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vova2212 [387]
3 years ago
6

Every student in the 6th grade at PS 500 must read exactly three of the principal's four

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

Answer:

Step-by-step explanation:

I'm stuck and this is hard

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Someone plz help I rlly need to finish
bekas [8.4K]

Since TSQ and QSR are supplementary, they give 180 when summed. TSQ is 150, so QSR must be 30.

Therefore, you have

\tan(30)=\dfrac{\sin(30)}{\cos(30)}=\dfrac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \dfrac{1}{2}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{1}{\sqrt{3}}=\dfrac{\sqrt{3}}{3}

6 0
3 years ago
What is the value of the function for x = 2?
blondinia [14]

Answer:

To make this easier, first draw or imagine a vertical line at x=2Find where the vertical line and the graph intersects.Draw or imagine that point

3 0
3 years ago
Janelys needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer fo
Sav [38]

Answer: x = 45

Step-by-step explanation:

6 0
2 years ago
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t
antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This 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 certain performer has an independent .04 probability of a crash in each race.

This means that p = 0.04

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

P(X \geq 1) = 1 - P(X = 0)

When n = 30

We have that:

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

P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0
3 years ago
What is 10/9 closer to 1, 1/2
Serga [27]

Answer:

It is closer to 1/2.

Step-by-step explanation:

First of all, 10/9 is the same thing as 1 1/9.

Draw a number line:

                                  1/2                               1

--|------|------|------|-----|---|---|------|------|------|-----|-----

0/9  1/9   2/9  3/9  4/9  5/9  6/9  7/9  8/9  9/9

Halfway between 4/9 and 5/9 is the same as 1/2 and 9/9 is the same as 1.

You can see that 1/9 is way closer to 1/2 than 1.

So, 10/9 is closer to 1/2.

(There are other ways to solve this, but this way is easiest for me!)

3 0
3 years ago
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