Evaluate.

zmey [24]

Answer:

98

Step-by-step explanation:

Average is the sum of all data points divided the number of data points.

In this specific situation, the average test score, 91, is equal to the sum of Molly's four individual test scores divided by the number of test Molly had, 4.

(( 86 + 87 + 93 + x) / 4) = 91

86 + 87 + 93 + x = 91/4

86 + 87 + 93 + x = 364

x = 364 - 93 - 87 - 86 = 98

3 0

3 years ago

A total of 60% of the customers of a fast food chain order a hamburger, French fries, and a drink. If a random sample of 15 cash

Ne4ueva [31]

Answer:

C. 0.403

Step-by-step explanation:

Binomial distribution has two parameter n and p. Here, n=15 and p=0.60.

We have to find the probability of 10 or more will show that the hamburger, French fries and a drink were ordered. P(X≥10)=?

The binomial probability distribution function for random variable X is

$P(X=x)=nCxp^{x} q^{n-x}$

where q=1-p=1-0.6=0.4,n=15 and p=0.6.

P(X≥10)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)

$P(X=10)=15C10(0.6^{10})( 0.4^{5})$ =0.185938

$P(X=11)=15C11(0.6^{11}) (0.4^{4})$ =0.126776

$P(X=12)=15C12(0.6^{12}) (0.4^{3})$ =0.063388

$P(X=13)=15C13(0.6^{13}) (0.4^{2})$ =0.021942

$P(X=14)=15C14(0.6^{14}) (0.4^{1})$ =0.004702

$P(X=15)=15C15(0.6^{15}) (0.4^{0})$ =0.000470

P(X≥10)= 0.185938 +0.126776 +0.063388 +0.021942 +0.004702 +0.000470

P(X≥10)=0.403216

So, the probability of 10 or more will show that the hamburger, French fries and a drink were ordered is 0.403.

8 0

3 years ago

valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ri

matrenka [14]

6x3+3=21 there are 3 pieces of 6 inch ribbon which gives us the 6x3 and 1 piece of the 3 inch ribbon which makes us add 3

5 0

2 years ago

To determine whether they need to hire extra help for the holiday season, the managers of a railroad company want to estimate ho

nadezda [96]

Answer:

36

Step-by-step explanation:

Data provided in the question:

Standard error = 1.5 minutes ( ∵ number are repetitive 1.51.5 )

Standard deviation = 9 minutes ( ∵ number are repetitive 99 )

Now,

Standard error = ( Standard deviation ) ÷ √n

Here,

n is the sample size

Therefore,

on substituting the respective values, we get

1.5 = 9 ÷ √n

or

√n = 9 ÷ 1.5

or

√n = 6

or

n = 6² = 36

3 0

3 years ago

Can you use the values in Pascal’s triangle to find the powers of 11? Explain.

VladimirAG [237]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Yes!

Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row...

You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and

If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle... Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2...

Remember, The images below are of only smaller versions of Pascal's Triangle, as his Triangle is of infinite size...

8 0

3 years ago