The only distribution that is negatively skewed is option A.
<h3>What is a negatively skewed distribution?</h3>
The term negatively skewed distribution refers to a distribution in which the values ten towards the right hand side of the mean. As such, there are more values on the right hand side of the distribution than there is on the left hand side.
From the diagram, the only distribution that is negatively skewed is option A.
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Answer:
x = -3
Step-by-step explanation:
3(x - 6)= -2 + 5(2x + 1)
= 3x - 18 = -2 + 10x + 5
= -18 = -2 + 7x + 5
= -18 = 7x + 3
= -21 = 7x
= -3 = x
= x = -3
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
There's 60 min, so 1/8 of 60
60/8= 7.5 minutes in 1/8 of 60
