Answer:
a. The percentage of data within 1 standard deviation of the mean is 68.26%.
b. The percentage of data to the right of 1.5 standard deviations below the mean is of 93.32%.
c. The percentage of data more than 0.5 standard deviations away from the mean is of 61.7%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
a. Within 1 standard deviation of the mean
Between [tex]Z = -1[/tex] and [tex]Z = 1[/tex]
This is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
The percentage of data within 1 standard deviation of the mean is 68.26%.
b. To the right of 1.5 standard deviations below the mean
Greater than [tex]Z = -1.5[/tex], that is, 1 subtracted by the pvalue of Z = -1.5.
Z = -1.5 has a pvalue of 0.0668
1 - 0.0668 = 0.9332
The percentage of data to the right of 1.5 standard deviations below the mean is of 93.32%.
c. More than 0.5 standard deviations away from the mean
Below [tex]Z = -0.5[/tex] or above [tex]Z = 0.5[/tex]. These percentages are the same, so we find one and multiply by 1.
Below Z = -0.5
This is the pvalue of Z = -0.5, which is 0.3085
0.3085*2 = 0.617
The percentage of data more than 0.5 standard deviations away from the mean is of 61.7%.
Question 5 options:
Solve for the value of x.
3x - 4 = 8
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x - 4 = 8
3x - 4 + 4 = 8 +4
3x = 12
x = 4
What is the answer? please help
Answer:
The answere is -8 i think
Step-by-step explanation:
Answer: The answer is c
Step-by-step explanation:
There are 10 girls for every 12 boys. If there are 50 girls,
how many boys are there?
O а) 60
O b) 12
O c) 52
O d) 62
Answer:
70
Step-by-step explanation:
PLEASSE HELP ME! Im stuckkklll
Answer:
5/8
Step-by-step explanation:
12. Which fraction does not represent a rational number?
a) -77/78
b) 0/25
c) -16/-9
d) 3/0
•Help me please!!!!
•i need answers as quickly as possible.
•i’m giving 15 points!!!
Which equation represents the same proportional relationship as the graph?
13
12
11
10
9
8
7
6
5
4
37
2
1
1 2 3 4 5 6 7 8 9 10 11 12 13 x
3
O
o y = 2X
ya
II
Х
Answer: 13
Step-by-step explanation: 13 because if u multiple u get 13 I hope this helped :)
On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6) is
y = 3/5x
and, x y = 3/5
What is proportionality?The property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Here the given three points are (0, 0), (5, 3), (10, 6).
So, the equation of the line passing through the points (0, 0), (5, 3) is
y- 0/ (x-0)= (3-0)/(5-0)
y/ x = 3/5
y= 3/5x
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(-0.5x - 7) - (1.5x + 3.4)
Answer:
-2x-10.4
Step-by-step explanation:
Hope this helps
each gram of salt contains 0.393 g of sodium.how much sodium is in 55.7 g of salt
Answer:
1 gram salt = 0.393 g sodium
55.7g = ?
0.393 x 55.7 = 21.8901 g of sodium
Answer:
Your answer is 21.8901
Step-by-step explanation:
Multiplication.
55.7 grams of salt × 0.393 = 21.8901 grams of Sodium.
A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit
Answer:
211 ways
Step-by-step explanation:
Given :
Number of questions = 20
Number of correct correct questions to be answered in other to qualify should be atleast 18
Hence,
Correct questions could be either 18, 19 or 20 ;
Using combination :
nCr = n! ÷ (n-r)!r!
20C18 = 20! / (20 - 18)!18!
20C18 = (20* 19) / (2 * 1) = 190 ways
20C19 = 20! / (20-19)!19!
20C19 = 20 / 1 = 20 ways
20C20 = 20! / 0! 20! = 1 ways
Hence, total number of possible ways = (190 + 20 + 1) = 211 ways
6 1/2 divided by 3/4
Answer: 8 2/3
13/2 ÷ 3/4
keep change flip
13/2 × 4/3
13×4= 52
2×3= 6
52/6= 8 2/3
I hope this helps:
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 30 hours and the median is 26.2 hours. Twenty-four of the families in the sample turned on the television for 15 hours or less for the week. The 12th percentile of the data is 15 hours. Step 1 of 5 : Based on the given information, determine if the following statement is true or false. The 54th percentile is greater than or equal to 25 hours.
Answer:
The given statement is false
Step-by-step explanation:
Given that:
mean = 30 hours
median = 26.2 hours
In the given sample, 24 of the families turned on the television for less than 15 hours for the week.
The 53rd percentile is less than 25 hours.
The Median represents the value that equally divides the whole data into two parts. This signifies that the median is the 50th percentile of the data.
Provided that the median is 26.2 hours. So, the 54th percentile should be greater than 26.2 hours.
Thus, the given statement is false.
I don’t know the answer I just need some points to ask more questions !!! have a good day !!
Answer:
have a good day too
Step-by-step explanation:
Please help me answer this
Explain you’re answer
Will give braisnlt
Answer:
c
Step-by-step explanation:
here is a saying that i will always remember: NEVERRRR repeat your eX's
go down the graph and whichever x-values repeat is NOT a function.
on graph a: -2 repeats
graph b: 0 repeats
graph d: -4 repeats
35.7 divided by 0.07
486.12 divided by 0.6
3.43 divided by 0.035
5,418.54 divided by0.009
812.5 divided by 1.25
Answer:
510, 810.2, 98, 602.06, 650
Step-by-step explanation:
its in the order as you put hope I got them right sorry if I messed up :)
Answer:
1.) 510
2.) 810.2
3.) 98
4.) 555.556
5.) 650
How much hundred thousands = 20 ten thousand
Answer:
20 hundred thousands
Step-by-step explanation:
20 x 1000 = 20000
Answer:
two hundred thousand
Step-by-step explanation:
A random sample of 11 nursing students from Group 1 resulted in a mean score of 65 with a standard deviation of 4.7. A random sample of 16 nursing students from Group 2 resulted in a mean score of 74 with a standard deviation of 2.5. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2
Answer:
The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01
Step-by-step explanation:
Groups Sample Size Mean Standard Deviation
1 11 65 4.7
2 16 74 2.5
Formulate null and alternate hypotheses as
H0 : u1 < u2 against Ha: u1 ≥ u 2
That is the mean of the group 1 is lower than the mean of the group 2
Degrees of freedom is calculated df = υ= n1+n2- 2= 11+16-2= 23
The significance level alpha is chosen to be ∝ = 0.05
The critical region t ≤ -t (0.05, 23) = -1.714
And if we choose alpha = 0.01 the critical region would be
t ≤ -t (0.05, 23) = -2.5
Here the difference between the sample means is x`1- x`2= 65-74= -9
The pooled estimate for the common variance σ² is
Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]
= 1/11+16-2 [ (65)²+(74)²]
= 1/23[ 4225+5476]
= 1/23[9701]
=421.782
Sp =√ 421.782=20.5373
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -9/ 20.5373√1/11+ 1/16
t= -9/8.0439
t= -1.118860
The calculated value of t= -1.118860 does not lie in the critical region t= -1.714 or t= -2.5. Therefore we accept our null hypothesis that the mean score for Group 1 is significantly lower than the mean score for Group 2 for both significance level of 0.05 and 0.01
Mrs. Keyes found that 7
8
of the sixth graders that said
they enjoyed math had received high grades in math class.
What fraction of the sixth graders received high grades and
enjoyed math?
Answer: It is a trick question 78 kids did or how many total Sixth Graders is there that would help is there 100 in total or what?
Step-by-step explanation:
Fill in the blank. If x:6 as 3:9, then x is equal to ___.
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
9÷6=1.5 3÷1.5=2
I hope this helps, and have a nice day! :)
Find the missing data identify given the following information. 13,17,15,20,14,x. The mean is 15
Answer:
X = 11
Step-by-step explanation:
(13 + 17 + 15 + 20 + 14 + x) ÷ 6 = 15
13 + 17 + 15 + 20 + 14 + x = 15 x 6
13 + 17 + 15 + 20 + 14 + x = 90
13 + 17 + 15 + 20 + 14 = 79
79 + x = 90
90 - 79 = 11
X = 11
Please solve the question below 1
Answer:
A
Step-by-step explanation:
Find the mean:
Day 1: 2
Day 2: 1
Day 3: 4
Day 4: 5
Day 5: 0
Day 6: 7
Mean = [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex]
This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.
Therefore we can conclude that:
"Chawrdi complied with the guideline because the mean number of hours played is [tex] \frac{2 + 1 + 4 + 5 + 0 + 7}{6} = 3.17 [/tex].
A radio station had 162 tickets to a concert. They gave away 5 times as many tickets to listeners as to employees. How many tickets did they give away to employees?
Answer: 810
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
trust me I did it it's 27
A factory made 100 jars of peanut butter. 30% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
the acute angle of a right-angled triangle are in the radio of 3:7. find the angles
The right angle is 90 degrees.
The 3 inside angles are a total of 180 degrees.
The two acute angles would need to equal 180-90 = 90 degrees.
Using the ratio you have 3x + 7x = 90
Simplify to get 10x = 90
Divide both sides by 10 to get x = 9
Now you have the two angles:
Angle 1 = 3 x 9 = 27
Angle 2 = 7 x 9 = 63
PLEASE QUICKLY!
find x:
-5x^2=1.8
Answer:
The answer and explanation is on the picture.
7 is what percent of 14?
8x+12y=124 and 16x+23y=243
Elsie bought a video game for $85.00. If the store Charges 170% of what it
paid for the game, how much is the store's profit?
Answer:
$59.5
Step-by-step explanation:
170% means 170/100
To get 170% multiply 170/100 by 85.
14450/100 will be the fraction.
Simplified it is 144.5.
That is how much Elsie has to pay.
Subtract to find the profit.
144.5-85 is 59.5.
The value of the store's profit will be $35.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Elsie bought a video game for $85.00.
And, the store Charges 170% of what it paid for the game.
Now,
Since, Elsie bought a video game for $85.00.
And, the store Charges 170% of what it paid for the game.
So, We can formulate;
Let C be the cost of the game.
⇒ 170% of C = 85
⇒ 170/100 × C = 85
⇒ C = 85 × 100 / 170
⇒ C = $50
Thus, The store's profit = $85 - $50
= $35
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Help ASAP! And explain!
Answer: Choice A) Angle-Angle-Side
This abbreviates to AAS.
==========================================================
Explanation:
AC bisects angle DAB, which tells us that angle DAC and angle CAB are the same measure (in this case, each is 106/2 = 53 degrees).
Because angle DAC = angle CAB, this forms the second "A" of "AAS". The first "A" is due to angle ABC = angle ADC.
The "S" refers to AC = AC by the reflexive property.
"Angle-Angle-Side" shortens to "AAS". Be sure not to mix it up with ASA which is a similar theorem. In the case of AAS, the side is not between the angles mentioned. If we knew that AB = AD, then we could use ASA.
What is the area of the obtuse triangle given below?
24
9
O A. 9 sq. units
B. 18 sq. units
O C. 8 sq. units
O D. 11 sq. units
SUB
Answer: 9
Step-by-step explanation:
The area of the obtuse triangle given is,
⇒ Area of triangle = 9 square units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The obtuse triangle given below.
Here, Base = 9
And, Height = 2
Now, WE know that;
⇒ Area of triangle = 1/2 × Height × Base
Put all the values we get;
⇒ Area of triangle = 1/2 × Height × Base
⇒ Area of triangle = 1/2 × 2 × 9
⇒ Area of triangle = 9 square units
Thus, The area of the obtuse triangle given is,
⇒ Area of triangle = 9 square units
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Please help, this is important.
Answer: B, D
Step-by-step explanation:
You Can just count the blocks
B: has 24 and D has 24 which both of them are between 30 and 20
Answer:
Step-by-step explanation:
D and b
