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3 years ago

What is the volume of a rectangular prism with the base area of 15m2 and height of 5cm?

Mathematics

2 answers:

jeka57 [31]3 years ago

7 0

Answer:

Rectangular Prism Volume = length x width x height

Rectangular Prism Volume = 15 x 5

Rectangular Prism Volume = 75 cubic meters

Step-by-step explanation:

koban [17]3 years ago

3 0

Answer:

The correct answer is option C. 75 m³

Step-by-step explanation:

Points to remember

Volume of rectangular prism = Base area * Height

To find the volume of given prism

Here Base area = 15 m² and

Height = 5 m

Volume = base area * height

= 15 * 5

= 75 m³

Volume of prism = 75 m³

Therefore the correct answer is option C. 75 m³

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tom had a platter of chocolate wafers. he ate 5 of them and then gave his brother 3 he then moved on to his baseball team of 8 m

Aloiza [94]

Tom started with total 72 chocolate wafers.

Explanation

The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : $1, 3,5,7,9,11,13,15$

The above sequence is arithmetic sequence with first term(a₁)= 1 and common difference (d) = 2

Formula for Sum of first $n$ terms in arithmetic sequence is....

$S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]$

So, the Sum of 8 terms in that sequence....

$S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64$

That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.

So, the total number of chocolate wafers at starting $=64+5+3=72$

6 0

4 years ago

You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawi

8090 [49]

Answer:

$Probability = \frac{1}{11}$

Step-by-step explanation:

Given

$Blue = 4$

$Green = 6$

$Red = 2$

$Total = 12$

Required

Determine the probability of drawing red and green without replacement

This is calculated as follows:

$Probability = P(Red\ and\ Green)$

$Probability = P(Red)\ and\ P(Green)$

$Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}$

We used Total - 1 because it's a probability without replacement:

$Probability = \frac{2}{12} * \frac{6}{12- 1}$

$Probability = \frac{2}{12} * \frac{6}{11}$

$Probability = \frac{1}{6} * \frac{6}{11}$

$Probability = \frac{1}{11}$

Hence, the required probability is 1/11

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3 years ago

A professor teaches a certain section of material using a lot of examples with sports and cars to illustrate. He is concerned th

ser-zykov [4K]

Answer:

Step-by-step explanation:

Let X represent for males and Y for females

Given that

Group Group One Group Two

Mean 84.00 78.00

SD 4.00 8.00

SEM 1.26 2.53

N 10 10

SEM is calculated as $\frac{s}{\sqrt{n} }$ for each group

$H_0: \bar x = \bar y\\H_a: \bar x \neq \bar y$

(Two tailed test at 5% significance level)

$t = 2.1213\\ df = 18\\ standard error of difference = 2.828\\p=0.0480$

Since p <0.05 we reject H0 and there is significant difference between the groups.

A.Exam scores were significantly higher in the male group, t(18) = 2.83, p < .05B

4 0

3 years ago

Help please if you can? If f(x) = -2x - 5 and g(x) = x^4 what is (gºf)(-4)

Cerrena [4.2K]

Answer:

Step-by-step explanation:

g(x) = x^4 put f(x) in for x in g(x)

g(f(x)) = (f(x))^4 Substitute the value for f(x) which is (-2x - 5) put - 4 in for the x in f(x)

g(f(x) = (-2x - 5)^4

g(f(x)) = (- 2*(- 4) - 5)^4 Combine

g(f(x)) = (8 - 5)^4 Subtract

g(-4) = (3)^4 Raise 3 to the 4th power

g(-4) = 81 Answer.

3 0

4 years ago

Please answer a and b, I will give brainliest!!!!!

aniked [119]

Answer:

Step-by-step explanation:

because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)

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3 years ago