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3 years ago

Find the slope of the line passing through the points D(10,8) and E(-4, 4)

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

7 0

Answer: 2/7

Step-by-step explanation:

Slope form: y2-y1/x2-x1

4-8/-4-10 ==> -4/-14 ==> 2/7

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NEED HELP IN NEED THE ANSWER BY TO NIGHT PLE.

guapka [62]

Answer:

Step-by-step explanation:

1 sandwich is 6.25 (because 31.25/5)

2 sandwiches is 12.5

3 sandwiches are 18.75

4 sandwiches are 25

5 sandwiches are 31.25

6 sandwiches are 37.5

Amy - 8s + 12

8(6.25) +12 = 62

Amy paid $62.

Bob - 8(s + 2)

8(6.25 + 2) = 66

Bob pays $66.

Cathy - 4(2s + 3)

4(2 x 6.25 + 3) = 62

Cathy paid $62.

6 0

3 years ago

If m angle RTS = 8x + 18, find x so that line TR is perpendicular to line TS

Kitty [74]

Answer:

Point T is the right angle of the triangle, so RTS = 90 degrees

8x + 18 = 90 (degrees)

8x = 72

x = 9 degrees

Step-by-step explanation:

8 0

3 years ago

Among 8 PS4s, four are good and four have defects. Unaware of this, a customer buys 5 PS4s.

astraxan [27]

Answer:

(a) The probability of exactly 2 defective PS4s among them is 0.3125.

(b) The probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

Step-by-step explanation:

Let X = number of defective PS4s.

It is provided that 4 PS4s of 8 are defective.

The probability of selecting a defective PS4 is:

$P(X)=p=\frac{4}{8}=0.50$

A customer bought n = 5 PS4s.

The random variable X follows a Binomial distribution with parameters n = 5 and p = 0.50.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, 3...$

(a)

Compute the probability of exactly 2 defective PS4s among them as follows:

$P(X=2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=10\times0.25\times0.125=0.3125$

Thus, the probability of exactly 2 defective PS4s among them is 0.3125.

(b)

Compute the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective as follows:

$P(X=2|X\geq 2)=\frac{P(X=2\cap X\geq2)}{P(X\geq2)} =\frac{P(X=2)}{P(X\geq 2)}$

The value of P (X = 2) is 0.3125.

The value of P (X ≥ 2) is:

$P(X\geq 2)=1-P(X$

Then the value of P (X = 2 | X ≥ 2) is:

$P(X=2|X\geq 2)=\frac{P(X=2)}{P(X\geq 2)}=\frac{0.3125}{0.8125} =0.3846$

Thus, the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

6 0

3 years ago

Read 2 more answers

Please help me find the measure of x in the link! Thank you!

Novay_Z [31]

The value of x would be 60 degrees

explanation

===============================
the triangle has one missing angle that would be congruent to x since they are corresponding angles which means they are congruent.

We know that the triangle has to add up to 180 degrees. We add the 2 angles and get 120 degrees. We subtract 120 degrees from 180 to find the 3rd missing angle that is congruent to x degrees. 180-120=60 degrees. If 60 degrees is corresponding to x degrees, therefore, x should be equal to 60 degrees.

Hope this helps :)

8 0

3 years ago

WILL GIVE BRAINLIEST!! Bill is paid bi-weekly and has a gross pay of $1500 for each pay period. He pays Social Security at a rat

Tom [10]

$1142.25

Step-by-step explanation:

Gross pay per week = $1500

Social security deducted = 6.2% = $93

Medicare deducted = 1.45% = $21.75

Deductions for combined taxes = 16.2% = $243

Hence total deductions made from the gross salary

= 93+21.75+ 243

= $357.75

Hence, Net pay

= 1500 - 357.75

= $1142.25

4 0

4 years ago