MATHEMATICS HIGH SCHOOL

athan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?

Answers

Answer 1

Answer: 75/25.......................

Answer 2

Answer:

Answer:

C = .9423

Step-by-step explanation:

i took the test and got it right.

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Of the 48 oranges in a carton 1/3 of them were rotten Ben and David took the remaining good oranges it's been took eat my oranges and David how many oranges did David take

Answers

Answer:

David took 16 oranges.

Step-by-step explanation:

We are given the following in the question:

Total number of oranges = 48

Oranges rotten =

$(1)/(3)$

Number of oranges rotten =

$(1)/(3)* 48\n\n=16$

There were 16 rotten oranges.

Number of good oranges left =

$= 48-16\n=32$

These are equally divided among Ben and David.

Number of oranges each Ben and David get =

$(32)/(2) = 16$

Thus, David took 16 oranges.

A copier prints 80 pages in 5 minutes. Which unit rate represents this ratio?

A.80 pages per 5 minutes

B.40 pages per 2.5 minutes

C.32 pages per minute

D.16 pages per minute

Answers

The correct answer is D, 16 pages per minute. A unit rate is a ratio of something to one; in this case, the ratio is 16:1, or 16 pages to 1 minute. To get the unit rate for this problem, divide both numbers by 5 to get how many pages will be printed per 1 minute. 80/5 = 16, so the copier prints 16 pages in 1 minute. Answer choices A and B are not unit rates, and answer choice C is the incorrect unit rate.

Hope this helps!

If the price of an item is increased by 12%, the increase in the price is sh.90. Find the new price of the item.

Answers

Hello!

Answer:

Hence,the new price of the item is 840 shillings.

Answer:

sh.840

Step-by-step explanation:

Let x = original price.

12% of x = 90

0.12x = 90

x = 90/0.12

x = 750

The original price was sh.750

The new price is 750 + 90 = 840

Answer: sh.840

Mandy's kitchen measures 8 feet by 7 feet if she is making a scale drawing of 1 inch= 2 feet how many inches will she use for 7 feet

Answers

Divide 7 feet by 2 feet to get the total inches.

7 / 2 = 3.5 inches.

A normal distribution has a mean of 0.40 and standard deviation of 0.028. What percentage of observations will lie between 0.372 and 0.428?

Answers

Solution:
To evaluate for P(0.372<x<0.428) we shall proceed as follows:
z-score is given by:
z=(x-μ)/σ
thus when x=0.372:
z=(0.372-0.4)/0.028
z=-1
thus
P(x<0.372)=P(z<-1)=0.1587

when x=0.428
z=(0.428-0.4)/(0.028)=1
P(x<0.428)=P(z<1)=0.8413
thus
P(0.372<x<0.428) =P(z<1)-P(z<-1)=0.8413-0.1587=0.6826

Final answer:

To find the percentage of observations between two values in a normal distribution, we can convert the values to z-scores and use a z-table to find the corresponding areas. In this case, the percentage of observations between 0.372 and 0.428 is 68.26%.

Explanation:

To find the percentage of observations that will lie between 0.372 and 0.428 in a normal distribution with a mean of 0.40 and standard deviation of 0.028, we need to find the area under the curve between these two values.

Using a standard normal distribution table or z-table, we can convert the values to z-scores by subtracting the mean and dividing by the standard deviation. The z-score for 0.372 is (0.372 - 0.40) / 0.028 = -1, and the z-score for 0.428 is (0.428 - 0.40) / 0.028 = 1.

By looking up the corresponding area for these z-scores in the z-table, we find that the area to the left of -1 is 0.1587 and the area to the left of 1 is 0.8413. To find the percentage between -1 and 1, we subtract the smaller area from the larger area: 0.8413 - 0.1587 = 0.6826 or 68.26%.

Learn more about Normal distribution here:

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The value in cents of 4 quarters and x dimes is

Answers

To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

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