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lara [203]
2 years ago
10

Vicky did a survey to answer the following question: What is the average fitness score of grade 8 students? The mean fitness sco

re was 3.2 points. If all the students scored the same, what would be the fitness score of each student?
A. Cannot be determined
B. Greater than 3.2 points
C. Less than 3.2 points
D. 3.2 points
Mathematics
1 answer:
mario62 [17]2 years ago
3 0
The mean is calculated by adding up all of the data points and then dividing the sum by the amount of points added.

The mean fitness score was 3.2 points.  If all of the students scored the same thing (3.2 points) then this would be the fitness score of each student.

Thus, the answer is D. 3.2 points.
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In which scenario would someone want to use the Paste Link option?
Sergio [31]
The scenario in which someone would want to use the paste link is when Jimmy is wring an email to his friend, he copies and pastes a graph in a spreadsheet to his email to show his friend. This way the friend can follow the link to see the spreadsheet.
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2 years ago
Ben swims​ 50,000 yards per week in his practices. Given this amount of​ training, he will swim the​ 100-yard butterfly in 51.5
Elanso [62]

Answer:

MArginal productivity: \frac{dt}{dL}=-0.0002

We can interpret this as he will reduce his time an <em>additional </em>0.0002 seconds for every <em>additional </em>yard he trains.

Step-by-step explanation:

The marginal productivy is the instant rate of change in the result for an increase in one unit of a factor.

In this case, the productivity is the time he last in the 100-yard. The factor is the amount of yards he train per week.

The marginal productivity can be expressed as:

\frac{dt}{dL}

where dt is the variation in time and dL is the variation in training yards.

We can not derive the function because it is not defined, but we can approximate with the last two points given:

\frac{dt}{dL}\approx\frac{\Delta t}{\Delta L} =\frac{t_2-t_1}{L_2-L_1}=\frac{44.6-46.4}{70,000-60,000}=\frac{-2.0}{10,000}=-0.0002

Then we can interpret this as he will reduce his time an <em>additional </em>0.0002 seconds for every <em>additional </em>yard he trains.

This is an approximation that is valid in the interval of 60,000 to  70,000 yards of training.

6 0
1 year ago
Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position
lakkis [162]
<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2  \\ BO^2=9+16  \\ BO^2=25  \\ BO=5.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8

Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>\sin \theta=-0.8 .





3 0
2 years ago
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the
anygoal [31]

Answer:

<u>The correct answer is C. 14.6 feet</u>

Step-by-step explanation:

Information given to solve the case:

Length of the ladder = 15 feet

Distance from the base of the wall = 3.5 feet

Using the Pythagorean theorem for finding the height, because this is a right triangle:

h² = Length of the ladder ² - Distance from the base of the wall ²

h² = 15 ²  - 3.5 ²

h² = 225  - 12.25

h² = 212.75

h = √ 212.75

h = 14.59

<u>h = 14.6 feet (Rounding to one decimal place)</u>

4 0
2 years ago
Read 2 more answers
Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. Wh
sashaice [31]

The answer would be 1/15.

Find the greatest common multiple of each fraction, then add them. You will get 1/15 out of it.

3 0
2 years ago
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