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3 years ago

5

Quadrilateral DEFG has vertices at D(−2,2), E(−1,4), F(2,3), and G(−1,−2). Find the vertices of the quadrilateral after a dilati

on with scale factor 3.5.

1 answer:

dangina [55]3 years ago

7 0

Answer: D(-7,7),E(-3.5,14),F(7,10.5), and G(-3.5, -7)

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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

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Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span> $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$
<span>

Part B:

The mean of a binomial distribution is given by

</span> $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$
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</span> $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$
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Part C:

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3 years ago

Coffee costs $18.96 for 3 pounds. And

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Answer:

the constant of proportionality is 6.32

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4 years ago

A baseball is hit with an initial upward velocity of 70 feet per second from a height of 4 feet above the ground. The equation h

Katyanochek1 [597]

To solve you need to set the equation equal to 6 (the height at which the player caught the ball.

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Next put the equation in standard form by subtracting 6 from both sides

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This equation can be simplified by dividing by 2

-8t^2 + 35t - 1 = 0

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using the quadratic formula we can solve for x

-b +/- sqrt(b^2 - 4ac)
-------------------------------
2a

The solutions are

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4 years ago

For homework, a student had to complete 54 problems total. If she finished 9 problems in

S_A_V [24]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Susan is twice as old as lana. The sum of their ages 4 years ago was 37. Find how old they are now with solution need asap

goldfiish [28.3K]

Answer:

Lana is 15 and Susan is 30

Step-by-step explanation:

let Lana's age=x

Susan's age=2x

Their ages four years ago:

Lana=x-4

Susan=2x-4

Now their ages 4years ago was 37 so:

x-4+2x-4=37

3x-8=37

3x=37+8

3x=45

x=15

Since Lana's age is x,she is 15years

Since Susan's age is 2x,she is 30years

5 0

2 years ago