To find the value of a variance add and subtract the variance from the original number.
The original number is 32 hot dogs.
The variance is 5 hot dogs.
32-5 = 27
32 + 5 = 37
This means he needs to eat between 27 and 37 hot dogs.
he inequality with variance is written as: 27 < h < 37
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
Answer:
P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913
Step-by-step explanation:
probability of getting 2 quarters?
ok
first draw: there are 20 quarters to choose from
second draw: there are 19 quarters left to choose
so Total coins are 65 coins
P(2 quarters) = P( 1st quarter)* P(2nd quarter)
P(2 quarters) = 20/65 * (19/64)
P(2 quarters) = 4/13 * 19/64
P(2 quarters) = 19/ (13*16) = 19/208
As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
Answer:
Given:
x-y=-4
2x+y=4
Step-by-step explanation:
x-y=-4
2x+y=4
add both the equation, we get
⇒ x-y=-4
2x+y=4
⇒3x=-4+4
⇒3x=0
⇒x=0
∴ to find the value of y, put the value of x in any one equation
⇒x-y=-4
⇒0-y=-4
⇒-y=-4
⇒y=4
∴ x=0, y=4
