Answer:
0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour
Step-by-step explanation:
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 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 recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.
This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]
a. Between $20.50 and $24.00 per hour
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So
X = 24
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 20.5}{3.5}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 20.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour
plz give work below
Answer:
m < -6 or m > 8
Step-by-step explanation:
m - 2 < -8
Add 2 to both sides of the inequality.
m < -8 + 2
m < -6
m/8 > 1
Multiply both sides of the equation by 8
m/8 ⋅ 8 > 1 ⋅ 8
Simplify.
m > 8
good luck, i hope this helps :)
Expand and simplify the following:
6x - 3(2x-1)
Answer:
3
Step-by-step explanation:
=6x-3(2x-1)
=6x-6x+3
=3 Answer
Please help me will give brainlyest.
Answer:
x=24
Step-by-step explanation:
I think that its just a degree sign tbh
but because pc is a radius and so is pd their opposite angles are equal to each other.
so angle d and angle c are congruent
then because a triangles angles add up to equal 180 we do
180=x+54+x+54+x and solve for x
step 1 combine like terms x+x+x=3x 54+54=108
180=3x+108
step 2 subtract each side by 108
3x=72
step 3 divide each side by 3
x=24
hope this helps (:
Answer:
x = 36
Step-by-step explanation:
BD is a diameter.
<BCD is an inscribed angle whose sides intersect the endpoints of a diameter. Therefore m<BCD = 90.
m<BCD = x + 54 = 90
x + 54 = 90
x = 36
The trip from Manhattan to Montauk Point is 120 miles by train or by car. A train makes the trip in 2 hours, while a car makes the trip in 2.5 hours. How much faster in miles per hour, is the average speed of the train than the average speed of the car?
Answer:
30mph faster
Step-by-step explanation:
first you must find how fast the train can go in 1 hour
that is 60mph, then multiply 60 and 2.5
60x2.5 = 150mph then,
150 - 120 =30mph
very sorry if this is wrong
The average speed of the train is 1.25 times the average speed of the car.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
The excursion from Manhattan to Montauk Point is 120 miles via train or via vehicle. A train makes the outing in 2 hours, while a vehicle makes the excursion in 2.5 hours.
The average speed of the train is given as,
⇒ 120 / 2
⇒ 60 miles per hour
The average speed of the car is given as,
⇒ 120 / 2.5
⇒ 48 miles per hour
The ratio of the average speed of the train to the car will be given as,
⇒ 60/48
⇒ 1.25
The average speed of the train is 1.25 times the average speed of the car.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5
Find the product of largest 4 digit number and
smallest 3 digit number.
Answer:
Largest 4-digit number is 9999 and smallest 3-digit number is 100 and product is 10000.
Step-by-step explanation:
hope it's helpful to you
8th grade math solution problem. Please help
If IM is reflected across the x-axis and then translated along the vector <4, 1>, in
which quadrant is the final image?
Answer:
Final image L"M" will lie in the fourth quadrant.
Step-by-step explanation:
Coordinates of the ends of segment LM,
L → (-3, 4)
M → (-3, 2)
Rule to reflect a point across x-axis is,
(x, y) → (x, -y)
By this rule, coordinates of the image point of L and M will be,
L(-3, 4) → L'(-3, -4)
M(-3, 2) → M'(-3, -2)
Further these image points are translated along the vector <4, 1>
Rule for this translation will be,
(x, y) → (x + 4, y + 1)
Now the image points of the points L' and M' will be,
L'(-3, -4) → L"(-3 + 4, -4 + 1)
→ L"(1, -3)
M'(-3, -2) → M"(-3 + 4, -2 + 1)
→ M"(1, -1)
Therefore, final image L"M" will lie in the fourth quadrant.
-30 < x/-4. Solve for x
Answer:
-30 < x/-4
Above equation multiply by minus sign(-) so that sign of inequality is change from < to >
Above equation becomes
30 > x/4
30*4 > x
120 > x
Hence x is less than 120
the square root of the sum of twice a number and 3 is 6. find the number
Answer in fraction form = 33/2
Answer in decimal form = 16.5
===========================================================
Work Shown:
n = some number
2n = twice that number
2n+3 = "sum of twice a number and 3"
[tex]\sqrt{2n+3}[/tex] = square root of the previous expression
The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]
We'll follow PEMDAS in reverse, undoing each operation, to isolate n
[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]
Answer:
[tex]\frac{33}{2}[/tex]
Step-by-step explanation:
In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:
Let x be the number:
[tex]\sqrt{2x+3 = 6 }[/tex]
In order to solve the problem:
[tex]\sqrt{2x+3}^2=6^2[/tex]
By squaring both sides to remove the exponent:
[tex]{2x + 3 = 36}[/tex]
Simplify:
[tex]{2x+3-3=36-3}[/tex]
Subtract 3 from both sides:
[tex]{2x = 33 }[/tex]
Then Simplifying further:
[tex]\frac{2x}{2} = \frac{33}{2}[/tex]
Divide both sides by 2 to remove 2 from the x.
[tex]{x = \frac{33}{2} }[/tex]
Thus, meaning the answer is [tex]\frac{33}{2}[/tex]
Hope this helps you.
Multiply the sum 5 and 3 and the sum of 8 and 9
Answer:
136
Step-by-step explanation:
Sum of 5 and 3: 8
Sum of 8 and 9: 17
17 * 8 is 136
Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.
Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?
Answer:
zhdhsgscsisgege8djdhshsyw7273yeh3737eyd
What is the value of x? 2x + 4 = 14
Answer:
5
Step-by-step explanation:
2x + 4 = 14 ( - 4 )
2x + 10 ( /2)
x= 5
what are the powers of 3 through 1000? AND DONT JUST SAY A FEW I NEED ALL OF THEM
Answer:
1, 3, 9, 27, 81, 243, 729
Step-by-step explanation:
The powers of 3 are:
[tex]3^0 = 1[/tex]
[tex]3^1 = 3[/tex]
[tex]3^2 = 9[/tex]
[tex]3^3 = 27[/tex]
[tex]3^4 = 81[/tex]
[tex]3^5 = 243[/tex]
[tex]3^6 = 729[/tex]
[tex]3^7 = 2187[/tex]
And so on...
So through 1000: 1, 3, 9, 27, 81, 243, 729
Solve for x: 1/2x + 3 = 9
Answer:
12
Step-by-step explanation:
if 7y + 42 <14 then which among the following is true
Answer:
[tex]y<-4[/tex]
Step-by-step explanation:
Given
[tex]7y + 42 <14[/tex]
Required
Determine the true statement
Options are not given; but, the question can still be attempted.
[tex]7y + 42 <14[/tex]
Collect Like Terms
[tex]7y < 14 -42[/tex]
[tex]7y < -28[/tex]
Divide through by 7
[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]
[tex]y<-4[/tex] -- This is true
a veriable is definded as
Answer:
Its Basically A Type of pattern In an Equation that you solve.
for example, X=Y. It's Configured as a pattern.
Step-by-step explanation:
Answer:
A variable is a unknown number or a unknown value.
Commonly used variables are x and y.
Have a nice day!
Hope this helps!
5
An athlete covers three consecutive miles by walking the first mile, running the second mile
and cycling the third. He runs twice as fast as he walks, and he cycles one and a half times as
ast as he runs. He takes ten minutes longer than he would do if he cycled the three miles,
How long does he take by walking, running and cycling?
ter your math answer
Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
Find the 3rd quartile of the date set:
72, 74, 76, 78, 82, 84, 87, 90, 91, 93, 99, 99, 100
Answer:
Answer:
101 102 108 156 1784 1267
The third quartile of the data set is 96.
Hope this helped! :)
A school paid 31.50 for each calculator
If the school bought x calculators, how much did
they pay? Write an expression.
ANSWER THEM PLEASEE I HAVE 20 MINSS
The range of this function is {2, 4, 5, 6}
2
4
5
6
8
13
O True
O False
Answer:
True l True-----------------^~^
A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for the week
The man's gross pay for the week was $
(Round to the nearest cent as needed)
Answer:
525267262525226
Step-by-step explanation:
594944+757548484-848484%
La escalera de un carro de bomberos
puede extenderse hasta una longitud
máxima de 30 m cuando se levanta a un
ángulo máximo de 70°; la base de la
escalera se coloca en el camión a 2 m,
sobre el suelo.
¿Qué altura podrá alcanzar la escalera?
Answer:
sorry I cant understand--
Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2
miles. Show that at least twice he had to be running at a rate of 11 miles per hour.
Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.
Calculus AB AP
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Time taken = 2 hours 18 minutes
18 / 60 = 0.3 hours
Hence, time taken = 2.3 hours
Speed = distance / time
Speed = 26.2 / 11.3 = 11.39 mi/hr
Hence, according to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39
Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between :
(0, 2.3) and (t, 2.3)
Mr. O. ran the Disney Marathon the AB AP is (0, 2.3) and (t, 2.3).
Given Data: Time taken = 2 hours 18 minutesTime taken =18 / 60
Time taken = 0.3 hours
Hence,
time taken = 2.3 hours
Speed = distance / timeSpeed = 26.2 / 11.3
Speed = 11.39 mi/hr
According to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39 Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between : (0, 2.3) and (t, 2.3)
Thus, the AB and AP is (0, 2.3) and (t, 2.3)
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If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?
Answer:
Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
Step-by-step explanation:
Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:
3/4 = 0.75 + 25 = 25.75
125 x 25.75 / 100 = X
3218.75 / 100 = X
32.1875 = X
Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.
In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.
Answer: 16
Step-by-step explanation:
sin M/6.3=sin 21/8.2
6.3 sin 21/8.2=0.27533147
sin^-1(0.27533147)=15.981=16
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2
Answer:
A. -⁹/2
Step-by-step explanation:
Using any two pairs of values form the table, say (-12, 60) and (-6, 33),
Rate of change = ∆y/∆x
= (33 - 60) / (-6 -(-12))
= -27/6
= -9/2
Rate of change = -⁹/2
The rate of change of y with respect to x is -9/2
Option A is correct
For a linear relationship, the rate of change of y with respect to x is given by the formula:
[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
From the table:
[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]
Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]
Reduce the expression to the lowest term by dividing the numerator and denominator by 4
[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]
The rate of change of y with respect to x is -9/2
Learn more on rate of change here: https://brainly.com/question/8728504
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
[tex]C = 0.45n[/tex]
Step-by-step explanation:
Given
[tex]5\ peppers = \$2.25[/tex]
Required
Determine the relationship between C and n
[tex]5\ peppers = \$2.25[/tex]
Divide both sides by 5, to get the cost of 1 pepper
[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \frac{\$2.25}{5}[/tex]
[tex]1\ pepper = \$0.45[/tex]
Multiply both sides by n to get the cost of n pepper
[tex]n*1\ pepper = \$0.45*n[/tex]
[tex]n\ pepper = \$0.45n[/tex]
So, we have:
[tex]C = 0.45n[/tex]
6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
Answer: 380952381 / 1000000000
Step-by-step explanation:
:)P.s. This simplifies to 8/21 .
Answer:
8/21
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 45 miles to km.
Answer:
to get from 5 miles to 45 miles you multiply by 9 right so just times 8km by 9 which is 72 to get 45 miles into km.
Step-by-step explanation:
Answer:
72 km
Step-by-step explanation:
5m = 8km
÷5. ÷5
1m = 1.6km
×45. ×45
45m = 72km