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
Julie has $80 to spend on clothes. If she buys a pair of jeans for $24.75, how many shirts can she buy for $12.50?
Answer:
4
Step-by-step explanation:
$80.00 - $24.75 = $55.25
$55.25 ÷ $12.50 = 4 Shirts!
distance formula is?
Answer:
what formula sorry cant help
Step-by-step explanation:
Answer:
[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]
Step-by-step explanation:
This is what it is lol
Please help I’m begging someone p,ease help I can’t do this anymore help
Answer:
-5.99
-3
-6
-5.9
-1
-5.999
-5
2
Step-by-step explanation:
All these numbers are greater (or equal to) -6 because they are closer to 0
what is the Multiplicative of -12
multiplicative would be ;
-12 ------> 1/-12
NEED AN ANSWER FAST
What is the equation for the line of reflection?
A.x=6
B.y=6
C.y=x
D.y=2
Answer:
B:y6 yan ang. answer wag puro brainy
Calculate the monthly share of annual expenses and find the total monthly expenses.
Annual Expenses: $3,494.04
Living: $475.75
Fixed: $679.65
Monthly share of Annual:
Total Monthly Expenses:
Answer:
918,14
Step-by-step explanation:
3,494.04
679.65
= 918,14
find the missing angles for #4
1= 88°
2= 42°
3= 113°
hope that helps^^
Six more than the quotient of a number squared and eleven
Answer:
Step-by-step explanation:
[tex]\frac{n^2}{11}+6[/tex]
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
Solve for z.
-30 = 5(x+1)
PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c
simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss
Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
Solve the inequality 5 - 4x > -x+8
The answer is,
[tex]x < - 1[/tex]
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:
Can you guys please help!
Answer:
5 for the first and 4x for the second one also plz give heart
Step-by-step explanation:
i just know
4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?
Answer:
= 15/4
Step-by-step explanation:
please help it’s urgent!!
Answer:
Perimeter= a1+a2+a3
P= 20+ 15+ 25= 60 units
Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?
Answer:
5 Miles
Step-by-step explanation:
First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.
Answer: How many miles can he run in one hour?
six miles
But for a normal person it's one mile per 10 minutes or about six miles per hour.
Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.
Answer:
Step-by-step explanation:
700+400+8000
9100
Answer: 9,100
Step-by-step explanation:
[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]
Solve the exponential equation for x.
Answer:
c. x=-2
Step-by-step explanation:
256=(1/4)^(3x+2)
㏒(1/4) (256)=3x+2
-4=3x+2
3x=-6
x=-2
9= 3 3_4- 2 7_8- b
B?
Answer:
Step-by-step explanation:
9 - 3¾ - 2⅞ = 3⅜
He gave his grandmother 3⅜ pounds of apples.
write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY
Answer:
The answer is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x - 5 = y
6 - 5 = 1
Hope that helps!
What is the percent of increase from 25 to 26?
Answer:
4 percent
Step-by-step explanation:
because the new value is greater than the old value
The Answer is 4 percent
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
(–8x + 7y) + 9y + (–8x)
I can’t understand the graph
A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was worn?
Answer:
15%
Step-by-step explanation:
I need help answering this please
Answer:
DF = 20.4
Step-by-step explanation:
The figure given is a kite.
A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,
∆DEH is congruent to ∆FEH, therefore, DH = HF
Use pythagorean theorem to find DH:
DH² = DE² - EH²
DH² = 15² - 11²
DH² = 104
DH = √104
DH = 10.2 (nearest tenth)
DF = 2(DH)
DF = 2(10.2)
DF = 20.4
solve help
3+ x + 4 =
Answer:
7+x
Step-by-step explanation:
Add 3 and 4
3+4= 7
You can't add x since it's a variable so you just leave it as it is.
Hope this helps!
Find the value of the variable. A
610
790
Answer: Allie made a 240- mile trip in just 4 hours.
Step-by-step explanation: