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2 years ago

Solve the equation

Mathematics

1 answer:

Zina [86]2 years ago

3 0

Answer: the equivalent equation is found by distributing the 1/4 to get 4+3x=28

the first step is subtract 4 to both sides

the second step is divide both sides by 3

the answer is x=8

Step-by-step explanation:

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Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case

olga nikolaevna [1]

Answer:

(a) The probability that both Dave and Mike will show up is 0.25.

(b) The probability that at least one of them will show up is 0.75.

Step-by-step explanation:

Denote the events as follows:

D = Dave will show up.

M = Mike will show up.

Given:

$P(D^{c})=0.55\\P(M^{c})=0.45$

It is provided that the events of Dave of Mike showing up are independent of each other.

(a)

Compute the probability that both Dave and Mike will show up as follows:

$P(D\cap M)=P(D)\times P (M)\\=[1-P(D^{c})]\times [1-P(M^{c})]\\=[1-0.55]\times[1-0.45]\\=0.2475\\\approx0.25$

Thus, the probability that both Dave and Mike will show up is 0.25.

(b)

Compute the probability that at least one of them will show up as follows:

P (At least one of them will show up) = 1 - P (Neither will show up)

$=1-P(D^{c}\cup M^{c})\\=P(D\cup M)\\=P(D)+P(M)-P(D\cap M)\\=[1-P(D^{c})]+[1-P(M^{c})]-P(D\cap M)\\=[1-0.55]+[1-0.45]-0.25\\=0.75$

Thus, the probability that at least one of them will show up is 0.75.

(c)

Compute the probability that neither Dave nor Mike will show up as follows:

$P(D^{c}\cup M^{c})=1-P(D\cup M)\\=1-P(D)-P(M)+P(D\cap M)\\=1-[1-P(D^{c})]-[1-P(M^{c})]+P(D\cap M)\\=1-[1-0.55]-[1-0.45]+0.25\\=0.25$

Thus, the probability that neither Dave nor Mike will show up is 0.25.

6 0

3 years ago

Read 2 more answers

Can someone please help me?

ElenaW [278]

Answer:

Choice A is correct; Kindly rate

Step-by-step explanation:

A function is said to be increasing over a given interval if the value of the function is increasing over the said interval. From the graph, the function is increasing over the interval since with every change in the x-value, the y-value is increasing

8 0

3 years ago

Plzzzz helppppppppppppppp

GarryVolchara [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

Solve for n. n+ 1 = 4(n-8) On=1 O n= 8 on = 11 On = 16

Lesechka [4]

Answer:

n = 11

Step-by-step explanation:

n+ 1 = 4(n-8)

<=> n + 1 = 4n - 4×8

<=> 4n - n = 1 + 4×8

<=> 3n = 33

<=> n = 11

3 0

3 years ago

Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 EACH day the total cost was $123

Tom [10]

Answer:

14 days approximately or 14.47 to be exact

Step-by-step explanation:

Let the number of days be x

Val paid $123 for x days for renting a bicycle where as $8.50 was rent of bicycle per day so dividing $123/8.50 gives us number of days

which are 14.47 days.

$55 amount is ambiguous that whether it was flat ( as in apartment) rental fee or what?

3 0

3 years ago