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3 years ago

Can anyone help me with this please, Thank You

Mathematics

2 answers:

SpyIntel [72]3 years ago

4 0

I think it’s 7 inches

stepan [7]3 years ago

4 0

Answer:

7 inches

Step-by-step explanation:

radius = circumference / 2π

r = $\frac{43.96}{2\pi }$ = 6.99 = 7

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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

2 years ago

Simplify the expression:<br> 10s+–2s

likoan [24]

Answer:

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Terms

Step-by-step explanation:

<u>Step 1: Define</u>

10s + -2s

<u>Step 2: Simplify</u>

Rewrite: 10s - 2s
Combine like terms: 8s

3 0

3 years ago

Read 2 more answers

Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for worki

siniylev [52]

Answer:

WORK For Exercises 44 and 45, use the information below and in the graph. Andrea works in a restaurant and is paid every two weeks. If Andrea earns $ 6.50 an hour, illustrate the Distributive Property by writing two expressions representing Andrea's pay last week.

8 0

2 years ago

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

deff fn [24]

The unit price per pen is $0.14.

Explanation :
You simply divide the total by the quantity.
$1.09/8= 0.13625.
Since this has to do with money you round to the nearest hundredth to get $0.14.

8 0

3 years ago

Read 2 more answers

The diagram below shows the rectangle PLUM.

Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,