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Anastasy [175]
3 years ago
5

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words f

rom the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132 
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What are the zeros of the function f(x)=-x^2+13x-36
Galina-37 [17]

For this case we have the following function:

f (x) = - x ^ 2 + 13x-36

To find the zeros of the function we make y = 0and solve for "x", then:

0 = -x ^ 2 + 13x-36

We multiply by -1 on both sides of the equation:

0 = x ^ 2-13x + 36

We factor the equation, for this we look for two numbers that, when multiplied, result in 36 and when added, result in -13. These numbers are -9 and -4.

(-9) * (- 4) = 36\\-9-4 = -13

Thus, the factored equation is:

(x-9) (x-4) = 0

Therefore, the roots are:

x_ {1} = 9\\x_ {2} = 4

Answer:

x_ {1} = 9\\x_ {2} = 4

6 0
3 years ago
1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per nig
Vladimir [108]

Answer:

Option E

Step-by-step explanation:

This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.

5 0
3 years ago
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mr_godi [17]

Answer:

c

Step-by-step explanation:

got it right on edjenuity

6 0
2 years ago
Can someone plz help me with this and i need the drawing to show work
Burka [1]

Answer:

20.833 feet

Step-by-step explanation:

The light reflects off the mirror at the same angle that it hits it at.  So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.

Therefore, we can write and solve a proportion.

h / 10 = 6.25 / 3

h = 20.833

The beam is 20.833 feet tall.

4 0
3 years ago
PLEASE ANSWER ALL
mars1129 [50]

Step-by-step explanation:

The axis of symmetry: is the line that makes the parabola split in exactly half and lines up with the vertex. For that parabola x=1 is the line of symetry.

The vertex is where the minimum of the graph is, on this graph you can eyeball it to be (1,-9)

The x-intercept is where y is 0 so that's where the lines intersex with the x-axis. (-2,0) and (4,0)

The y-intercept of the function is where x is 0 and where the parabola intersects with the y-axis. On this graph it would be (0,-8)

Hope that helps :)

4 0
3 years ago
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