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vladimir1956 [14]
2 years ago
9

The net below shows the dimensions of a triangular pyramid with equilateral base. The height of each triangle is 7.2 and the bas

e is 5 what is the area\ triangular pyramid?
Mathematics
1 answer:
Doss [256]2 years ago
6 0

Answer:

25.98units³

Step-by-step explanation:

Area of the triangular prism = Base Area * Height of the pyramid

A = BH/3

Get the area of the triangle

Area of the triangle = 1/2 Base * height

Base of the triangle = 5

height = √5²-2.5²

h = √25-6.25

h = √18.75

h = 4.33

Area of the triangle = 1/2 * 4.33 * 5

Area of the triangle = 10.82

Base area = 10.82

Get the area of the triangular pyramid

Area of the triangular pyramid = 10.82*7.2/3

Area of the triangular pyramid = 25.98units³

Hence the area triangular pyramid is 25.98units³

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Hannah claims that people who live in southern states spend 9 hours more per week outside than do people in northern states. She
vova2212 [387]

Answer:

b. Hannah is likely to be incorrect because 9 is not contained in the interval.

Step-by-step explanation:

Hello!

Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.

The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.

In this example, the 99%CI resulted [0.4;8.0]hs

Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.

Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9

Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed

H₀: μ₁ - μ₂ ≤ 9

H₁: μ₁ - μ₂ > 9

And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.

I hope this helps!

6 0
3 years ago
a grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 5 apples. each apple above the first level
g100num [7]

The arrangement of the apples in the stack is in a sequence that can be

used to find the number of apples in each row and in the stack.

Correct response:

  • The number of apples in the stack are <u>85 apples</u>

<h3>How to find the sum of a sequence</h3>

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

by 1 compared to the row on which the apple rests, as follows;

In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85

  • The number of apples in the tack = <u>85 apples</u>

Learn more about sequence and series here:

brainly.com/question/13043887

4 0
2 years ago
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
jolli1 [7]

Answer:

let R represent red hair

let G represent green eyes

<em>from</em><em> </em><em>Baye's</em><em> </em><em>theorem</em><em>:</em>

<em>P( \frac{R}{G} ) =  \frac{P(RnG)}{P(G)}</em>

P(RnG) = 5

P(G) = { \sum}(green \: hair) \\  = (3 + 5 + 5) \\  = 13

Therefore:

P( \frac{R}{G} ) =  \frac{5}{13}  \\  = 0.385

The conditional relative frequency = 0.385

4 0
3 years ago
 The difference between the product of four and a number and six
Olin [163]
Answer- 4x-6
explain- i got it right
5 0
3 years ago
HELP ASAP.
8090 [49]

Hey there!

#1 ⬇️

6 × 6 × 6 × 6 × 6

6 × 6 = 36

36 × 36 × 6

36 × 36 = 1,296

1296 × 6 = 7,776

Answer: 7,776 ☑️

#2 ⬇️

3 × 3 × 3 × 3

3 × 3 = 9

9 × 9 = 81

Answer: 81 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6 0
2 years ago
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