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stich3 [128]
4 years ago
9

A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict h

ow many of the phones are likely to be defective. Round to the nearest whole number.
A.)16 phones
B.)11 phones
C.)13 phones
D.)130 phones
Mathematics
1 answer:
frez [133]4 years ago
3 0
2.6% of 500 =
0.026(500) = 13 <==
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A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice
QveST [7]
Two multiple choice questions, because: 3*28 is equal to 84, so if we do 8*2 we get 16, and 84+16 is 100! Hope this helped! Brainliest is always appreciated.
8 0
4 years ago
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-5=3/4x-2 solve for x and please show your work!
Nookie1986 [14]
-5 = \frac{3}{4} x - 2 equals x = -4.

First, simplify \frac{3}{4} x to \frac{3x}{4}. / Your problem should look like: -5 = \frac{3x}{4} - 2.
Second, multiply both sides by 4. / Your problem should look like: -20 = 3x -8.
Third, add 8 to both sides. / Your problem should look like: -20 + 8 = 3x.
Fourth, simplify -20 + 8 to -12. / Your problem should look like: -12 = 3x.
Fifth, divide both sides by 3. / Your problem should look like: - \frac{12}{3} = x.
Sixth, simplify \frac{12}{3} to 4. / Your problem should look like: -4 = x.
Seventh, switch sides. / Your problem should look like: x = -4, which is your answer. 

3 0
3 years ago
The gravitational force formula is F=Gm1m2 where F is the force between two objects, G is the constant of gravitation, m1 is the
Kruka [31]

\text{r = }\dfrac{\sqrt{G*m_1*m_2}}{\sqrt{F}}

This is what is in the middle of the second paragraph. That statement is correct.

I don't know that it is any simpler or not, but what they have done in the answer is rationalize the denominator. That means that the denominator is no longer under the square root sign.

To get that result, you multiply numerator and denominator by √F

When you do that, your get

\text{r =}\dfrac{G\sqrt{m_1*m_2}\sqrt{F}} { \sqrt{F*}\sqrt{ F}}

This results in the middle answer.

\text{r = } \dfrac{ \sqrt{G m_1*m_2*F}}{F}

6 0
3 years ago
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Merrill Lynch Securities and Health Care Retirement Inc. are two large employers in downtown Toledo, Ohio. They are considering
ratelena [41]

Answer:

Step-by-step explanation:

We would determine the mean an standard deviation first

Mean = (107 + 92 + 97 + 95 + 105 + 101 + 91 + 99 + 95 + 104)/10 = 98.6

Standard deviation = √(summation(x - mean)/n

n = 10

Summation(x - mean) = (107 - 98.6)^2 + (92 - 98.6)^2 + (97 - 96.6)^2 + (95 - 98.6)^2 + (105 - 98.6)^2 + (101 - 98.6)^2 + (91 - 98.6)^2 + (99 - 98.6)^2 + (95 - 98.6)^2 + (104 - 98.6)^2 = 274

Standard deviation = √(274/10) = 5.23

The confidence interval is used to determine the range of values that could possibly contain a population parameter (population mean)

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean.

We will use the t distribution because the sample size is small and the population standard deviation is not given.

Degree of freedom, df = 10 - 1 = 9

α = 1 - 0.99 = 0.01

z α/2 = 0.01/2 = 0.005

The area to the right of z 0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995. Using the t distribution table,

z = 3.25

Margin of error = z × s/√n

Where

s = sample standard Deviation = 5.23

Margin of error = 3.25 × 5.23/√10 = 5.38

Confidence interval = sample mean(point estimate) ± z × σ/√n

The lower boundary of the confidence interval is

98.6 - 5.38 = 93.22

The upper boundary of the confidence interval is

98.6 + 5.38 = 103.98

We estimate with 99% confidence that the mean weekly child care cost of their employees is between $93.22 and $103.98

Also,

99% of the confidence intervals constructed in this way would contain the true value for the population mean of mean weekly child care cost of their employees.

6 0
3 years ago
Solve each system of equations by substitution. Clearly identify your solution.
Stels [109]

Answer:

(-3, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = x + 8

x + y = 2

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y </em>[2nd Equation]:                                                                         x + x + 8 = 2
  2. Combine like terms:                                                                                         2x + 8 = 2
  3. [Subtraction Property of Equality] Subtract 8 on both sides:                        2x = -6
  4. [Division Property of Equality] Divide 2 on both sides:                                  x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = -3 + 8
  2. Add:                                                                                                                   y = 5
4 0
3 years ago
Read 2 more answers
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