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2 years ago

Find the volume of the triangular pyramid to the nearest whole number (number only in your answer) Please help....

Mathematics

2 answers:

sertanlavr [38]2 years ago

7 0

Answer:

Volume of pyramid = 317 units³

Step-by-step explanation:

Volume do triangular pyramid = ⅓ × Base Area × height of pyramid

Base area = ½*bh = ½*8*14 = 56 units²

Height of pyramid = 17

Volume of pyramid = ⅓ × 56 × 17

Volume of pyramid = 317 units³ (to nearest whole number)

Tems11 [23]2 years ago

4 0

Answer:

Step-by-step explanation:

Volume of the triangular pyramid=1/3 Bh

B=area of the triangular base, B=1/2 bh=1/2 (14(8)=56

h= height of the pyramid =17

V=1/3 Bh =1/3 (56) (17)=317.33

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In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio

almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0

2 years ago

Does anyone know this?

Y_Kistochka [10]

1/3 is equal to 33% because there are three different possibilties

8 0

2 years ago

Estion

dalvyx [7]

Using the Poisson distribution, it is found that there is a 0.507 = 50.7% probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Considering the average of 15 birds every 2 hours during daylight hours, the mean for a 45-minute period is given by:

$\mu = 15 \times \frac{45}{120} = 5.625$

The probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours is given by:

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.625}(5.625)^{0}}{(0)!} = 0.004$

$P(X = 1) = \frac{e^{-5.625}(5.625)^{1}}{(1)!} = 0.02$

$P(X = 2) = \frac{e^{-5.625}(5.625)^{2}}{(2)!} = 0.057$

$P(X = 3) = \frac{e^{-5.625}(5.625)^{3}}{(3)!} = 0.107$

$P(X = 4) = \frac{e^{-5.625}(5.625)^{4}}{(4)!} = 0.150$

$P(X = 5) = \frac{e^{-5.625}(5.625)^{5}}{(5)!} = 0.169$

Then:

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.004 + 0.02 + 0.057 + 0.107 + 0.15 + 0.169 = 0.507$

0.507 = 50.7% probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

3 0

1 year ago

What is the perimeter of the triangle?<br> 2(x+3)<br> 6x<br> 4(x – 10)

san4es73 [151]

Answer:

Step-by-step explanation:

12x-34

3 0

2 years ago

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Please help this is for my final grade. exponential functions

Tamiku [17]

Answer:

x-3 ,

Step-by-step explanation:

3 0

2 years ago

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