) m^{15}

2.) =\frac{1}{y^{15}}

Give me a comment if you want the explanation.

1.) \mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

\left(m^3\right)^5=m^{3\cdot \:5}

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15

=m^{15}

2.) \mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

\left(y^{-3}\right)^5=y^{-3\cdot \:5}

=y^{-3\cdot \:5}

=y^{-15}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=\frac{1}{y^{15}}

4 0
3 years ago
Find sin(b) in the triangle.<br> A.4/3<br> B.3/5<br> C.3/4<br> D.4/5
DerKrebs [107]

The value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle \beta is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

\sin \beta=\dfrac{4}{5}

Therefore, the value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

Learn more about trigonometric ratios here:

brainly.com/question/1201366

#SPJ1

7 0
2 years ago
Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this
ValentinkaMS [17]

Answer:

She owes her brother $7.

Step-by-step explanation:

Subtract $18 made from dogsitting from the total (which is $25).

addition expression : $18 + x =$25

                      check :  $25 - $18 = $7

$7 is what she needs to finish paying back.  

3 0
3 years ago
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