The probability that a person chosen at random in this survey prefers regular or creamer coffee is:
P(regular or creamer) = 0.87 = 87%.
How to calculate the probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In the context of this problem, the outcomes are given from table, hence the probabilities are also calculated from the table.
The outcomes that satisfy a person preferring regular or creamer coffee are:
Regular: all types -> 0.27 + 0.19 + 0.32 = 0.78.Decaf and creamer: 0.09.Hence the probability is of:
P(regular or creamer) = 0.78 + 0.09 = 0.87 = 87%.
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32 x (3+2) + 8 divided by 3
Based on the above, the value of the expression 32 x (3+2) + 8 divided by 3 is 162.67.
What is the expression?To solve the expression 32 x (3+2) + 8 divided by 3, we need to follow the rule of operations of PEMDAS ( that is: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First step- Start by looking at the expression within the parentheses:
(3 + 2) = 5.
32 x 5 + 8 divided by 3.
Secondly, carry out the multiplication:
32 x 5
= 160.
The expression will be : 160 + 8 divided by 3.
Lastly, carry out a division:
8 divided by 3
= 2.67 approx.
The expression will then be: 160 + 2.67.
So one can now add the two results to be:
160 + 2.67
= 162.67.
Therefore, the value of the expression 32 x (3+2) + 8 divided by 3 is about 162.67.
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Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
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Mr.Garcia gave a history test in which 85% of his students passed the test. If 120 students took the history test, how many passed the test?
Answer:
56.67
Step-by-step explanation:
Cole and Maggie play table tennis. Maggie has won 4 more games than Cole. Is it possible for Cole to have won 13 games if the sum of the games Cole and Maggie have won together is 30?
*
1 point
Yes; Cole could have won 13 games because 2x + 4 = 30.
Yes; Cole could have won 13 games because 13 + 4 is less than 30.
No; Cole could not have won 13 games because 2x + 13 ≠ 30.
No; Cole could not have won 13 games because 2x + 4 ≠ 30
The answer to this Question is A we can use basic knowledge from linear equations to find the answer
What is Linear Equation?
Linear Equation is a equation in which degree of variables is 1 only
Yes the given case is possible only under some conditions that we can define as follows and as given in Linear Equations from Options
together cole and maggie have won 30 games and we are also given that out of those 30 maggie has won 4 games
we should closely see at Linear Equations given in Options.
therefore cole has won 26 games which is more than 13
Hence the answer to the Question is Yes
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Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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The diagram shows two overlapping rectangles, each measuring p by q.
The area of overlap is exactly one-quarter of the total area of the figure.
what is the ratio p;q
Answer: 5:2
because i said so
Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost $22 each. Let c be the cost for a salvia. Which inequality below could be used to show how much money Frank spent on salvia?
Answer: 3×22+c≤85
Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be greater
Hope this helped
The inequality for the given situation is 66+c ≤ 85.
Given that, Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and 3 azaleas. The azaleas cost $22 each.
What is inequality?In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let c be the cost for a salvia.
Three azaleas + A salvia ≤ 85
3×22+c ≤ 85
⇒ 66+c ≤ 85
Therefore, the inequality for the given situation is 66+c ≤ 85.
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Explain why it's important to follow the Order of Operations in Math.
Answer:
The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. ... Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.
Answer:
The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.
Step-by-step explanation:
Luke is 5 years older than twice his younger brother Thomas. If Luke is 19, how old is Thomas?
Answer:
Thomas is 14 because 19-5=14
Step-by-step explanation:
brailiest please
Answer:
7
Step-by-step explanation:
19-5=14
14/2=7
Presented below is the 2021 income statement and comparative balance sheet information for Tiger Enterprises.
TIGER ENTERPRISES
Income Statement
For the Year Ended December 31, 2021
($ in thousands)
Sales revenue $ 7,300
Operating expenses:
Cost of goods sold $ 3,410
Depreciation expense 290
Insurance expense 150
General and administrative expense 1,850
Total operating expenses 5,700
Income before income taxes 1,600
Income tax expense (650 )
Net income $ 950
Balance Sheet Information ($ in thousands) Dec. 31,2021 Dec. 31, 2020
Assets:
Cash $ 350 $ 250
Accounts receivable 800 880
Inventory 690 650
Prepaid insurance 75 45
Equipment 2,350 2,050
Less: Accumulated depreciation (940 ) (650 )
Total assets $ 3,325 $ 3,225
Liabilities and Shareholders' Equity:
Accounts payable $ 350 $ 410
Accrued liabilities (for general & administrative expense) 350 450
Income taxes payable 250 200
Notes payable (due 12/31/2022) 850 650
Common stock 950 850
Retained earnings 575 665
Total liabilities and shareholders' equity $ 3,325 $ 3,225
Required:
Prepare the cash flows from operating activities section of Tiger's 2021 statement of cash flows using the direct method. Assume that all purchases and sales of inventory are on account, and that there are no anticipated bad debts for accounts receivable. (Amounts to be deducted should be indicated with a minus sign. Enter your answers in thousands.)
Based on the information given, it should be noted that the net cash flow from operating activities will be $1240.
How to calculate net cash flowCash flow from operating activities will be calculated thus:
Cash received from customers = $7300
Less Cash paid for insurance = $150
Less: Cash paid for merchandise = $3410
Less: Cash paid for general and administrative expense = $1850
Less: Income tax = $650
Net cash = $1240
Therefore, the net cash flow from operating activities will be $1240.
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
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7st + 4t(s + t + 4) - 9t
Answer:
11ts + 4t^2 + 7t
Step-by-step explanation:
7st + 4t(s + t + 4) - 9t
= 7st + 4ts + 4t^2 + 16t - 9t
= 11ts + 4t^2 + 7t
Answer: 11st + 4t² + 7t
Step-by-step explanation:
Expand 4t(s + t + 4) into: 4st + 4t² + 16t
7st +4st + 4t² +16t - 9t
Add and subtract to get your answer
What is the area of this figure?
Answer:
416
Step-by-step explanation:
since this is a trapezoid, you would calculate the area by the formula
(a+b )h/2 where h is the height and a and b are the 2 bases
When you plug the values in you get the answer as 416
Hope this Helps!
Toni's brownie recipe calls for 2 teaspoons of salt to 3 teaspoons of vanilla. How many teaspoons of salt does Toni need to every one teaspoon of vanilla?
Answer:
2/3
Step-by-step explanation:
Question 6 of 10
Which situation shows a constant rate of change?
A. The number of tickets sold compared with the number of minutes
before a football game
B. The height of a bird over time
C. The cost of a bunch of grapes compared with its weight
D. The outside temperature compared with the time of day
SUBMI
a) the cost of a bunch of grapes compared with its weight
GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAPES!!!!!
Oliva works 4 hours each week more than lily
Answer:
12 hours
Step-by-step explanation:
First it’s every 2 weeks so divide by 2 to find 1 week and get 16 hours a week then subtract 4 hours cause olivia works 4 more per week and u get 12 hours so Lily works 12 hours a week ;)
sorry if wrong have a good day/night
may i please have a branllest
5. There are 400 students in the senior class at Oak Creek High School. All 2 points
of these students took the SAT. The distribution of their SAT scores is
approximately normal. The number of students who scored within 2
standard deviations of the mean is approximately *
-3
-2
0
1
2.
3
Answer:
The number of students who scored within 2 standard deviations of the mean is 380.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
The number of students who scored within 2 standard deviations of the mean is approximately
By the Empirical Rule, 95% of the students scored within 2 standard deviations of the mean
Out of 400
0.95*400 = 380
The number of students who scored within 2 standard deviations of the mean is 380.
Answer: 380
Step-by-step explanation: 95% of 400 is 380
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.
He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.
On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.
Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.
Answer:
mark on day three can use up to 4 cans of blue paint and 5 cans of yellow paint
Step-by-step explanation:
given--started with 14 cans of blue paint
given--started with 20 cans of yellow paint
given--used 10 cans of blue paint and 15 cans of yellow paint in total
by subtracting the blue paint he used with the amount he started with you get an answer of 4 blue paint cans--- vice verse--20 yellow paint cans minus 15 yellow paint cans equal 5 yellow paint cans.
Anita incorrectly wrote z =w-18 to describe the pattern in the table. Choose the best description of Anitas error
1. To build the walls on the two outside corners of the bedroom, your cousin wants to use sheets of dry wall that are each x in length. How many sheets of dry wall will you need for the two outside walls of the bedroom?
Answer:
z/xy where z units squared is the total area of the two outside walls and xy is the area of one sheet.
Step-by-step explanation:
First find the area of a single sheet as;
Length of the sheet is x units
Assume the width of the sheet to be y units
The area of the sheet will be : x* y = xy units squared.
Second, find the total area of the two outside corners walls of the bedroom.
Lets say the total area of the two outside walls is z units squared.
Then to get number of sheets of dry wall you need for the two outside walls of the bedroom will be;
= Total area of the two outside walls / The area of one sheet
= z/xy
Use real values for x, y and z to find the actual number of sheets required for the two outside corners walls of the bedroom.
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
Easy math will give brainlest
Answer:
1. 3 hours 2. 150 ft
Step-by-step explanation:
1. a) 50 + 60 + 60 + 60 = $230 = 3 hours
b) 80 + 50 + 50 + 50 = $230 = 3 hours
Answer: 3 hours
2. 10 * 5 * 3 = 150 ft
Answer:1 3 hours 2 150
Step-by-step explanation:
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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what decimal is equivalent to 27/32
Answer:
0.8438
0.8438 is a decimal and 84.38/100 or 84.38% is the percentage for 27/32.
Step-by-step explanation:
Answer:
0.84375
Step-by-step explanation:
15.624 as a fraction
15 624/1000 is it supposed to be sipplified?
Answer:
15 \(\frac{624}{1000}\) or 15 \(\frac{78}{125}\) simplified
Step-by-step explanation:
find the bearing of a from b
find the bearing of b from a
Answer:
130° and 310°
Step-by-step explanation:
the bearing of A from B is the measure of the clockwise angle from a north line at B to A
the angle at B and A are same- side interior angles and sum to 180°
angle at B = 180° - 50° = 130°
the bearing of A from B is then 130°
the bearing of B from A is the measure of the clockwise angle from the north line at A to B
the complete angle about A = 360° then clockwise angle from north line at A to B is
360° - 50° = 310°
the bearing of B from A is 310°
Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
work out the following numbers: a. 473 569+ 4798. b. 89 264 + 126 578. c. 900 008-124 829. d. 876 954- 765 612
A) =478,367
B) =215,842
C) =775,179
D) =111,342