Answer:
115°
Step-by-step explanation:
Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.
Section B represents 32% of the pie chart, therefore, number of degrees for section B =
Section B = 115° (to the nearest whole number)
Answer:
Histogram
Step-by-step explanation:
Answer:
Average quality rating was 4.54+-0.00549
The estimate for the average quality rating from the production line, given this sample, is 4, with a degree of uncertainty expressed by a 95% confidence interval of 4 ± 0.031. The confidence interval represents a range whereby we can be 95% confident that the true mean lies within.
Since you have the average (mean) quality rating and standard deviation from a sample size of 1000 widgets, we can use these statistics to establish an estimate for the entire production line. The estimate of the average quality rating is given as 4. However, to account for the uncertainty of our estimate due to it being based upon a sample rather than the entire population, we use the concept of a confidence interval.
The formula for a confidence interval is mean ± z* (standard deviation/sqrt(n)), where z is a z-score corresponding to our desired level of confidence. For simplicity, we can use a z-score of 1.96 to represent a confidence level of 95%.
Therefore, the uncertainty in this estimate (at 95% confidence) is calculated as:1.96 * (0.5/sqrt(1000)), approximately equal to 0.031. So the confidence interval for the average quality of widgets is 4 ± 0.031.
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Exercise will be the independent variable while weight will be the dependent variable.
Nowadays most of us do exercise in order to burn extra calories, that in turn, reduce the weight of a person. Some exercises even increase the weight of a person.
Our weight will increase or will remain constant. In a few cases, it will decrease the weight.
So it is clear that weight depends on many factors. one of those factors is exercise.
So weight is the dependent variable while exercise will be an independent variable.
Therefore, exercise will be the independent variable while weight will be the dependent variable.
To get more about variables refer to the link,
Answer:
Independent
dependent
Step-by-step explanation:
The scenario illustrates that the weight for people who exercises regularly tends is normal or below normal. It means that the weight of a person depends on how much a person exercises i.e. if person exercises more the weight is reduced and if not then weight will be gained. Thus, exercise is the independent variable while weight is dependent variable.
The parametric equations are:
x = -4 + 5t
y = 4 + 5t
z = -2 - 6t
The given direction vector is:
The direction vector can also be written as:
The point X₀ = (x₀, y₀, z₀) = (-4, 4, -2)
The parametric equation is of the form:
This is:
The parametric equations are therefore:
x = -4 + 5t
y = 4 + 5t
z = -2 - 6t
Learn more here: brainly.com/question/13072659
Answer:
x=5t-4 , y=5t+4 , z=-6t-2
Step-by-step explanation:
So we are going to use (-4,4,-2) as an initial point, p.
The direction vector is v=5i+5j-6k or <5,5,-6>.
The vector equation is r=vt+p.
That means we have r=<5,5,-6>t + <-4,4,-2>.
So the parametric equations are
x=5t-4
y=5t+4
z=-6t-2
39.25 square inches
314 square inches
157 square inches
274.75 square inches of pizza are remaining. Option A is the correct option.
What is π in math?
The ratio of a circle's diameter to its circumference, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous mathematical and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two integers.
Given that, the diameter of large pizza is 20 inches.
The radius of a circular shape is half of the diameter.
The radius of the pizza is (20 inches)/2 = 10 inches.
Area of a circular shape is ∏r² .
The area of the pizza is 3.14×10² = 314 in²
The total part of the pizza is considered as 1.
One-eighth of the pizza is eaten, and the remaining portion is (1-1/8) = 7/8.
The area of remaining pizza is
314 in² × (7/8)
= 274.75 square inches
To learn more about area of a circular shape click on the below link:
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x - 3y = 3
Does this system have a solution?
Answer:
No solution
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write out systems of equations
-x + 3y = 3
x - 3y = 3
Step 2: Rewrite equations into slope-intercept form
3y = 3 + x
y = 1 + x/3
-3y = 3 - x
y = -1 + x/3
Step 3: Rewrite systems of equations
y = x/3 + 1
y = x/3 - 1
Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.