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uranmaximum [27]
3 years ago
5

Susan has 4 times as much money as her sister .If Susan has ten dollars ,how much money does her sister have.

Mathematics
1 answer:
vredina [299]3 years ago
8 0

$2.50 of money because 4 times 2.5 = 10

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Given that 3+√5/4−√5 = a + b√5, find the values of “a” and “b”<br>URGENT PLZ ANSWER!
Vikki [24]

Answer:

Step-by-step explanation:

hello :

√(5/4)= √5/ √4 =√5/2 = (1/2)√5

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4 years ago
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

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Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

Slope = ?

Solution:

Slope of Line Segment AB is given as

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Slope(AB)=\dfrac{4}{3}

4 0
3 years ago
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

2*2*2*2= 16

<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

is  0.65633

3 0
3 years ago
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