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2 years ago

Help find the volume please

Mathematics

1 answer:

finlep [7]2 years ago

3 0

Volume of a Triangular Prism = base area x height

Area of a Triangle = 1/2 x length x width

First, we'll find the area of the base triangle. This is quite easy to do because we are given the length and width.

Length = 8

Width = 6

A = 1/2 x 8 x 6

A = 1/2 x 48

A = 24

Next, we'll plug the base area and the height into our formula.

Base area = 24

Height = 8

V = 24 x 8

V = 192

Answer: 192 m^3

Hope this helps!

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A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test

Sveta_85 [38]

Answer:

It can be concluded that participation in sports is dependent on grade level.

Step-by-step explanation:

In this case a Chi-square independence test for the data is to be performed at α = 0.01.

The hypothesis can be defined as follows:

H₀: The participation in sports is independent of grade level.

Hₐ: The participation in sports is dependent of grade level.

The data provided is:

Freshmen Sophomores Juniors Seniors

Yes 75 88 55 42

No 30 28 38 40

The formula to compute the expected frequencies is:

$E_{i}=\frac{i^{th}\ \text{Row Total}\ \times\ i^{th}\ \text{Column Total}}{N}$

The Chi-square statistic is:

$\chi^{2}=\sum {\frac{(O_{i}-E_{i})^{2}}{E_{i}}}$

Consider the Excel file attached below.

The value of Chi-square statistic is 16.244.

The degrees of freedom of the test are:

$\text{df}=(r-1)(c-1)$

$=(4-1)(2-1)\\=3\times 1\\=3$

Compute the p-value of the test as follows:

$p-value=P(\chi^{2}_{df}$

$=P(\chi^{2}_{3}$

*Use a Chi-square table.

p-value = 0.001 < α = 0.01

The null hypothesis will be rejected at 1% level of significance.

Thus, it can be concluded that participation in sports is dependent on grade level.

4 0

4 years ago

nida is buying a small storage box online. She sees a cube box with volume of 125cm^3. What is the length of each box edge?

aleksklad [387]

Answer:

5 cm

Step-by-step explanation:

Here, we want to get the length of each box edge

Let the length be s

Mathematically, the volume of a cube is s^3

Thus;

s^3 = 125

s^3 = 5^3

s = 5 cm

5 0

3 years ago

Pls help pls help plsss

uranmaximum [27]

Answer: I'm not sure but there's some explanation..

Step-by-step explanation:

K=11

T=20

Symbol I C

Hope this helps!

*You also need a pic

7 0

3 years ago

Can yall pls help, i need help

salantis [7]

distribute -9 to 2.7 and 1.55

-9x2.7= -24.3

-9x1.55= -13.95

then subtract -13.95 from -24.3

-24.3-(13.95)= -10.35

then add 3 to -10.35

answer= 7.35

5 0

3 years ago

Whats the explitic rule for the goemetric ? 4,8,16,32

Mila [183]

2**n. (That's two to the nth power: 2 to the first, 2 to the second (or two squared), 2 to the third (or two cubed), 2 to the fourth, etc.)

2**1 = 2 = 2
2**2 = 2 * 2 = 4
2**3 = 2 * 2 * 2 = 8
2**4 = 2 * 2 * 2 * 2 = 16

5 0

3 years ago