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3 years ago

Which expression models the phrase “Wally mowed two more lawns than he mowed last week”?

Mathematics

2 answers:

VLD [36.1K]3 years ago

4 0

Answer: n+2

Two lawns more than last week so two more than something with n being that something is; n+2

Serhud [2]3 years ago

3 0

For this case we have to:

n: It's the variable that represents the number of lawns that mowed Wally last week.

If you tell us as a fact that this week Wally mowed two more lawns, then we have the following expression:

$n + 2$

Finally, the expression is:

$n + 2$

Answer:

$n + 2$

Option A

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Answer:

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3 years ago

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sp2606 [1]

Answer:

$y=\frac{1}{6} (x+5)^2-4.5$

$y=\frac{-1}{20} (x-10)^2+1$

Step-by-step explanation:

focus at (-5, -3), and directrix y = -6

Directrix y=-6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

(h,k) is the center

P is the distance between focus and vertex

distance between focus and directrix = 2p

distance between -3 and y=-6 is 3

2p = 3

p = 3/2 or p = 1.5

Focus is (h, k+p)

given focus is (-5, -3) so h= -5 and k+p = -3

k+p=-3, plug in 1.5 for p

k + 1.5 = -3

subtract 1.5 on both sides

k = -4.5

(x-h)^2 = 4p(y-k)

$(x+5)^2= 4(1.5) (y+4.5)$

$(x+5)^2= 6(y+4.5)$

divide by 6 on both sides

then subtract 4.5 on both sides

$y=\frac{1}{6} (x+5)^2-4.5$

focus at (10, -4), and directrix y = 6.

Directrix y=6 so its a vertical parabola

so equation is

(x-h)^2 = 4p(y-k)

distance between focus and directrix = 2p

distance between -4 and y=6 is -4-6=-10

2p = -10

p = -5

Focus is (h, k+p)

given focus is (10, -4) so h= 10 and k+p = -4

k+p=-4, plug in 5 for p

k - 5 = -4

add 5 on both sides

k = 1

(x-h)^2 = 4p(y-k)

$(x-10)^2= 4(-5) (y-1)$

$(x-10)^2= -20(y-1)$

divide by -20 on both sides and add 1 on both sides

$y=\frac{-1}{20} (x-10)^2+1$

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Answer:

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Step-by-step explanation:

We find it useful to convert 4.35% to decimal, because if you need to find 4.35% of any number, you can simply multiply that number with 0.0435.

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2 years ago

A study shows that 20% of college students pray daily in their own religious beliefs. In a group of 300 college students, find t

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Answer:

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Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = $\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93$

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

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For x = 57:

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For x = 62:

$z=\frac{62-60}{6.93 } =0.29$

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

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