Answer:
Step-by-step explanation:
You can solve it by substitution, by setting the first equation to y=1-x.
Replace the y in the equation by y=1-x.
4x + 3(1-x) = 8.
Distribute the 3.
4x + 3-3x = 8
Combine like terms.
x + 3 = 8
x =5
Plug 5 into y=1-x.
y=1-5
y= -4
B. False
Answer with explanation:
Meaning of Sample Space: Total number of Elements in an event when an experiment is done under same condition, several times and produce the same outcome every time.
For, example: Toss an Unbiased Coin, 100 or 1000 times, it will produce the same outcome every time which are Head and Tail.
Total Possible Outcome: Suppose In a Bag, there are 5 Red , 5 Green , and 6 Orange Color Balls.We want to draw a ball.So,Every time you draw a ball from the bag, it will be either, Red, green or Yellow.So, total Possible outcome of balls in the bag, will be =5 Red +5 Green +6 Orange=16 Balls.
≡True Statement:⇒The number of elements in the sample space of an event is equal to the total number of possible outcomes.
b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?
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.
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.
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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A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1
The one that has the -1/5 inside is the one.
each term is multiplied by -1/5.
The first term is -3
for a_1=first term
r=common ratio
n=which term
In this case
The first term=-3
The common ratio is -1/5
so,
None of them A and B are the same
The one that has the -1/5 inside is the one.
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