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2 years ago

Translate to an algebraic expression. The sum of a and n. The translation is

Mathematics

2 answers:

Leno4ka [110]2 years ago

6 0

Bro stop doing math u don’t it won’t help u I’m real life.

aksik [14]2 years ago

5 0

The translation of the sum a and n is a+n

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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:

<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.

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3 years ago

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Simplify:- ~~~~~~~

Alchen [17]

$\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )$

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

$\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}$

Calculate the LCM of denominators

$\sf\frac{ - 28 + 21 + 40}{70}$

Calculate the difference

$\bf \underline{ \underline \frac{33}{70} }$

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2 years ago

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Can someone help me with this math

astra-53 [7]

Equal them to each other and you get that x=7

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3 years ago

Give an example to show that subtraction does not follow the associative rule

Agata [3.3K]

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

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3 years ago

A train travels 220 miles in 4 hours. What is the train's speed in feet per minute?

Katena32 [7]

220 miles in 4 h = 55 mph multiply this by 5280 to get feet per hour then divide this by 60 to get ft/min

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3 years ago

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