Answer:
4.55
Step-by-step explanation:
AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.
My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.
As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:
PLEASE HELP ASAP!!! URGENT
Verify the identity. Sinx/1-cosx = cscx+cotx
Please use the answers shown in the image !! Thank you !!
Answer:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]
Step-by-step explanation:
Now we proceed to show all steps needed to demonstrate the trigonometric identity:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex] [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex] Fundamental trigonometric identity.
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex] Factorization.
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.
ASAP PLEASE HELP!!! Given the cylinder with the given dimensions, match the measures of the radius, circumference, and area of the base.
Answer:
Radius of cylinder = 4.5 inch
Circumference of Base = 9π inch
Area of base = 20.25π
Step-by-step explanation:
Given:
Diameter of cylinder = 9 inch
Height of cylinder = 22 inch
Find:
Radius of cylinder
Circumference of Base
Area of base
Computation:
Radius of cylinder = Diameter of cylinder / 2
Radius of cylinder = 9 / 2
Radius of cylinder = 4.5 inch
Circumference of Base = 2πr
Circumference of Base = 2π(4.5)
Circumference of Base = 9π inch
Area of base = πr²
Area of base = π(4.5)²
Area of base = 20.25π
Which of the following would increase if the professional football players were removed from the data set?
Answer:
the standard deviation of the residuals
Step-by-step explanation:
The removal of the professional football players will cause the correlation, and consequently r2 to become closer to 0 due to the fact that the high school athletes tend to show no association between the number of energy drinks consumed and the number of pull ups that can be done. The slope of the regression line will also be nearly 0 without the professional football players. The standard deviation of the residuals, however, will increase without the presence of the professional football players because the remaining scatter about the new regression line will be greater due to the loss of the 4 professional football players which all had small residuals.
The option that will increase if the football players were removed from the data set is the standard deviation of the residuals
What is standard deviation?It should be noted that standard deviation simply means the difference between the observed data and the predicted values.
In this case, the standard deviation of the residual will increase if the football players were removed from the data set as the removal of the professional football players will cause the correlation.
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Select the correct answer.
Which statement correctly compares the graph of function g with the graph of function ??
FE) = e²-
g(x) = ² - 4
O A.
OB.
O C.
O D.
The graph of function g is a horizontal shift of the graph of function to the right.
The graph of function g is a vertical stretch of the graph of function f.
The graph of function g is a vertical compression of the graph of function f.
The graph of function g is a horizontal shift of the graph of function f to the left.
Reset
Next
A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
When the parent function [tex]f(x) = e^x -4[/tex] is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;
g(x) = kf(x)
g(x) = 1/2f(x)
[tex]g(x) = \frac{1}{2} e^x -4[/tex]
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Inequality question PLEASE HELP
Answer:
40x4x<60
x<5
Step-by-step explanation:
40x4x<60
4x<60-40
4x<20
x<20÷4
x<5
What is the length of a rectangle if its width is 7 feet and its area is 84 square feet?
Answer: The length is 12 feet.
Step-by-step explanation:
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
Select the correct answer.
Which of these is a non-real complex number?
OA. 5/17 - 21/4
B.
9 + 375
2
OC. 2 - 0
OD. +
/
Dorot
Answer:
OD
Step-by-step explanation:
because it gives us error and there's no number
The correct option is (D) .
Which is a non-real complex number?Nonreal complex numbers include pure imaginary numbers and those with a and b values of zero, such as 7 + 2i.A non-real or imaginary number is the name given to the square root of a negative number. For instance, the numbers 1, 28, and 5 are all imaginary numbers.Complex numbers cannot be plotted on the actual number line because they contain imaginary numbers. On the complex number plane, which has a y axis (for the imaginary number) and an x axis (for the real number), they can, however, be measured starting from zero (for the imaginary number).In all these options , they are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .
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The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be, to the nearest individual?
pleasee help me i will give you brainliest
Answer:
40
Step-by-step explanation:
6=110 1=40 because it's not gonna be a higher character
k/4 +3=14 What is the answer to this question?
Answer:
k=44
Step-by-step explanation:
The overnight temperature in Tampa never
reached below 40°F during November.
Which inequality shows that?
A x < 40
B x> 40
© x= 40
DX > 40
Truman puts money into his savings
Answer:
Step-by-step explanation: C is the answer
Carissa folds 32 TShirts in 8 minutes. How many TShirts can she fold in 20 minutes?
Answer:
5
Step-by-step explanation:
Answer:
80 TShirts in 20 minutes
Step-by-step explanation:
32/8 = 4 Tshirts in a minute
4 x 20 = 80 TShirts in 20 minutes
The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?
A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
Answer:
E
Step-by-step explanation:
The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?
The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Pictures in order !
Answer:
Step-by-step explanation:
2XV=WY
2(2x+4)=7x-1
4x+8=7x-1
3x=9
x=3
XV=2x+4=10
WY=7x-1=20
this is new information to me
9. Solve 6/7 divided by 36/56 and put answer in simplest form.
A. 2/8
B. 8/6
C.4/3
D. 6/8
Answer: C
Step-by-step explanation:
Fraction division rule: 6 * 56 / 7 * 36
Then divide the numbers: 6 * 8 / 36
Cancel the numbers 6/36 = 1/6
That leaves us with 8/6
Then simplify by dividing by the common factor
8/2 = 4
6/2 = 3
Answer: 4/3
How do you add
2 2/3 + 6/7
Answer:
3 11/21
Step-by-step explanation:
2 2/3=(2*3+2)/3=8/3
8/3+6/7=56/21+18/21=74/21 or 3 11/21
What is the sum of one sixth and thrice of n
Answer:
9
Step-by-step explanation:
6+3 is 9
Answer:
what do you mean by thrice of n?
Step-by-step explanation:
Wouldn't we need to know what n equals?
what is maintenance culture
Answer:
ways of thinking,behaviour,perciption
increase R700 in the Ratio 3:2
Step-by-step explanation:
³93521586335445555554555554488807799654
The product of 1 1/2 and 2 is less than, equal to, or greater than 2
Answer:
The answer is 1 1/2 < 2
Step-by-step explanation:
If we convert 1/2 into a decimal, we would get .5. Add that to 1 and we get 1.5. Therfore, 2 > 1.5
Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.
Answer: Jessica can use her measuring cup 11 times.
(hope this helps!)
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Hi it's down below! Hope it helps
Step-by-step explanation:
1) The angles are Supplementary
This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3. The angle above angle"5x+3" is the same as 7x+9.
2) They are both supplementary
They form 180°
3)180° = 12x+12°
4) Solving that:
180° - 12° = 12x
168° = 12x
x = 168°/12
x = 14°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
the answer is 14°
Step-by-step explanation:
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Explain how you would graph the inequality: 3 ≤ x
Given : Explain how you would graph the inequality: 3 ≤ x .
Solution : Graph in attachment .
Answer:
When you are graphing the equation the line, theline on the graph is going to be vertical. Your line point will be ( 3, 0 ). Then there will be a shaded part of the graph on the right on of the line.
Calculate the finance charge for a credit card that has an average daily balance of Php5,600 and a monthly interest rate of 1.35 %
Answer:The simplest way to calculate a finance charge is: balance X monthly rate
Step-by-step explanation:
i thinkk
500 X .015 = $7.50
The finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.
What is the finance charge?The finance charge is the product of an average daily balance to the monthly interest rate.
finance charge = balance x monthly rate
The simplest way to calculate a finance charge = balance x monthly rate
= 5,600 x 0.0135
= $75.6
Thus, the finance charge for a credit card that has an average daily balance of 5,600 and a monthly interest rate of 1.35 % is $75.6.
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Help please is for now
Answer:
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier
Step-by-step explanation:
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.Step-by-step explanation:
How many digits are in 385,604 ?
Answer:
6
Step-by-step explanation:
because 385,604 there is 6 digits