Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: [tex]P(x<5.53)+P(x>5.81)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{5.33-5.67}{0.07})+P(\dfrac{x-\mu}{\sigma}>\dfrac{5.81-5.67}{0.07})\\\\=P(z<-4.857)+P(z>2)\approx0.02275 \ \ \ [By\ P-value\ calculator][/tex]
The percentage of legal quarters will be rejected by the vending machine = 2.275%
comparing box plots
i will give brainliest
Answer:
what graded are you in
Step-by-step explanation:
Which is less expensive, riding every ride once or buying the one day pass?
GREAT MOUNTAIN PARK
$20.25
One Day Pass
Mountain Coaster
Tilt a Loop
Water Slide
Fast Drop
Swing a Ling
Merry Go Round
$4.50
$4.75
$4.00
$3.50
$2.75
$2.50
Answer:
The one day pass is less expensive.
Step-by-step explanation:
Add all of the rides (just use a calculator) and its 22 which is more than the pass.
Mark the relations that ARE functions
{(2,5) (-3, 4) (0,1)}
{(1,1) (2,1) (0, 1) (-8, 1)}
{(3, -2) (9, 1) (3, 5) (9, 3)}
{( 2,5) (0, 3) (-1, 1) (7, 13)}
Answer:
first
second
fourth
Step-by-step explanation:
one domain must only one range
A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
PLZ HELP WILL MARK BRAINLEST
A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )
Answer:
5ft
Step-by-step explanation:
r = √v/πh
plug in known values
r= √628/ (3.14) 8
simplify
r= √628/ 25.12
r= √25
r = 5ft
Find the area. Simplify your answer.
Answer:
Area = 6x - 6
Step-by-step explanation:
Given:
Height = 2x - 2
Base = 6
Required:
Area
Solution:
Area of triangle = ½*b*h
Area of the triangle = ½*6*(2x - 2)
Area = 3(2x - 2)
Apply distributive property
Area = 6x - 6
Exercise 4
3
2.5% = 50
2 * = 0,125
Solve the following equations:
1 3* = 81
2
5Y - 15 = 0
5
5x + 1 = 1
16* = 8
9.
1
9
4
8.
101 - x = 0,01
2(5)* = 54
(3)
5Y - 0,2 = 0
12
7 (-3)* = 1
11
5-2 = 25
10
107
Unit 3: Calculations with exponents
Answer:
Is there some sort of sheet or pdf you can include on the question?
Step-by-step explanation:
What is the area???
Answer:
0.833333333 or 83/100 mi squared
Step-by-step explanation:
a = b x h / 2
Answer:
0.333
Step-by-step explanation:
What type of triangle is shown in the figure?
A
Equilateral
À
-y + 23
Obtuse
Right
B
C
Scalene
бу +2
Answer:
A equilateral
Step-by-step explanation:
hey, its equilateral because all sides of the triangle are the same length
A family buys 4 airline tickets online. The family buys travel insurance that costs $16 per ticket. The
total cost is $680. Let x represent the price of one ticket. Write an equation for the total cost. Then find
the price of one ticket.
Which equation represents this situation?
O A. 680 = 4(x + 16)
OB. 680 = 4x + 16
OC. 16 = 4x + 680
OD. 680 = 16(x + 4)
The price of one ticket is $1.
!NEEDED ASAP!
Answer:
B
x is representing the price of one ticket in which the tickets bought was four.so therefore (x+x+x+x+16)=680
4x + 16 =680
The measure of arc AB is °.
The measure of angle AOB is °.
The measure of angle BDA is °.
Answer:
50,50,25
Step-by-step explanation:
Answer:
50,50.25
Step-by-step explanation:
Which is equivalent to 99.5(50)?
Answer:
49.75 i think
Step-by-step explanation:
A bus left Suva at 7.30am and arrived in Tavua at 11.00am. It covered a
distance of 350km. Fin the speed of the bus.
Answer:
100 km/hr
Step-by-step explanation:
11:00 a.m. less 7:30 a.m. works out to 3:30 hours (3 hours 30 minutes).
Then the speed of the bus was
350 km
--------------- = 100 km/hr, or about 62.5 mph
3.5 hrs
Answer:
100 km/hr
Step-by-step explanation:
Givens
T = 11:00 - 7:30
T = 3 hours 30 minutes
T = 3 1/2 hours
t = 3.5 hours
d = 350 km
Formula
d = v * t
Solution
350 km = v * 3.5 Divide by 3.5
350 km / 3.5 hours = v
350 / 3.5 = v
v = 100 km/hour
this as well, pleasee!!!
The inner circle circumference is 18 and the outer is 4
Answer:
the big one has a circumstance of 2*pi*9=56.52
the small one 2*pi*7=43.96
difference = 12.56= 4pi
calcular el perímetro de una cancha cuyos lados mide 15×20
Answer: el perímetro es 300
Step-by-step explanation:
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] R = \frac {3ST}{2S + T} [/tex]
Step-by-step explanation:
Given the equation;
[tex] \frac {3}{R} - \frac {1}{S} = \frac {2}{T} [/tex]
Rearranging the equation, we have;
[tex] \frac {3}{R} = \frac {2}{T} + \frac {1}{S} [/tex]
Lowest common multiple (LCM) of S and T is ST.
[tex] \frac {3}{R} = \frac {2S + T}{ST} [/tex]
Cross-multiplying, we have;
[tex] 3ST = R(2S + T) [/tex]
Making R, the subject of formula;
[tex] R = \frac {3ST}{2S + T} [/tex]
int) A group of 10 hunters wait for ducks to fly by. When a flock of ducks flies overhead, the hunters all fire at the same time, each selecting a target at random and independently of the others. If each hunter independently hits his target with probability 0.4, and if all misses do not hit other ducks, what is the expected number of ducks that will be hit
Answer:
The expected number of ducks that will be hit is 4.
Step-by-step explanation:
For each hunter, there are only two possible outcomes. Either they hit a duck, or they do not. The probability of a hunter hitting a ducks is independent of any other hunter. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
A group of 10 hunters wait for ducks to fly by.
This means that [tex]n = 10[/tex]
Each hunter independently hits his target with probability 0.4
This means that [tex]p = 0.4[/tex]
What is the expected number of ducks that will be hit?
[tex]E(X) = np = 10*0.4 = 4[/tex]
The expected number of ducks that will be hit is 4.
Ms. McClain conducted an experiment
with a 6-sided number cube. The table
shows the number of times each number
landed:
(I'll give brainlist)
Answer: 1
Step-by-step explanation:
Experimental probability is the actual result you get from an experement.
Theoretical probability is the change that you will get that result.
(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)
therefore,
1/6 is the Theoretical probability because you are using a six-sided number cube.
for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.
1/6 equals 8/48.
therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.
6 is not one of the answer choices listed so 1 must be your answer.
Which of the following statements is (are) correct?
I. At 6% interest, the present value of $400 for the first year, $600 for the second year, and $800 for the third year is $1,603.
II. The future value of the following mixed cash flow stream (if it is from an annuity due at 6% interest) $400 for the first year, $600 for the second year, and $800 for the third year is $1,999 (rounded).
Answer:
None OF THE STATEMENTS ARE CORRECT
Step-by-step explanation:
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 = $400
Cash flow in year 2 = $600
Cash flow in year 3 = $800
I = 6%
PV = 1,583.05
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
1583.05 x (1.06)^3 = $1885.44
None of the statements are correct based on the above calculations
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
if cathy myra and eva all take 2.0 h to walk from their house to their school at a rate of 1.0 m/s how far is their school from the house
PLEASE I NEED HELP FAST ITS THE LAST QUESTION AND I DONT KNOW HOW TO SOLVE IT
A storage unit in the shape of a rectangular prism is 9 feet tall and 4 1/4 feet wide. the length of the storage until is twice the width. which measurement is closest to the volume of the storage until in cubic feet?
Answer:
9 x 4 1/4 x 8 1/2 = 325 1/8 cubic feet.
4 1/4 x 2 = 8 1/2
A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in
Answer:
I think that it is A. 19
Step-by-step explanation:
I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.
P=66
L=19
W=14
Sorry if I'm wrong.
This lesson asked you to investigate what it means for data to fall within 1, 2, and 3 standard deviations from the mean in a variety of normal distribution curves. Imagine that you hold a position on your city council and are in charge of creating new programs to benefit members of your community. In some cases, you must also decide which parts of the population are eligible for enrollment in a given program. How might the concept of standard deviations from the mean be interpreted in your decisions? For example, is it fair to make most programs only available to populations within 1 standard deviation from the mean? Can you imagine cases where you might want to create new programs for people who fall toward the extreme ends of the distribution? Give your opinion as well as some examples.
Answer:
The data in statistics is generally supposed to deviate or vary from the mean. Standard deviations of 1, 2, and 3 are commonly used to calculate variability according to the empirical norm. In a normal distribution, we estimate 68 percent, 95 percent, and 98 percent of the data to be within 1, 2, and 3 standard deviations of the mean, respectively. This implies that the given percentage of data will lie within an interval of less than or greater than the standard deviation. If the values within a given standard deviation from the mean are standardized, the z value will always be equal to or less than the given standard deviation.
We should look at a program that aims to help people get out of poverty by using the standard deviation principle. The aim of the program is to provide free seeds to poor people who have been suffering from low yields due to the use of local seeds. If we use the definition of one standard deviation of the mean, or 2 and 3, we will favor the majority of people, but we will leave the poorest people in society behind.
Help! I NEED THIS DONE BY 8:50
Answer:
x = 28
Step-by-step explanation:
Properties of a triangle:
Triangles have 3 sidesThe sum of a triangle's interior angles will always be equal to 180°.Because we need the value of the triangle's interior angle, use the following formula to solve for x:
180 - x - y = zSince x and y are given, solve for z.180 - 129 - 23 = z28 = zz is the missing value, so for your problem, z is x.x = 28One equation in a system isy = 2x - 4. Which equation gives the system no solution?
y = 2x - 4
y = -2x + 4
y = 2x + 9
y = 14x - 4
Answer:
number 3 will be right
Step-by-step explanation:
The correct statement is : y=2x+9
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The linear equation is y=2x-4
Now the equation y=2x+9
equating both linear equations are
2x-4=2x+9
-4=9 which is not possible
Thus the incorrect equation that gives no solution is y=2x+9
Learn more about linear equations here:
https://brainly.com/question/29739212
#SPJ6
George boughr 30 packs of football cards there were 14 cards in each pack how many cards did George buy?
Answer:
420
Step-by-step explanation:
funny real funny
Fill in the missing numbers in these equations
a.- 2⋅(- 4.5) = ?
b.(- 8.7)⋅(- 10) = ?
c.(- 7)⋅? = 14
d.?⋅(- 10) = 90
Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?
Answer:
$897
Step-by-step explanation:
12/100x7475/1=897
A trap for insects is in the shape of a triangular prism. The area of the base is 45 in and the height of the
prism is 7 in. What is the volume of this trap?
Help ASAP
Answer:
The volume is 315
______________
between which two numbers would you place √40 on a number line
Answer:
between 6 and 7
Step-by-step explanation:
The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.