The z-score for a score of 92 is higher than the z-score of a score of 688, therefore, the score that is better is: b. A score of 92
Recall:
Z-score for a score of 92:
raw score = 92
mean = 71
standard deviation = 15
Z-score = (92 - 71)/15 = 1.4
Z-score for a score of 688:
raw score = 688
mean = 493
standard deviation = 150
Z-score = (688 - 493)/150 = 1.3
Therefore, the z-score for a score of 92 is higher than the z-score of a score of 688, therefore, the score that is better is: b. A score of 92
Learn more about z-score on:
Answer:
b. A score of 92
Step-by-step explanation:
The z-score measures how many standard deviations a score is above or below the mean.
It is given by the following formula:
In which is the score,
is the mean and
is the standard deviation.
In this problem, we have that:
The best score is the one with a higher z-score. If the z-score is the same for both, then they have the same relative position.
A score of 92 on a test with a mean of 71 and a standard deviation of 15.
Here we have
So
A score of 688 on a test with a mean of 493 and a standard deviation of 150
Here we have
The score of 92 has a higher Z-score, so it is better.
The correct answer is:
b. A score of 92
Answer:
2.28% of tests has scores over 90.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What proportion of tests has scores over 90?
This proportion is 1 subtracted by the pvalue of Z when X = 90. So
has a pvalue of 0.9772.
So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.
Answer:
13.1%
Step-by-step explanation:
Principal value of the loan = $550
Maturity Value of the loan = $560
Let the rate of simple interest = R
Time = 50 days = years
Simple Interest = Maturity Value - Principal Value = $560 - $550 = $10
But Simple Interest =
Substituting,
Answer:
0.2048
Step-by-step explanation:
p(good transistor) = 40/50 = 4/5
p(defective transistor) = 10/50 = 1/5
the probability of having 3 good ones and 2 defective transistors in the test set :
= 5C3×(4÷5)³×(1÷5)²
= 0.2048
Answer:
0.2048
Step-by-step explanation:
Answer:
1 275.5 m
Step-by-step explanation:
Measure of the circumference = 4007
on the other hand ,the Measure of the circumference = (diameter)×π
then
the measure of the diameter = 4 007÷π = 1 275.46771393845 m
Answer:
The probability that the parcel was shipped expressed and arrived the next day = 0.2375 .
Step-by-step explanation:
We are given that a certain delivery service offers both express and standard delivery.
Let Proportion of parcels sent by standard delivery, P() = 0.75
   Proportion of parcels sent by express delivery, P() = 0.25
Let event B = Parcel arriving the next day
Also, Probability of parcel arriving the next day given it was sent through standard delivery, P(B/) = 0.8
Probability of parcel arriving the next day given it was sent through express delivery, P(B/) = 0.95
Now, Probability that the parcel was shipped expressed and arrived the next day = P() * P(B/
) = 0.25 * 0.95 = 0.2375 .
Answer:
If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by
where x is the number of produced products.
The revenue function is
With both equations, we can know the profit function as
For the firm to have positive profits, it has to produce x articles with the condition
Or, equivalently
Solving for x
Thus
This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
Answer:
0.0009765625‬
Step-by-step explanation:
Each multiple choice question has 4 equally likely alternatives.
Hence, probability of guessing the right answer for 1 question is = 0.25
Hence, probability of guessing the wrong answer is = 0.75
The probability of guessing 5 or more questions correctly = probability of guessing 5 questions correctly & 1 question wrong + probability of guessing 6 questions correctly
=
= 0.000732421875 + 0.000244140625
= 0.0009765625‬
The equation of the tangent of the plane will be equal to 2 (x - 1) +4 (y - 2) + 6(z - 3) = 0
A three-dimensional concrete figure with a spherical-like shape is known as a spherical in geometry. It is a collection of points in three dimensions that are linked by a single common point and are spaced equally apart.
As per the data given in the question,
f(x) = 2x
f(y) = 2y and,
f(z) = 2z
At points (1, 2, 3),
For (1, 2, 3) = 2(1) = 2
For (1, 2, 3) = 2(2) = 4
For (1, 2, 3) = 2(3) = 6
The equation for normal,
n = 2i + 4j + 6k
The equation for the tangent of the plane,
2 (x - 1) +4 (y - 2) + 6(z - 3) = 0
The x-intercept can be found when y and z are 0.
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Answer:
The probability that an odd number rolls of a die for less than 3 times is 0.054.
Step-by-step explanation:
The sample space of rolling a fair die is, S = {1, 2, 3, 4, 5, 6}
The odd numbers are, {1, 3, and 5}.
The probability that an odd number occurs is:
The die was rolled n = 10 times.
Let X = number of rolls in which an odd number occurs.
The random variable
The probability distribution of binomial is:
Compute the probability that an odd number will occur less than 3 times as follows:
Thus, the probability that an odd number rolls of a die for less than 3 times is 0.054.
Answer:
Step-by-step explanation:
Since the weight of the products are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weight of the product.
µ = mean weight
σ = standard deviation
From the information given,
µ = 4 ounces
Variance = 0.25²
σ = √variance = √0.25² = 0.25
We want to find the probability that a randomly selected unit from a recently manufactured batch weighs no more than 3.5 ounces. It is expressed as
P(x ≤ 3.5)
For x = 3.5,
z = (3.5 - 4)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.0228