Answer:
D) a chi square test for independence.
Step-by-step explanation:
Given that we suspect that automobile insurance premiums (in dollars) may be steadily decreasing with the driver's driving experience (in years), so we choose a random sample of drivers who have similar automobile insurance coverage and collect data about their ages and insurance premiums.
We are to check whether two variables insurance premiums and driving experience are associated.
Two categorical variables are compared for different ages and insurance premiums.
Hence a proper test would be
D) a chi square test for independence.
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height
volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume
Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this
cones and cylinders
</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>
</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height
substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
£87.00
Emily's dad pays 3 parts of the meal
Divide £52.20 by 3 to find one part of the ratio
= £17.40 ← 1 part of the ratio
2 parts = 2 × £17.40 = £34.80 ← Emily's share
total cost = £52.20 + £34.80 = £87.00
Answer:
(5x²+2y² + 2xy)(5x²+2y²-2xy)
Step-by-step explanation:
25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)
One way is to use brute force (find bigger equivalent ratios and add them)
11:5
to make them bigger, we multiply both by the same number
11:5
11+5=16 nope
11:5 times 5 to both=55:25
add
55+25=80
we can just add the numbers before multiplying and then multiply after
11+5=16
16 times what=18
divide both sides by 16
1.125=what
we need to multiply each by 1.125
11:5 times 1.125 to both =12.375 : 5.625
12.375+5.625=18
a=12.375
b=5.625
Hope this helps :)
