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aleksandrvk [35]
3 years ago
13

Create a list of steps, in order, that will solve the following equation.

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Step-by-step explanation:

Add 1 to both sides

Multiply both sides by 4

Take the square root of both sides

Subtract 5 from both sides

(straight from khan academy hints)

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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.

(c) The probability that neither Dave nor Mike will show up is 0.25.

Step-by-step explanation:

Denote the events as follows:

<em>D</em> = Dave will show up.

<em>M</em> =  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
4 years ago
Read 2 more answers
Simplify |3 - 11| - (15+ 3+2)2
Natalka [10]

Answer:

-26

Step-by-step explanation:

so, the absolute value of 3 and 11 together is 14.

14-(15+3+2)2

14-(20)2

14-40

-26

6 0
3 years ago
Terri is rewriting 7 to the 13th power in expanded form. How many factors should she use in her expression?
Pachacha [2.7K]
13


Because the exponent is really just how many factors you have.
For example 2 to the power 5 would have 5 factors in expanded form.
7 0
4 years ago
Read 2 more answers
Tan A = opp/adj equals to what<br>​
vaieri [72.5K]

Answer:

I need more information to answer this. Please provide more context

Step-by-step explanation:

SOHCAHTOA

SIN: Opposite/hypo

COS: Adj/Hyp

TAN: Opp/Adj

4 0
3 years ago
Simplify:<br> 25x - 6X - 18x + 7
azamat

Answer:

x+7

Step-by-step explanation:

25x - 6x - 18x + 7

x + 7

6 0
3 years ago
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