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Olegator [25]
3 years ago
7

Which of the following values could represent the probabilities of complementary events and 28% and 82% and 10% and 80%

Mathematics
2 answers:
MissTica3 years ago
8 0

Answer:

2/5 and 3/5

Step-by-step explanation:

Complementary events have probabilities that sum to 100%, or 1.

28+82 = 110; this is not 100.

10+80 = 90; this is not 100.

1/7+2/7 = 3/7; this is not 1.

2/5+3/5 = 1; this is correct.

Harman [31]3 years ago
6 0
The answer is 2/5 and 3/5 as they both add up to 1.00 or 100%
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Translate and solve: 47% of 312 is what number? Round to the nearest tenth.
Svetradugi [14.3K]

Answer:

146.6

Step-by-step explanation:

0.47 * 312=146.64 when rounded to the nearest tenth that = 146.6

8 0
3 years ago
Renting a tool form Store A costs $9.75 per hour plus a fee of $188.55. Renting the same tool
alexandr402 [8]

Answer:

G 15.99h > 188.55 + 9.75h

Step-by-step explanation:

6 0
2 years ago
Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:
Studentka2010 [4]

Answer:

$1500

6% interest

use the formula...

P(1+(r/100))^n

where P=initial amount

r=interest rate

t=time period elapsed

so ... for 5 years we get

$1500(1+(6/100))^5 = $1500(1.06)^5 = 2007.3383664

for 10 years

1500(1.06)^10 = 2686.271544814228043264

468 months = 39 years

1500(1.06)^39=14555.261231781943250017719606544

3 0
3 years ago
Read 2 more answers
Kevin had a total of $320 to spend while shopping. He had spent $156 on video games. He wants to buy caps that are on sale for $
zloy xaker [14]

Maximum number of caps that Kevin can buy is 10.

Solution:

Total money for shopping = $320

Amount spent for video game = $156

Remaining amount that Kevin had = $320 – $156

                                                         = $164

Cost of each cap including tax = $15

$\text{Number of caps can buy }=\frac{\text { Remaining amount that Kevin had }}{\text { cost of each cap }}$

                                       $=\frac{164}{15}

                                      $=10\frac{14}{15}

Maximum number of caps that Kevin can buy is 10.

8 0
3 years ago
(50 Points Please help)
Elina [12.6K]

Answer:

A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters

B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters

C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers

D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers

Step-by-step explanation:

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10 meters = 11 meters. Thus, this is a reasonable length.

B. Width of an apple.  

The most appropriate unit to measure the width of an apple should be centimeter. It certainly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4 centimeters.

C. Distance from Earth to a Satellite

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is nonseasonal (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

D. Thickness of a human hair

Of course, kilometers, meters, centimeters and even millimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ millimeters.

In the internet you can find that diameter of the human hair is in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement for the thickness of a human hair.

5 0
3 years ago
Read 2 more answers
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