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3 years ago

Please help ASAP! 20 points!

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Answer:

The answer to your question is y² = -8x

Step-by-step explanation:

The equation of a horizontal parabola with vertex (0, 0) is: y ² = -4px

and p is the distance from the vertex to the focus, in this problem

p = 2.

Substitution

y² = -4(2)x

Simplification

y² = -8x

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Tom gets $12 off a box of chocolates that had an original priceof $48. What percentage is the discount?

kramer

25% i thought you already asked this question...

5 0

3 years ago

Read 2 more answers

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

ad-work [718]

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

5 0

3 years ago

Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the b

almond37 [142]

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA given

sin ∠EAB = EB/AB (sin 60°) EB = (0.8660)AB

cos ∠EAB = EA/AB (cos 60°) EA = (0.5)AB

cos ∠DAC = AD/CA (cos 30°) AD = (0.8660)CA

sin ∠DAC = CD/CA (sin 30°) CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA, ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

7 0

3 years ago

Find the slope of the line that passes through the pair of points. (1.8, –3.4), (6.8, –8.4)

elixir [45]

Answer:

-1

Step-by-step explanation:

If a straight line passes through the known points (x1, y1) and (x2, y2), the its slope is given by $m = \frac{y1-y2}{x1-x2}$

Now, in our case the straight line passes through the points (1.8, - 3.4) and (6.8, - 8.4).

Therefore, the slope of the required straight line will be $m = \frac{-3.4-(-8.4)}{1.8-6.8}= -1$ ( Answer )

3 0

4 years ago

If n is a positive integer, then lim (n-->infinity) (1/n) [1/(1+(1/n)) + 1/(1+(2/n))+...+1/(1+(n/n)] is?

Anton [14]

The correct answer to this question is d.) integral from 1 to 2 of (2/(x+1))
To solve this:

Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.

x <---> a + kΔx

a = 0, then b = 1, so that Δx = (b - a)/n = 1/n

Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.

This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is d.) integral from 1 to 2 of (2/(x+1))

Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.

3 0

3 years ago