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3 years ago

Which ordered pair is a solution of the equation 4x-2y=16?

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Substitute the coordinates of points to the equation.

$4x-2y=16$

$A.\ (-5,\ -3)\\\\4(-5)-2(-3)=16\\-20+6=16\\-14=16\ \ \ FALSE\\\\B.\ (-5,\ 3)\\\\4(-5)-2(3)=16\\-20-6=16\\-26=16\ \ \ FALSE\\\\C.\ (6,\ -4)\\\\4(6)-2(-4)=16\\24+8=16\\32=16\ \ \ \ FALSE\\\\D.\ (6,\ 4)\\\\4(6)-2(4)=16\\24-8=16\\16=16\ \ \ \ CORRECT\\\\Answer:\ \boxed{D.\ (6,\ 4)}$

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Find the value of the following expression below 8(15-4)/4^2-5

Sonja [21]

Answer:

The correct answer is 1/2 or 0.5

Step-by-step explanation:

8(15-4)/4^2-5

8(11)/4^2-5

Now i'm going to multiply 8 by 11

88/4^2-5

Now solve 4^2

Which is 16.

Now we have 88/16-5

Divide 88 and 16 which is 5.5.

Now minus 5.5 - 5 which gets us our answer: 0.5

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3 years ago

Each hat cost $9. Each scarf cost $4 less than each hat. What is the total for 7 hats and 9 scarves? Write a number sentence for

Sladkaya [172]

9xh = total cost of the hat
9 per hat - 4 = $5 each scarf

h = hat
s = scarf
(9xh) + (5x s)
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8 0

3 years ago

Read 2 more answers

7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken

Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The leading brand of dishwasher detergent has a 30% market share.

This means that $p = 0.3$

A sample of 25 dishwasher detergent customers was taken.

This means that $n = 25$

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001$

$P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014$

$P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074$

$P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243$

$P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572$

$P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030$

$P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472$

$P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712$

$P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651$

$P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336$

$P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916$

Then

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021$

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

3 0

3 years ago

Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3

Fudgin [204]

(-3,2) (0,0) i think. it’s been a whole

4 0

3 years ago

A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m

dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.

So the strength at that time = (420* 6) + 280*4) / 700

= 5.2%.

6 0

3 years ago