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4 years ago

What best describes the number 5 ? write prime composite

Mathematics

1 answer:

Shtirlitz [24]4 years ago

8 0

Prime because u can not times anything besides 1 and itself there fore it is a prime number

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A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf

nikdorinn [45]

Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

x = no. of successful trials

p = probability of success

q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

= 1 - P(X=0)

= 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

= 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

7 0

3 years ago

What is the exact solution to the equation 4^5x=3^(x-2) list the steps to get the answer

scoray [572]

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

6 0

3 years ago

Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was worki

aev [14]

A. The recipe required 3/4 cup of sugar and 1/8 cup of butter.
The ratio of the sugar to butter in the original recipe is

B. If Travis accidentally put a whole cup of butter in the mix, then he needs to put
cup of sugar.
C. Travis has to put 1/8 cup of butter, but he put 1 cup of butter. The ratio is

If Travis wants to keep the ratios the same as they are in the original recipe, he needs to put 8 times more of all the other ingredients.

4 0

2 years ago

The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,

yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

$M = \frac{61+65}{2}\\ M=63$

The first quartile is the average between the 3rd and 4th terms:

$Q_1 = \frac{42+48}{2}\\ Q_1=45$

The third quartile is the average between the 9th and 10th terms:

$Q_3 = \frac{76+78}{2}\\ Q_3=77$

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0

3 years ago

In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour

goldenfox [79]

Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet

26/35 (that is a fraction) x100 =74.285714
so round your answer

6 0

4 years ago