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3 years ago

Which of the following are not affected by the others outcomes

Mathematics

1 answer:

tankabanditka [31]3 years ago

6 0

Whats not affected by the
others outcome

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5. What is the volume of the right triangular prism?

kompoz [17]

5. C

V = 0.5 • 12 • 8 • 4 = 192

6. G

V = (1/3) 6x^2 • 6 • 8 = 96x^2

3 0

2 years ago

How do you create common denominator so you can compare fractions

Fofino [41]

Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger

7 0

2 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

?Which expression is equivalent to p + 15?

sergejj [24]

Answer: 1/3 (p+45)

Step-by-step explanation:

when you multiply p by 1/3, a fraction, it kinda divides. the parentheses come first so that’s p+45=45p. 45px1/3 (or divided by three), is 15p

7 0

3 years ago

Determine the value of the first term and write a recursive definition for the following

Marysya12 [62]

It is just counting by 5.

5 0

2 years ago