Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]
Let 'X' = 55
[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]
Step(ii):-
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Final answer:-
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Determine whether the following is an example of a sampling error or a non sampling error. A psychiatrist surveyed 8000 people to see the proportion who had seen a psychiatrist at least once in their lives. Unfortunately, there was confusion amongst the respondents about the difference between a psychologist and a psychiatrist and the recorded proportion was higher than it should have been due to this confusion.
Answer:
The correct answer is - Non sampling error
Step-by-step explanation:
Sampling errors arises when a sample does not represent the whole population.
It is difference between the real values of the population and the values derived by using samples from the population.
A non-sampling error refers to an error that occurs during data collection, causing the data to differ from the true values.
Non sampling error are of two types , response error and non response error.
In the given question , the error is a response error.
So , it is an example of Non-Sampling error.
Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.
Answer:
The probability is 13.33%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).
The formula to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.
The probability that the next roll is a five is:
[tex]\displaystyle P=\frac{24}{180}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{24}{180}[/tex]
[tex]\displaystyle P=\frac{2}{15}[/tex]
Dividing:
[tex]\displaystyle P=0.1333 = 13.33\%[/tex]
The probability is 13.33%
Given that line AD ll to line EH, find the measure of
Answer:
x=7.5
Step-by-step explanation:
Since AD II EH, ∠CBD=∠BFH (alternate angles)
2x+60=10x
8x=60
x=7.5
Answer:
x = 7.5
each angle measures 75°
Step-by-step explanation:
the two angles are corresponding, meaning they are equal
10x = 2x + 60
8x = 60
x = 7.5
Which number will you read 'two-tenths'?
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
a+1.6=2.1
Can someone help me with this and can you also do the work to it that would be nice (:
Answer:
its 0.5
Step-by-step explanation:
just subtract 2.1 and 1.6
American Sign Language
In general, Deaf culture is more open about honestly expressing emotion than other cultures.
a. True
b. False
Answer:
false ignore this I needed to write something else to hand it in
¾+(⅓÷⅙)-(-½)=( ) need help with this question
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)
1/3 / 1/6 turns into 1/3 * 6
Reduce the numbers:
3/4 + (1/3 * 6) + 1/2
cross multiplication, 6 divided by 3 = 2.
So the new equation is 3/4 + 2 + 1/2
Then you calculate.
3/4 + 2 + 1/2 = 13/4
13/4 reduced is 3 1/4 or 3.25
While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in five sizes, while packets of licorice nibs come in two. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have
Answer and explanation:
First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs
To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together
So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy
If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs
Total choices: 15+4=19
He has 19 different options for selecting candy.
Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:
Number of sizes x number of options = X Gummy candy = 5 x 3 = 15 Licorice nibs = 2 x 2 = 4 15 + 4 = 19
Therefore, he has 19 different options for selecting candy.
Learn more in https://brainly.com/question/238045
need help fast im giving 20 points
Answer:
c
Step-by-step explanation:
Type using number words. (Remember to use a hyphen in your answer where needed.)
355
Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.
Need help asap
Will make you brainlist
Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3x is the slope (change in between points)
-3 is the y intercept (the point on the y axis)
2- 1/2n=3n+16
I need you to solve the whole equation step by step
Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
Answer:
2-16=3n+1/2n
-14=(6n+n)/2
-28=7n
n=-4
Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7
Answer:
D. 7
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Suppose that there were 226977 visitors to your website over a period of a week, and of those 56330 clicked on the button to get more information about your product. If you wanted to model the probability distribution of the number of visitors who clicked the button, you would typically estimate the mean of the distribution to be equal to the observed number of visitors who clicked, that is the sample mean: 56330.
Required:
Under this setup, what is the variance of this distribution?
Answer:
The variance of this distribution is 42353.2
Step-by-step explanation:
For each visitor, there are only two possible outcomes. Either they clicked on the button, or they did not. Visitors are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
In this question:
226977 visitors, so [tex]n = 226977[/tex]
56330 clicked, so [tex]p = \frac{56330}{226977} = 0.2482[/tex]
Then
[tex]V(X) = 226977*0.2482*(1 - 0.2482) = 42353.2[/tex]
The variance of this distribution is 42353.2
3/4 into a percent and a decimal
Answer:
75% and .75
Step-by-step explanation:
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
Given the following sets, find the set .
U{1, 2, 3, . . ., 7}
A{1, 3, 4, 5}
B{2, 3, 5}
C{1, 2, 3, 4, 6}
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38
Answer:
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61✓6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]
11, 60 and 61 is the right answer.usebthe elimination method to solve the following system of equations
4x+y=13
5x-y=5
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
can you pls answer with an explanation
A data set has 100 data points. Enter values to answer each of the questions below.
CLEARCHECK
How many data points are above the median?
How many data points are below the 1st quartile?
How many data points are between the 1st and the 3rd quartiles, or in the interquartile range (IQR)?
Answer:
d01n6y09r4551gnm3nt5ch3ck
Step-by-step explanation:
What expression is not equivalent to 8 + (n - 4)?
A. (8 + n) - 4
B. n + 4
C. 12 + n
D. (8 - 4) + n
Write down the next 2 terms of this quadratic sequence:
1, 3, 7, 13, ..., ...
Step-by-step explanation:
[tex] {n}^{2} + (n + 1)[/tex]
where n starts from 0.
so the answer is :
16+5=21,
25+7= 32
An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.
Jonnell has finished 20% of an art project that taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
A. 100 degrees
B. 150 degrees
C. 33 degrees
D. 107 degrees
I need help with my exam
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
In the equation y = mx + b, the "b" is the y-intercept
True
False
Answer:
False
Hope my answer helps you pls mark me as brainiest :)