A 99% confidence interval will be wider compared to a 95% confidence interval. This is because while you don't know what the true value of mu is, you are more confident that the parameter is in the interval.
In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.
Answer:
x = 41 and y = 76
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 8 inches
Width = 5 inches
Height = 2 inches
Volume of rectanglular prism = length × width × height
= 8 inches * 5 inches * 2 inches
= 80 inches ³
Dimensions of another rectangular prism:
Length = 16 inches
Width = 10 inches
Height = 10 inches
Volume of rectangular prism B = length × width × height
= 16 inches * 10 inches * 10 inches
= 1,600 inches ³
Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A
= 1,600 inches ³ ÷ 80 inches ³
= 20
Number of prism A that fits into prism B = 20
The volume of a rectangular prism is its length times width times height, or algebraically,

. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute

into the formula for volume. You get

, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get

. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule

, if n is non-negative. The opposite applies so that

. For your final answer, you write

. This corresponds to
answer choice B.
Answer:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J