Answer:
a) σ = 0,1612
b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
Step-by-step explanation:
NOTE: I assume the unusable length s 11,5 and less
a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:
- 3,1 = ( X - μ₀ ) / σ
- 3,1 = (11,5 - 12 )/ σ
-3,1 = - 0,5 / σ
σ = 0,1612
b) If σ = 0,1612
P [ 11,75 < X < 12,35]
z₁ (score) = ( 11,75 - 12 ) / 0,1612
z₁ = - 0,25/ 0,1612
z₁ = -1,55
From z table P [ 11,75 < X] = 0,0606
z₂ (score) = ( 12,35 - 12) / 0,1612
z₂ = 0,35 / 01612
z₂ = 2,17
From z table P [ X < 12,35] = 0,9850
Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606
P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
How many pounds are in 80 kilograms?
Answer:
176.37 pounds are in 80 kilograms
Step-by-step explanation:
The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.
A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.
The product of which expression contains four decimal places?
Answer:
D.) 14.2*0.784
Step-by-step explanation:when you calculate it, there is 4 numbers behind the decimal point.
Which two options describe the standard deviation?
4The variance square
1The extreme distance from the mean expected from the data points
2The square root of the variance.
3The average distance from the mean expected of the data.
Answer:
2 and 3
Step-by-step explanation:
that's just the definition of stdev
Suppose that E and F are points on the number line. If EF=5 and F lies at -3, where could E be located?
Answer:
There are two possible locations. E could be located in either -8 or 2.
Step-by-step explanation:
The number line is a one-dimensional graphing model for real numbers, in which each element is represented by points. Under this system, there are two directions:
[tex]-x[/tex] - Left semiaxis that corresponds to negative real numbers.
[tex]+x[/tex] - Right semiaxis that corresponds to positive real numbers.
Both semiaxis are divided by origin, which represents the real number zero.
Let E and F points on the number. If we know that [tex]F = -3[/tex] and [tex]EF = 5[/tex], there are two choices for the location of E. That is:
[tex]E_{1} = F+EF[/tex]
[tex]E_{1} = -3+5[/tex]
[tex]E_{1} = 2[/tex]
[tex]E_{2} = F-EF[/tex]
[tex]E_{2} = -3 -5[/tex]
[tex]E_{2} = -8[/tex]
There are two possible locations. E could be located in either -8 or 2.
3s (s - 2) =12s, please help me this. Thank you!
Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl
Fran is making pancakes. The recipe for the pancakes calls for 1/8 teaspoon of salt for every 3/4 cup of flour. Fran makes an amount of pancakes that needs 18 cups of flour. How much salt, in teaspoons, does Fran need to use for the pancakes?
Answer:
3 teaspoon
Step-by-step explanation:
If for every 3/4 cup of flour we will need 1/8 teaspoon of salt, then:
1/8 teaspoon = 3/4 cup of flour
To get the amount of teaspoon needed for 18cups we will say:
x teaspoon = 18 cups
Solving both equalities for x:
1/8 teaspoon = 3/4 cup of flour
x teaspoon = 18 cups
Cross multiply
3/4 * x = 18 * 1/8
3x/4 = 18/8
cross multiply again
3x*8 = 4*18
24x = 72
x = 72/24
x = 3
Hence Fran needs 3 teaspoon of salt fir 18cups of flour
2 ÷ 2/9 idk i need help.
Answer: 9
Step-by-step explanation:
I calculated it
0 = 2x2 – 8x + 11
Solve the equation using quadratic formula.
Answer:
There are two solutions
1.x =(8-√152)/4=2-1/2√ 38 = -1.082
2.x =(8+√152)/4=2+1/2√ 38 = 5.082
Step-by-step explanation:
Millie Moo the cow can produce 14
gallons of milk in 3 days. How many gallons
of milk does Millie produce each day?
Round to the nearest hundredth if
necessary.
PLEASEE HELP ME
Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?
I NEED THIS ASAP I HAVE A TEST DUE 5 MIN AGO AND IF ITS ANY LATER THEN 15 MIN THEN I FAIL 15 POINTS FOR WHOEVER CAN GET ME THE RIGHT ANSWER!!!!!!!!!!!!
Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
Group of answer choices
(−$15) ÷ 12
(−$15) + 12
(−$15) − 12
(−$15) ⋅ 12
Answer:
(-15$) • 12
Step-by-step explanation:
Because your taking away 15$ from each month, and there's 12 month each year.
I explained each answer choice in the comments bellow.
Answer:
The Naswer is the Last one, D
Step-by-step explanation:
An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express sponsored survey that found 355 of 546 business travelers use a laptop computer on overnight business trips
Answer:
a
The null hypothesis is [tex]H_o : p = 0.67[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.67[/tex]
b
The sample proportion is [tex]\^ p = 0.65[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is [tex]k = 355[/tex]
The population proportion is [tex]p = \frac{2}{3} = 0.67[/tex]
Generally
The null hypothesis is [tex]H_o : p = 0.67[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.67[/tex]
Gnerally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k}{n}[/tex]
=> [tex]\^ p = \frac{ 355}{546}[/tex]
=> [tex]\^ p = 0.65[/tex]
One package of blackberries costs $3. How many packages of blackberries can you buy for $15?
Answer:
5 packages
Step-by-step explanation:
One package of blackberries cost $3
Let x represent the number of packages that will cost $15
1 = $3
x= $15
3x= 15
Divide both sides by the coefficient of x which is 3
3x= 15/3
x= 5
Hence 5 packages of blackberries will cost $15
I needs help how do i shave my ba. lls
Answer:
WHAT THE FAWK SRE YOU SAYING AND WRITING
Answer:
truste me dont!
Step-by-step explanation:
Because they are corresponding angles of parellel lines cut by a transversal. 5
This is not a question!!!!!!!!!
please delete this one
A clothing store orders 15 boxes of shirts to restock their shelves. There are 125 shirts in each box. How many shirts does the clothing store order?
Answer:
15x125=1875 shirts
Step-by-step explanation:
What are the coordinates of the x-intercept of the line 2x-5y=10 ?
Answer:
(5, 0) is the x intercept.
Step-by-step explanation:
Given equation of the line is 2x - 5y = 10
For y-intercept of the line we find the value of y by substituting x = 0 in the given equation.
Similarly, for x-intercept we will substitute the value y = 0 and find the value of x.
2x - 5(0) = 10
2x = 10
x = 5
Therefore, y-intercept of the given line is (5, 0).
Show your work
−17x = −204
Select the three choices below that are equal to 4 x 5
Answer:
10+10
10x2
40/2
Step-by-step explanation:
help helpkdiojhwfleavvwedsx
Answer:
its 148 because alternate
Answer: 148.
Step-by-step explanation:
Both angles are perpendicular, whilst being the same length and being a straight line. Therefore, it would be 148.
What is 4.035 written in expanded form
Answer: One of these should help
Step-by-step explanation:
Expanded Notation Form:
4
+ 0.0
+ 0.03
+ 0.005
Expanded Factors Form:
4 × 1
+ 0 × 0.1
+ 3 × 0.01
+ 5 × 0.001
Expanded Exponential Form:
4 × 100
+ 0 × 10-1
+ 3 × 10-2
+ 5 × 10-3
Answer:
4+0.03+0.005
Step-by-step explanation:
how to divide
Please i need help!
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?
3 x + 5 x = 4
3 x + 4 = 5 x
3 x = 4 + 5 x
3 x minus 4 = 5 x
Answer:
3 x + 4 = 5 x
Step-by-step explanation:
just read it the words slowly and write it down as you hear it
what is bigger 2.50 or 2??
Answer:
2.50
Step-by-step explanation:
2.50 is 2 1/2 vs 2 is only 2
Answer: 2.50
Hope This Helps!
If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book
25×1/23=1.08695652174.
25+1.08695652174=26.08695652174
If the growth rate is 75%, which of the
following is the correct growth factor
a. 1.75
b. 75
C. 1.075
d. 1.0075
Answer:
A) 1.75
Step-by-step explanation:
75% = .75
Growth Factor = 1 + Growth Rate (decimal)
Growth Factor = 1 + .75
Growth Factor = 1.75
I hope this helps!
-TheBusinessMan
7th grade math help me plzzz
Answer:
a. -14
b. -150
c. -51
d. -2
e. 3
f. 5
Can anyone find out?
Answer:
D
Step-by-step explanation:
Answer:
i think its 85
Step-by-step explanation:
Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided confidence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places.
Answer:
0.818335 ≤ p ≤ 0.86366
Step-by-step explanation:
Given that:
Sample size (n) = 1000
Positive lung cancer = 841
n(p) = 841, p(p) = 841/1000 = 0.841
n(1 - p) = 1000 - 841 = 159
1 - p = 0.159
95% confidence interval
For a 95% confidence interval : z = 1.96
P ± z√p(1-p) / n
0.841 ± 1.96 * √0.841(0.159) / 1000
0.841 - (1.96 * 0.0115636) = 0.818335344
0.841 + (1.96 * 0.0115636) = 0.863664656
0.818335 ≤ p ≤ 0.86366
At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 2 customers will arrive
Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of less than 2 customers arriving as follows:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067[/tex]
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.