Answer:
There are 9 boys and 12 girls in mrs Clark's class
Step-by-step explanation:
We are given that mrs Clark has 21 students, of which 3/7 are boys
In order to find the number of boys, we multiply 21 by 3/7 which results in 9
This means there are 9 boys and then we just simply subtract 9 from 21 in order to find the number of girls 21-9=12
therefore there are 9 boys and 12 girls in mrs Clark's class
Answer:
perpendicular = 10.24 cm
Step-by-step explanation:
by pythagorus theorem,

( where, h = hypotenuse, b = base,
p = perpendicular )
so,
=》

=》

=》

=》

perpendicular = 10.24 ( root 105 )
Answer:
Options B,C and E are correct choices.
Step-by-step explanation:
We are asked to find correct answers for the given box and whisker plots.
Let us our options one by one.
A. This option is false as lowest value for children's cereals is 30 and highest value for adults is 35.
B. This option is correct. We can see our upper value for combined range will be 60 and lower value will be 5 and range is upper value- lower value.

C. Since we know that we can find spread of data by its range.


So option C is correct indeed.
D. This options is false because for adults mean and median are different while for children mean and median are same.
E. We can see that median for children's cereals is 45 and it is about 12 for adults.
We can see that
. So median amount of sugar in children's cereals is 3 times as much as the median amount of sugar in adult's cereals.
Therefore, options B,C and E are correct choices.
Answer:
y = -5x - 25
Step-by-step explanation:
Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)
y - 10 = -5(x -(-7))
y - 10 = -5(x + 7)
y - 10 = -5x - 35
y = -5x - 25
Answer:
(–5, –7)
Step-by-step explanation:
From the question given above, the following data were obtained:
Slope = 9/5
Coordinate 1 = (–10, –16)
x₁ = –10
y₁ = –16
Coordinate 2 = (x₂, y₂)
Next, we shall determine the change in x and y coordinate. This can be obtained as follow:
Slope = change in y–coordinate / change in x–coordinate
Slope = Δy / Δx
Slope = 9/5
9/5 = Δy / Δx
Thus,
Δy = 9
Δx = 5
Next, we shall determine the second coordinates as follow:
Δy = y₂ – y₁
Δx = x₂ – x₁
For x–coordinate:
x₁ = –10
Δx = 5
Δx = x₂ – x₁
5 = x₂ – (–10)
5 = x₂ + 10
Collect like terms
x₂ = 5 – 10
x₂ = – 5
For y–coordinate:
y₁ = –16
Δy = 9
Δy = y₂ – y₁
9 = y₂ – (–16)
9 = y₂ + 16
Collect like terms
y₂ = 9 – 16
y₂ = – 7
Coordinate 2 = (x₂, y₂)
Coordinate 2 = (–5, –7)