Answer:
10.6 ft
Step-by-step explanation:
to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2
6'4" is also 6 1/3' or 19/3'
8'6" is also 8 1/2' or 17/2'
now square them both
361/9 + 289/4
make them have the same denominator
1444/36 + 2601/36
add them
4045/36
take the square root
10.6000524 is your answer
10.6 ft
A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?
Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
arianna read a total of 24 books in 6 weeks. How many books will she read in 36 weeks at the same rate?
Answer:
216
Step-by-step explanation:
if she reads 24 books in 6 weeks
you do 36x6
which is 216
х 9 17 25 33 -6 -24 -96 -384 Is the relationship linear , exponential , or neither?
Answer:
exponential!!! That is the answer if this is for Khan Academy!!
Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take
Answer:
11.25minutes
Step-by-step explanation:
From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;
576skiers = 1hr
To determine the time it will take 108skier, we can write
108skier = x
Divide both expressions
576/108 = 1/x
576x =108
x = 108/576
x = 0.1875hr
Convert to minute
x = 0.1875×60
x = 11.25minutes
Hence it took the ride 11.25minutes
Solve for z.
-30 = 5(x+1)
If 3 people can complete half of a job in 20 days, how long would it take for 12 people to do the complete job?
Answer:
If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days
mark as brainlist
will be the new 30 is a 50 horizontal percent scale factor decreases and 75% vertical scale factor increases or applied to the rank rectangle above
Answer:
788888
Step-by-step explanation:
What will the area be?
Include the appropriate unit in your answer.
Answer:
Step-by-step explanation:
area of triangle = ½(base)(height)
= ½(25 m)(12 m)
= 150 m²
Six more than the quotient of a number squared and eleven
Answer:
Step-by-step explanation:
[tex]\frac{n^2}{11}+6[/tex]
What is the slope of the following equation of a line? 2x + 3y = 12
Answer:
m = -2/3
Step-by-step explanation:
2x + 3y = 12
-2x. -2x
3y = -2x + 12
÷3. ÷3. ÷3
y = -2/3x + 4
m = -2/3
15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?
Answer:
12kg
Step-by-step explanation:
because 2×2×2+4=12
jskgx
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?
Answer:
25 daysStep-by-step explanation:
11 workers in 75 days
so 33 workers do it in 25 days
MARK ME AS BRAINLISTPLS HELP ME :)) i will mark brainliest!!!
Answer:
51 deg
Step-by-step explanation:
By corresponding parts of congruent polygons, <BAD is congruent to <FEH.
m<BAD = m<FEH = 51 deg
Answer: 51 deg
Answer:
51 degrees
Step-by-step explanation:
The answer is 51 degrees because the two pyramids shown are congruent which means that since we are given the degree measure of angle FEH then we can plug in that measure to find the measure of angle BAD. We can also use what we know about degrees to figure out that because angle CBA is equal to 129 degrees then angle BAD is equal to the difference between the measure of angle CBA and 180 degrees which is 59 degrees.
8th grade math please help
Answer:
167y/3
Step-by-step explanation:
x=24-y
x=100/3-5y/3
P(A and B)
Hint:
Find P (Senior Boy)
P(B)
Classroom of Students
Boys Girls
Freshman 4
4 8
Sophomore 5 7 12
[?]
Junior 2 3 5
Senior 1
4 5
12 18
Please help :(
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Number of boys = 12
Number of girls = 18
Total number of students = 12 + 18 = 30
Probability refers to chances of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of possible outcomes
To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]
P(Senior and Boy) = [tex]\frac{1}{30}[/tex]
P(Boy) = [tex]\frac{12}{30}[/tex]
So,
P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
3. Evaluate and graph
the solution.
3. E
the
"the
5x + 9-3x s 21
+
++
Answer:
x=6
Step-by-step explanation:
5x+9-3x=21
5x-3x=21-9
2x=12
x=6
I NEED THE ANSWER ASAPPP!!! help please
Answer:
Step-by-step explanation:
x^2 + 8^2 = 9^2
x^2 + 64 = 81
x^2 = 17
x = sqrt(17)
answer is D
I can’t understand the graph
Please help will give brainliest.
Answer:
13 petunias
Step-by-step explanation:
13x7=91
9x8=72
add them and you get 163
Divide.
24,350 + 50 =
O A. 478
OB. 487
O C. 527
O D. 587
PLS HURRY IM SUPER CONFUSED
Answer: 487, B.
Step-by-step explanation:
24350 ÷ 50 = 487.
Divide :)
The answer is 487, or B.
which statement best describes the roots of f(x)=x^2-6x+25?
Answer:
permiteme veré en álgebra baldor
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The quadratic equation is given below.
f(x) = x² - 6x + 25
Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.
Then the roots of the equation are given as,
[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]
Simplify the equation further, then we have
x = 3 ± 4i
The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.
More about the roots of the equation link is given below.
https://brainly.com/question/12029673
#SPJ2
2yd 9yd. 8yd. Surface area of rectangular
Answer:
5
Step-by-step explanation:
what is the Multiplicative of -12
multiplicative would be ;
-12 ------> 1/-12
Monte owned stock in Hadley Corporation which paid an annual dividend of $5.15 per share. If the closing price per share was $52.50 in 2011, what was the yield% (to the nearest tenth of a percent)?
7.9%
8.5%
9.8%
10.2%
None of these choices are correct.
Answer: it going to be 10.2% percent
Step-by-step explanation: that how you get your answer as your -
10.2 %
What is the unit rate of the equation below? y = 2x + 8
Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם
Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps
7. A pupil sat for a test in five subjects.
He got a total of 380 marks. How
many marks did he lose if every
subject was marked out of 100?
A. 280 B. 500
C. 120
D 220
Answer:
option C: 120
Step-by-step explanation:
total marks = 5× 100 = 500
marks he obtained = 380
marks he lost = 500 - 380 = 120
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60
Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
To know more about trigonometry check:
https://brainly.com/question/29002217
#SPJ6
4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?
Answer:
= 15/4
Step-by-step explanation:
Jamie has $5.00 and Matt has $6.00. If they put their money together, will they be able to buy a souvenir program?
Here's the Souvenir prices:
Souvenir Program $13.00
T-shirt $17.00
Cap $12.50
Please help!!!!!!!!!!!!