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3 years ago

I attached the question below :)

Mathematics

1 answer:

jenyasd209 [6]3 years ago

5 0

Answer:

slope = 2, vertical intercept = 10

Step-by-step explanation:

The intercept, also called the y-intercept, is where the line crosses the y-axis

The vertical line (y-int) is crossed at 10, so vertical intercept = 10

Slope equals rise over run:

The line goes up 10 and moves right 5

10/5 = 2

This line has a positive 2 slope

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10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

$5.10 x 91 gdgdhfhfh

vampirchik [111]

Answer:

464.1

Step-by-step explanation:

5.1 * 91 = 464.1

6 0

1 year ago

A concession stand at a baseball game sells 3 apples for $2.00. How can you find the cost for 10 apples? A. x=320 B. x=302 C. x=

marta [7]

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

3 apples were sold for $2.00

Then

10 apples will be sold for what

That's

<h2> $\frac{10 \times 2}{3} \\ = \frac{20}{3}$ </h2>

Hope this helps you

4 0

3 years ago

Draw a generic rectangle to multiply 37.42

aleksley [76]

Draw a rectangle 37 cm by 42 cm and then count how many 1cm by 1cm squares are inside it.

8 0

3 years ago

At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air co

Whitepunk [10]

Answer:

7.5%

Step-by-step explanation:

280 - 259 = 21

21 / 280 = 0.075 = 7.5%

6 0

2 years ago