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3 years ago

What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?

1 answer:

4 0

The equation is $y = -5x + 2$ . This is because the slope form is y = mx + b, and if -5 is the slope, -5 = m. 2 is the y-intercept, and the y-intercept is b.

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In a poll, 1,004 adults in a certain country were asked whether they favor or oppose the use of "federal tax dollars to fund m

WARRIOR [948]

Answer:

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds are dependent of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error, while the upper bound is the margin of error added to the sample mean.

The confidence interval is likely to contain the true value of the population parameter.

In this question:

Sample mean: 48%

Margin of error: 4%

48 - 4 = 44%

48 + 4 = 52%

The range of values likely to contain the true value of the population parameter is between 44% and 52%.

7 0

3 years ago

Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri

Marat540 [252]

Answer:

The value is $\sigma = 8.5$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 9.7$

The proportion is $P(X >x) = 0.2245$

The value considered is $x = 11.6$

Generally given that the speed measurement is normally distributed we have that

$P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245$

Generally

$\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )$

$P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245$

Hence

$\frac{ 11.6 - 9.7}{ \sigma} = 0.2245$

$\sigma = 8.5$

6 0

3 years ago

Kirsten is driving to a city that is 275 miles away. When Kirsten left home, she had 10 gallons of gas in her car. Assume that h

Snowcat [4.5K]

Answer:

(a). Assuming consumption is only dependent upon miles driven, the function is defined as :

Amount of gas left after driving x miles :

$f(x)=10-\frac{x}{25}$

(b). The y-intercept is obviously 10. This represents the initial gas in the tank, 10 gallons.

(c). The x-intercept is the solution to

$0=10-\frac{x}{25}\\\\10=\frac{x}{25}\\\\\implies x=250$

The x-intercept is 250. It represents the "distance taken by car to empty the tank".

3 0

3 years ago

In January of 2003(group 1), 1188 out of 1500 spots were bare ground (no vegetation). Find the sample proportion of bare ground

Nikitich [7]

Answer:

$n= 1500$ represent the random sample selected

$X= 1188$ represent the number of pots that were bare ground (no vegetation

$\hat p=\frac{X}{n}$

And replacing we got:

$\hat p=\frac{1188}{1500}= 0.792$

So then the sample proportion of bare ground spots is 0.792 for this sample

Step-by-step explanation:

We have the following info given from the problem:

$n= 1500$ represent the random sample selected

$X= 1188$ represent the number of pots that were bare ground (no vegetation)

And for this case if we want to find the sample proportion of bare ground spots we can use this formula:

$\hat p=\frac{X}{n}$

And replacing we got:

$\hat p=\frac{1188}{1500}= 0.792$

So then the sample proportion of bare ground spots is 0.792 for this sample

7 0

3 years ago

a skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $67. A season ski pass costs $350. The s

weqwewe [10]

The equation for the season pass would look like:
y=25x+350
Daliy pass:
y=67x+25x or y=92x
x is the amount of days and y is the total cost.
92x=25x+350 This equation will be how many days the cost will be equal
67x=350
x=5.223
The skier would have to go up 6 days to start saving from the season pass

4 0

3 years ago