Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the number of bottles of water he buys c represent his total cost
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Answer:
3.78+.75b=c
Step-by-step explanation:
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Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
Answers
Answer:
I will need to buy 22.5 pounds of turkey and pay $23.63
Step-by-step explanation:
Proportions
Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat
pounds of turkey.
There are going to be 15 people at the dinner, thus the total turkey needed is:
The turkey costs $1.05 per pound, thus the total cost is
22.5*$1.05 = $23.63
I will need to buy 22.5 pounds of turkey and pay $23.63
the box.
Answers
The slope of the line is 1/4.
What is slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given points:
(0, 6) and (8, 8)
Now, slope =
slope= ( 8- 6)/ (8-0)
slope = 2/8
slope= 1/4
Hence, the slope of the line is 1/4.
Learn more about slope of line here:
#SPJ2
Answer:
Step-by-step explanation:
The slope of a line can be seen as:
Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.
In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:
Therefore, the slope is .
This is true for any two points on the line.
:Done
*When you move up, the number will be positive . If you move down, the number will be negative
. If you move left, the number will be positive
. If you move right, the number will be negative
. Keep this in mind. It is very important.
**Always move along the y-axis first, then move along the x-axis. If you do it the other way, the slope will be wrong.
Answers
Answer:
volume = 1809 cm³
Step-by-step explanation:
The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:
If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.
ratio of height = 1/3
ratio of volume = (1/3)³ = 1/27
volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x
where
x = volume of the larger cylinder
x = 27 × 67
x = 1809 cm³
volume = 1809 cm³
Answers
Answer:
attached below
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
Hello!
The objective of this exercise is to test if the Y: "number of car deaths in one month" is affected by the variable X: "seat belt law"
The linear regression was estimated:
Coefficients: Estimate Std. Error t value Pr(> | t |)
(Intercept) 125.870 1.849 68.082 < 2e-16 *
Seatbelts -25.609 5.342 -4.794 3.29e-06 *
R-squared = 0.11
Then the estimated model is:
Yi= 125.870 - 25609Xi
a. Did the seat belt law make a difference?
Yes.
If the hypothesis is that the seat belt law reduces the number of car deaths:
H₀: β ≥ 0
H₁: β < 0
With α: 0.05
The p-value for the test is: 3.29e-06
The p-value is less than the significance level, the seat belt law modifies the average number of car deaths.
b. Is there a need to add more variables to the model?
Yes. According to the given model, the independent variable isn't good enough to explain the variability of the dependent variable, i.e. most of the variability of the dependent variable is given by the errors.
The investigator needs to add new variables or change the model to determine one that is a better predictor of the dependent variable.
c. How would you justify your answer with numbers?
To see if the independent variable is a good predictor of the dependent variable you have to look at the coefficient of determination. This coefficient gives you an idea of how much of the variability of the dependent variable is explained by the independent variable under the estimated model.
The value of R²= 0.11 or 11% means that only 11% of the variability of the number of car deaths is due to the seat belt law.
It looks like the variable "seat belt law" isn't a good regressor.
d. What possible independent/predictor variables could you add to this model?
X: "increasing of traffic controls"
X: "decreasing the speed limits"
X: "opening road safety courses in the communities"
I hope it helps!