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Ivanshal [37]
3 years ago
5

Question 1 (Multiple Choice Worth 4 points)

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0

Answer:

In the first expression:

(5^3)^-4 = 5^-12

Step-by-step explanation:

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Answer:

x-ints:  (2,0) & (4,0)

y-int:  (0,-8)

vertex: (3,1)  *highest point of the graph

line of symmetry: x = 3  *x-value in the middle of x-ints

a value is -#  *if parabola points done it's negative, if it points up it's positive

5 0
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Bailey attends gymnastics practice for 8 hours each week. This is 1/4 the number of hours that the gym is open for practice. How
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8 hours is 1/4 of the time the gym is open. 1/4 is a quarter. You need to times 8 by 4 which equals 32. The gym is open for 32 hours. Hope this helped
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If 45 cookies will serve 15 students, how many cookies are needed for 90 students? Plz I need help
Vlada [557]
The answer would be 270 cookies would be needed to serve 90 students

3 0
3 years ago
For the triangles to be congruent by HL, what must be the value of x?
lilavasa [31]

Answer:

x = 8

Step-by-step explanation:

For the triangles to be congruent, then the legs

ED = AB, that is

4x + 2 = 34 ( subtract 2 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

6 0
4 years ago
In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people
marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. 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.

43% of adults questioned reported that their health was excellent.

This means that p = 0.43

13 adults randomly selected

This means that n = 13

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

P(X \leq 3) = 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_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008

P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079

P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344

P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344

13.44% probabilith that at most 3 are in excellent health.

6 0
3 years ago
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