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Fudgin [204]
3 years ago
11

write each statement as a decimal to two decimal places. $6.00 to 95 cents 3 hours to 35 minutes 42 inches to 2 feet

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

1. $6.00 to 95 cents  = 6.32

2. 3 hours to 35 minutes  = 5.14

3. 42 inches to 2 feet = 1.75

Step-by-step explanation:

Given

$6.00 to 95 cents

3 hours to 35 minutes

42 inches to 2 feet

Required

Express in 2 decimal places

1. $6.00 to 95 cents

Express as ratio

\$6.00 : 95\ cents

Convert dollars to cents

6.00 * 100\ cents: 95\ cents

600\ cents: 95\ cents

Convert ratio to division

\frac{600\ cents}{95\ cents}

6.31578947368

Approximate

6.32

2. 3 hours to 35 minutes

Express as ratio

3\ hours  : 35\ minutes

Convert hours to minutes

3 * 60\ minutes: 35\ minutes

180\ minutes: 35\ minutes

Convert ratio to division

\frac{180\ minutes}{35\ minutes}

5.14285714286

Approximate

5.14

3. 42 inches to 2 feet

Express as ratio

42\ inches: 2\ feet

Convert feet to inches

42\ inches:2 * 12\ inches

42\ inches : 24\ inches

Convert ratio to division

\frac{42\ inches}{24\ inches}

1.75

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A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
uysha [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is  H_o :  \beta_1 = 0

 The alternative hypothesis is  H_1 :  \beta_1 \ne 1

Step-by-step explanation:

From the question we are told that

        The number observations is  n =  100

         The  annual salary (in dollars) is  y

          The  mean score on teaching evaluation is  x

          The the relationship between the y and  x is

                y =  \beta_0  +  \beta _1 x + \epsilon

Where  \beta _1 is the mean of the equation so

  The null hypothesis is  H_o :  \beta_1 = 0

   The alternative hypothesis is  H_1 :  \beta_1 \ne 1

         

6 0
2 years ago
Question #3) 3 times of 5 feet inch=____feet ____ inches
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I assume that you mean 3 times 5 feet means how many feet and inches

so the answer is 5 feet and <u>blank </u> inches

or 12 inch in 1 feet so 12 times 5=60 so 60 inches

or you may have forgotton to put a number before the first inch word like 5 feet <u>3</u> inch
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Matthew is 3 times as old as jenny. in 7 years, he will be twice as old as she will be then. how old is each now? Explain how to
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Let m and j be the current ages of Matthew and Jenny, respectively.

Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:

m=3j

In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:

m+7=2(j+7)

Now, remembering that m=3j, we can rewrite the second equation as

3j+7=2j+14 \iff j = 7

So, Jenny is 7 and Matthew is 21 (he's 3 times older).

In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.

7 0
2 years ago
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