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bija089 [108]
3 years ago
7

Please help i need an A

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41  = (2 x 10) x 41  = 2 x (10 x 41)

             = 20 x 41         = 2 x 410

             = 820              =  820

(2) distribute 32 as 30 + 2 and solve.

     60 x 32

  = 60 x (30 + 2) = 60(30) + 60(2)

                        = 1800 + 120

                        = 1920

             

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Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries
Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = \frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\

Percentage change in price =

\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

7 0
3 years ago
Suppose that 100,000 men were screened for prostate cancer for the first time. Of these, 4,000 men had a positive result on the
Virty [35]

An actual two-by-two table is a tabular representation containing two rows and two columns.

  • The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancer
  • The rows consist of the predicted positive screening and predicted negative values

<h3>a)</h3>

Mathematically, the set-up of the two-by-two table for this data can be computed as:

Tested                  True Positive for cancer   True Negative    Total

Predicted Positive         800                            3200                 4000

Predicted Negative        100                            95900              96000

Total                                900                            99100              100000  

<h3>b)</h3>

The prevalence rate of prostate cancer in this population is:

\mathbf{ =\dfrac{900}{100000}}

\mathbf{ =\dfrac{9}{1000}}

= 9 per thousand.

<h3>c)</h3>

The calculation of the sensitivity of this screening is as follows:

\mathbf{=\dfrac{TP}{TP+PN_1}}

where;

  • TP = True positive for cancer
  • PN₁ = Predicted Negative for true positive cancer

∴

\mathbf{=\dfrac{800}{800+100}}

= 0.889

= 88.9%

The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.

<h3>d)</h3>

The calculation of the specificity  of this screening is as follows:

\mathbf{=\dfrac{PN_2}{PN_2+TN}}

where;

  • TN = True positive for cancer
  • PN₂ = Predicted Negative for true negative cancer

∴

\mathbf{=\dfrac{95900}{95900+3200}}

= 0.9677

= 96.77%

The interpretation shows that 96.7% of an actual negative is correctly identified as such.

<h3>e)</h3>

The positive predicted value of the screening test is computed as:

\mathbf{= \dfrac{TP}{TP + TN}}

\mathbf{= \dfrac{800}{800 + 3200}}

= 0.2

= 20%

The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.

Learn more about tabular representation here:

brainly.com/question/8307968

6 0
2 years ago
_____________________
Gnoma [55]

Answer:

157,500

Step-by-step explanation:

45,000 x 3.5$= 157,500

Lolz i' wrong prolly cuh so my bad g

5 0
3 years ago
The number 0.00000098 written in scientific notation
Ad libitum [116K]

Answer:

9.8 x 10^-7

Step-by-step explanation:

4 0
3 years ago
Mr. Smith donated $378 to 2 charities. Charity A received 5 times as much as Charity B. How much did Charity B received from Mr
MariettaO [177]

Answer:

$63

Step-by-step explanation:

let x represent Charity B then Charity A = 5x

Sum the two and equate to 378, that is

x + 5x = 378

6x = 378 ( divide both sides by 6 )

x = 63

Thus Charity B received $63

5 0
4 years ago
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