MATHEMATICS COLLEGE

A battery with 20 percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% , percent of its capacity is charged.

Answers

Answer 1
Answer:

Answer:

y = 5x + 20

Step-by-step explanation:

The initial percent is 20.

Every minute, the percent goes up 5%, so the slope is 5.

So the equation of the line is y = 5x + 20.

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Robin can clean 727272 rooms in 666 days. how many rooms do she clean in 9 days

Answers

Answer:

Robin can clean 9828 rooms in 9 days

Step-by-step explanation:

Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666

number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day

We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9

1092 rooms/day * 9 days = 9829 rooms

Suppose you wanted to estimate the difference between two population means correct to within 4.8 at the 92% confidence level. If prior information suggests that both population variances are approximately equal to 12 and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?Critical Value: 1.75
The sample sizes should be: n1=___n2=_____?

Answers

Answer: n_1=n_2=4

Step-by-step explanation:

Given : Margin of error : E= 4.8

Confidence level : 92%

Significance level : 1-0.92=0.08

\sigma_1^2=\sigma_1^2\approx12

Two-tailed critical value :-

z_(\alpha/2)=z_(0.08/2)=z_(0.04)=1.75

If we want to select independent random samples of equal size from the populations,

Formula for the sample size :

n_1=n_2=((z_(\alpha/2))/(E))^2(\sigma_1^2+\sigma_2^2)

Then buy using given values , we have

n_1=n_2=((1.75)/(4.8))^2(12+12)

Simplify ,

n_1=n_2=((1.75)/(4.8))^2(12+12)=3.190\approx4  [Round to the next integer.]

Hence, the The sample sizes should be: n_1=n_2=4

B. 1/2 of 4/5 = ____ fifth(s)

Answers

Answer:

2 because of the way the question is written

2/5 if you get 2 wrong.

Step-by-step explanation:

1/2 * 4/5  of means multiply

numerator:  1*4 = 4

denominator = 2 * 5 = 10

Answer: 4 / 10 but this will reduce. Divide Top and Bottom by 2

4/2 = 2

10/2 = 5

Answer: 2/5

The way you should answer is 2 because the question gives you the fact that it is in 5ths. If you get it wrong then put in 2/5.  

Determine if 25110 is divisible by 45​

Answers

Answer:

Yes: 558

Step-by-step explanation:

25110 ÷ 45​ = 558

Answer:

25110 is divisible by 45

Step-by-step explanation:

25110 : 45 = 558

225

------

=261

  225

  ------

  = 360

     360

     ------

     = = =

Helen is building a rectangular garden in her backyard and she wants to have a fence around it.The perimeter of her garden is 20 yards. She is buying wood fence panels that cost $2 per foot. How many feet of fence panels does she need

Answers

Based on the calculations, Helen needs to buy 60 feet of fence panels for her rectangular garden in the backyard

How many feet of fence panels does she need

From the question, we have the following parameters that can be used in our computation:

  • The perimeter of her garden is 20 yards.
  • She is buying wood fence panels that cost $2 per foot

This means that

Perimeter = 20 yards

By metrric unit of conversion, we have

1 yard = 3 feet

So, we have

Perimeter = 20 * 3 feet

Evaluate

Perimeter = 60 feet

Hence, she needs to buy 60 feet of fence panels

Read more about perimeter at

brainly.com/question/19819849

#SPJ1

Polygraph lie-detector machines are commonly used in criminal investigations. The device measures nervous excitement, operating on the idea that if a person is telling the truth they will remain calm. The American Polygraph Association claims that polygraphs accurately identify liars 90% of the time. In other words, if a person lied the test results will be positive 90% of the time. Although the polygraph test is good at identifying liars, there is a 50% chance that the polygraph test will say a truthful person is lying. A police force wants to predict the accuracy of lie-detector tests for 1,000 suspected criminals. Assume that 700 per 1,000 suspected criminals tell the truth during polygraph tests. Lie Truth Row Totals Test result: negative P Test result: postive Q Column Totals 1,000 Barber, N. (2013). Do Lie Detectors Work? Psychology Today . What is the value of Q?

Answers

Answer:

The value of Q is 350.

Step-by-step explanation:

Denote the events as follows:

X = the test is positive

Y = the test is negative

A = the person is telling the truth

B = the person is telling a lie.

It is provided that:

P (B ∩ X) = 0.90

P (A ∩ Y) = 0.50

Then:

P (B ∩ Y) = 1 - P (B ∩ X) = 1 - 0.90 = 0.10

P (A ∩ X) = 1 - P (A ∩ Y) = 1 - 0.50 = 0.50

To test the accuracy of lie-detector a police officer tests 1000 suspected criminals.

It is assumed that 700 per 1,000 suspected criminals tell the truth during polygraph tests.

The table needed to be completed is:

                       Truth (A)        Lie (B)         TOTAL

Positive (X)           Q                 __               __

Negative (Y)         __                 P                __

TOTAL                   __                __               __

For the 1000 suspected criminals selected complete the table as follows:

Given:

                       Truth (A)        Lie (B)         TOTAL

Positive (X)           Q                 __               __

Negative (Y)         __                 P                __

TOTAL                  700              300           1000

n (A ∩ X) = P (A ∩ X) × n (A)

               = 0.50 × 700

               = 350

n (A ∩ Y) = P (A ∩ Y) × n (A)

               = 0.50 × 700

               = 350

n (B ∩ X) = P (B ∩ X) × n (B)

               = 0.90 × 300

               = 270

n (B ∩ Y) = P (B ∩ Y) × n (B)

               = 0.10 × 300

               = 30

n (X) = n (B ∩ X) + n (A ∩ X)

        =  270 + 350

        = 620

n (Y) = n (B ∩ Y) + n (A ∩ Y)

        =  30 + 350

        = 380

Complete table is:

                         Truth (A)        Lie (B)        TOTAL

Positive (X)       Q = 350           270            620

Negative (Y)        350             P = 30          380

TOTAL                  700               300            1000

Thus, the value of Q is 350.
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