MATHEMATICS HIGH SCHOOL

Tim, Moby, Rita, and Cassie earned two $20 bills, three $10 bills, three dimes, and two pennies from their shared paper route. How much should each receive?

Answers

Answer 1

Answer:

Answer:

$17.58

step-by-step explanation:

20+20+10+10+10+0.10+0.10+0.10+0.01+0.01= 70.32

then divide 70.32 by 4

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76 is 10 percent of what number

Answers

10% of 76 = 7.6 Your Welcome :)

76 is 10 percent of 7.6

I hope that's help !

Express the fractions 3/4 7/16 and 5/8 with the LCD

Answers

LCD means Least Common Denominator. To find the LCD of 3/4, 7/16, & 5/8, we will first get the multiple of each denominator until we get the same multiple of the three denominator
Multiple of
   i. 4 are 4, 8, 12, 16
   ii. 16 are 16
   iii. 8 are 8, 16

16 is the multiple of 4, 16 and 8. So we will use it now as the LCD of the three given fractions.
We can now express the given fractions with the LCD
   3/4 = 12/16
   7/16 = 7/16
   5/8 = 10/16

a 2- pound box of spaghetti costs $2.50. Philip says the unit costs is 2 over 2.50 = 0.80. Explain his error

Answers

he accidentally placed the numbers in the wrong order. he needs to do 2.50/2 which =1.25. Hope that helped.

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?A. 0.4051

B. 0.5010

C. 0.4653

D. 0.6632

Answers

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctorstold her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. The probability after the test was taken that she will have a heart attack is "B. 0.501."

Answer:

The probability that she will not have a heart attack and the test predicts that she will is 0.4653 or 46.53%

Step-by-step explanation:

Hint- This a conditional probability problem where Bayes theorem should be applied.

Applying Bayes theorem,

$P(\text{No heart attack}\ |\ \text{Correctly tested})=$

$\frac{P(\text{Correctly tested}\ |\ \text{No heart attack})\cdot P(\text{No heart attack})}{P(\text{Correctly tested})}$

$P(\text{Correctly\ tested}\ |\ \text{No\ heart\ attack})=67\%=0.67$

$P(\text{No\ heart\ attack})=1-P(\text{heart\ attack})=1-0.7=0.3$

$P(\text{Correctly\ tested})=[P(\text{No\ heart\ attack})* P(\text{Correctly\ tested})]+[P(\text{Heart\ attack})* (\text{Incorrectly\ tested})]$

$=[0.3* 0.67]+[0.7* 0.33]=0.432$

Putting the values,

$P(\text{No\ heart\ attack}\ |\ \text{Correctly\ tested})=(0.67* 0.3)/(0.432) =0.4653$

∴ There is a probability of 0.4653 or 46.53% chance that she will not have a heart attack even though the test predicts that she will.

What is the smallest?

70%, 3/4, 0.6, 2/3

Answers

70% = 0.7
3/4 = 0.75
0.6 = 0.6
2/3 = 0.667

In order from smallest to greatest:
0.6, 0.667, 0.7, 0.75 =
0.6, 2/3, 70%, 3/4

Therefore the smallest is 0.6

70% = 70%

3/4 = 0.75 = 75%

0.6 = 0.60 = 60%

2/3 = 2/3 of 100% = 66 and 2/3%

It looks to me as if 0.6 = 60% is the smallest of the 4 examples.

A-b=4 and a+b=6 find a²+b² and ab