__________
[tex] \: [/tex]
[tex]( \frac{1}{9} ) {}^{a + 1} = {27}^{2 - a} [/tex]
[tex]( {3}^{ - 2} ) {}^{a + 1} = ( {3}^{3} ) {}^{2 - a} [/tex]
[tex] \cancel{ {3}}^{ - 2a - 2} = \cancel{{3}}^{6 - 3a} [/tex]
-2a - 2 = 6 - 3a
-2a + 3a = 6 + 2
a = 8✔
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)
Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44
Player's bet number = $5 Bet amount = $2 Winning = $2 × $5 = $10Probability that wheel stops on $5:
Probability = required outcome / Total possible outcomesP(stops on $5) = 7/54 =
Hence, probability of not winning = 1 - 7/54 = 47/54
X :____ - 2 _____ 10
P(X) : _ 47/54 ___ 7/54
Expectation or Expected value :
E(X) = (-2 × 7/54) + (10 × 47/54)
E(X) = $8.44
Therefore, the player's expectation is $8.44
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An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
9514 1404 393
Answer:
189
Step-by-step explanation:
The difference between the ratio units is 8 -1 = 7.
The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.
The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.
__
That was 168 child tickets and 21 adult tickets.
The tickets for a figure skating performance sold out in 4 hours. If there were 40,000 tickets sold, solve the equation 40,000−4x=0 to find the number of tickets sold per hour.
Answer: look it up
Step-by-step explanation:
solve this i dont know how to graph it pls tell
ASAP and i will give brainliest
Answer:
straight line through (0,4) and (2,0), shade everything above it
Step-by-step explanation:
First solve the equality, which will give you a straight line.
Then check if the inequality (the > sign) means you have to shade the area above or below it.
2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.
Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.
Plot these two points and draw a line through them.
Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.
Can someone help me understand this and give me the answer?
There are 18 students in sir Sam 4th PE class. Each student will be given 2 1/2 minutes to explain how to solve his word problem with fractions. How long it will take for all 18 students to explain their answers? (Show solutions)
Answer:
44
Step-by-step explanation:
18 * 2.5 = 44
Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.
0.993
0.007
0.05
0.018
0.004
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:
[tex]H_0: \mu \leq 220000[/tex]
At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:
[tex]H_1: \mu > 220000[/tex].
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem:
[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]
Then, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]
[tex]t = 2.69[/tex]
We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.
Using a t-distribution calculator, the p-value of the test is of 0.007.
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Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).
9514 1404 393
Answer:
(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independentStep-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
The product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is
Product of roots
[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]
[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]
Find the quotient when (21x2 -52x + 32) is divided by (7x - 8).
1:3x + 3
2:3x + 4
3:3x + 2
4:3x - 4
Answer:
4:3x-4
Step-by-step explanation:
If 6 spiders can spin 6 webs in 6 minutes how long will it take 100 spiders to spin 200 webs
Answer:
200 minutes
Step-by-step explanation:
if six spiders can spin 6 webs in 6 min then 100 spiders can spin 100 webs in 100 min then multipy by 2 and you get 200
The amount of time that 100 spiders can spin 200 webs will be 12 minutes.
What is Algebra?Algebra is the study of graphic formulas, while logic is the manipulation of those signs.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
If 6 spiders can spin 6 webs in 6 minutes. Then the 1 spider can sin one web in six minutes. So, the 100 spiders can spin 100 webs in 6 minutes.
Then the 100 spiders can spin 200 webs in 12 minutes.
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Cual es el ángulo que equivale a 4 ángulos rectos?
ayus lng ako hahaha hshshs
A parking pass is $60 for a month or $5 for a day. At what point would it make more sense to purchase the monthly pass?
Which equation matches the graph?
Answer:
Option C): f(x) = 3x - 4.
Step-by-step Explanation:
What is a Linear Function in Slope-intercept Form?A linear function in slope-intercept form is given by f(x) = mx + b where:
"m" represents the slope, which is the measure of steepness and orientation of a nonvertical line. "b" represents the y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where the line intersects the y-axis. It is also the point where the x-coordinate equals to zero.How to solve for the slope?We can solve for the slope by using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]
Choose two points from the graph and substitute their values into the slope formula.
(x₁, y₁) = (2, 2)(x₂, y₂) = (0,-4)[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]
Therefore, the slope of the line is 3.
How to find the y-intercept (b)?As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis. We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.
Finding the y-intercept algebraically.Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.
We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.
(x₁, y₁) = (2, 2)Slope (m ) = 3f(x) = mx + b
⇒ 2 = 3(2) + b
⇒ 2 = 6 + b
⇒ 2 - 6 = 6 - 6 + b
⇒ -4 = 0 + b
⇒ - 4 = b
Hence, the value of the y-intercept is: b = 4.
Final Answer:Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.
__________________________Keywords:Linear functions
Linear equations
Slope-intercept form
_______________________________
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Answer:
f(x)=3x-4
Step-by-step explanation:
Given that the function graphed is ƒ(x), what is ƒ(1)?
A) −2
B) −1
C) 1
D) 2
Answer: -2
Step-by-step explanation:
Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?
Answer:
14 batches
Step-by-step explanation:
take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17
85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17
so 14 full batches
A plumber has a fixed call out rate of $80 and has an hourly rate of $60
Answer:
do FYI kkkkkkjjj ghost oh go j
The expression for the total cost will be y = 80 + 60x.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a plumber has a fixed call-out rate of $80 and an hourly rate of $60.
The expression will be formed by assuming the hourly rate to be x dollars. The expression will be written as below:-
y = 80 + 60x
Here y is the total cost 80 is the fixed cost and x is the hourly rate.
Therefore, the expression for the total cost will be y = 80 + 60x.
The complete question is given below:-
A plumber has a fixed call-out rate of $80 and an hourly rate of $60. Write an expression for the total cost.
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8-2n+3p has how many coefficients and how many variables??
PLEASE HELP ASAP
Answer:
2 coefficients
Step-by-step explanation:
2n,3p Are your Coefficients because they have variables
Step-by-step explanation:
-2 and 3 are coefficients while n and p are the variables
Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14
Answer:
i think it is like this. < means less than
Step-by-step explanation:
let x be a and let y be any number less than 14.
a + 5 < 14
a + 5 < 14
a + 5-5 < 14-5
a + 0 < 9
a < 9
What is the median number of this data set 15,33,51,75,51?
Answer:
51
Step-by-step explanation:
1. The median of a data set is the quantity that's in the middle of the data points. Before looking what number is in the middle, you have to order them from least to greatest.
15, 33, 51, 51, 752. Now, when crossing from left to right then left to right again, you end up with 51 in the middle.
Therefore, the median number is 51.
solve pls brainliest
Answer:
Step-by-step explanation:
3.92,
without using a calculator or mathematical table sove 187²-87²
fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?
If y varies directly with x and y = 6 when x = 2, what is the constant of variation, k? a. 12 c. 3 b. 2 d. 4 Please select the best answer from the choices provided A B C D
solve pls brainliest
Answer:
17.8 is the answer
Step-by-step explanation:
89/5 (the improper fraction of 17 4/5) divided is 17.8
Answer:
first method :
⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)
17 + 0.8 = 17.8
(this is the easiest method of doing this)
second method :
(17 × 5 + 4)/5
= 89/5
and dividing this u get 17.8
(but this is a lengthy method, as it will take time to devide)
Step-by-step explanation:
brainliest plz
I have to write something here to send a question)
Answer:
how many children do you have?
Step-by-step explanation:
you said ask a question
Find the range of the data set : -5, -6, -1, -3, 6, 10
Work Shown:
range = max - min = 10 - (-6) = 10 + 6 = 16
The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.
Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?
Answer:
5:15 or 1:3
Step-by-step explanation:
Answer:
1 : 3
Step-by-step explanation:
Number of bananas = 5
Total fruits = 15 (3 + 5 + 7)
Ratio = 5 : 15
Simplified form = 1 : 3
What is the length of the diagonal of the square shown below? 5 45° 5 5 90° 5 O A. 5
B. 10
C. 5
D. 5/5
E. 5.2
F. 25
The length of the diagonal of the square is d = 5√2.
Given that, the measure of the side of the square is 5.
We need to find the length of the diagonal of the square.
How to find the length of the diagonal of the square?The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.
Now, d = 5√2
Therefore, the length of the diagonal of the square is d = 5√2.
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help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes