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3 years ago

3. A rectangular prism has dimensions of , 2, and in.

Mathematics

2 answers:

il63 [147K]3 years ago

7 0

Hello, I Am BrotherEye

Answer: 28 cubes

Step-by-step explanation:

The answer to part a should by 1/2 inch because the cube must fit within the smallest dimension of the rectangular prism. If the cube were larger, it would not fit inside the 1/2 inch length.

1. Four 1/2 inch cubes would add up to the 2 inch side of the rectangular prism.

2 ÷ 1/2 = 4

2. Seven 1/2 inch cubes would add up to the 7/2 inch side of the rectangular prism.

7/2 ÷ 1/2 = 7

This means that four rows of seven 1/2 inch cubes can fit within the rectangular prism.

3. Multiply.

7 · 4 = 28 cubes

Best Of Luck

kodGreya [7K]3 years ago

4 0

Answer:

(b). 3.5

(c). 28 cubes

Step-by-step explanation:

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Please help me answer it for 10 free points.

Tanya [424]

Answer:

minimum temp: 278 degrees. Maximum temp: 292 degrees

Step-by-step explanation:

First, what goes in the absolute value? It is the difference between 285 and the actual temperature, because this needs to be no larger than 7. Your starting equation will look like this.

$| x-285| \leq 7$

You then have to split this into 2 different equations.

$x-285 \leq 7$ and $x-285 \geq -7$

The reason the second one is flipped an negative is because for it to be no more than 7 degrees below, the difference will need to be closer to zero, which means greater than -7.

Now you simply solve your 2 separate equations.

Starting with the first one:

$x-285 \leq 7\\ +285 and +285$

$x \leq 292$

And the second equation:

$x-285 \geq -7 \\ +285 and +285$

$x\geq 278$

3 0

4 years ago

Read 2 more answers

The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which functi

FromTheMoon [43]

Answer:

1.) y = 1.10(x – 1) + 1.35

Step-by-step explanation:

When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...

y = 1.10(x -1) +1.35

_____

Comment on the function rule

Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.

4 0

4 years ago

I know this is the math section, but does anyone here take psychology?? if you do i really need some help please..

drek231 [11]

1. Even though the Greeks did not rely on a systematic study, what method did they use to begin to know the world? Observation.
They would observe the world around them and base their conclusions based on such observations.
2. What is dualism? The view that the physical and mental are separate and distinct. Dualism is about splitting a whole into two parts - a human is made of body and mind, which is the idea that dualism proposes.

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3 years ago

Help me answer this question please

Klio2033 [76]

Answer:

The answer is C.

Step-by-step explanation:

Just go to Desmos.com and plug it in.

7 0

4 years ago

Read 2 more answers

Last year, a comprehensive report stated that 28% of businesses in the northeast of Ohio were considered highly profitable. This

Alik [6]

Answer:

$z=\frac{0.38 -0.28}{\sqrt{\frac{0.28(1-0.28)}{50}}}=1.575$

$p_v =2*P(z>1.575)=0.115$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of businesses were highly profitable is not significantly different from 0.28 or 28%.

Step-by-step explanation:

Data given and notation

n=50 represent the random sample taken

X=19 represent the businesses were highly profitable

$\hat p=\frac{19}{50}=0.38$ estimated proportion of businesses were highly profitable

$p_o=0.28$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of businesses were highly profitable is different from 0.28 or no, the system of hypothesis is.:

Null hypothesis: $p=0.28$

Alternative hypothesis: $p \neq 0.28$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info required we can replace in formula (1) like this:

$z=\frac{0.38 -0.28}{\sqrt{\frac{0.28(1-0.28)}{50}}}=1.575$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>1.575)=0.115$

4 0

4 years ago