Answer:
The correct option is;
(3) The sample of track athletes show that there is a correlation between foot size and running speed
Step-by-step explanation:
The statements are analysed as follows;
(1) Smaller foot sizes cause track athletes to run slower.
The above statement is a conclusion and it infers more information than is contained in the question statement because there are other factors such as taller athletes run faster than average sized athletes
(2) The sample of track athletes shows a causal relationship between
foot size and running speed.
The above statement is similar to the one above as it is a milder conclusion and it infers more information than is contained in the question statement
(3) The sample of track athletes shows a correlation between foot size
and running speed.
The above statement is correct as is directly supported by the data as it is a statement made based directly the data
(4) There is no correlation between foot size and running speed in
track athletes.
The above statement is not supported by the available data.
Answer:
g=10 yards
Step-by-step explanation:
3/6=5/g
30=3g
g=10
Answer:
25 in x 15 in
Step-by-step explanation:
Given:
- Length = 3/5 the width
- Area = 375 in²
Let width = 
Therefore, length = 3/5
First create an equation for the area of the picture based on the given information for its width and length:
We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for to find the width of the enlarged picture:
Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of into the expression for length to find the length of the enlarged picture:
Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.
Answer:
independent, 1/4
Step-by-step explanation:
The events are independent because what occurs on the first flip does not affect the second flip
P(heads) = 1/2
P(heads, heads) = 1/2*1/2 = 1/4
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8
