A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.
<h3>What is volume?</h3>
LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.
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Answer: y= -2x + 12
or f (y ) = 6 - 
Step-by-step explanation:
just subtract the 2x to get the y alone
Step-by-step explanation:
an arithmetic sequence means that every new term is the old term plus a constant number.
in our case that constant is +50.
and our starting value a0 = 250
so, the first 4 terms are
$250, $300, $350, $400
for the function formula we know
a0 = $250
a1 = a0 + 50 = 250 + 50 = $300
a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350
a3 = a2 + 50 = a0 + 3×50 = $400
so, we see
an = a0 + n×50 = 250 + 50n
therefore,
f(n) = 250 + 50n
after 9 months saving we reached a9, meaning n=9.
f(9) = 250 + 50×9 = 250 + 450 = $700
Given m = 5 and point (2,4), the point-slope form is
y - y1 = m(x - x1)
y - 2 = 5x - 4
y = 5x - 4 + 2
y = 5x - 2
That is the line of the equation.
Answer:
we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
Step-by-step explanation:
We are given;
Population mean; μ = 31.2
Sample mean; x¯ = 31.4
Sample size; n = 230
standard deviation; σ = 2.5
Significance level = 0.05
Let's define the hypotheses;
Null hypothesis; H0: μ = 31.2
Alternative hypothesis; Ha: μ ≠ 31.2
Formula for the test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (31.4 - 31.2)/(2.5/√230)
z = 0.2/0.4564
z = 0.44
From online p-value from z-score calculator attached and using;
z = 0.44; two tailed hypothesis; significance value = 0.05
We have;
P-value = 0.659937
This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
