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pshichka [43]
3 years ago
8

- (09.02)

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

The only way it could be less than 9 is if the second cube is either 1 or 2. The probability of either of those outcomes is 2/6, simplified to be 1/3

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riadik2000 [5.3K]
X = 35


Step 1: Multiply both sides of the equation by seven thirds

Step 2: Reduce sides

Step 3: Multiply the numbers
4 0
3 years ago
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A sport statistician gathered data on the number of points scored in each game by high school basketball players across the coun
Sonbull [250]

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

<h3>What is a sample size?</h3>

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

hence,

68% = 20.15 ± 3.7/√20 = (19.32, 20.98)

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.

To learn more about  sample size from the given link:

brainly.com/question/22927560

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6 0
2 years ago
In the rhombus, m angle 1 = 18x, m angle 2 = x+y and m angle 3 = 30z. Find the value of x+y+z. The diagram is not drawn to scale
Ratling [72]

The value of x+y+z = 93

<u>Explanation:</u>

<u></u>

angle 1 = 18x

angle 2 = x+y

angle 3 = 30z

In rhombus, the diagonals intersect at 90°

Therefore,

angle 1 : 18x = 90

                  x = 90/18 = 5

angle 2: x+y = 90

              5+y = 90

                  y = 85

angle 3: 30z = 90

                   z = 90/30 = 3

Value of x+y+z = 5+85+3 = 93

Thus, the value of x+y+z = 93

             

5 0
3 years ago
Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

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5 0
2 years ago
Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the
svetlana [45]

Answer:

A on edge 2020

Step-by-step explanation:

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