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3 years ago

Find the slope through the given points Show your work. (2, 3) and (-5, 4)

1 answer:

7 0

The answer is (7,-1).

x1-y1 and x2-y2 gives you 2-(-5) and 3-4, so you now have a point which is (7,-1) which is the slope.

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Randy buys gas at a store that charges $3 per gallon. Sarah buys gas at a different store. The table shown here gives the cost w

marin [14]

Where is the table??

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3 years ago

Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that

aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

$A\cap B=$ {HH}

$B\cap C$ ={HH}

$A\cap C$ ={HH}

P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

$P(A)=\frac{2}{4}=\frac{1}{2}$

Number of favorable cases to event B=2

Number of favorable cases to event C=2

$P(B)=\frac{2}{4}=\frac{1}{2}$

$P(C)=\frac{2}{4}=\frac{1}{2}$

If the two events A and B are independent then

$P(A)\cdot P(B)=P(A\cap B)$

$P(A\cap)=\frac{1}{4}$

$P(B\cap C)=\frac{1}{4}$

$P(A\cap C)=\frac{1}{4}$

$P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}$

$P(B)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(B)=P(A\cap B)$

Therefore, A and B are independent

$P(B)\cdot P(C)=P(B\cap C)$

Therefore, B and C are independent

$P(A\cap C)=P(A)\cdot P(C)$

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0

3 years ago

A restaurant bill comes to $34.65. Find the total cost if the tax is 7.25% and a 20% tip is left on the amount before tax.

Tasya [4]

Answer:

44.59

Step-by-step explanation:

First add 20% to $34.65 and get $41.58, add the tax and your answer is $44.59.

3 0

3 years ago

A recipe requires 1/2 of a cup of white sugar and 2/3 of a cup of brown sugar. How much sugar is needed in all for the recipe?

djverab [1.8K]

Answer:

thats your answer......

3 0

3 years ago

If A denotes the area of the sector of a circle of radius r formed by the central angle θ, find the missing quantity. If necessa

masya89 [10]

Q1
r = (2A/θ)^.5 = ((14/(1/8))^.5 = 10.583 ft <--------

q2
θ = 2A/r^2 = 2*3/7^2 = .122 rad <--------

7 0

3 years ago

Read 2 more answers