Answer:
70x + 50; $16, 850
The error in the given options are the sum of probability given greater than 1, the negative value of the probability and the wrong value given in (d).
Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The given options can be examined one by one as follows.
(a) The sum of the probabilities is given as,
⇒ 0.19 + 0.38 + 0.29 + 0.15 = 1.01
Since, the sum of the probabilities cannot be greater than 1.
The given statement is incorrect.
(b) The probability of complementary event is the difference of 1 and the
probability of that event.
It implies P(rain) = 1 - P(not rain)
Here, P(rain) = 0.40 and P(not rain) = 0.52 which do not form the complementary pair.
Thus, the given statement is incorrect.
(c) The probability of an event cannot be negative.
Thus, the given statement is incorrect.
(d) The given probabilities are calculated as,
P(heart) = Number of hearts ÷ Total cards
⇒ 4/52 = 1/13
Which is given 1/4 in the given option.
Thus, the given statement is incorrect.
Hence, the error in the given statements are found by using the properties of probability.
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Answer:
fff
Step-by-step explanation:
f4r
Answer:
And we can find this probability using the z table or excel:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of toothpasye of a population, and for this case we know the distribution for X is given by:
Where and
The capacity is 8.45 ounces and we are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z table or excel:
Answer:
We need to select two people from the 6 choices available. Let us denote the women by W1, W2 and denote men by M1, M2, M3 and M4.
The experiment is to choose two people among the 6. It is given that the order of selection does not matter. Therefore, M1 M2 is the same as M2 M1.
One sample point is M1, M2. Its description is that when choosing two people from 6 available, we choose Man 1 and Man 2 to be the part of the jury.
Step-by-step explanation:
Answer:
The answer to the question is
The war has caused the combined daily output of the two countries to decline by 50%
Step-by-step explanation:
To solve this we have
a worker at Caninia produce Blankets = 2 and Meals = 8
a worker at Felinia produce Blankets = 5 and Meals = 1
Each country has 10 workers, therefore, total production rate for each of the two countries is
Caninia produce Blankets = 20 and Meals = 80
Felinia produce Blankets = 50 and Meals = 10
Total production = Blankets = 70 and Meals = 90
Without trade between the two countries we have
Caninia produce Blankets = 10 and Meals = 40
Felinia produce Blankets = 25 and Meals = 5
Total production = Blankets = 35 and Meals = 45
Therefore the war has caused the combined daily output of the two countries to decrease by
Initial total production = Blankets = 70 and Meals = 90
Present total production = Blankets = 35 and Meals = 45
Difference in production= Blankets = 35 and Meals = 45
(Decline in production)/(Initial production)×100
For blankets → (35/70)×100 = 50 % decrease
For Meals → (45/90)×100 = 50 % decrease
Total decrease in daily output for the two countries = 50 %
Answer: 10lbs of the $1.5 a pound chocolate was used in the mixture.
20lbs of the 90¢ a pound chocolate was used in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the $1.5 a pound chocolate that was used in the mixture.
Let x represent the number of pounds of the 90¢ a pound chocolate that was used in the mixture.
The total number of pounds in the mixture is 30. It means that
x + y = 30
A mixture of 30 lbs. of candy sells for $1.10 a pound. This means that the total cost of 30lbs of the mixture is
30 × 1.1 = $33
This means that
1.5x + 0.9y = 33- - - - - - - - -- - 1
Substituting x = 30 - y into equation 1, it becomes
1.5(30 - y) + 0.9y = 33
45 - 1.5y + 0.9y = 33
- 1.5y + 0.9y = 33 - 45
- 0.6y = - 12
y = - 12/ - 0.6
y = 20
x = 30 - y = 30 - 20
x = 10
Answer:
B
Step-by-step explanation:
Answer:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.
Step-by-step explanation:
Assuming this complete question:
A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:
Our student: Final exam score = 85; Class: M = 70; SD = 10.
His friend: Final exam score = 45; Class: M = 35; SD = 5.
The Z score for the student and his friend are:
A) Our student, Z= -1.07; his friend, Z= -1.14.
B) Our student, Z= 1.50; his friend, Z=2.00.
C) Our student, Z= 1.07; his friend, Z= -1.14.
D) Our student, Z= 1.07; his friend, Z= 1.50
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution
Let X the random variable that represent the scores for our student, and for this case we know that:
The z score is given by:
If we use this we got:
Let Y the random variable that represent the scores for his friend, and for this case we know that:
The z score is given by:
If we use this we got:
So then the correct answer for this case is:
B) Our student, Z= 1.50; his friend, Z=2.00.
Answer:
8
Step-by-step explanation:
100 ≥ (30 - 14)x - 25
100 ≥ 16x - 25
100 + 25 ≥ 16x
125 ≥ 16x
x ≥ 7.81
Since a scarf sale can not be a fraction, she must sell at least 8 scarves daily.
ANSWER:
The correct answer is
-This study is blind.
-This study is an experimental study.
STEP-BY-STEP EXPLANATION:
This study includes a controlled treatment (in this manner it is an investigation) and subjects didn't have a clue about the idea of the treatment so it is visually impaired.
Answer:
False.
Researcher has taken the temperature as independent variable and latitude as the dependent variable which is wrong. Temperature depends on latitude. So it should be taken as dependent variable and the latitude as independent variable.