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3 years ago

2. Choose all that apply: What are the coordinate point(s) that cross the x-axis

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The points that cross the x- axis are also called

• x- intercepts

• zeros

• roots

• solutions

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3.In 1995, the Educational Testing Service in Princeton, New Jersey (which administers SAT exam) re-centered the scores so that

Travka [436]

Answer:

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they score between 900 and 1,100, or they score outside this range. The probability of a student scoring between 900 and 1,100 is independent from other students. So we use the binomial probability distribution 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.

About 40 percent of these students’ scores were between 900 and 1,100.

This means that $p = 0.4$ .

a)Based on this estimate, what is the probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100?

This is $P(X < 4)$ when $n = 10$ . So

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0060$

$P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403$

$P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209$

$P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0060 + 0.0403 + 0.1209 + 0.2150 = 0.3822$

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

8 0

3 years ago

Find the domain of (x,y) → (x + 7, y - 9) with R = {(-3, -14)

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

x+7=-3

x=-3-7=-10

x=-10

y-9=-14

y=-14+9

y=-5

Domain of (x,y)=(-10,-5)

4 0

3 years ago

there are only blue cubes, yellow cubes and green cubes in a bag there are 3 times as many blue cubes as yellow cubes and five t

Lorico [155]

Answer:1/11

Step-by-step explanation:

Let the yellow cubes be x

yellow = x

blue = 2x // Blue cubes is twice of yellow

Green = 8x // Green is four times of blue

Ratio:

Yellow : Blue : Green

1 : 2 : 8

P(Yellow) = 1/11

7 0

3 years ago

Find the length of the third side to the nearest tenth.

nikdorinn [45]

Answer:

9.8

Step-by-step explanation:

3 0

3 years ago

Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i

Soloha48 [4]

$Solve \ x^4 - 17x^2 + 16 = 0$

To solve this equation , we need to write it in quadratic form

$ax^2+bx+c=0$

To get the equation in quadratic form we replace x^2 with u

$x^2 = u$

$x^4 - 17x^2 + 16 = 0$ can be written as

$(x^2)^2 - 17x^2 + 16 = 0$ , Replace u for x^2

So equation becomes

$u^2 - 17u + 16 = 0$

Now we factor the left hand side

-16 and -1 are the two factors whose product is +16 and sum is -17

(u-16) (u-1) = 0

u -16 = 0 so u=16

u-1 =0 so u=1

WE assume u = x^2, Now we replace u with x^2

$u = 16 so \ it \ becomes \ x^2 =16$

Now take square root on both sides , x= +4 and x=-4

$u = 1 so \ it \ becomes \ x^2 =1$

Now take square root on both sides , x= +1 and x=-1

So zeros of the function are -4, -1, 1, 4

8 0

3 years ago

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