Answer:
Jordan lives 18 miles away from the store
Step-by-step explanation:
Distance=speed × time
Where,
d= distance
s= speed
t= time
Total driving time takes half an hour
Distance=speed × time
time=Distance/speed
t=1.5
Speed 1=30 mph
Speed 2:=20 mph
t=d/s1 + d/s2
1.5=d/30 + d/20
1.5=20d + 30d / 600
1.5=50d/600
Cross product
1.5×600=50d
900=50d
Divide both sides by 50
900/50=d
18=d
Therefore,
d=18 miles
Jordan lives 18 miles away from the store
The correlation coefficient is -0.87; strong correlation
<h3>How to determine the correlation coefficient?</h3>
The given parameters are:
x = Time spent working out
y = lbs Overweight
Next, we enter the table of values in a graphing tool.
From the graphing tool, we have the following summary:
<u>X Values</u>
- ∑ = 27.1
- Mean = 2.71
- ∑(X - Mx)2 = SSx = 22.569
<u>Y Values</u>
- ∑ = 89
- Mean = 8.9
- ∑(Y - My)2 = SSy = 778.9
<u>X and Y Combined</u>
- N = 10
- ∑(X - Mx)(Y - My) = -114.19
<u>R Calculation</u>
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -114.19 / √((22.569)(778.9))
r = -0.8613
Approximate
r = -0.87
This means that the correlation coefficient is -0.87
Also, the correlation coefficient is a strong correlation, because it is closer to -1 than it is to 0
Read more about correlation coefficient at:
brainly.com/question/27226153
#SPJ1
Answer:
8 * (7 + 4)
See process below
Step-by-step explanation:
We start by writing each number in PRIME factor form:
56 = 2 * 2 * 2 * 7
32 = 2 * 2 * 2 * 2 * 2
Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8
Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:
56 = 8 * 7
32 = 8 * 2 * 2 = 8 * 4
We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:
56 + 32
8 * 7 + 8 * 4
8 * (7 + 4)
8 * (11)
88
9514 1404 393
Answer:
r = 0
r = -7
Step-by-step explanation:
There is no x in the equation, hence there are no x-intercepts.
__
If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.
The factors are r and (r+7).
The factor r is zero when ...
r = 0
The factor (r+7) is zero when ...
r +7 = 0 ⇒ r = -7
The "x-intercepts" are r=0 and r=-7.
