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sineoko [7]
3 years ago
14

What is the slope of the line between

Mathematics
2 answers:
MrRa [10]3 years ago
8 0
Slope formula: \frac{y2-y1}{x2-x1}
Apply
\frac{-14-0}{2-0} = - \frac{14}{2} = -7 = slope
Oxana [17]3 years ago
5 0
Slope = (change in y)/(change in x)
.. = (-14 -0)/(2 -0)
.. = -14/2
slope = -7
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A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
adell [148]

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles   /3 hours *  1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

8 0
3 years ago
Read 2 more answers
Help me I need answers?:
JulsSmile [24]

Answer:

46.5 cm

Step-by-step explanation:

63 ÷ 2= 31.5 + 15 = 46.5

4 0
3 years ago
Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
Write 0.8 as a fraction.
Scrat [10]
0.8=0.8/1=8/10=4/5
not one of them
but,

2/9=0.2222222222
4/9=0.444444444444
7/9=0.7777777777
8/9=0.88888888888

I  think you meant 0.8 repeating so

answer is D
5 0
2 years ago
Write the slope intercept form of the r question of the line parallel to the graph of 2x+y=5 that passes through (0,1)
Fofino [41]

Step-by-step explanation:

first let's get the original line in slope intercept form.

the vegetal slope intercept form is

y = ax + b

a is the slope, b is the y-intercept.

2x + y = 5

y = -2x + 5

there !

a line parallel to this line must have the same slope (-2).

but it will intersect with the y-axis at a different point.

the y-intersect is the y value when x = 0.

the given point (0, 1) is already that y-intersect (because x=0).

so, the desired parallel line function is

y = -2x + 1

if we had a different point of the line, e.g. (4, -7), we would go back to the general equation

y = ax + b

put in the slope we know (-2)

y = -2x + b

and then put in the x and y cakes if the point and calculate b

-7 = -2×4 + b

-7 = -8 + b

b = 1

and then we get again

y = -2x + 1

4 0
2 years ago
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