Hence, x=-2 and y=4 are the answers to the system of equations.
For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:
5x - 9(-2x) = -46
Simplify and find x's value:
5x + 18x = -46
23x = -46
x = -2
We can use the second equation to get y now that we know the value of x:
y = -2x = -2(-2) = 4
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Answer:
300
Step-by-step explanation:
Answer:
x = 25
Measure of each angle label is 42°
Step-by-step explanation:
(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:
x + 17 = 3x - 33
Solve for x. Collect like terms
17 + 33 = 3x - x
50 = 2x
Divide both sides by 2
50/2 = 2x/2
25 = x
Measure of the two angles are:
x + 17 = 25 + 17 = 42° (substitution)
3x - 33 = 3(25) - 33 = 75 - 33 = 42°
patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the
Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to
the truth about the entire population? Explain. (6 points) (10 points)
Answer:
A)i) Population: Total number of people that reside in Florida..
II) Sample: 62348 people that took part in the random survey.
B) No, the estimates are not close to the truth of the entire population.
Step-by-step explanation:
A)i) The population is the total number of people that reside in Florida.
II) The sample is the 62348 people that took part in the random survey.
B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.
The probability of at most three boys in ten births is approximately 0.17139, or about 17.14%.
It is a branch of mathematics that deals with the occurrence of a random event.
This is a binomial probability problem with n = 10 (number of births) and p = 0.5 (probability of a boy or a girl).
We want to find the probability of at most three boys in ten births, which is equivalent to finding the probability of 0, 1, 2, or 3 boys.
To calculate this probability, we can use the binomial probability formula:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 0.00098 + 0.00977 + 0.04395 + 0.11719
= 0.17139
Therefore, the probability of at most three boys in ten births is approximately 0.17139, or about 17.14%.
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Answer:
Step-by-step explanation:
This is a binomial distribution
The probability of at most 3 boys=
P(exactly 0 boys)+P(exactly 1 boy)+P(exactly 2 boys)+P(exactly 3 boys)
.171875