Answers
First we find the sum of the customers with hot drinks:
22+5+48=75
The probability of the drink being large given that it’s a hot drink is:
Large hot drinks/sum of hot drinks= 22/75= 0.293333...≈ 29%.
Answer:
29%
Step-by-step explanation:
5+48+22=75
22/75=0.2933
nearest % is 29%
Related Questions
if x=1−sin a and y= 1+cos a, Express y in terms of x and a only
Answers
Answer:
Step-by-step explanation:
Given
[tex]x=1-sin(a)\\y=1+cos(a)[/tex]
Solve for [tex]a[/tex] in the second equation.
[tex]y=1+cos(a)[/tex]
[tex]y-1=cos(a)[/tex]
[tex]a=cos^{-1}( y-1)[/tex]
Insert our answer for [tex]a[/tex] into the first equation.
[tex]x=1-sin(a)[/tex]
[tex]x=1-sin(cos^{-1}( y-1))[/tex]
[tex]cos^{-1}=arccos[/tex]
[tex]x=1-sin(arccos( y-1))[/tex]
Lets simplify [tex]1-sin(arccos( y-1))[/tex]
A piece of graph paper would be helpful in my opinion.
Here is how I would go about doing so
Draw a triangle in the plane with vertices [tex](y-1,\sqrt{1^2-(y-1)^2}),(y-1,0)[/tex] and the origin.
[tex]arccos(y-1)[/tex] is is the angle between the positive x-axis and the ray beginning at the origin and passing through [tex](y-1,\sqrt{1^2-(y-1)^2})[/tex]. Therefore [tex]sin(arccos(y-1))[/tex] is [tex]\sqrt{1-(y-1)^2}[/tex]
Now we have
[tex]x-1-\sqrt{1-(y-1)^2}\\a=arccos(y-1)[/tex]
We can write [tex]1[/tex] as [tex]1^2[/tex]. Since both terms are now perfect squares, we can factor using the difference of squares formula.
[tex]a^2-b^2=(a+b)(a-b)[/tex] where [tex]a=1[/tex] and [tex]b=y-1[/tex]
[tex]x=1-\sqrt{(1+y-1)(1-(y-1))}[/tex]
After simplifying we get
[tex]x=-\sqrt{y(-y+2)}+1[/tex]
[tex]x=-\sqrt{y(-y+2)}+1[/tex]
[tex]a=arccos(y-1)[/tex]
I think this is what your question was. If not let me know.
Erik deposited $3,000 into a savings account that earns 5% simple Interest.
He also deposited $3,000 into a savings account that earns 5% compound interest.
How much is the difference between the account balances after 3 years?
Answers
Answer:
3450 because 5 percent of 3000 Is 150
Answer:
Hey, the answer is 15.375
Step-by-step explanation:
UsiNg PRT/100, the simple interest of the sum of 3000 naira invested for 3yrs at 5% per annum is 450.
Meanwhile, the first year of the compound interest, the interest generated was 150
second year 157.5
and lastly, third year 157.875
Total interest = 465.375
465.375 - 450 = 15.375
Which statements are true? Select three options.
and are parallel.
Answers
Answer: line AB and RS are parallel because their lines do not interact anywhere on the model, because it is 3D. this is the only one i am sure of, you may have to ask another person to get the other two.
Answer:
A. Line AB and Line CG are parallel, C. Line CG and Line RS are perpendicular, and E. Line CG lies in plane X
Step-by-step explanation:
A. Line AB and Line CG are parallel is true because the arrows are pointing in the same directions and do intersect or cross each other.
B. Line AB and Line RS are parallel is false because although they do not intersect, they also do not go in the same direction. These are also not perpendicular lines because they do not intersect other, even though they make a right angle.
C. Line CG and Line RS are perpendicular is true because these lines intersect at exactly 90° angle (as shown by the square).
D. Line AB and Line RS must intersect is false because Line AB does not intersect Line CG (which is the line that does intersect Line RS).
E. Line CG lies in plane X is true because point C and point G are in plane X.
F. Line RS lies in plane X is false because point r and point 2 are in plane Y.
In this sampling method we believe there are significant differences between groups comprising the population. Here we assign the population into groups and then try to replicate those percentages present in the population in our sample. As a result we randomly select people out of each group to try and get a representative sample from each of the groups of interest. Which sampling method is this?
Answers
Answer:
Proportionate Stratified Random Sampling.
Step-by-step explanation:
Sampling is the process of selecting a small group representative of population.
Stratified Random Sampling is used when population is too heterogeneous, ie too dissimilar. This method includes dividing population into various dissimilar groups [stratas] , similar within themselves. Then, sample is taken from each strata (group), making it good representative of population variety.
If sampling structure is such that - sample units are selected from each strata, in proportion to the strata's presence in population - It is called Proportionate Stratified Random Sampling.
Eg : Dividing population in gender (men, women, other) stratas & taking sample from each strata - in proportion to particular gender in population
-2(t+7)=-4t+12 what is the value of t
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
The diameter of a circle measures 18yd . What is the circumference of the circle? Use3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Given ,
The diameter of a circle measures 18ydTo Find : The Circumference of a circle
Radius can be the determined by the formula
[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]
Now we can apply the formula of the circumference of a circle which is,
[tex]Circumference = 2\pi r[/tex]
[tex]Circumference = 2X3.14X9[/tex]
[tex]Circumference = 56.52[/tex]
Hence , the Circumference of a circle is 56.52yd
Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)
Answers
The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).
Which expression can be used to determine the product of the given word phrase?As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.
Since the given expression is; -4 and 3 and one-fourth; we have that;
-4 × 3 ¼
However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;
-4 × ( 3 + ¼ )
Ultimately, the resulting expression using the distributive property is;
( -4 ) ( 3 ) + ( -4 ) ( ¼ )
Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).
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help me please with this
Answers
Answer:
a) (0,-2)
b) [tex]\frac{1-(-2)}{3-0}[/tex]= 1
c) -3 or 9
Step-by-step explanation:
what is m=5 n=3 mn+9
Answers
Since m = 5 and n = 3, mn means multiply the values together.
5(3) = 15
Now add 9
15 + 9 = 24
Answer: 24
Step-by-step explanation:
Given that m=5 and n=3, we can plug our values into the given expression to evaluate.
(5)(3)+9 [multiply]
15+9 [add]
24
The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.
In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Answers
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
Answers
First multiply 45 x 33 (BxH) then divide by 2
Answer:
742.5 inches squared
Step-by-step explanation:
What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
What is the volume of a right rectangular prism that measures 4 inches
long, 3 inches wide, and 6 inches high?
A
75 inches3
B.
13
1 inches
C.
72 inches
D
81 inches 3
Answers
It’s c, 72 inches
Step-by-step explanation:
Volume is length x width x height so it’d be
4 x 3 x 6 which equals 72
Answer:
72
Step-by-step explanation:
you multiply length x width x height and you get your answer
Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94 900. What was the population of the town in 2020?
Answers
Answer:
Step-by-step explanation:
if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.
so, we do the rule of three:
x = (94900 * 100)/ 65
x = 146000
and that is the population in 2020.
Answer:
Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?
The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $20. A random sample of 90 workers in this industry has a mean daily wage of $122. Find a 90% confidence interval for the true mean daily wage of all union workers in the industry. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answers
Answer:
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{20}{\sqrt{90}} = 3.4[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6
The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Which graph represents the solutions to this equation?
X²+8x=-20
Answers
Answer:
The one with the vertex of (-4,4)
Step-by-step explanation:
Determine the perimeter of the right triangle shown.
24 units
10 units
8 units
6 units
Answers
Answer:
A) 24 units----------------------------------
Find the legs first:
5 - (-3) = 8 units,4 - (-2) = 6 units.Find the hypotenuse using Pythagorean:
[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]Find the perimeter:
P = 8 + 6 + 10 = 24 unitsCorrect choice is A.
Answer:
A) 24 units
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
From inspection of the given right triangle:
Base = 8 unitsHeight = 6 unitsAs the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:
[tex]\implies c^2=a^2+b^2[/tex]
[tex]\implies c^2=8^2+6^2[/tex]
[tex]\implies c^2=64+36[/tex]
[tex]\implies c^2=100[/tex]
[tex]\implies c=\sqrt{100}[/tex]
[tex]\implies c=10[/tex]
Therefore, the perimeter of the given triangle is:
[tex]\implies 8+6+10=24 \; \rm units[/tex]
Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answers
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!
Answers
Answer:
Part A
Which is the ordered pair for Point B?
A. (2, 8)
B. (6, 8)
C. (6, 6)
D. (8, 6)
Part B
Which point is at (8, 2)?
A. A
B. B
C. C
D. None of these
Part C
What are the coordinates of point A?
Enter your answer in the boxes.
(
2
,
8
)
Part D
What are the coordinates of the fourth vertex of the rectangle?
Enter your answer in the boxes.
(
0
,
0
)Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answers
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
Math Kangaroo Brazil 2020 Grade 7-8 Question. Please Solve both question 25 and 26
Answers
According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).
How to calculate at what time Jonas realized the sequences of distance, and time were the same (Question 25)?To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:
21h00min - 22h10min = 1h10min = 70 min1 min = 0.016h70 min = 1.16h1.16h + 21h = 22.1h = 22h10minHow to calculate what fraction of the total amount of impurities was removed from the package (question 26)?To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:
Total impurities in package: 8%Impurities removed from the package: 4%8 / 2 = 4According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.
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Please help me.
11 Find the lateral area and surface area of a regular square pyramid with base edge length 6 m and slant height 8 m.
Answers
Answer:
area of square =length × length ×height
=6×6×8
=288
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answers
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
What is the rate of change of the function y= 3/4x - 2
Answers
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
Slope intercept form
Answers
Answer:
The formula for finding Slope Intercept Form is y = mx + b.
Step-by-step explanation:
Y - Y coordinate
M - Slope
X - X coordinate
B - Y Intercept
This formula is used for finding the equation of a line.
‼️PLEASE HELP ASAP!!!!‼️
Select the table that represents a linear function. (Graph them if necessary.)
Answers
Check image below
For explanation
you want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E?
A. 0.01
B. 0.02
C. 0.05
D. 0.10
Answers
Answer:
its C. 0.05 #edmentumgang
Step-by-step explanation:
Answer:
Option C is the correct anwer for plato
Step-by-step explanation:
C. 0.05
how do i do this
find the difference of 24-3k and 5k-11.
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
no links please
The elevator in the newest skyscraper downtown goes from the top floor down to the lowest level of the underground parking garage. If the building is 380 feet tall and the elevator descends 420 feet from top to bottom, how far underground does the parking garage go?
A.
40 feet
B.
790 feet
C.
30 feet
D.
800 feet
Answers
Explanation:
If a building is 380 feet tall and the elevator has to descend 420 feet to get to the underground parking garage. So 420 - 380 to remove the height of the building from the equation. This would give us 40 feet underground left until the elevator reaches its desired destination.
Find the volume of the pyramid
Answers
Answer: 800
Please mark as brainlist if it’s right.
There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
to know the weight of the package in pounds.
Answers
Answer:
96oz = 6 pounds
Step-by-step explanation:
96 divided by 16 = 6 pounds
Assuming there are 16 ounces in 1 pound, if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.
Weight of the package in poundsUsing this formula
Weight in pounds=Weight /Ounces in 1 pound
Where:
Weight=96 ounces
Ounces in 1 pound=16 ounces
Let plug in the formula
Weight in pounds=96 ounces/16 ounces
Weight in pounds=6 pounds
Inconclusion the weight of the package in pounds is 6 pounds.
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