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3 years ago

10

On Sunday Lindsay rode her bikeb3 times as far as she did on Saturday. On Saturday she rode 3 miles. How far did she ride on Sun

day?

1 answer:

Naddik [55]3 years ago

7 0

Answer:

9 miles

Step-by-step explanation:

3 times 3 is 9

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Find a cubic polynomial in standard form with real coefficients, having the given zeros -3 and 6 + 2i

Nataly_w [17]

Answer:

p(x) = x³ - 9x² + 4x + 120

Step-by-step explanation:

complex zeros occur in conjugate pairs

6 + 2i is a zero, hence 6 - 2i is a zero

the factors are therefore (x + 3) , (x - (6 + 2i)), (x - (6 - 2i)), hence

p(x) = (x + 3)(x - 6 - 2i)(x - 6 + 2i)

= (x + 3)((x - 6)² - 4i²)

= (x + 3)(x² - 12x + 36 + 4) ← i² = - 1

= (x + 3)(x² - 12x + 40)

= x³ - 9x² + 4x + 120 ← in standard form

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3 years ago

Can y’all help me please ??

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Answer:

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Step-by-step explanation:

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3 years ago

Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p

alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

$P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093$

As a consecuence, he wont foul out with probability 0.9093.

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4 years ago

What is the quotient and remainder of 5,897 divide by 24

mr Goodwill [35]

The answer is 245 remainder 17

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3 years ago

Read 2 more answers

Please help with this! <br><br> Number 6. <br> Number 8.<br> (Show work if you can)

Arada [10]

Step-by-step explanation:

6.

90° counterclockwise.

x and y are trading places, and the new x (the original y) flips the sign.

A (-7, 0) turns into A' (0, -7). 0 does but have a sign ...

B (-12, 5) turns into B' (-5, -12).

C (-3, 5) turns into C' (-5, -3).

remember the perpendicular slope of lines ? y/x turns into -x/y. the same principle here. just here we need to pay attention to which coordinate flips the sign - depending on the clockwise/counterclockwise direction it is either the original x or y.

7.

180° counterclockwise (for 180° the direction is irrelevant, it is a half-circle, and no matter in what directing you turn the points, they end up at the same location).

both signs are flipped. that's it. 180° is 2 rotations by 90° in the same direction.

as we can see from doing 6. two times that means x and y have switched back into their original positions, but both signs have flipped.

A (-5, -2) turns into A' (5, 2).

B (-5, 3) turns into B' (5, -3).

C (0, 7) turns into C' (0, -7).

D (0, 3) turns into D' (0, -3).

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2 years ago