Answer:
Yes
Step-by-step explanation:
Both equations equal 18.6. Just plug in 2.4 for a to check
Simplify
4a + 5b – 3b + a
2 marks)
Answer:
5a+2b
Step-by-step explanation:
4a + 5b – 3b + a
Combine like terms
4a +a + 5b-3b
5a+2b
are angles 1 and 4 vertical?
Answer:
vertical 5
Step-by-step explanation:
In the game of roulette, a player can place a $ bet on the number and have a probability of winning. If the metal ball lands on , the player gets to keep the $ paid to play the game and the player is awarded an additional $. Otherwise, the player is awarded nothing and the casino takes the player's $. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The expected amount to be lost is 0.5263 cents per game
b
The expected amount to be lost is
[tex]P = \$ 526 .3 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of winning is [tex]p = \frac{1}{38} = 0.0263[/tex]
Generally the probability of losing is mathematically evaluated as
[tex]q = 1-p [/tex]
=> [tex]q = 1-0.0263 [/tex]
=> [tex]q = 0.9737[/tex]
Generally the expected value is mathematically represented as
[tex]E(X) = \sum x_i * P(x_i)[/tex]
Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable ) are outcomes of the player winning and the player losing
So
[tex]E(X) = x_1 * P(x_1) + x_2 * P(x_2) [/tex]
Now the outcome of winning is making $350 so
[tex]x_1 = \$ 350[/tex]
the outcome of losing is losing $10 so
[tex]x_2 = - \$10[/tex]
So
[tex]E(X) = 350* 0.0263 -10 * 0.9737 [/tex]
[tex]E(X) = -0.5263 [/tex]
hence the expected amount to be lost is 0.5263 cents per game
If you played the game 1000 times, the amount that is expected to be lost is
[tex]P = 1000 * -0.5263[/tex]
=> [tex]P = -\$ 526 .3 [/tex]
Hence the expected amount to be lost is
[tex]P = \$ 526 .3 [/tex]
Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below:
7/8 + 3 5/6= Put your answer in the comments
Answer:
4 17/24
Step-by-step explanation:
7/8 + 3 5/6
= 7/8 + 23/6
= 21/24 + 92/24
= 113/24
= 4 17/24
*BRAINLIEST* Factor the expression given below. y^3 - 216
Answer: -216 + y³
...............................
The larger of two numbers is one more than four times the smaller number . If the sum of the numbers is 61, find the numbers.
Step-by-step explanation:
Let the smaller number be x.
So, according to Question,
the larger number will be 1+4x.
Now, sum of the numbers is 61, like this:-
[tex]1 + 4x + x = 61[/tex]
[tex]5x = 61 - 1[/tex]
[tex]5x = 60[/tex]
[tex]\tt{x = \dfrac{60}{5}}[/tex]
[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.
Hope it helps :)
25 points for grabs!
I have 1 bag of marbles. I put in 3 extra marbles. There are now 9 marbles in the bag. How many were in the bag to begin with?
Look I very obviously know that the answer is 6, however I would like the working out and just an explanation on how to do it. Please and thank you <3
Answer:
6 marblesStep-by-step explanation:
Let the initial number of marbles be x
Then added 3 and got 9 as final number
Equation for this and solution
x + 3 = 9x = 9 - 3x = 6Multiply
g(x) = x2 + 3x
h(x) = 2x - 2
Find (g* h)(2)
Answer:
10
Step-by-step explanation:
At first, (goh)(x)= g{h(x)}
= g{2x-2}
={2x-2}^2 +3x
[tex] = 4 {x}^{2} - 8x + 4 + 3x \\ = 4 {x}^{2} - 5x + 4 \\ then \: \:(goh)(2) = 4 \times {2}^{2} - 5 \times 2 + 4 \\ = 16 - 10 + 4 \\ = 10[/tex]
hope u got it.....
This table shows the ratio of apples to oranges. A 2-column table has 3 rows. Column 1 is labeled Apples with entries 6, 9, 12. Column 2 is labeled Oranges with entries 10, 15, question mark. Find the missing value in the table of equivalent ratios.
Given:
This table shows the ratio of apples to oranges.
Apples Oranges
6 10
9 15
12 ?
To find:
The missing value in the table of equivalent ratios.
Solution:
Let the missing value be x.
The ratios of apple and oranges are equivalent. So,
[tex]\dfrac{6}{10}=\dfrac{9}{15}=\dfrac{12}{x}[/tex]
[tex]\dfrac{3}{5}=\dfrac{3}{5}=\dfrac{12}{x}[/tex]
[tex]\dfrac{3}{5}=\dfrac{12}{x}[/tex]
On cross multiplication, we get
[tex]3\times x=12\times 5[/tex]
[tex]3x=60[/tex]
Divide both sides by 3.
[tex]x=20[/tex]
Therefore, the missing value is 20.
Answer:
20
Step-by-step explanation:
hope it helps
1.) x – 12.06 = -9.4
plz help
PLS ANSWER THE QUESTION QUICK
how to simplify -2n + 11 + 6n
Answer:
4n+11
Step-by-step explanation:
-2n+6n=4n
Hope this helps! :)
Answer:
4n+11
Step-by-step explanation:
Move the variables together
-2n+6n+11
4n+11
graph the line 8x + 2y =16
Answer:
use Desmos its a graphing calculator
Step-by-step explanation:
Write the product as a power:
(a–b) (a–b)
Answer:
(a - b)²
Step-by-step explanation:
We are given 2 (a - b) terms.
We can rewrite this as (a - b)².
Kyle invested $15,000 in a savings account. If the annual interest rate is 5%, how much will be in the account in 10 years for quarterly compounding?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer
Answer:
The correct answer is 24654.29
Step-by-step explanation:
Identify the values of each variable in the formulas. Remember to express the percent as a decimal.
For quarterly compounding, n=4. There are 4 quarters in a year.
Substitute the values in the formula.
A=15,000(1+0.054)4⋅10
Compute the amount. Be careful to consider the order of operations as you enter the expression into your calculator.
A=$24,654.29
Five times the sum of a number and eight is thirty. Find the number.
Answer:
x = -2
Step-by-step explanation:
Let x be the number:
5(x + 8) = 30Apply the distributed property, so it now looks like this: 5x + 40 = 30Subtract 40 from each side, so it now looks like this: 5x = -10Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = -2I hope this helps!
what is 13839x8468=?
Answer:
117188652
Step-by-step explanation:
Answer:
117,188,652
Step-by-step explanation:
Hope this helps!! And good luck!
what is the equation of the line that passes through (-1,-4) and (9,-5) ?
Answer:
y=-1/10 x - 41/10
Step-by-step explanation:
slope: y2-y1 / x2-x1 = -5-(-4) / 9-(-1) = -1/10
y= -1/10 x +b, substitute (-1,-4) to solve b
-4=-1/10 (-1) +b
b=-41/10
Borrowed $250
Loan type: single payment
Interest rate: 12%
time of loan: 2mo
amount to repay ___
Answer:
Total interest paid:
$83.73
Total payments:
$333.73
6th grade math I mark as brainliest
Answer:
C. 8,034
Step-by-step explanation:
26 x 309 = 8,034
-(-(-(0.75))) =
a. -3/4
b. 3/4
c. -4/3
d. 4/3
HELPPPPPP ILL GIVE YOU BRAINLIEST.
Answer:
1- Add 15 to both sides
2- 3x - 15 = 27
3- Already answered
4- 3x = 42
5- Divide both sides by 3
x = 14
Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA?
∠CBA
∠CBE
∠DAC
∠BCF
Answer:
cbe
Step-by-step explanation:
The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.
What is an Angle?An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.
The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.
The ∠BAC and ∠BCA are the interior angles of the triangle,
According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.
The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE
∠CBE = ∠BAC + ∠BCA
Your question seems incomplete, the complete question is attached with the answer.
To know more about Angle
https://brainly.com/question/13954458
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Consider the line y=-1/2x+8
What is the slope of a line parallel to this line?
What is the slope of a ine perpendicular to this line?
Given parameters:
Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8
Unknown:
Slope of line parallel to this line = ?
Slope of line perpendicular = ?
Solution:
A line parallel to this line will have the same slope with it.
A line perpendicular will have the negative inverse of this slope;
Slope of line = - [tex]\frac{1}{2}[/tex]
Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]
Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex])) = 2
So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2
You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that consists of 20 Type A bolts, 20 Type B bolts, and 20 Type C bolts. At random, you take 10 bolts out of the container. Determine: A) The probability you took the exact number of Type A bolts you need for your 5 assemblies. B) The probability you did not take enough Type A bolts that you need for your 5 assemblies. C) The probability you took more Type A bolts than you need for your 5 assemblies.
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
The International Average Salary Income Database provides a comparison of average salaries for various professions. The data are gathered from publications and reports obtained directly from government agencies (such as the U.S. Bureau of Labor Statistics) or from the International Labour Organization. Suppose you are told that an accountant in Canada who makes $2, 646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____. Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .
Answer:
a)The average salary, then, for accountants in Canada is $2352
b) The standard deviation of the salary, then, for accountants in Portugal is $388.2
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.
z = (x-μ)/σ
z = 0.50, x =$2,646.00 μ = ?? σ = $588
Hence,
0.50 = 2,646 - μ/588
0.50 × 588 = 2,646 - μ
294 = 2,646 - μ
μ = 2,646 - 294
μ = $2352
Therefore, the average salary, then, for accountants in Canada is $2352
b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .
z = (x-μ)/σ
z = 2, x = $2,329.40 μ =$1,553 σ = ?
2 = ($2,329.40 - $1,553)/σ
2σ = $2,329.40 - $1,553
σ = $2,329.40 - $1,553/2
σ = $776.4 /2
σ = $388.2
Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2
90 POINTS!!!!!
What show is this from?
Answer:
Trailer Park Boys I believe
Answer:
trailer park boys i think
Step-by-step explanation:
(-m2 + 6) + (-4m2 + 7m + 2) =
Answer:
−5m² + 7m + 8
Explanation:
−m² + 6 − 4m² + 7m + 2
= −m² + 6 + −4m² + 7m + 2
[ Combine Like Terms ]
= −m² + 6 + −4m² + 7m + 2
= ( −m² + −4m²) + (7m) + (6 + 2)
= −5m² + 7m + 8
greg is working on a school project
Answer: Cool
Step-by-step explanation:
Greg is working on a school project
Answer:
noice
Step-by-step explanation:
