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dangina [55]
3 years ago
8

Calculate the volume of the triangular pyramid below.

Mathematics
1 answer:
eduard3 years ago
8 0

Answer:

90

Step-by-step explanation:

1/2x10x3.6=18

18x5=90

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Find the 52nd term of the arithmetic sequence 5, 9, 13
IRINA_888 [86]

Answer:

209

Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is a_{n} = d(n-1) + a_{1}, where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given into the formula.  

We are trying to solve the value of the 52nd term. This makes n = 52. The first number of the sequence is 5, so a1 is 5. Finally, d is 4 because we are adding 4 to each number in the sequence.

Therefore, our resulting equation would be a_{n} =4(52-1)+5, which equals 209.

6 0
3 years ago
A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi
rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a  statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

P(9

Recall Chebyshev's inequality that

P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\

Comparing with the Ii equation which is appropriate here we find that

\mu =14.5

Next what we find is

k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071

Thus from the given information we find that

\mu = 14.5\\\sigma = 5.071\\k = 1.084

5 0
4 years ago
Eric works mowing lawns and babysitting. He earns $7.90 an hour for mowing and $6.80 an hour for babysitting. How much will he e
slega [8]

Answer:

$38.40

The drawings will help

7 0
4 years ago
Complete the factored form.<br> 7x² +37x + 10 = (7x + 2)()
Ira Lisetskai [31]
The completed factor is (7x+2) (x+5)

7 0
3 years ago
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy
klemol [59]

she had 98 but spent 10.85 so she now has:

98-10.85 = 87.15

skateboard cost 64

87.15 -64 = 23.15 is what she can spend on cookies

23.15 / 1.65 = 14.03 she can't buy more than 14 cookies

 so answer is c. n ≤ 14

5 0
4 years ago
Read 2 more answers
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