Answer:
Step-by-step explanation:
Let the original number be x
(100-8.5)% of x = 33
91.5% of x = 33
x= 36.1
Family of four lives in a three-bedroom house and uses an average of 900 kWh of electricity per month. The family cools their ho
2 answers:
Answer:
B) 19.4%
Step-by-step explanation:
It is given that average consumption of electricity by the family is 900 kWh per month. Since, there are 12 months in a year, and we have the average consumption of electricity per month, the total consumption for the year would be:
Total electricity consumed in a year = 900 x 12 = 10800 kWh
Next it is stated that during the summer, the same family uses 2 window-unit air conditioners and each of them uses 350 kWh of electricity per month. So, the total electricity used by both units per month would be:
Electricity used by 2 air conditioners in 1 month = 2 x 350 = 750 kWh
Since, the family uses these air conditioners for 3 month, the total consumption for 3 months would be:
Total electricity consumption for 3 months of 2 air conditioners = 3 x 750 = 2250 kWh.
We have to find what percentage of total annual electricity is used to run the 2 air conditioners for three months of summer. So, we have to find 2250 is what percent of 10800. This can be done as:
This means, 2 air conditioners consume 19.4% of the annual electricity.
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Answer:
0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost
Step-by-step explanation:
Independent events:
If two events, A and B, are independent, then:
Conditional probability:
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: At least one tag is lost
Event B: Exactly one tag is lost.
Each tag has a 40% = 0.4 probability of being lost.
Probability of at least one tag is lost:
Either no tags are lost, or at least one is. The sum of the probabilities of these events is 1. Then
p is the probability none are lost. Each one has a 60% = 0.6 probability of not being lost, and they are independent. So
p = 0.6*0.6 = 0.36
Then
Intersection:
The intersection between at least one lost(A) and exactly one lost(B) is exactly one lost.
Then
Probability at least one lost:
First lost(0.4 probability) and second not lost(0.6 probability)
Or
First not lost(0.6 probability) and second lost(0.4 probability)
So
Find the probability that exactly one tag is lost, given that at least one tag is lost (write it up to second decimal place).
0.75 = 75% probability that exactly one tag is lost, given that at least one tag is lost
4,750 mm
Equation with an exponent 4.75 x = 4,750
First, it's important to know that there are 1,000 millimeters in 1 meter. Second, it's important to know that is the same as 1,000. In order to find out how many millimeters are in 4.75 meters, one must multiply 4.75 by 1,000.
Meters
A meter is a unit of metric measurement. Track and Field events use the metric system because it is a universal unit of measurement. Inches and feet are not units used all over the world. The Olympic Games use the metric system so this is the system that is universally adopted throughout the world for many sporting events, including track and field. Sports that are more commonly attributed to the USA and not an Olympic event often uses the US system. An example is football. The field is measured in yards instead of meters.
Millimeters
The prefix milli- means 1,000. Often it is used to denote a thousandth unit of measurement in the metric system. This is a useful item to know because it can be applied to many different math terms such as millimeters or milliliters.
Exponents
An exponent is the amount of times a number is multiplied to itself. For example is the same as 4 x 4 = 16. This is a faster way to write repeated multiplication.
Remember multiplication is a faster way to write repeated addition! Exponents are a faster way to write repeated multiplication.
<h3>Answer Details</h3>Subject: Math
Level: Middle School
Topic: Exponents
<h3>Keywords</h3>exponents, metric system, meters, millimeters
<h3>Learn More</h3>More on Metric Systems: brainly.com/question/3956263
Metric Conversions: brainly.com/question/12443484
The value of the expression will be 9.
<em><u>Explanation</u></em>
Given expression is :
First we will simplify both numerator and denominator separately using <u>order of operations</u>. So....
Thus the expression....