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jolli1 [7]
3 years ago
5

In the question, "35 is what percent of 40?" what is the 35?

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

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It is estimated that approximately 8.1% of Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation f
denis23 [38]

Answer:

Multiple answers

Step-by-step explanation:

Considering that 8.1% of Americans have the disease:

If our theoretical group is of 10,000. We know that the 8.1% of our group have diabetes, so we multiplify 10,000 × .081(the percentaje) = 810. This is the total of adults in our group that have diabetes.

Now:

  • Test Positive:
  1. We know that the test correctly diagnoses 95% of adults with diabetes. In our case the total of adults with diabetes is 810, so we multiplify 810 × .95(percentaje) = 769.50.  
  2. We know too that the test incorrectly diagnoses 3.5% of the adults. In our case the total of adults with diabetes is 810, so we multiplify 810 × .035(percentaje) = 28.35.
  3. The total of adults the test diagnoses positive with diabetes should be the correctly and incorrectly we calculate previously. 769.50 + 28.35 = 797.85
  • Test Negative:
  1. The total of test negative diagnoses should be the total of our group less the positive diagnoses. 10,000 - 797.85 = 9,202.15
  • Total do not have diabetes:
  1. The total of adults do not have diabetes is the total of our group less the total of adults in our group that have diabetes. 10,000 - 810 = 9190

We expect that only the 95% of test positive for diabetes have the disease.

  1. 810 × .95(percentaje) = 769.50.

We expect that only the 5% (100% - 95% of test positive) of the 8.1% of americans afflicted with diabetes of negative test actually have the disease. 8.1 × .05(percentaje) = .40%, 9,202.15 ×.004(percentaje) = 36.80.

The 3.5% of Americans who test positive will not have the disease because this is the percentaje that the test incorrectly diagnoses.

4 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 44+48=
Elena-2011 [213]

Answer:

(40+4)+(40+48)

=40+(4+8)+4+8(40)

=44+48+12×40

if u add all

=104×40

=4160

Step-by-step explanation:

4 0
2 years ago
if I bought a laundry basket at $7.50 and it was marked down 20% what would that be and the sales tax is 1% what is the total co
rodikova [14]

Answer:

  a) marked-down price = $6.00

  b) with-tax cost = $6.06

Step-by-step explanation:

a) The amount of the markdown is ...

  0.20 × $7.50 = $1.50

so the marked-down price is ...

  $7.50 - 1.50 = $6.00

__

b) The sales tax is ...

  0.01 × $6.00 = $0.06

so the total cost with tax is ...

  $6.00 + 0.06 = $6.06

_____

Of course, you know that 20% = 20/100 = 0.20, and 1% = 1/100 = 0.01.

8 0
3 years ago
6(3x - 2) + 5(x + 6)
andreyandreev [35.5K]

Answer:

x=3.5

Step-by-step explanation:

1. Multiply

18x-12=5x+30

2.  Move the x's to one side

12x= 42

3. Isolate the variable by dividing

x=3.5

7 0
3 years ago
Find the slope of each line.<br> 1) y=5/2x-5
natali 33 [55]

Answer:

The slope of this equation is 5/2.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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