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erastova [34]
3 years ago
7

Zoey will attend

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

$4,400

Step-by-step explanation:

1. Determine her annual expenses

    11,000+1,100+8,300+3,000+1,500= $24,900/year

2. Determine how much income she has

    3,000+2,500+15,000 = $20,500/year

2. Subtract her income from her expenses

    24,900-20,500 = $4,400 to earn

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Adult red wolves vary in length from 137.16 cm to 168.64 cm. Estimate the difference in length between the longest and shortest
zhannawk [14.2K]

Answer:

As per the statement:

Adult red wolves vary in length from 137.16 cm to 168.64 cm.

To find the difference in length between the longest and shortest of these wolves.

Longest length of wolves = 168.64 cm

Shortest length of wolves= 137.16 cm

Then;

\text{Difference of the length between the longest and shortest of these wolves} = \text{Length of longest wolves} -\text{Length of shortest wolves}

Substitute the given values we have;

\text{Difference of the length between the longest and shortest of these wolves} = 168.64 - 137.16 = 31.48 cm

therefore, the difference in length between the longest and shortest of these wolves is 31.48 cm

3 0
3 years ago
Please help I’m struggling so bad
Anastaziya [24]

Answer:

a) (100,70)

b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

(I'm sorry if I got anything wrong, but I hope this helps!)

Step-by-step explanation:

a) the point of intersection is where the two lines meet

this is at (100, 70)

b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)

(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).

d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

3 0
3 years ago
(Ross 5.15) If X is a normal random variable with parameters µ " 10 and σ 2 " 36, compute (a) PpX ą 5q (b) Pp4 ă X ă 16q (c) PpX
pochemuha

Answer:

(a) 0.7967

(b) 0.6826

(c) 0.3707

(d) 0.9525

(e) 0.1587

Step-by-step explanation:

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 10 and  variance <em>σ</em>² = 36.

(a)

Compute the value of P (X > 5) as follows:

P(X>5)=P(\frac{x-\mu}{\sigma}>\frac{5-10}{\sqrt{36}})\\=P(Z>-0.833)\\=P(Z

Thus, the value of P (X > 5) is 0.7967.

(b)

Compute the value of P (4 < X < 16) as follows:

P(4

Thus, the value of P (4 < X < 16) is 0.6826.

(c)

Compute the value of P (X < 8) as follows:

P(X

Thus, the value of P (X < 8) is 0.3707.

(d)

Compute the value of P (X < 20) as follows:

P(X

Thus, the value of P (X < 20) is 0.9525.

(e)

Compute the value of P (X > 16) as follows:

P(X>16)=P(\frac{x-\mu}{\sigma}>\frac{16-10}{\sqrt{36}})\\=P(Z>1)\\=1-P(Z

Thus, the value of P (X > 16) is 0.1587.

**Use a <em>z</em>-table for the probabilities.

8 0
3 years ago
Solve asap: 3(2y+10)=54<br><br> Within 10 mins pls <br><br> 8th grade
inna [77]

Answer:

y = 4

Step-by-step explanation:

6y + 30 = 54

subtract 30 from each side

6y = 24

divide each side by 6

y = 4

7 0
3 years ago
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Simplify the expression <br><br> sin(pi+x) + sin(pi - x)
Nitella [24]
   
\sin(\pi+x) = -\sin(x) \\  \\ &#10;\sin(\pi-x) = \sin(x) \\  \\ &#10;\sin(\pi+x) + \sin(\pi-x) = -\sin(x) + \sin(x) = \boxed{0}



8 0
4 years ago
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