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sergeinik [125]
3 years ago
7

4) Slope = 0 and y-intercept (0, -1)

Mathematics
2 answers:
KatRina [158]3 years ago
7 0

Answer:

Step-by-step explanation:

So, lets do the first one.

Slope = 0 and y-intercept is (0, -1)

The y intercept is the second number in the pair because it's the y value

we can switch this to,

y = mx + b

so,

y = 0x - 1

for the first one.

The second one has a slope of -1 and a y intercept of (0,4)

like I said the y intercept is the second number in the coordinate pair,

so,

y = -1x +4

Hope this helps!

denis-greek [22]3 years ago
6 0

Answer:

4.) y=-1

5.) y=-1x+4

Step-by-step explanation:

Use the slope-intercept form for each:

y=mx+b\\\\m=slope\\\\b=y-intercept\\\\(x,y)

The y-intercept happens when x is equal to zero, so when you have the point (0,y), plug in the y-value as the y-intercept.

4.) Insert the appropriate values in the equation:

y=0x-1

Simplify. Any number multiplied by 0 is 0, so:

y=0+-1\\\\y=-1

5.) Insert the appropriate values:

y=-1x+4

This cannot be simplified further.

:Done

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There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time
harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

5 0
2 years ago
The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o
oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

27=2x^{2} -3x

2x^{2} -3x-27=0

2x^{2} +6x-9x-27=0

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

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6 0
3 years ago
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

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∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
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A, C, and E.
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The answer to the question is 18$
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