Answer:
The cut-off dollar amount is $328.
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 cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
divide the 240g into the ratio 5:3:4?
5x+ 3x +4x =12x
12x =240
X=20
100:60:80
art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
an employer pays three workers x,y,z a total amount of 6100 a month. x is paid 125% of the amount y is paid; which represent 80% of the amount z is paid. how much does x receive a month
Answer: 2178.57
Step-by-step explanation:
Given
The employer pays 6100 total money a month
Suppose z receives A amount
Amount paid to y is 80% of A i.e.
[tex]\Rightarrow y=0.8A[/tex]
Amount paid to x is 125% of y i.e.
[tex]\Rightarrow x=1.25y=1.25\times 0.8A=A[/tex]
The Sum of their total money must be 6100
[tex]\Rightarrow A+0.8A+A=6100\\\Rightarrow 2.8A=6100\\\Rightarrow A=2178.57[/tex]
Amount receive by x is 2178.57
A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2
Answer:
42 ft 2 is the closest answer I got
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answer:
haach f,f msfmavfb
Step-by-step explanation:
A system has two components: A and B. The operating times until failure of the two components are independent and exponentially distributed random variables with parameter 2 for component A, and parameter 3 for component B. The system fails at the first component failure.
(a) - Read section 1.5.2 in the textbook.
(b) - What is the mean time to failure for component A and for component B
Answer:
[tex]E(x) = \frac{1}{2}[/tex] -- Component A
[tex]E(x) = \frac{1}{3}[/tex] -- Component B
Step-by-step explanation:
Given
Distribution = Exponential
[tex]\lambda = 2[/tex] --- Component A
[tex]\lambda = 3[/tex] --- Component B
Solving (a): The mean time of A
The mean of an exponential distribution is:
[tex]E(x) = \frac{1}{\lambda}[/tex]
We have:
[tex]\lambda = 2[/tex] --- Component A
[tex]E(x) = \frac{1}{2}[/tex]
Solving (b): The mean time of B
The mean of an exponential distribution is:
[tex]E(x) = \frac{1}{\lambda}[/tex]
We have:
[tex]\lambda = 3[/tex] --- Component B
[tex]E(x) = \frac{1}{3}[/tex]
The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) factor
B) simplifi
C) complete the square
D) take the square root of both sides
Answer:
A) Factor
Step-by-step explanation:
The correct choice for the missing reason is,
⇒ Factor
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The steps for deriving the Quadratic Formula are shown.
Now, From fifth step;
⇒ x² + bx/a + b²/4a² + ----- - c/a + b² / 4a²
Hence, By factor we get;
⇒ (x + b/2a) (x + b/2a) + ------ - c/a + b² / 4a²
So, The correct choice for the missing reason is,
⇒ Factor
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ2
Simplify the numeric expression below. Show all
work.
8-12-(6 + 4)
Answer:
negative 14 or -14
Step-by-step explanation:
8-12-10
= 8-22
= -14
HELP ASAP WILL BRAINLYIST
Which angles are alternate interior angles?
Angle3 and angle5
Angle1 and angle7
Angle3 and angle7
Angle 4 and angle5
Answer:
Angle 3 and Angle 5 are the alternate interior angles.
A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 329 miles her hour.
Select all the statements that are true
Answer:
Options 2, 4 and 6 are True.
Step-by-step explanation:
Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).
Rule to be followed to dilate the vertices of the given triangle,
(x, y) → (kx, ky)
Here, k = scale factor
By this rule vertices of the new triangle M'N'O' will be,
M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]
N(-4, -4) → N'(-6, -6)
O(6, -2) → O'(9, -3)
Option 1
M'N' is shorter than MN
Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]
= 10.77
Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]
= 13.42
Therefore M'N' > MN
Therefore, Option A is False.
Option 2
ON is shorter than O'N'
True.
Option 3
OM is longer than O'M'
False
Option 4
ON is parallel to O'N'
Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.
True.
Option 5
OM is parallel than O'M'
Since, O'M' is the dilated form of OM,
Therefore, all the points (O, M and M') will be in a straight line.
False
Option 6
M'N' coincide with MN
True.
Therefore, Options 2, 4 and 6 are True.
After traveling 70 m in its dive, the submarine is at a depth of 25 m. What will the submarine’s depth be if it continues its dive for another 110 m? (NOTE: The total length of the dive is MORE than 110m!)
Answer:
Total Depth: 64.28m
Step-by-step explanation:
Assuming that the submarine is travelling at a constant rate, then we can use the information provided and apply a Rule of Three since it is basically a ratio problem. In this rule, you simply need to multiply the diagonal values of the ratio and divide by the last value to get the variable, which would be the depth after 110m
70min <=======> 25 m
110min <=======> x m
(110 * 25) / 70 = x
2750 / 70 = x
39.28 = x
We can see that at 110min the depth would be 39.28 m but since this is an additional period of time that the submarine travelled we need to add this distance to the initial 25 m to get the total depth of the submarine.
39.28m + 25m = 64.28m
Find the volume of the cylinder.
1607.7 in 3
2845.7 in 3
6430.7 in 3
401.9 in 3
Answer:
[tex]\Huge\boxed{1607.7in^3}[/tex]
Step-by-step explanation:
Hello There
The volume of a cylinder can be found using this formula
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
The cylinder shown has a radius of 8 inches and a height of 8 inches
Knowing this information we plug it in into the formula
[tex]V=\pi 8^28\\8^2=64\\64*8=512\\512\pi=1607.68[/tex]
Finally we round to the nearest tenth and get that the volume of the cylinder is 1607.7 in ^3
A manufacturer of cream filled donuts collected data from its automatic filling process. The amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t to construct a 90% confidence interval for the true mean amount of cream filling is _______.
Answer:
The appropriate solution is "1.7109". A further explanation is provided below.
Step-by-step explanation:
The given values are:
Sample size,
n = 25
Degree of freedom,
[tex]df=n-1[/tex]
[tex]=25-1[/tex]
[tex]=24[/tex]
At 90% confidence level,
[tex]\alpha=1-90 \ percent[/tex]
[tex]=1-0.9[/tex]
[tex]=0.1[/tex]
and,
[tex]\frac{\alpha}{2}=\frac{0.1}{2}[/tex]
[tex]=0.05[/tex]
Now,
The correct values of t will be:
= [tex]t_{\frac{\alpha}{2}, df }[/tex]
= [tex]t_{0.05,24}[/tex]
= [tex]1.7109[/tex]
What is the distance between the points (7, 8) and (-8. 0) on a coordinate grid?
Answer:
The distance between (7,8) and (-8,0) is: 17Step-by-step explanation:
Hope this helps :)
Answer:
d= 17
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d= [tex]\sqrt{(-8-7)^{2}+(0-8)^{2} }[/tex]
d= [tex]\sqrt{289}[/tex]
d= 17
if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!
h
a) Use your calculator to work out 18^2 - 7.9
46 - 1.8^3
Write down all the figures on your calculator display.
Answer:
I suggest PHOTO MATH app for that question download mo po:)
Answer:
a) 49.87517031
b) 49.88
Step-by-step explanation:
Use a calculator
Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?
Answer:
(a) 8 bottles(b) 0,4 LitresStep-by-step explanation:
There are
24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre____________________
#IndonesianPride - kexcvi
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
i got used for points like 4- times already 5 time is a charm someone would help ?
Answer:
B
Step-by-step explanation:
Because i said it is
Answer:
The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F
The answer for B is "F and C are 5 units away from the x-axis
The answer for C is "The distance between F and C is 10 units"
Step-by-step explanation:
Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m
Answer:
6.1
Step-by-step explanation:
area =leanth x breath.
if one side=4.7,
then, missing length=area/given side
= 28.67/4.7
=6.1
A person places $51200 in an investment account earning an annual rate of 5.4%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
Usually I dont need help with questions but this one really has me stuck:
Jan wants to buy a book that is regularly $34.99. Find the cost when it is on sale at 10% off.
Answer:
$31.491
Step-by-step explanation:
Price of the book=$34.99
Sale given=10%
Price of the book after sale=34.99-{(10/100)*34.99}
=34.99-3.499
=34.990-3.499
=$31.491
Please help if not I with find you
Answer:
7,7,15
Step-by-step explanation:
Because the summation of two sides should be greater than the other one
Which equation describes the line of best fit for the scatter plot?
A.) y=2.7x B.) y=2.7x-4 C.) y=0.37x D.) y=0.37x-4
Pls help me with this problem
Answer:
what is your problem?
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME!!
Answer:
2,2 2,7 5,7
Step-by-step explanation:
Which values are solutions to × < 10? A. × = 1 and × = 9 B. × = 18 and x = - 11 C. × = 9 and × = 15 D. × = 15 and × = 18
Answer:
A
Step-by-step explanation:
you need find the smaller numbers of 10 which would be in answer A. all the other answers are bigger than 10
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation: