According to the information in the table, the correct options are: The estimated number of employees who would have voted for coffee is higher when based on the results of Group B rather than Group A. (option B).
How to identify the correct sentence?To identify the correct option that matches the information in the survey table, we must read each of the options and compare it with the information in the table to establish one as true.
Based on the above, we can infer that the correct option is option B because the number of employees who voted for coffee in group B is greater than the number of employees who voted for coffee in group A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
Options:
A. The estimated number of employees who would have voted for green tea is higher when based on the results of Group A rather than Group B.
B. The estimated number of employees who would have voted for coffee is higher when based on the results of Group B rather than Group A.
C. The estimates for both groups show an equal number of employees would have voted for coffee.
D. The estimated number of employees who would have voted for coffee is higher when based on the results of Group A rather than Group B.
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An acorn grew 0.5% from its weight of 2.5 grams. How much did it grow?
Explain why the function is not continuous at x= -5
For the function,
F(x) = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.
What is continuity ?In mathematics, The function is called as continuous at the particular value of x, if right hand limit, left hand limit and the value of function at x all are equal.
RHL = LHL = F(x)
Limit exist and continuous
Given that,
F(x) = (x² + 11x +28)/(x² + 8x + 15)
To check whether it is continuous at x = -5
First taking LHL,
[tex]\lim_{h \to \ 0}[/tex] [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]
It is approaching at negative infinity
Now, taking RHL
[tex]\lim_{h \to \ 0}[/tex] [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]
Again, It is approaching at negative infinity
Hence, here limit doesn't exist so it is not continuous at x = -5
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One method of approximating a value is called
Answer:
Step-by-step explanation:
An equivalent method of approximating values of functions is called an approximation using differentials
The diagram shows the graph of y=2x+c. Where c is a constant find the value of K.
the answer to this question where is the is c+2x
In the figure, a triangle is removed.. from a square of sides 9m. Find area.
If a triangle is removed.. from a square of sides 9m. The area is: 77.25 m².
How to find the area?Area of Square = Side × Side = Side²
Area of Square = 9m × 9m
Area of Square = 81 m²
Area of triangle = 1/2 ×b ×h
Area of triangle = 1/2 × 3m × 2.5m
Area of triangle = 3.75m²
Area of Figure = 81m² - 3.75m²
Area Of Figure = 77.25 m²
Therefore the area is 77.25 m².
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Hey guy’s question 1/5 = 15/x so…. X = 3 am i right can sb verify
Answer:
x = 75
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{\dfrac{1}{5} = \dfrac{15}{x}}[/tex]
Multiply both sides by 5x to clear off denominators:
[tex]\displaystyle{\dfrac{1}{5}\cdot 5x = \dfrac{15}{x} \cdot 5x}\\\\\displaystyle{1\cdot x = 15\cdot 5}\\\\\displaystyle{x=75}[/tex]
Therefore, x = 75
Susan places $6400 in three investments at rates of 8%, 9.6% and 14.4% per annum, respectively. The total income after one
year is $ 744.00. If the amount placed in the third investment is $1500 more than the amount placed in the second, find the
amount of each investment.
On solving the equations x + y + z = 6400 and 0.08x + 0.096y + 0.144z = 744, the values for first, second and third investments are $1500, $1700 and $3200 respectively.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
Susan places $6400 in three investments at rates of 8%, 9.6% and 14.4% per annum, respectively.
Let the amount of each investment be x, y and z.
So the mathematical form of the statement is -
x + y + z = 6400
The total income after one year is $744.00.
So the mathematical form of the statement is -
0.08x + 0.096y + 0.144z = 744
The amount placed in the third investment is $1500 more than the amount placed in the second.
So the mathematical form of the statement is -
z = (y + 1500)
Substitute the value of z in first equation -
x + y + (y + 1500) = 6400
x + 2y = 6400 - 1500
x + 2y = 4900
x = (4900 - 2y)
Substitute the value of z in second equation -
0.08x + 0.096y + 0.144(y + 1500) = 744
0.08x + 0.096y + 0.144y + 216 = 744
0.08x + 0.24y = 744 - 216
0.08x + 0.24y = 528
Substitute the value of x in this equation -
0.08(4900 - 2y) + 0.24y = 528
392 - 0.16y + 0.24y = 528
- 0.16y + 0.24y = 528 - 392
0.08y = 136
y = 136/0.08
y = 1700
Therefore, the value of second investment is 1700.
Substitute the value of y in formula for z -
z = (y + 1500)
z = 1700 + 1500
z = 3200
Therefore, the value of third investment is 3200.
Substitute the value of y in formula for x -
x = (4900 - 2y)
x = 4900 - 2(1700)
x = 4900 - 3400
x = 1500
Therefore, the value of first investment is 1500.
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A zipline cable is attached to two platforms 1000 ft apart at an angle of depression from the taller platform of 12º. What is the length of the cable, rounded to the nearest foot?
The length of the cable is 4810 feet.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecent/hypotenuse and
tan = opposite/adjacent.
If the angle of depression from the taller platform of 12°, Then the angle of elevation is (90 - 12) = 78°.
We know, cos = adjacent/hypotenuse.
cos78° = 1000/hypotenuse.
hypotenuse = 1000/cos78°.
hypotenuse = 4810 feet.
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Answer:
1022
Step-by-step explanation:
cos 12 = 1000/x
Consider the graph of the function f (x) = log x.
Match each transformation of function f with a feature of the transformed function.
Transformation of the given function with a feature of the transformed function.
g(x)=-f(x-3) is the vertical asymptote of x=3
j(x)= f(x+3) is x-intercept of (-2,0)
h(x)=3f(x)-3 is domain of (0, ∞)
What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)
g(x)=-f(x-3) is the vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) then
j(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞), {x | x>0}
h(x) = 3f(x)-3 is domain of (0, ∞)
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19. Bruce has 5 bags of potatoes. Each bag
weighs 63 pounds. Use the equation below
to find the total number of pounds of
potatoes in the 5 bags.
5 × 6 = (5 × 6) + (5 x ³) =
A 16 pounds
B 31 pounds
C 32 pounds
D 33 pounds
The total number of pounds is 315 pounds
How to determine the total number of poundsFrom the question, we have the following parameters that can be used in our computation:
Number of bags = 5
Weight of each bag = 63 pounds
This means that
Total weight = 5 * 63
Evaluate the product
Total weight = 315 pounds
Hence, the total weight is 315 pounds
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What mathematical statement calculates a value?
On solving the provided question, we can say that a Formula is a mathematical statement that calculates a value.
What is Formula?In mathematical symbols, a formula is a fact or a rule. Usually, an equal symbol links two or more values. Formulas can be used to determine a quantity's value if you know the value of one. A formula is a collection of mathematical signs and figures that show you how to solve a problem. Examples include formulae for determining the volume of 3D objects and formulas for estimating the perimeter and area of 2D shapes. A mathematical rule or relationship that expresses a variable quantity using letters is called a formula. We refer to these as variables.
A formula is a mathematical statement that calculates a value.
for, example to calculate area of triangle we need a formula.
that formula for area of triangle is = 1/2 * b * h.
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the very last question. i need this now its an important grade.
Answer:
158
Step-by-step explanation:
So the sample size said 15 out of 50. Using the sample size to relate to the total number of students, we get this ratio
[tex] \frac{15}{50} = \frac{x}{526} [/tex]
Let's cross multiply
[tex]50x = (15)(526)[/tex]
[tex]50x = 7890[/tex]
Last, divide by 50 to get X alone
[tex]x = 157.8[/tex]
Which rounds up to 158
50) A cashier has a total of 121 bills, made up of fives and tens. The total value of the money is $895. How many ten-dollar bills does the cashier have?
Answer:
89 Bills of 10$ and 1 of 5$
Step-by-step explanation:
Pretty simple division which gets you 89.5 and that decimal is just the one 5$
A car costs £14000. Work out the price after an 8% discount.
The price is £12,880.
First, do 14000 x 0.08 = 1,120.
Next do 14,000 - 1,120 = 12,880.
So, the price is £12,880.
Mark me Brainliest. :D
Need REAL ANSWER AND SOLUTION please so i can study it. Help me math experts
Answer:
B
Step-by-step explanation:
Should be B.
Derivative of 9X^2 is 18x because the exponent multiplied by the coefficient is 18 and the exponent minus 1 is just 1.
Derivative of 1 is 0 because derivative of any real number is 0
Derivative of y^2 is 2y dy/dx because derivative of y^2 is 2y since the exponent 2 times the coefficient 1 equals 1. And the exponent 2 minus 1 is simply 1.
BUT since it's respect to x, we have to add dy/dx right at the end of the 2y
Math question,Urgent help!!!
Show work thanks
Among 60 students the probability that the group plays Field Hockey (F) and Basketball (B) is 0.083.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
From the given Venn Diagram -
The number of students who play Field Hockey (F) is = 18
The number of students who play Soccer (S) is = 10
The number of students who play Basketball (B) is = 7
The number of students who play Field Hockey (F) and Soccer (S) is = 4
The number of students who play Field Hockey (F) and Basketball (B) is = 2
The number of students who play Soccer (S) and Basketball (B) is = 5
The number of students who play Field Hockey (F), Soccer (S) and Basketball (B) is = 3
The number of students who play nothing = 11
The probability to find the students who play Field Hockey (F) and Basketball (B) is -
Probability = (number of students who play Field Hockey (F) and Basketball (B)) + (number of students who play Field Hockey (F), Soccer (S) and Basketball (B)) / (Total number of students in survey)
Substitute the values in the equation -
Probability = (2 + 3) / 60
Probability = 5 / 60
Probability = 1 / 12
Probability = 0.083
Therefore, the probability value is obtained as 0.083.
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6. An astronaut spent 438 days orbiting Earth in the International Space Station. Write 438 days in weeks, rounded off to the nearest week.
Answer: 62.57 weeks/63 weeks
Step-by-step explanation:
438 divided by 7 = 62.57
Rounded to the nearest week, 62.57 turns to 62.60 which is closer to 63.
The answer is 63 weeks
Quadrilateral+ABCD+has+verticals+at+A(-3,-4)B(-1,-1)C(2,-2)D(3,-4).+Graph+quadrilateral+ABCD+and+it’s+image+after+180+counterclockwise+rotation+about+vertex D.
The coordinates of the image is A'(3, 4), B'(1, 1), C'(-2, 2) and D'(-3, 4).
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
A(-3, -4), B(-1, -1), C(2, -2) and D(3, -4).
In case the quadrilateral ABCD is rotated 180° counterclockwise about the origin, then according to the rule for the rotation of point (x, y) by 180° (x, y) changes into (-x, -y).
Then, the coordinates of the image is
A'(3, 4), B'(1, 1), C'(-2, 2) and D'(-3, 4).
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Isla is given $100,000 for college expenses. She deposits the money in a bank account that doesn't pay any interest on the money, and she makes no further deposits into the account. Two weeks after the start of each semester, Isla withdraws $8,500 to pay her tuition. Suppose it takes Isla a total of 10 semesters to complete her college degree, and each semester costs $8,500. What sequence represents the amount of money left in Isla's bank account at the beginning of each semester? Is there money left in her account after she graduates? Explain.
1) The sequence that represents the amount of money left in Isla's bank account at the beginning of each semester is 100,000 - 8,500n.
2) At the end of 10 semesters when Isla graduates, the amount of money left in her account (balance) is $15,000.
How the balance is determined:The total deposit in Isla's account with interest = $100,000
The withdrawal per semester = $8,500
The number of semesters for Isla to graduate = 10
Let n represent the number of past semesters.
After of money left after each semester can be modeled as 100,000 - 8,500n.
Based on this sequence, after 10 semesters, Isla's account have a balance of $15,000 (100,000 - 8,500(10).
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what is the range of f?
The range of the function is -5 ≤ f(x) ≤ 5.
The correct option is C.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
A graph of function is given.
The range of the function is all the achievable values.
So, the range of the function is,
-5 ≤ f(x) ≤ 5.
Therefore, the range is -5 ≤ f(x) ≤ 5.
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during a 90 min play the main chararcter 80% of the time what amont of minutes was the main chararcter on stage
Answer:
72 mins
Step-by-step explanation:
90 x .8
72
In exercises 1 and 2 use the graph to solve the equation
The solution:
Exercise 1: x = -1 and 3.
Exercise 2: x = 2 and 4.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The graphs of the two quadratic equation.
So, Exercise 1,
-x² + 2x + 3 = 0.
From the graph,
-1 and 3 are the zeros of the equation.
The solution of the equation is,
x = -1 and 3.
Exercise 2,
x² - 6x + 8 = 0.
From the graph,
2 and 4 are the zeros of the equation.
The solution of the equation is,
x = 2 and 4.
Therefore, the solutions of the both the equation are given above.
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In its second year of operation, a local Internet provider's profits were $180,500. If this amount was 676% of the company's first-year profits, find the first-year profits (to the nearest hundred dollars).
The first-year profits (to the nearest hundred dollars) is, $26,701.18.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In its second year of operation, a local Internet provider's profits were $180,500.
And, This amount was 676% of the company's first-year profits.
Now, Let the amount in the first-year profits = x
So, We can formulate;
⇒ 676% of x = 180,500
⇒ 676/100 × x = 180,500
⇒ x = 180500 × 100 / 676
⇒ x = $26,701.18
Thus, The first-year profits (to the nearest hundred dollars) is, $26,701.18.
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A plumber charges $75 for the first one-half hour of a service call and an additional $45 for every additional half hour. Write an expression that can be used to find the cost for h half hours and use your expression to find the charge for 3 1/2 hours.
Answer:
$270
Step-by-step explanation:
h = number of half hours worked
$75 + $45(h-1) = total cost
3 1/2 hrs = 7 half-hours
$75 + $45(7 - 1) = $270
Gary has 6 more baseball cards than football cards. He has fewer than 125 baseball
cards, Write an inequality for the number of football cards, f, he has.
around 125-6
Step-by-step explanation:
Question 8 (1 point) Cost of U. S. Homes Let 1990 - 0 Year Avg. Sales Price (Thousands)
1990 149
1995 158
2000 207
What would be the approximate sales price for a home in 2020? 480, 600 ,807, 210
The approximate sales price for a home in 2020 would be 480
How to determine the approximate sales priceFrom the question, we have the following parameters that can be used in our computation:
Year Avg. Sales Price (Thousands)
1990 149
1995 158
2000 207
We can see that there is an upward trend as the year increases
However, the table does not follow a linear or an exponential pattern
From 2000 and 1990, the change in price is 58
Using this as a guide, we have
2020 = 207 + 58 * 2
2020 = 323
The closest to 323 in the option is 480
Hence, the sales price is 480
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In the bar model, the discount is 20%. What percent of the regular price is the sale price? Explain how you could solve the problem using this information.
The sale price of the item is given by the equation A = $ 22.40
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The regular price of the item = $ 28.00
The percentage of discount = 20 %
So , the sale price of the item = regular price of the item - ( percentage of discount x regular price of the item )
Substituting the values in the equation , we get
The sale price of the item A = 28.00 - ( 0.20 ) x 28.00
The sale price of the item A = 28.00 ( 1 - 0.20 )
The sale price of the item A = 28.00 ( 0.80 )
So , the sale price of item is 80 percentage of the regular price
Therefore , the sale price of the item = ( 80 / 100 ) x $ 28.00
The sale price of the item A = $ 22.40
Hence , the sale price is $ 22.40
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(100 POINTS FREE!) Find the measure of the three missing angles in the rhombus below.
x=
y=
z=
The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively for the rhombus.
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
As we know that the adjacent angle of the rhombus is supplementary.
As per the given figure, the value of 'x' is given as,
87° + ∠x = 180°
∠x = 180° - 87°
∠x = 93°
Since the opposite angle of the rhombus is congruent to each other.
So ∠y = ∠x
Then ∠y = 93°
And ∠z = 87°
The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively.
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Prove by induction [tex]n^5+(n+1)^5+(n+2)^5+(n+3)^5+(n+4)^5[/tex] is divisible by 25 for any n greater than or equal to 1.
n⁵ + (n+1)⁵ + (n+2)⁵ + (n+3)⁵ + (n+4) is not divisible by 25.
What is Mathematical induction?Mathematical Induction is a technique of proving a statement, theorem or formula which is thought to be true, for each and every natural number n.
Given expression,
n⁵ + (n+1)⁵ + (n+2)⁵ + (n+3)⁵ + (n+4)
To prove: above expression is divisible by 25.
Putting n = 1 in the expression
1⁵ + (1+1)⁵ + (1+2)⁵ + (1+3)⁵ + (1+4)
= 1 + 2⁵ + 3⁵ + 4⁵ + 5
= 1 + 32 + 243 + 1024 + 5
= 1305
which is not divisible by 25.
Hence, 25 is not divisor of n⁵ + (n+1)⁵ + (n+2)⁵ + (n+3)⁵ + (n+4)
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The graph of a quadratic function with vertex (1,-2) is shown in the figure below.
Find the range and the domain.
The graph of a quadratic function with vertex (1,-2) has the range and the domain respectively, ( -∞, -2 ) and ( -∞, ∞)
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The graph of a function,
whose vertex is (1, -2)
As it can be seen in the graph,
The given quadratic function has defined value for each value of x,
So, the domain of the given function is real numbers,
x ∈ ( -∞, ∞)
The maximum value of the function is -2
And minimum value of the function is -∞
The range of the function is ( -∞, -2 )
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