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Sonja [21]
4 years ago
13

What is the volume of this triangular pyramid?

Mathematics
1 answer:
Vaselesa [24]4 years ago
8 0

Answer:

1560 cubic inches

Step-by-step explanation:

18x20= 360

360x13= 4680

4680/3=1560

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Hello I would like to know how did you get 143 3/8
Katarina [22]

Answer:

142 3/8

Step-by-step explanation:

45 + 42 = 87

87 + 54 = 141

7/8 + 3/8 = 1 2/8

1 + 141 = 142

2/8 + 1/8 = 3/8

7 0
4 years ago
Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta
jarptica [38.1K]

Answer:

P(x < 535.8) = 0.64

P_{64} = 535.8

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64  

Calculation the value from standard normal z table, we have,  p(z

\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8

P(x < 535.8) = 0.64

P_{64} = 535.8

8 0
3 years ago
Which of the following is a root of the polynomial function below f(x)=x^3+X^2-7x+2
frosja888 [35]

Answer:f(x) = 2x³ - x² - 9x + 6

  0 = 2x³ - x² - 9x + 6

  0 = 2x³ + 3x² - 4x² - 3x - 6x + 6

  0 = 2x³ + 3x² - 3x - 4x² - 6x + 6

  0 = x(2x²) + x(3x) - x(3) - 2(2x²) - 2(3x) + 2(3)

  0 = x(2x² + 3x - 3) - 2(2x² + 3x - 3)

  0 = (x - 2)(2x² + 3x - 3)

  0 = x - 2    or    0 = 2x² + 3x - 3

+ 2      + 2           x = -3 ± √(3)² - 4(2)(-3)

  2 = x                                  2(2)

                          x = -3 ± √9 - 4(-6)

                                          4

                          x = -3 ± √9 + 24

                                         4

                          x = -3 ± √33

                                     4

                          x ≈ -3 ± 5.74

                                      4

                          x ≈ -3 + 5.74    or    x ≈ -3 - 5.74

                                      4                             4

                          x ≈ 2.74    or    x ≈ -8.74

                                  4                       4

                          x ≈ 0.685    or    x ≈ -2.185

Step-by-step explanation:

6 0
3 years ago
Holly deposited $10,000 in an investment account. After 6 years the account is worth approximately $13,400. Which formula repres
eimsori [14]
For this question you need to use the formula: y=p(1+r)^t. P is the principle, or the starting amount, $10,000, r is the rate of growth or decay, and t is the number of years. y=10,000(1.05)^x
3 0
3 years ago
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Henry wants to join a book of the month club. The first club costs $30 to join and $10 per
Lena [83]

Answer:

25

Step-by-step explanation:

7 0
3 years ago
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