Answer:
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?
2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.
Looking at the z-table, Z = 2.45 has a p-value of 0.9929.
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
URGENT NEED HELP CLICK TO SEE
Answer:
3:7
Step-by-step explanation:
15-8=7 green skateboards
3:7
Find the reference angle! I NEED HELP ASAP PLS!
Answer:
60°
Step-by-step explanation:
360 - 300 = 60
Hope this helps!
Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando
Answer:
"0.0373" seems to be the appropriate solution.
Step-by-step explanation:
The given values are:
n₁ = 43
n₂ = 35
[tex]\bar{x_1}=217800[/tex]
[tex]\bar{x_2}=204700[/tex]
[tex]\sigma_1=30300[/tex]
[tex]\sigma_2=33800[/tex]
Now,
The test statistic will be:
⇒ [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]
On substituting the given values in the above formula, we get
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]
⇒ [tex]=\frac{13400}{7347.93}[/tex]
⇒ [tex]=1.7828[/tex]
then,
P-value will be:
= [tex]P(Z>1.7828)[/tex]
= [tex]0.0373[/tex]
Find out how long it takes a $2900 investment to double if it is invested at 9% compounded quarterly. Round to the nearest tenth of a year.
Answer:
7.8 years
Step-by-step explanation:
Formula
[tex]PV(1+\frac{i}{n})^{nt}[/tex]
we have
[tex]2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957[/tex]
Which rounds to
7.8
17521 rounded to the significant figure
Options are:
80
45
90
100
=>x+45+45=180°
=>x+90=180°
=>x=180°-90°
=>x=90°
Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?
Answer:23.96
Step-by-step explanation:
100-90=10%
10/100=0.10
0.10(8550)=855
100-50=50%
50/100=0.50
0.50(782)=391
855+391=1246
1246/52=23.96
An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 61% C: Scores below the top 39% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 83.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 72.3 and a standard deviation of 8.
This means that [tex]\mu = 72.3, \sigma = 8[/tex]
Find the minimum score required for an A grade.
This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 72.3}{8}[/tex]
[tex]X - 72.3 = 1.34*8[/tex]
[tex]X = 83[/tex]
The minimum score required for an A grade is 83.
Can someone please help me ASAP
A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test
Answer:
Independent of the unknown population standard deviation σ
Step-by-step explanation:
It is one tailed test so the data is right skewed.
The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.
Here the number of degrees of freedom in = n-1= 35- 1= 34
This is the only parameter of the t distribution.
The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.
3/4(x-2)+1/3(2x+5)=4
Answer:
X=86/17
Step-by-step explanation:
Answer:
x=46/17
Step-by-step explanation:
Let's solve your equation step-by-step.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
Step 1: Simplify both sides of the equation.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)
3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4
( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)
17/ 12 x+ 1/ 6 =4
17/ 12 x+ 1/ 6 =4
Step 2: Subtract 1/6 from both sides.
17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6
17/ 12 x= 23/ 6
Step 3: Multiply both sides by 12/17.
( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )
x= 46/ 17
La suma de un numero mas 16 es igual a 31
Answer:
47
Step-by-step explanation:
if all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?
A The new volume is 2 times the old volume.
B. The new volume is 4 times the old volume.
c. The new volume is 8 times the old volume.
D. The new volume is 9 times the old volume
Answer:
The new volume is 4 times the old volume ♡
It says: a water tank of a pyramid has a rectangular base with dimensions of 10 feet by 15‘ the height of the Rectangular pyramid is 12 feet water fills half of the volume of water tank how many more cubic feet of water is needed to finish the water tank: PLEASE HELP THIS GONNA HELP ME PASS TO THE NEXT GRADE
Answer:
600
Step-by-step explanation:
V=(LxWxH)/3
Multiply 10x15x12/3 and get 600
Help pls I’ll give extra points
Answer:
Step-by-step explanation:
need help due friday
Answer:
C. f(x) = 40(1/4)^x
Step-by-step explanation:
Check all the options:
When x = 0
A. f(x) = 1/4(40)^x
f(x) = 1/4(40)^0
f(x) = 1/4(1)
f(x) = 1/4
When x = 0
B. f(x) = 1/2(40)^x
= 1/2(40)^0
= 1/2(1)
f(x) = 1/2
When x = 0
C. f(x) = 40(1/4)^x
= 40(1/4)^0
= 40(1)
= 40
When x = 0
D. f(x) = 4(1/3)^x
= 4(1/3)^0
= 4(1)
= 4
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
Write (4b^4)^2 without exponents.
Answer:
(4*b*b*b*b)*(4*b*b*b*b)
Which system of linear equations has exactly one solution?
2y = 10x + 4
y = 5x - 2
y = 2x - 3
2y = x - 12
y = 8x + 3
y = 8x + 7
15y = 30x + 90
y = 2x + 6
Answer:
y = 2x - 3
2y = x - 12
Step-by-step explanation:
HELP ASAP DUE TOMORROW
Answer:
5) P (arrive) + P (not arrive) = 100% Complements
80% + P( not arrive) = 100% Substitute thr ralees
P ( not arraive) = 100% - 80% Isolate the needed
P ( not arrive) = 20%
therefor, the probability of not arriving on time is:-
20%, or 0.20, or 1/5
The complements of arriving on time is not arriving on time.
The probability is equal to 100%
--------------------------------
hope it helps..
have a great day!
Danny is measuring two pyramids whose bases are squares. Given the height hhh and volume VVV of the first pyramid, Danny uses the formula a=\sqrt{\dfrac{3V}{h}}a= h 3V a, equals, square root of, start fraction, 3, V, divided by, h, end fraction, end square root to compute its base's side length aaa to be 555 meters. The second pyramid has the same volume, but has 444 times the height. What is the side length of its base?
Answer: THE ONE ABOVE IS WRONG
A= 3V/h
Step-by-step explanation:
Formulas may contain multiple variables, along with known numbers and letters that stand for known constants like \piπpi.
We can highlight a certain variable in the formula by treating the formula as an equation where we want to solve for that variable.
In this case, we need to solve the equation V =\dfrac{1}{3}AhV=
3
1
AhV, equals, start fraction, 1, divided by, 3, end fraction, A, h for AAA.
Hint #22 / 3
\begin{aligned} V&=\dfrac{1}{3}Ah \\\\ \dfrac{3V}{h}&=A \end{aligned}
V
h
3V
=
3
1
Ah
=A
Hint #33 / 3
This is the result of rearranging the formula to highlight the base area:
A=\dfrac{3V}{h}A=
h
3V
It works I did it in Khan
if a1= 7 and r=3, find a4
Answer:
a4 = 189
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient r between consecutive terms is always the same.
The nth term of the sequence is given by:
[tex]a_n = a_1*r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this question:
[tex]a_1 = 7, r = 3[/tex]
The fourth term is:
[tex]a_4 = 7*3^3 = 189[/tex]
So
a4 = 189
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups, and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Draw a conclusion and interpret the decision.
A. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
B. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
C.We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
D. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to support Fran's claim that there is a significant difference between the mean number of miles run each week by group runners and individual runners.
Answer:Sorry i have no time to read it all bro
Step-by-step explanation:
Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7
Francesa buys 25 songs from an online business. Each song costs $1.99. She pays a total of $52.74 for 25 songs.
Answer:
2.99
Step-by-step explanation:
if you are trying to ask what she payed for tax the anwser is above
Distributive property
2(x + 1)
Answer:
Multiply using the distributive property which will give you the answer 2x + 2.
Step-by-step explanation:
Answer:
2x + 1
Step-by-step explanation:
2 * (x + 1) |
\/
2x + 1
Which of the following is not true Categorical data are also referred to as nominal or qualitative data. Numerical data can be either discrete or continuous. Categorical data have values that are described by words rather than numbers. All listed statements are true The number of checks processed at a bank in a day is categorical data.
Answer:
The number of checks processed at a bank in a day is categorical data.
Step-by-step explanation:
In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.
A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.
Basically, numerical data are classified into two (2) main categories and these are;
1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.
2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.
Hence, the number of checks processed at a bank in a day is discrete data.
Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.
Answer:
Not correct
Step-by-step explanation:
Given:
x² - 6x - 7 = 0
The following equation can be solved correctly by factoring Thus,
x² - x + 7x - 7 = 0
x(x - 1) +7(x - 1) = 0
(x - 1)(x + 7) = 0
(x - 1) = 0
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Or
(x + 7) = 0
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
Therefore, the solution would be x = 1 or x = -7
Lateena solution is therefore NOT CORRECT because she used a wrong method.
please help me (no links or you are reported)
Answer:
whats the qestion??
Step-by-step explanation:
Write 0.0000000000048 as a multiple of a power of 10.
Answer:
4.8 x 10^-13
hope this helps
have a good day :)
Step-by-step explanation: