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Dennis_Churaev [7]
3 years ago
12

At school, the maximum number of students that can be in a classroom is 21. If there are 16 students signed up for the geometry

class​, how many more students can join the class?
Mathematics
1 answer:
nalin [4]3 years ago
7 0

Step-by-step explanation:

Simple

We will subtract

21 - 16 = 5

So 5 more students can join the class

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Calculate 65 L to quarts. Final answer round two places
lakkis [162]

Step-by-step explanation:

The approximate equation to convert from liters to quarts is : x • 1.056688.

We enter 65 for x and multiply.

65 • 1.056688 = 68.68472

We round that to the nearest 100th to get our final answer.

Our final answer: 68.68 liters

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3 years ago
Write 1 2 3 to order from shortes to longest
Drupady [299]
1 then, 2 finally, 3
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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

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

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

X \sim Binom(n=5, p=0.4)

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!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

7 0
2 years ago
The Bradenton Post polled 1,356 adults in the city to determine whether they wet their toothbrush before they put toothpaste on
natulia [17]

Answer:

The mean is 0.54 and the standard deviation is 0.0135.

Step-by-step explanation:

i) the mean of the sampling distribution is 0.54

ii) the mean for the sampling distribution, p = 0.54

iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46

iv) the sample size of the distribution, n = 1356

v)  the\hspace{0.1cm} standard\hspace{0.1cm}  deviation\hspace{0.1cm}  s = \sqrt{\frac{p\times q}{n} }  = \sqrt{\frac{0.54\times 0.46}{1356} } = 0.0135

4 0
3 years ago
Betty is making 6 skirts. Each skirt uses 2/3 of a yard. How many yards does she need?
AysviL [449]

Answer:

She needs 4 yards.

Step-by-step explanation:

To multiply fractions, you just multiply the whole number by the numerator of the fraction.

<em>The numerator is the top number of a fraction.</em>

<em>The denominator is the bottom number of a fraction.</em>

You can think of the whole number 6 as the fraction 6/1.

<h3>Step 1</h3>

Multiply 6/1 by 2/3

6x2=12

1x3=3

So, 6/1x2/3=<u>12/3</u>

<u></u>

<h3>Step 2</h3>

Now you need to simplify the fraction

Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.

12÷3=4

<h2>So betty needs 4 yards of fabric to make 6 skirts.</h2>

8 0
3 years ago
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