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Ivenika [448]
3 years ago
14

What is the slope of the line shown?

Mathematics
1 answer:
Olin [163]3 years ago
4 0

By using two arbitrary points on the line, we can find the slope using the slope formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

We'll use the points (0, 4) and (5, 1) for this.

1 - 4 / 5 - 0

-3 / 5

The slope of the line is -3/5.

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Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8
drek231 [11]

Answer:

95% Confidence interval:  (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, \bar{x} = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)

(96.06,103.94) is the 95% confidence interval for  the population mean test score.

8 0
3 years ago
If Jeremy is in the 90th percentile in the main office test scores is 180 with a standard deviation of 15 which of the following
Alika [10]
199. 

the z score for the 90th percentile is 1.28, so you can solve the equation

\frac{x-180}{15} = 1.28

which gets you the 199
4 0
3 years ago
Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1
geniusboy [140]

Answer:

Step-by-step explanation:

eq. of directrix is y-1=0

let (x,y) be any point the parabola.

then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}

squaring

x²-12x+36+y²-4y+4=y²-2y+1

x²-12 x+40-1=4y-2y

2y=x²-12x+39=x²-12x+36+3

(x-6)²=2y-3

5 0
3 years ago
Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?
Akimi4 [234]

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

7 0
3 years ago
Read 2 more answers
Which expression has the fewest number of significant figures
Brums [2.3K]

Answer:

18.3

18.3 only has three significant figures while the other numbers have more

5 0
3 years ago
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