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Leya [2.2K]
3 years ago
11

What is the y-intercept of the line passing though the point (9,-7) with a slope of -1/8

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

y-intercept (0, -47/8)

Step-by-step explanation:

Point slope equation form:

y + 7 = -1/8(x - 9)

y + 7 = -1/8 x + 9/8

y = -1/8 x + 9/8 - 56/8

y = -1/8 x - 47/8

y = mx + b where m=slope and b = y intercept

In this case, y intercept = -47/8

Answer:

y-intercept (0, -47/8)

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A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data
Rasek [7]

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\overline{x}=\frac{\Sigma x}{n}

\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}

\overline{x}= 2.08

Now, we estimate standard deviation:

s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }

s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }

s = 0.1564

For t-score, we need to determine degree of freedom and \frac{\alpha}{2}:

df = 12 - 1

df = 11

\alpha = 1 - 0.95

α = 0.05

\frac{\alpha}{2}= 0.025

Then, t-score is

t_{11,0.025} = 2.201

The interval will be

\overline{x} ± t.\frac{s}{\sqrt{n} }

2.08 ± 2.201\frac{0.1564}{\sqrt{12} }

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

8 0
3 years ago
A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the lengt
MrRissso [65]

Answer:

10 km

Step-by-step explanation:

volume of cube = s^3

1 m = 100 cm

volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3

Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.

1,000,000 cm = 10,000 m = 10 km

5 0
2 years ago
!!I'M BEING TIMED ANSWER QUICKLY!! What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0)
-BARSIC- [3]
The answer is (0,12) as the y-int
3 0
3 years ago
If ∠1 and ∠2 are complementary and m∠1= 17°, what is m∠2?
hichkok12 [17]
Complementary angles add up to 90*. Therefore, the logical answer would be 
D, 77.

5 0
3 years ago
What is 4 times 5 times 10
algol [13]

Answer:

200

Step-by-step explanation:

4x5+20    20x10=200

Have a wonderful day!

3 0
2 years ago
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