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vivado [14]
3 years ago
6

The graph for the function f(x) = -4 |x+2|+4 is shown below​

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

domain:(-infinity, positive infinity)

range:(-infinity, 4]

Step-by-step explanation:

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Softball A high school softball diamond is a square. The distance from base to base is 60 ft. To the nearest foot, how far does
ratelena [41]

Answer:

85 feet

Step-by-step explanation:

60^2+60^2=7200

square root of 7200 is 85

7 0
3 years ago
Write there ratios that are equivalent to one given : The ratio of right handed students to left handed students is 18:4
ddd [48]
Would 9:2 as a ratio work?
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There are 159 students who will be grouped into relay teams. Each team needs to have the same number of students. Should each te
Ber [7]
3 students, 159 is divisible by 3. so it means that there will be 53 teams of 3
8 0
3 years ago
Two figures are arranged as shown. Which of the following can be used to the area of the figure
Pani-rosa [81]

Answer:

9^{2} -x^{2}

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: A_{big}=9^{2}

The area of the smaller square is: A_{small}: x^{2}

The difference between these areas is: A=9^{2} -x^{2}

Therefore, the expression that can be used to find the light gray area is: 9^{2} -x^{2}

Additionally, the expression x(9-x)+9(9-x) is also a right answer, because it's equivalent to the first answer.

x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}

5 0
3 years ago
A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.
Finger [1]

Answer:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

For this cae that one buggy whip would be defective is p = \frac{5}{20}=0.25

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=5, p=0.25)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want to find this probability:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

3 0
4 years ago
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