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Maru [420]
3 years ago
6

Abe made rectangular prism that is 48 cubic inches. what is 1 set of possible dimension for Abe's rectangular prism?

Mathematics
1 answer:
julsineya [31]3 years ago
5 0
You just need three numbers that multiply to make 48. Because the volume of  a rectangular prism is abh.
1 1 48
2 1 24
3 1 16
4 1 12
6 1 8
2 3 8
2 2 12
2 4 6
3 4 4
3 2 8
etc
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The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest t
NikAS [45]

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

3 0
2 years ago
the highest recorded temperature was 134 degrees fahrenheit. The lowes is -128.6 degrees fahrenheit. What is the difference betw
Mazyrski [523]

Answer:

263.4 degree difference

Step-by-step explanation:

134+.4

134.4+128=262.4

8 0
3 years ago
When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate
svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

  • Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

8 0
2 years ago
A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a
Ronch [10]

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that n = 12

She feels that there is a 30% chance of selling any one property during a week.

This means that p = 0.3

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

8 0
3 years ago
Subtract this problem
galina1969 [7]
I think it's 1.90. I am not fully sure about the answer if it's wrong.
6 0
2 years ago
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