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3 years ago

Find the rational number halfway between 5/16 and 7/8

1 answer:

8 0

$\left(\frac{5}{16}+\frac{7}{8}\right):2=\left(\frac{5}{16}+\frac{14}{16}\right):\frac{2}{1}=\frac{5+14}{16}\cdot\frac{1}{2}=\frac{19}{16}\cdot\frac{1}{2}=\frac{19}{32}$

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Bruce bought two books one book cost $4.00 more than three times the other . Together, the two books cost him $72

VikaD [51]

One is $12 the other is $72

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2 years ago

Need help on problem 10

Shkiper50 [21]

The Perimeter of Triangle ABC would be 60.
You can solve this by setting up proportions.

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3 years ago

It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha

stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

0.54% of the calls receive a busy signal, hence p = 0.0054.

A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

$P(X \geq 5) = 1 - P(X < 5)$

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009$

$P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062$

$P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218$

$P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513$

$P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903$

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295$

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

1 year ago

What is -5/4 minus 7?

DaniilM [7]

Answer:

-33/4 or -8 1/4

Step-by-step explanation:

Make similar terms:

-5/4 - 28/4: then solve

-5 - 28 = -33: put over 4

-33/4: simplify

-8 1/4

7 0

3 years ago

Read 2 more answers

Solve the following inequality: -2y+6<10

Montano1993 [528]

-2y + 6 < 10

Subtract 6 on both sides

-2y < 10

Divide by -2 on both sides

y > -5

Hope this helps! Just in case you don’t understand the final answer, when dividing or multiplying by a negative number you flip the sign!

7 0

3 years ago