The football team's total payroll is B. 2.5753 x [tex]10^{11}[/tex] dollars more than the baseball team's total payroll.
Option B is the correct answer.
We have,
To find how many more dollars the football team's total payroll is than the baseball team's total payroll, we need to subtract the baseball team's total payroll from the football team's total payroll.
Football team's total payroll = 2.6 x 10^11 dollars
Baseball team's total payroll = 2.47 x 10^9 dollars
Difference = Football team's total payroll - Baseball team's total payroll
Difference = [tex](2.6 \times 10^{11}) - (2.47 \times 10^9)[/tex]
To subtract these numbers, we need to make sure they have the same exponent:
2.47 x [tex]10^9[/tex] dollars = 0.247 x [tex]10^{10}[/tex] dollars
(move the decimal one place to the right)
Now, subtract:
Difference = (2.6 x [tex]10^{11}[/tex]) - (0.247 x [tex]10^{10}[/tex])
Difference = 2.5753 x [tex]10^{11}[/tex] dollars
Thus,
The football team's total payroll is B. 2.5753 x [tex]10^{11}[/tex] dollars more than the baseball team's total payroll.
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5x=8x-75
Solve for X
Answer:
75=8x-5x
75=3x
75/3=x
x=25 answer
At Elmo's, an old-fashioned barber shop in Melbourne, Florida, 66% of all customers get a haircut, 49% get a shave, and 40% get both.
a) What is the probability that a randomly selected person doesn't get a shave and doesn't get a haircut? Your answer should have at least 3 decimal places.
b) What is the probability that a randomly selected person gets a shave, given that they get a haircut? Your answer should have at least 3 decimal places.
a)0.250
b)0.606
In the given question , we observe that
at Elmo's an old-fashioned barber shop in Melbourne, Florida ,66% of all customers get a haircut ,49% get a save and 40% get both.
Probability is simply how likely something is to happen.
Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The best example for understanding probability is flipping a coin:
There are two possible outcomes—heads or tails.
Independent event:
If two events, A and B are independent then the joint probability is
P(A and B)=P(A∩B)=P(A)P(B)
For example, if two coins are flipped, then the chance of both being heads is 1/2*1/2=1/4
probabilities of different events are:
P(Haircut)=66%=66/100=0.66
P(Shave)=49%=49/100=0.49
P(both)=40%=40/100=0.40
a) we have to find the probability that a randomly selected person doesn't get a shave and doesn't get a haircut.
P(no haircut ∩ no shave)=1-P(haircut ∪ shave)
=1-[P(haircut)+P(shave)-P(both)]
=1-[0.66+0.49-0.40]
=1-0.75
=0.250
b) we have to find the probability that a randomly selected person gets a shave, given that they get a haircut.
P(Shave/Haircut)=P(Both)/P(Haircut)
=0.40/0.66
=0.606
Hence, final answer is
a) the probability that a randomly selected person doesn't get a shave and doesn't get a haircut=0.250
b)the probability that a randomly selected person gets a shave, given that they get a haircut=0.606
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Which of the terms best describes the following sequence?
13, 26, 39, 52, ...
Group of answer choices
Arithmetic
Geometric
Neither
Answer:
It's both an A. P and a G. P series.
Step-by-step explanation:
Let's prove using A.P with a common difference (d) = 13
Let's say we want to find the second number
a + (n - 1)d
a = 13, n = 4, d = 13
.: S2= 13 + ( 2- 1)13
S2= 13 + (1) 13
S2= 13 + 13 = 26
Let's show using a G. P series.
S2 = arⁿ—¹
S2 = 13 × 2²—¹
S2 = 13 × 2¹
S2 = 13 × 2 = 26
Information to answer the question.
This data represents the number of jumps in a row 10 students made during a jump-rope competition.
30, 36, 38, 45, 57, 60, 77, 86, 88, 88
What is the interquartile range? Enter the answer in the box.
Jumps
Answer: 48
So, to find out the interquartile range, we must first find the median of the lower and upper half of the data. So, 30, 36, 38, 45, 57 | 60, 77, 86, 88, 88 For the first half, the median is 38, and for the upper half, the median is 86. The median of the lower half is known as the quartile 1, and the median of the upper half is known as the quartile 3. The interquartile range is found by the difference between Q3 and Q1. So, 86 - 38 = 48.
There were 48 jumps.
Hops this helps :)
A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3227 tickets overall. It has sold 158 more $20 tickets than $10 tickets. The total sales are $62.410. How many
tickets of each kind have been sold?
How many $10 tickets were sold?
A basketball team sells tickets that cost $10 $20 or VIP seats, $30.
The no. of three types of tickets = x, y, z
;
The team has sold 492 tickets over all.
x + y + z = 492
:
It has sold 177 more $20 tickets than $10 tickets.
y = x + 177
:
The total sales are $8580.
10x + 20y + 30z = 8580
:
How Many tickets of each kind have been sold?
:
Replace (x+177) for y in the 1st and 3rd equations
x + (177+x) + z = 492
2x + z = 492 - 177
2x + z = 315
and
10x + 20(x+177) + 30z = 8580
10x + 20x + 3540 + 30z = 8580
30x + 30z = 8580 - 3540
30x + 30z = 5040
Simplify, divide equation by 30
x + z = 168
:
Using these two equations for elimination
2x + z = 315
x + z = 168
---------------subtracting eliminates z
x = 147 ea $10 tickets sold
:
y = 147 + 177
y = 324 ea $20 tickets sold
;
Find z using the 1st equation
147 + 324 + z = 492
471 + z = 492
z = 492 - 471
z = 21 ea $30 tickets sold:
Check solution in the $$ equation
10(147) + 20(324) + 30(21) =
1470 + 6480 + 630 = 8580; confirms our solutions
The number of $10 tickets sold is 1094.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Number of $10 tickets = x
Number of $20 tickets = x + 158
Number of $30 tickets = y
Total tickets = 3227
Total sales = $62410
We can make two equations.
x + (x + 158) + y = 3227
2x + y = 3227 - 158
2x + y = 3069 ____(1)
10x + 20(x + 158) + 30y = 62410
10x + 20x + 3160 + 30y = 62410
30x + 30y = 62410 - 3160
30x + 30y = 59250
30 (x + y) = 59240
x + y = 1975 ____(2)
From (1) and (2).
2x + y = 3069
x + y = 1975
(-) (-) (-)
x = 3069 - 1975
x = 1094
And,
Substituting x = 1094 in (2)
x + y = 1975
y = 1975 - x
y = 1975 - 1094
y = 881
The number of $10 tickets.
= x
=1094
Thus,
The number of $10 tickets is 1094.
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3.5 ft
3
6 ft
21. Hot Tub The inside of a circular hot tub is lined
with 1-inch by 1-inch tiles.
a. Explain how to estimate the number of tiles
needed for the hot tub.
b. The hot tub is 3.5 feet deep and has a diameter
of 6 feet. What is the minimum number of tiles
needed? (The formula for the circumference of
a circle is C= md.)
Answer: ?
comfusing
Step-by-step explanation:
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 14, 12, 16, 8, 6
The standard deviation of both sets of data is the same, at 3.67,and adding the same constant c to each data value results in the standard deviation remaining the same.
Define Standard deviation?
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
We have a data set:
14, 12, 16, 8, 6
As we know the standard deviation formula is :
σ = √[∑(xi-X)/n]
σ = population standard deviation
Here ,
xi = value from the data set
X = mean of the data set
n = number of observation in data set.
X = (14+12+16+8+6)/5
X = 56/5
Where, n = 5
After calculating the standard deviation will be:
σ = 11.2
Add 8 to each data value to get the new data set 14, 12, 16, 8, 6.
We can write,
14+8=22
12+8=20
16+8=24
8+8=16
6+8=14
Then,
New data set is ⇒ 22,20,24,16,14
New standard deviation:
σ(new) = 11.2
Since both sets of data have the same standard deviation, we can conclude that adding a constant to each data value has no effect on the standard deviation.
Adding the same constant c to each data value results in the standard deviation remaining the same.
Thus, the standard deviation of both the data are the same which is 11.2 and adding the same constant c to each data value results in the standard deviation remaining the same.
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ABCD is a quadrilateral
What is the slope of the line that passes through the points (2,-6) and (6,-12)
Write your answer in simplest form.
Answer:
the answer is -3/2
Step-by-step explanation:
-12-(-6) = -6
6-2=4
-6/4 simplified is -3/2
There are 64 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 23 cups?
Answer:
3 packages
Step-by-step explanation:
64/23 = 2 18/23, so 3 packages will be needed.
Alternately, 23 + 23 = 46, and 64 - 46 = 18.
So 2 packages will not be enough; 3 packages will do.
A colony of bacteria doubles in population every hour. Approximately how many hours will it take until the colony is 32
size?
Answer:23 hours
Step-by-step explanation:23 hours
Please Help I’m struggling
The inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.
The given inequality is -8 ≤ w < 2.
What is the solution set of inequality?The solution set of inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation.
a) The solution set the inequality -8 ≤ w < 2 is {-8, -7, -6, -5, -4, -3, -2, -1, 0, 1}
So, the solution sets from the options are w=-8, w=-5 and w=0.
b) The given equation is "a number n is greater than 0, and less than or equal to 8"
The inequality for the given statement is 0<n≤8.
Therefore, the inequality for the given statement is 0<n≤8 and the solution set the inequality -8 ≤ w < 2 are w=-8, w=-5 and w=0.
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please help quick!!!!!
The total cost for 4 tickets, 2 popcorns, and 1 bottled water is $46.25
How to find an equation to find the cost?
Here we know that:
Each ticket costs $9.75Popcorn costs $6.25Bottled water costs $4.75Then the cost of 4 tickets, 2 popcorns, and 1 bottled water is given by the expression:
4*$9.75 + 2*$6.25 + 1*$4.75
Solving this expression we will get that the total cost is:
C = 4*$9.75 + 2*$6.25 + 1*$4.75 = $46.25
We can conclude that the total cost for 4 tickets, 2 popcorns, and 1 bottled water is $46.25.
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if anyone could help me with this question I really thank you
Answer:
it would be C
Step-by-step explanation:
because youd multiply the weeks by the total money made per day and subtract it by the amount the bike costs to see if you made enough
Divide 64.5 by 0.015 leaving your answer in a standard form
Answer:
4300
Step-by-step explanation:
Polygon mnopq is dilated by a scale factor of 5.4 with point M as the center of dilation to form the image m’n’o’p’q compare no and n’o
N'O' does not pass through point M.
NO and N'O' both have the same slopes.
A closed polygonal chain made up of a finite number of straight line segments defines a polygon as a planar figure. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both. A polygonal circuit's segments are referred to as its edges or sides.
Every point will be 5.4 times farther away from point M after dilation by a factor of 5.4 around that point. (The only point that stays put is point M.) If a line didn't cross point M before the dilation, it won't cross point M after the dilation.
Point M is not traversed by segment N'O'.
Only the distances from the dilation center are altered by dilation. Angles or orientation are unaffected.
NO and N'O' both have the same slopes.
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.
A family wants to fence in a rectangular area for a garden. One side of the garden will
border their house and will not be fenced. Find the dimensions of the garden with greatest area that can be enclosed with 64 ft of fencing.
A) 16 ft by 16 ft
B) 32 ft by 32 ft
OC) 8 ft by 8 ft
OD) 16 ft by 32 ft
After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after xx hours can be modeled by the function f(x)=110(0.91)^{x}.f(x)=110(0.91)
x
. Find and interpret the given function values and determine an appropriate domain for the function.
The Domain is [0, ∞) and range is (0, ∞)
What is exponential function?An exponential function is a mathematical function of the following form: f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function.
Given:
After taking a dose of medication, the amount of medicine remaining in a person's bloodstream, in milligrams, after x hours can be modeled by the function
f(x)=110[tex](0.91)^{x}[/tex]
as, the general form of exponential function is
f(x)= [tex](ab)^{x}[/tex]
where a is the initial value, 0<b<1 is decay factor and b>1 is growth factor.
Now comparing with main function we have 110 is the initial value and 0.91 is the decay factor.
As, exponential function is defined for all real values of x but the time cannot be negative.
so, Domain: [0, ∞)
and, [tex](0.91)^{x}[/tex]>0
so, 110[tex](0.91)^{x}[/tex]>0
Then the range is (0, ∞)
Hence, the Domain: [0, ∞) and range is (0, ∞)
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Ruby has 20 oranges. If she eats 3/5 of them, how many does she have left.
Answer:
She has 12 oranges left
Step-by-step explanation:
convert 3/5 to a decimal
3÷5=0.6
then multiply that by 20
0.6*20=12
For the function
f
(
x
)
=
−
2
x
+
4
, evaluate and simplify the difference quotient.
the difference quotient for the given function is 2.
How to evaluate the difference quotient?For any function f(x), we define the difference quotient as:
( f(x + h) - f(x))/h
And we take the limit as h tends to zero.
Here our function is:
f(x) = 2x + 4
Replacing it in the difference quotient we get:
(2*(x + h) + 4 - 2x - 4)/h = ( 2x + 2h + 4 - 2x - 4)/h = 2h/h = 2
So we conclude that the difference quotient for the given function is 2.
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A profit of $86,250 was shared by the two partners of a business. If one partner received $13,000 more than the other, how much did each of them receive?
The amount of profit each of them received $49625 and $36625 respectively
How to find how much of profit each partner received?To solve the problem, we need to write a system of equations.
Let
x = amount of profit first partner received and y = amount of profit second partner received.Given that a profit of $86,250 was shared by the two partners of a business, we have that
x + y = 86,250 (1)
Also, since one partner received $13,000 more than the other, we have that
x - y = 13,000 (2)
We now solve for x and y in the system of equations
x + y = 86,250 (1)
x - y = 13,000 (2)
Adding equations (1) and (2), we have
x + y = 86,250 (1)
+
x - y = 13,000 (2)
2x = 99250
x = 99250/2
x = $49625
From equation (2) y = x - 13000
Substituting x into the equation, we have
y = x - 13000
= 49625 - 13000
= $36625
Since x = $49625 and y = $36625,
So, the amount of profit each of them received $49625 and $36625 respectively
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A city has a population of 350000 the population has decreased by 30% in the past ten years what was the population Of the city ten years ago. Show solving steps
Answer:
30% x 350000 + 105000
Step-by-step explanation:
30
100
(350000)
=(
30
100
)(
350000
1
)
=(
3
10
)(
350000
1
)
=
(3)(350000)
(10)(1)
=
1050000
10
=105000
Which explains why the graph is not a function?
The explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.
What makes a Graph a Function?A graph is a function when there are exactly one y-value for every x-value that is plotted on the graph.
This implies that, no single x-value can have two different y-values in a graph that represents a function. If there are two different y-values for a single x-value, then the graph is not a function.
In the graph given below, the x-value, 4, has two different y-values, -2 and 4. This makes the graph not a function.
Therefore, the explanation for the reason why the graph is not a function is: It is not a function because the graph has two different y-values for a single x-value.
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Answer:
Step-by-step explanation:
It is not a function because there are two different y-values for a single x-value.
Solve 9x-2y = 15 for y.
y= ?
(Use integers or fractions for any numbers in the expression.)
Answer:
[tex]\frac92x - \frac{15}2 = y[/tex]
Step-by-step explanation:
[tex]9x - 2y = 15 \text{ / Add 2y} \\9x - 2y + 2y = 15 + 2y \\\to 9x = 15 + 2y \text{ / Subtract 15} \\9x - 15 = 15 + 2y - 15 \\\to 9x - 15 = 2y \text{ / Divide by 2} \\\frac{9x - 15}2 = \frac{2y}2 \\ \\\frac92x - \frac{15}2 = y[/tex]
dogs to cats is 2:7 there are 90 animals how many are cats
[tex]cats = \frac{90}{2 + 7} \times 2 = 20 \: cats[/tex]
What is the inverse of conditional w=v
The inverse of the conditional statement w = v is the same as ~w = ~v
What is the inverse of a conditional statement?This is the term that is used to refer to the statement that is written in mathematics as well as in logic that tells us the negation of the hypothesis that has been made in a statement and the conclusion that has been made as well of that statement.
For instance when we say that it is snowing, the opposite would be it is not snowing.
Hence the way that we would be able to write the statement that we have here would be same as ~w = ~v
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Write an equation for the transformation of y=x
vertical compression by a factor of 1/11
The equation which results from the transformation of the equation given; y = x in the task content is; y = (1/11)x.
What is the resulting equation for the transformation given in the task content?It follows from the task content that the resulting equation from the transformation of the graph of y =x after a vertical compression by a factor of 1/11 as given in the task content is to be determined.
On this note, since the compression is vertical, the resulting vertical component is; (1/11)• y.
Hence, the resulting graph upon compression is; (1/11)• y.
Ultimately, the resulting graph upon the vertical compression is; y = (1/11) x.
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Easton broke a cell sample into 8 batches, each weighing 3.9 x 10^-5 grams. How
much did the original sample weigh? Use scientific notation to express your answer.
The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.
What is the weight of the original sample from which the eight batches were obtained?It follows from the task content that the weight of the original sample from which the eight batches were obtained be determined.
Hence, since each of the eight batches weighs;
3.9 × 10-⁵
Therefore, the weight of the original sample can be obtained as follows;
= 8 × 3.9 × 10-⁵
= 31.2 × 10-⁵.
However, when the weight is expressed in scientific notation, the weight of the original sample is;
3.12 × 10-⁴.
Ultimately, The weight of the original sample from which all eight batches which each weighed 3.9 × 10-⁵ are obtained as required in the task content is; 3.12 × 10-⁴.
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what is -1/3+1/14 then simplified
Answer:
-1/12
Step-by-step explanation:
-⅓ + ¼
= (-4 + 3)/12
= -1/12
A motorboat can maintain a constant speed of 48 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 19 minutes; the return trip takes 13 minutes. What is the speed of the current?
The speed of the current will be 8.89 miles per hour.
Given that,
The constant speed of motorboat = x = 48 miles per hour
And,
The Time taken by boat to make the upstream trip = 19/60 hour
And,
The Time taken by boat to make the return trip = 13/60 hour
Now,
According to the question,
Let,
The speed of the current = y miles per hour
And,
The total distance covered = z miles
And,
We know that,
Speed = Distance/Time
So,
For the upstream trip,
x - y = z/(19/60),
So,
z = (x-y) * (19/60) .....(i)
And,
For downstream trip
x + y = z/(13/60)
So,
z = (x + y) * (13/60) .....(ii)
From equations (i) and (ii),
We get,
(x - y) * (19/60) = (x + y) * (13/60)
i.e.
(48 - y) * (0.32) = (48 + y) * (0.22)
On solving we get,
15.36 - 0.32y = 10.56 + 0.22y
We get,
0.54y = 4.8
y = 4.8/0.54 = 8.89 miles per hour
So,
The speed of current = 8.89 miles per hour
Hence we can say that the speed of the current will be 8.89 miles per hour.
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