Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answers
Answer:
120 ways
Step-by-step explanation:
Since no girl wil sit either first or last
Hence, in all irrespective whether boy or girl = (6 - 1)! = 5! = 5 X 4 X 3 X 2 = 120
∴ Number of arrangements = 120 ways
Answer:
288
Step-by-step explanation:
Dont have time to say anything, in a test, but trust me. I got it correct.
Related Questions
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
Answers
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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PLEASE HELP!!!
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.
Time (seconds)- 4 8 12 16 20 24
Hot chocolate amount (fluid ounces)- 4 5.5 7 9 12 15
Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?
Answers
The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot
What is a Line Plot?
A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.
A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.
With this type of Table, the top is always X and the bottom is always Y.
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In Exercises 13 and 14, determine whether the situation shows direct variation.
Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.
Answers
Answer:
tbh choose the biggest number
Step-by-step explanation:
2) Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If
she spent a total of $21, then how many games did Shakira bowl?
Equation?
Answers
$18/$4.75= 3.78 games??
so 4 cuz u can’t have 3.78 games?
Which fractions are equal to 0.6
1 over 6,60 over 100,1 over 60,6 over 10
Answers
Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?
Answers
Answer:
Yes
Step-by-step explanation:
This is becuase 46 x 1.06= 48.76, thats less than $50.
Answer:
yes
Step-by-step explanation:
tax will be $2.76 therefore it will come up to $48.76
!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answers
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
Question *
Every visitor in a public library has to either choose a book or use a computer,
70% of these visitors use the computer. Out of those who use the computer, 45%
do a research. Out of the visitors who choose a book, 80% do a research. We
meet, at random, one of the visitors in this library. If the visitor did a research, the
probability that he used the computer is:
0.4324
0.5675
None of these
0.8651
Answers
Using conditional probability, it is found that there is a 0.5675 = 56.75% probability that he used the computer.
Conditional Probability
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened. \(P(A \cap B)\) is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Did a research.Event B: Used a computer.For making a research, there are two cases:
45% of 70%(using a computer).80% of 100 - 70 = 30%(using a book).Then:
\(P(A) = 0.45(0.70) + 0.8(0.30) = 0.555\)
The probability of doing a research and using a computer is 45% of 70%, thus:
\(P(A \cap B) = 0.45(0.7)\)
Then, the conditional probability is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.45(0.7)}{0.555} = 0.5675\)
0.5675 = 56.75% probability that he used the computer.
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plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Answers
Answer:
248
Step-by-step explanation:
I'm not completely sure but hope this helps
Answer:
220 cm²
Step-by-step explanation:
area of rectangle:
Length * Width
18 * 11
198 cm²
Triangle area:
1/2 * base * height
1/2 * (18-7)(15-11)
1/2 * 11 * 4
22 cm²
So total area: 198 cm² + 22 cm² = 220 cm²
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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50 POINTS!!!! I ALSO GIVE BRAINLIEST, BUT YOU HAVE TO ANSWER QUICK Choose the correct graph of the given system of equations. A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Answers
Answer:
D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Step-by-step explanation:
Correct answer is in bold. Incorrect answer have the mistakes put between stars *** ***.
50 POINTS!!!! I ALSO GIVE BRAINLIEST, BUT YOU HAVE TO ANSWER QUICK Choose the correct graph of the given system of equations. A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically?
A. On a graph, plot the line y = −x + 1, which has y-intercept = ***−1*** and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
B. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = ***1***, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution.
C. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = ***−2*** and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
D. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Solve for d.
4 + 20 = 8
d =
Answers
\(4 + 20 = 8d \\ \\ 8d = 24 \\ \\ d = \frac{24}{8} \\ \\ d = 3.\)
The value of d is 3 .
In order to increase customer service, a muffler repair shop claims its mechanics can replace a muffler in 13 minutes. A time management specialist selected six repair jobs and found their mean time to be 12.3 minutes. The standard deviation of the sample was 2.3 minutes. At α=0.05, is there enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes?
Answers
There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:
Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.
Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.
Use the formula to calculate the test statistic,
\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)
where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).
Plugging in the numbers, we get:
t = (12.3 - 13) / (2.3 / √6) = -0.72
Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.
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Baa Baa, the black sheep, had 7 pounds of wool. If he separated the wool equally into 3
bags, how much wool would be in each bag?
Answers
Answer:
2.5
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 3 on the left side and the dividend 7 on the right side like this:
3 ⟌ 7
Step 2:
The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:
2
3 ⟌ 7
Step 3:
Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.
2
3 ⟌ 7
6
Step 4:
Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.
2
3 ⟌ 7
- 6
1
You are done.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 7 divided by 3 calculated using Long Division is:
Solve using the correct order of
operations.
P
E
MD
AS
15-(4-3) 2= [?]
Enter
Help
Answers
Here using the correct order of operations that is PEMDAS, we get the value to be 13.
Define PEMDAS?PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.
The letters stand for:
P stands for parentheses.
Exponents are shown as E.
D stands for division.
The letter M stands for multiplication.
A stand for addition.
S stands for subtraction.
Now in the given question,
15 - (4-3)2
First the parentheses
15 - (1)2
Next is exponents.
15 - 2
At last, after subtracting, we get:
13
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A bank offers a CD that pays a simple interest rate of 7.0%. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 5 years.
The present value that must be invested to get $4500 after 5 years at an interest rate of 7.0% is $__ (Round up to the nearest cent.)
Answers
Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.
To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:
Present Value = Future Value / (1 + (Interest Rate × Time))
In this case:
Future Value = $4500
Interest Rate = 7.0%
= 0.07
Time = 5 years
Substituting these values into the formula:
Present Value = $4500 / (1 + (0.07 × 5))
Present Value = $4500 / (1 + 0.35)
Present Value = $4500 / 1.35
Present Value ≈ $3333.33
You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:
Future Value / (1 + (Interest Rate Time)) = Present Value
In this instance
$4500 is the future value.
Rate of Interest = 7.0% = 0.07
t = 5 years
Substituting these values into the formula:
$4500 / (1 + (0.07 5)) = Present Value
$4500 / (1 + 0.35) equals the present value.
Present Value = $4500 / 1.35
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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33
How to find the present value that must be invested to get $4500 after 5 yearsUsing the formula for calculating the future value of a single sum:
Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)
We rearrange the formula to solve for the present value (PV):
PV = FV / (1 + Interest Rate * Time)
Plugging in the given values:
FV = $4500
Interest Rate = 7.0% = 0.07
Time = 5 years
PV = $4500 / (1 + 0.07 * 5)
PV = $4500 / (1 + 0.35)
PV = $4500 / 1.35
PV ≈ $3333.33
Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).
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Someone pls help me with this
Answers
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH
Answers
You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second, 64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.
What is law of conservation of energy?Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.
Given that,
Height of the cliff, h= 55 Foot
Initial speed of the projectile, u = 85 m/s
Let, the projectile hit the ground with velocity "v"
Applying the law of conservation of energy,
mgh + 1/2 mu² = 1/2 mv²
or, m (gh + 1/2 u²) = 1/2 mv²
or, (gh + 1/2 u²) = 1/2 v²
or, 10 × 55 + (1/2 × (55)²) = 1/2 v²
or, 550 + 1512.5 = 1/2 v²
or, 2062.5 = 1/2 v²
or, 4125 = v²
or, v = 64.23 feet/second
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A spectrophotometer used for measuring CO concentration [ppm (parts per million) by volume] is checked for accuracy by taking readings on a manufactured gas (called span gas) in which the CO concentration is very precisely controlled at 70 ppm. If the readings suggest that the spectrophotometer is not working properly, it will have to be recalibrated. Assume that if it is properly calibrated, measured concentration for span gas samples is normally distributed. On the basis of the six readings - 85, 77, 82, 68, 72 and 69 - is recalibration necessary? Carry out a test of the relevant hypotheses and report the P-value.
Answers
The p value is calculated as 0.116
How to solve for the p valueNull u = 70
alternate u ≠ 70
The alternate is a two tailed test
the test statistic calculation
t = x - u / s/√n
x = 85 + 77 + 82 + 68 + 72 + 69 / 6
= 75.5
standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)
= 7.01
Test stat = (75.5 - 70) / 7.01/√6
= 1.92
degree of freedom = 6 - 1 = 5
this is 2 tailed
p value using excel = tdist( 1.8, 5 , 2)
= 0.116
We fail to reject the null hypothesis because it is greater than the level of significance
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A bag contains 9 red, 7 blue, and 4 yellow marbles. If a marble is chosen at random from the bag, what is the probability that it is NOT yellow? (in fraction form) A) 1 5 B) 1 3 C) 3 5 Eliminate D) 4 5
Answers
Answer:
D
Step-by-step explanation:
if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.
Simplify this expression. Enter your answers in the boxes.
8.9 – 1.4x + (–6.5x) + 3.4
Answers
Answer:
12.3-7.9x
Step-by-step explanation:
8.9+3.4=12.3
-1.4x+(-6.5x)=-7.9x
Answer:
-7.9x+12.3
Step-by-step explanation:
8.9 – 1.4x + (–6.5x) + 3.4
Combine like terms
– 1.4x + (–6.5x) + 3.4+8.9
-7.9x +12.3
-7.9x+12.3
When Alana was born, her grandma put $1000 into a money market account that earns 9% interest each year. How much will be in the account when Alana is 21?
Answers
The amount that would be in the account when Alana is 21 is $2890
How to determine the valueWe have to know the formula for simple interest.
This is expressed as;
S.I = PRT/100
Given that the parameters of the formula are enumerated as;
SI is the simple interestP is the principal amountR is the interest rateT is the time takenFrom the information given, substitute the values, we have;
SI = 1000 × 9 × 21/100
Multiply the values,
Then, divide by the denominator, we have;
SI = $1890
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44% of the group were rested. The group numbered 76. How many were rested?
Answers
Rested numbers in group is 33 out of 76.
What is a percentage?A percentage is expressed as a number or ratio that can be expressed as fraction of 100. It is denoted by % symbol.
Total numbers in a group = 76.
44% of them were rested.
That is 44% of 76.
To find how many are rested we have to find the value in numbers.
Convert 44% of 76 to numbers.
For this, it can be written as
\(\frac{44}{100} *76\) = 33.44
Therefore 44% of 76 ≅ 33 numbers.(approximately)
Hence, rested numbers in group is 33.
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. Melinda was planting a flower bed in the shape of a rectangle. The length of the flower bed was 8 feet and the width was 7 feet. What was the area of the flower bed?
Answers
7*8=56 feet
what is inequalities
Answers
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.
The most common symbols used in inequalities are:
">" (greater than): indicates that the value on the left side is larger than the value on the right side.
"<" (less than): indicates that the value on the left side is smaller than the value on the right side.
"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.
"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.
"≠" (not equal to): indicates that the values on both sides are not equal.
Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.
Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.
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Can someone help me with 14 and a few others I need help ):
Answers
Answer:
26, -0.85, 17
Step-by-step explanation:
hi! so for 14, you can plug in -11 for every x in the equation.
f(-11)= 15-(-11)
=15+11
=26
your answer is 26.
for 15, we can plug in 0.3 for x.
g(0.3)=-2.5(0.3)-0.1
= -0.75-0.1
= -0.85
your answer is -0.85.
for 16, you can plug in -17 for x.
f(-17)= -(-17)
=17
your answer is 17.
Answer:
14: 26
15: -8.5
16: 17
Step-by-step explanation:
The f(x) basically gives you what x is, as the inside of parenthesis means the value of x. You then can plug in x into the equation for each of the equations. Whenever you get something like 24- (-42) The negatives cancel out and you add the two values together instead.
Hope this helps!
three workers produce 1500 cans in 4 days. how many days can four workers produce 4000 cans?
Answers
Answer:
8 days
Step-by-step explanation:
PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?
Answers
Answer:
The probability that one marble drawn at random is not blue is 70%
Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?
Answers
Answer:
65 cents
Step-by-step explanation:
5 + 1 + .30 = 6.30
6.95 - 6.30 = .65
4. In 2018, Apple's net worth was $945 billion. What does that mean?
How much the company pays its' employees.
How much debt the company has.
The money the company wants to make one day.
The value of the company.
Answers
Therefore , the solution of the given problem of unitary method comes out to be Option '' value of money" is correct.
What is an unitary method?To accomplish the task, one may use this generally accepted ease, preexisting variables, as well as any significant components from the original Diocesan customizable query. If so, there might be an opportunity to interact with the item once more. Otherwise, every significant factor that affects how algorithmic evidence behaves will be gone.
Here,
The phrase "In 2018, Apple's net worth was $945 billion" refers to the company's valuation in that particular year.
So, the appropriate choice is:
the company's market worth.
Option : '' value of money" is correct.
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