Four times the sum of a number and two increased by three is at least twenty seven
Answers
4x + 8 + 3 >= 27
4x + 11 >= 27
4x >= 16
x >= 4
Answer:
I can help with Aleks!
Step-by-step explanation:
x>4
I hope this helps!
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Greenland, the largest island in the world, is 21 times larger than Iceland. The combined area of Greenland and Iceland is 880,000 mi2. Write an equation to find the area of Greenland. (Use g to represent the area of Iceland.)
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consider triangle ABC. the sin(β)=b/c ; cos(α)=b/c, therefore sin(β)=cos(α). also, since this is a right triangle, β and α are complements
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The sum of a number and two is doubled: 2(N+2)
Six less than 3 times the number : 3N-6
The result is : =
Let's put it all together.
The answer is d)10.
Check your answer.
The sum of a number and two is doubled: 2(10+2)=24
Six less than 3 times the number : 3(10)-6=24
Good answer.
Final answer:
To solve the problem, create the equation 2(x + 2) = 3x - 6. Simplify the equation and solve for x to find the number.
Explanation:
To solve this problem, we can create an equation based on the given information. Let's call the number we're trying to find 'x'. The sum of the number and two can be written as (x + 2). Doubling this expression gives us 2(x + 2). 'Six less than three times the number' can be written as 3x - 6. So, we have the equation 2(x + 2) = 3x - 6. Solving this equation will give us the value of the number 'x'.
Expanding the equation, we get 2x + 4 = 3x - 6. Simplifying it further, we can subtract 2x from both sides to get 4 = x - 6. Adding 6 to both sides gives us 10 = x. Therefore, the number we're looking for is 10.
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Answers
Answers
t= 20/x seconds
b) d=25m
s= x+0.5 m/s
t= d/s = 25/x+0.5
c) total time = 6 seconds
therefore, 20/x + 25/x+0.5 = 6
make a common denominator of x(x+0.5):
(20(x+0.5) + 25x)/x(x+0.5) = 6
move the demoninator to the other side, and expand to form:
20x+10+25x = 6x(x+0.5)
45x+10= 6x^2 +3x
tidying it up (moving everything to one side)
6x^2 - 42x-10 = 0
divide everything by 2
3x^2-21x-5= 0 (as required)
d) use quadratic formula to solve
e) therefore, what does x equal?
hope this helps
A:4/5
B:-2
C:4
D:5
Answers
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
We have given that,
the unit rate for the proportional relationship is represented by the equation y=4/5x.
We have to determine the unit rate
What is the equation of proportionality?
The equation for proportionality is y = kx, where k is the constant of proportionality.
So in y = 4/5x,
The 4/5 is the constant of proportionality/unit rate for the proportional relationship.
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Answer:
A: 4/5
Step-by-step explanation:
The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.
So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.
b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?
Answers
Answer:
a) Mean=0 and Standard deviation=1
b) The z-scores have no units of measurement
Step-by-step explanation:
When we convert all the pulse rates of women to z-scores using the formula;
the mean is 0 and the standard deviation is 1.
The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.
b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.
Final answer:
Converting pulse rates into z-scores standardizes them into a standard normal distribution, yielding a mean of zero and a standard deviation of one. Z-scores are dimensionless and do not carry original physical units of measurement.
Explanation:
The question is asking about the properties of a z-score in the context of pulse rates of women. Here is the answer:
a) When converting to z-scores, regardless of the population parameters, the mean (μ) will always be 0 and standard deviation (σ) always 1. This conversion process is called standardization, which results in a standard normal distribution.
b) In the context of z-scores, the units are dimensionless. Because a z-score result is derived from a mathematical manipulation and not a direct measurement, it does not carry physical units like "beats per minute" in pulse rates. This characteristic enables us to make meaningful comparisons between different types of data.
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