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2 years ago

Points (1,3), (-4,7), and (-29,K) are collinear. Find K. How do i solve this?

1 answer:

3 0

Co linear points have same slope
Points (1,3), (-4,7), and (-29,K)
m1,2=7-3/-4-1=-4/5

m2,3=K-7/-29+4
m2,3=K-7/-25

-4/5=K-7/-25
4/5=K-7/25
4=K-7/5
20=K-7
K=27

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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defect

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Answer:

a) P (0 defective component) = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) P( 0 ) = 0

p ( 1 ) = 1

p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( $\frac{x=1}{x\geq 1}$ ) = p( x = 1 ) / 1 - P ( x = 0 )

= ( 0.5 )^1 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^1

= 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 = 1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

= ( 0.5 )^2 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^2

= 0.25 / 0.75 = 0.33

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2 years ago

Plz help I need your help plz help me plz I swear I need your help plz help me plz I’m begging you on my 2 knees plz help me

REY [17]

Answer:

The correct answer is B

Step-by-step explanation:

First, the question said that the shoes were $15 less than double the price of his pants. In algebra 2p would mean 2 multiplied by p so we know that C and D are wrong. Now $15 less than 2p would mean you have to subtract by 15, so now we have 2p-15. Since we haven't added in the amount of money the pair of pants cost, we have to use addition to add it in, and that adds to the equation making the equation 2p - 15 + p. So, the answer is B.

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3 years ago

Tom had 8 cookies, and he ate one and a half cookies. how many cookies were left?

Alex777 [14]

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3 years ago

I need help with dividing fractions

iVinArrow [24]

When you divide fractions, you want to use keep change flip.

You keep the 1st fraction, change the division sign into a multiplication sign, then flip the last fraction.

Let’s use 3/4 ÷ 2/3

Keep 3/4 the same, change the division sign into a multiplication sign, and flip 2/3 so that it is 3/2

It’ll look like this

3/4 x 3/2

Now just multiply the numerators, 2 x 3, then multiply the demoninators, 4 x 2.

You get 6/8

Simplify this number and you get 3/4.

If you have any further questions feel free to ask.

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3 years ago

Right △EFG has its right angle at F, EG=8 , and FG=2 .

d1i1m1o1n [39]

Answer:

Tan E = 2 / 7.75

Sin G = 7.75 / 8

Sec G = 4

Step-by-step explanation:

Find the attached document for better illustration of the triangle

Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.

FG = 2 = opposite side of the triangle.

We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.

EG² = FG² + EF²

EF² = EG² - FG²

EF² = 8² - 2²

EF² = 64 - 4

EF² = 60

EF = √(60)

EF = 7.7459 = 7.75

To find the respective trignometric ratio, we can use the relation SOH CAH TOA

Sine = opposite / hypothenus

Cosine = adjacent/ hypothenus

Tangent = opposite/ adjacent

A. tan E

Tan E = opposite/ adjacent

Tan E = 2 / 7.75

Tan E = 0.2580

B. Sin G = opposite / hypothenus

Sin G = 7.75 / 8

Sin G = 0.9687

C. Sec G = 1 / cos G

Cos G = adjacent / hypothenus

Sec G = 1 / (adjacent / hypothenus)

Sec G = hypothenus/ adjacent

Sec G = 8 / 2

Sec G = 4

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3 years ago