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iogann1982 [59]
3 years ago
7

Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in

your final answer.
Mathematics
1 answer:
crimeas [40]3 years ago
3 0
(3,0) (0,-3)

slope: -3-0/0-3

-3/-3

m=1
b=-3

y=x-3
-x -x

-x+y=-3

-1(-x+y=-3)

x-y=3

There's a possiblity that I'm wrong. It's been a while since I've done this.
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Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wood
Stells [14]

<u>Answer with explanation:</u>

As per given , we have

A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72.

i.e. n= 50

Degree of freedom = n-1=49

\overline{x}=3.1\ mm

s=0.72\ mm

The point estimate of the population mean is equals to the sample mean.

i.e. The best estimate for the length of gribbles= 3.1 mm

Also, population standard deviation is unknown , then the confidence interval would be :

E=t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

For df= 49 and significance level of 0.05 , the t- value (using t-distribution table) would be :

t_{0.05/2, 49}=t_{0.025, 49}= 2.010

Now, Margin of error : E=(2.010)\dfrac{0.72}{\sqrt{50}}

=0.204664986747\approx0.20

95% confidence interval : (\overline{x}-E,\ \overline{x}+E)

i.e.\ (3.1-0.20, 3.1+0.20)=(2.90,\ 3.30)

3 0
4 years ago
A stadium has 50 comma 00050,000 seats. Seats sell for ​$3030 in Section​ A, ​$2424 in Section​ B, and ​$1818 in Section C. The
Mariulka [41]

A= B+C

As given, A+B+C = 50000 seats

A+(B+C) = 50000

2A = 50000

A= 25000 seats

Now section A sells seats at $30 each

So, 25000\times30=750000

Now, B+C = 25000

B = 25000-C

B sells at $24 and C sells at $18

So, 24B+18C = 538800

Now as section A incurs an amount of $750000 from booking, so B and C will incur 1288800-750000 = 538800 where $1288800 is the total booking amount.

24B+18C = 538800

24(25000-C)+18C=538800

600000-24C+18C=538800

6C = 61200

C = 10200

Now, B = 25000-C

B = 25000 - 10200 = 14800

Hence, section A has 25000 seats

Section B has 14800 seats

Section C has 10200 seats




5 0
4 years ago
Which set of side lengths is from a right triangle? A- 10,18,24 B- 9,12,15 C- 6,9,14 D- 4,8,10
dangina [55]
<span>the sum of squares of two smaller sides equals the square of the largest side, it's right triangle
</span>
9^2 + 12^2 = 25^2
81 + 144 = 225
225 = 225

answer is <span>B- 9,12,15</span>
3 0
3 years ago
Geometry &gt; 0.6 Area of sectors XZQ
Ratling [72]

Answer:

4π mi²

Step-by-step explanation:

s = (∅/360) * πr²

s = (135/360) * π(4²)

s = (135/360)(16) * π

s = 4π mi²

3 0
3 years ago
Linear Transformations<br><br> To reflect a linear function about the y-axis, the slope is what
baherus [9]

Answer: Multiplied by -1

Example:

Let's say we had the linear function y = 2x+5

Reflecting this over the y axis means we replace every x with -x and simplify

y = 2x+5 becomes y = 2(-x)+5 and that simplifies to y = -2x+5

The y intercept stays the same the whole time. This is because the y intercept is on the mirror line of the y axis. Stuff on the mirror line does not move.

Notice the jump from the old slope (2) to the new slope (-2) has us multiply by -1.

4 0
3 years ago
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