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Vlad [161]
1 year ago
8

9 1/2 divided by 3 7/10

Mathematics
2 answers:
OleMash [197]1 year ago
8 0

Solution:

<u>Convert the fractions into improper fractions and solve.</u>

  • 9 1/2 ÷ 3 7/10
  • => 19/2 ÷ 37/10
  • => 19/2 x 10/37
  • => 19 x 5/37
  • => 95/37

<u>Convert the fraction into mixed fraction (Not required):</u>

  • => 95/37 = 37/37 + 37/37 + 21/37
  • => 1 + 1 + 21/37
  • => 2 + 21/37
  • => 2 21/37

The solution to the problem is 2 21/37.

kondor19780726 [428]1 year ago
6 0

Answer:

2\frac{21}{37}

Step-by-step explanation:

9\frac{1}{2} / 3\frac{7}{10}

open mixed fractions to improper fractions:

\frac{18+1}{2}  /\frac{30+7}{10}

simplify:

\frac{19}{2} /\frac{37}{10}

making it division to multiplication changes side upside down:

\frac{19}{2} *\frac{10}{37}

multiply both the fractions:

\frac{190}{74}

simplify by 2:

\frac{95}{37}

final answer in mixed fraction:

2\frac{21}{37}

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2 years ago
Doreen lives 3/4 mile from the library. Sheila lives 1/3 AS FAR AWAY FROM THE LIBRARY AS DOREEN.
alexdok [17]
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3 years ago
Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5
Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

<u>Slope-intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

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Thus, the equation of the line is y= -5x +24.

5 0
2 years ago
I need help finding the first five terms of the following explicit formula and the sequence
Katarina [22]

Answer:

Step-by-step explanation:

Explicit formula of the sequence,

A_n=59+11n

A_1=59+11(1)

A_1=70

A_2=59+11(2)

A_2=81

A_3=59+11(3)

A_3=92

A_4=59+11(4)

A_4=103

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8 0
3 years ago
A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has
enot [183]

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

=\frac{8}{100}\times 10,000=800

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 =\frac{1}{100}\times 800=8

Also,  1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 =\frac{1}{100}\times 9200=92

1. Has condition Does not have condition totals  = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01

that is Probability equal to 0.01 or 1%.

7 0
3 years ago
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