If In (x) = 3.53, what is the value of x ?
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Hey can you please help me posted picture of question
A. 1/14
B. 1/27
C. 13/14
D. 13/27
E. 14/27
Answers
The probability that the person chosen is a boy is 14/27.
Number of girls = 13
Number of boys = 14
Total students = 27
What is probability?
Probability is a measure of the likelihood of occurrence of an event.
P(event) = Favorable outcomes / total outcomes
Favourable outcomes = 14 because there are 14 boys
Total outcomes =27
So, the probability that the person chosen is a boy will be given by:
P(boy)=14/27
So, the probability that the person chosen is a boy is 14/27.
Hence, the probability that the person chosen is a boy is 14/27.
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Answer:
E
Step-by-step explanation:
It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.
B. The amount of money, y, In an account after x years earning 4% interest compounded annually.
C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.
D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.
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Final answer:
The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute can be modeled by a linearfunction. This is because the cost increases at a constant rate with the number of minutes used. In contrast, options A, B, and C involve non-constant rates of change.
Explanation:
The answer is D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute. This is a linear function because it describes a constant rate of change, as the cost changes linearly with the number of minutes used. Each additional minute costs the same amount: 4 cents. So, if we plot the minute (x) versus cost (y), we would get a straight line. This is different from the other options where the rate of change is not constant. For instance, options A, B, and C describe scenarios with exponential decay or growth.
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Answer:
D
Step-by-step explanation:
D is linear because it increases the same amount each time
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Answer:
1 3/10
Step-by-step explanation:
9/8 +7/40
Get a common denominator of 40
9/8 *5/5 + 7/40
45/40 + 7/40
52/40
Rewriting as
40/40 +12/40
1 + 3/10
1 3/10
Answer:
1 3/10
Step-by-step explanation:
First, you need to get a common denominator:
8x5=40 <-- common denominator
45/40+7/40= 52/40
yes you can simplify it.
your final answer will be: 1 3/10
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We get the following outcomes
(I) Relation between distance,mileage, and Amount of fuel spent is D=MN
(II) Amount of gas spent to travel 1058 miles = 52.29 gallons
It is given that
Distance D between two cities = 1058 miles
Mileage M of the car = 20 miles per gallon
as we know that
distance traveled D = mileage M* Number of gallons N
D=MN
what is the mileage?
Mileage is the number of miles traveled or covered.
So, the amount of gas spent to travel 1058 miles:
D/M = 1058/20 =52.29 gallons.
Hence,(I) relation between distance,mileage, and amount of fuel spent is D=MN.
(II) Amount of gas spent to travel 1058 miles = 52.29 gallons
to get more about mileage visit to:
let x = gallons of gas they will use
y = distance traveled
x = y/20
x = 1058/20 = 52.9 gallons of gas
B. Write and solve an algebraic equation to find out how many miles they will travel.
let x = distance traveled
y = gallons of gas used
x = 20y
x = 20(52.9)
x = 1058 miles
Hope this helps. Have a nice day.
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest tenth of a foot if necessary.
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Answer:
Step-by-step explanation:
Assuming a flat earth
initial measurement
tan5 = 131 / d₁
d₁ = 131/tan5 = 1,497.3368... ft
d₂ = 131/tan21 = 341.2666674...ft
distance from A to B
1497.3368 - 341.26666 = 1,156.1 ft
Rather daring to specify to the answer to the nearest tenth of a foot when no given measurement accuracy is even close to that same precision.
Final answer:
This is a trigonometry problem that can be solved by using the tangent function to find the distances from the boat to the lighthouse at two different angles of elevation, and then subtracting to find the distance travelled by the boat.
Explanation:
This question involves the concept of trigonometry, specifically inverse trigonometric functions. We can solve it by creating two right triangles and using the trigonometric function known as tangent. Due to the nature of the problem, we will consider the lighthouse as the opposite side while the distance from the boat to the lighthouse will serve as the adjacent side.
When the boat is at point A, we can write the following equation using the tangent of 5° - tan(5°) = 131/DistanceA. Solve this equation to find DistanceA.
Next, do the same when the boat is at point B. The equation for this scenario is - tan(21°) = 131/DistanceB. Resolve this equation to find DistanceB.
The distance from point A to B (which is what the question asks for) is just the difference between DistanceA and DistanceB. Make sure to take the absolute value to avoid a negative distance, and round the result to the nearest tenth of a foot if necessary.
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Answers
Answer: 0.05699
Step-by-step explanation:
The total number of cards in a deck = 52
The total number of black cards = 26
Then ,
The total number of face cards = 12
Then ,
The number of cards that are black and face cards = 6
Then ,
Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-