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Bond [772]
3 years ago
12

A random sample of CO2 levels in a school has a sample mean of x¯=598.4 ppm and sample standard deviation of s=86.7 ppm. Use the

Empirical Rule to determine the approximate percentage of CO2 levels that lie between 338.3 and 858.5 ppm. Round your answer to the nearest tenth.
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

99.7%

Step-by-step explanation:

we start by getting the z-scores for the values given

We can get the z-scores using the formula below;

z-scores = (x-mean)/SD

for 338.5;

z = (338.5-598.4)/86.7 = -2.99 approximately-3

for 858.5;

z = (858.5-598.4)/86.7 = 3

so we want to get the percentages that lie within 3 standard deviations from the mean

According to the empirical rule, the percentages within 3 SD of the mean is;

100-0.15-0.15 = 99.7%

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Which characteristics describe the scatterplot? Check all that apply.
denpristay [2]

Answer:

1. Negative Correlation

3. Strong Correlation

5. Linear

Step-by-step explanation:

We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.

Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.

We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.

We can also see that the slope of the line connecting all data points is approximately -1, which represents a strong negative correlation, therefore, 3rd option is correct as well.

If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.

6 0
3 years ago
Read 2 more answers
There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.
Genrish500 [490]

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

5 0
3 years ago
Helps pls :-/<br> number 12<br> any help is greatly appreciated!
Alexandra [31]
X = 5, that’s the answer to question 12
6 0
3 years ago
Please help me solve these are quadratic equations: I​
julia-pushkina [17]

Answer:

\boxed {\boxed {\sf a= 3, b=7, c=2}}

\boxed {\boxed {\sf Y-intercept = c }}

\boxed {\boxed {\sf Minimum}}

Step-by-step explanation:

a. a, b, c

Quadratic equations in standard form are written as:

f(x)= ax^2+bx+c

The exponents are listed from greatest to least. The quadratic is already in this form, so match up the variables and values in the equation.

f(x)= 3x^2+7x+2

a=3 \\b=7 \\c=2

b. Y-intercept

The y-intercept for a quadratic is c.

You can also substitute 0 in for x, because the y-intercept occurs when the quadratic crosses the y-axis (at x=0).

f(0)= 3(0)^2+7(0)+2

f(0)=3(0)+7(0)+2\\f(0)= 0+0+2\\f(0)=2

We know that c=2, so the y-intercept is c.

c. Maximum/minimum

The entire quadratic is positive, so the quadratic opens up and has a minimum.

8 0
3 years ago
Use y = mx + b to determine the equation of a line with a slope -5, passing through the point (-2,4).
Maksim231197 [3]

Answer:

y=-5x-6

Step-by-step explanation:

Hi there!

In y=mx+b, m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into y=mx+b:

y=-5x+b

Now, to solve for b, plug in the given point (-2,4):

4=-5(-2)+b\\4=10+b

Subtract 10 from both sides to isolate b:

4-10=10+b-10\\-6=b

Therefore, the y-intercept of this line is -6. Plug this back into y=-5x+b as b:

y=-5x-6

I hope this helps!

4 0
3 years ago
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