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2 years ago

Solve.

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

3 0

Answer:

2/5=0.4

0.4*11.25=4.5

Step-by-step explanation:

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What is the net of a triangular prison?

Olenka [21]

A net of a triangular prism looks like this

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2 years ago

One number is six more than the other number . thesum of their squares is 90

Andreyy89

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

7 0

1 year ago

The data set represents the ages of students, in years, attending a robotics club meeting. What is the median age of the student

svetoff [14.1K]

Answer:

12.5

Step-by-step explanation:

put them in order from least to greatest: 11, 11, 12, 12, 12, 13, 13, 14, 15, 16

the middle is 12 and 13 so you do 12+13 then divide by 2

to get 12.5

hope this helps

6 0

2 years ago

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

Graph y = -2 and x= 3 individually state the slope and x and y intercept form for each

attashe74 [19]

y = -2 and x= 3

Graph is attached below. Black line is the graph of y=-2

Blue line is the graph of x=3

Whenever we get equation like x = something, in that case slope is always undefined

Whenever we get equation like y = something, in that case slope is always 0

y = -2 and x= 3

For x=3, the slope is undefined.

The graph of x=3 is a vertical line at 3 on x. The x intercept is 3 and there is no y intercept.

For y=-2, the slope is 0

The graph of y=-2 is a horizontal line at -2 on y. The y intercept is -2 and there is no x intercept.

4 0

3 years ago