[/tex]P(E)+P(E')=1 \\
P(E')=1-P(E)\\
where E and E' are opposite events
[tex]
P(E')=1-P(E) \\ P(E')=1- \frac{20}{31} \\ P(E')= \frac{31 - 20}{31} \\ P(E')= \frac{11}{31} \approx0.3548[/tex]
Midtown Antiques collects 2% sales tax on all sales. If total sales including tax are
$1591.62, find the portion that is the tax amount.
Answer:.05*1493.47 = $74.67 also
Step-by-step explanation:
Describe how to transform the graph of f into the graph of g.
f(x)=√x and g(x) = √0.2x
The f(x) - k shifts the function g(x) by √0.8x units downwards
Let us consider
f(x) = g(x) + k
g(x) = f(x) - k
where f(x) = √x and
g(x) = √0.2x
Substituting these values in the above equation
√0.2x = √x - k
-k = -√x + √0.2x
k = √x - √0.2x
k = √0.8x
which means that the f(x) - k shifts the function g(x) by √0.8x units downwards.
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Solve the function 4|2x+4|−7=17
Answer:
[tex]x = 1[/tex] or [tex]x = -5[/tex]
Step-by-step explanation:
[tex]4|2x + 4|-7 = 17\\\to4|2x + 4| = 24\\\to |2x + 4| = 6[/tex]
Case 1) 2x + 4 is positive
[tex]2x + 4 = 6\\\to 2x = 2\\\to x = 1[/tex]
Case 2) 2x + 4 is negative
[tex]2x + 4 = -6\\\to 2x = -10\\\to x = -5[/tex]
50 POINTS!!!! PLEASE HELP
Examine this figure.
What postulate or theorem is used to prove∠3≅∠7?
Responses
alternate exterior angle theorem
same-side interior angle theorem
corresponding angle postulate
same-side interior angle theorem
Corresponding angle postulate
Corresponding angles:
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position.
Here we need to prove ∠3 ≅ ∠7
From the properties of the two parallel line cut by the transversal line, these angle is corresponding angles.
i.e., ∠3 ≅ ∠7 (by the properties of the corresponding angles)
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A salesperson’s commission rate is 6%. What is the commission from the sale of $33,000 worth of furnaces? Use pencils and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
The commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
How to solve for the commissionGiven that the commission rate is 6%
If the sales done is 33000 dollars then the commission received by the agent would be:
33000 * 0.06 = 1980
Now if the sale doubles we would have 33000 x 2
= 66000 dollars
then the commission received would be
66000 x 0.06
= $3960
Hence we would say that the commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
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4. Two cities are 400 miles apart. A high-speed train can get from one to the other in two hours.
What is its speed?
Answer:
200 MPH
Step-by-step explanation:
You basically have to divide 400 miles by two hours, since you need the miles per hour.
*Please mark brainliest answer
Kylie and her sister started watching an action movie at 10:11 A.M. The movie was 2 hours
and 30 minutes long. After the movie, they played soccer in the backyard for 2 hours and 5
minutes. What time was it when Kylie and her sister finished playing soccer?
Answer:
2:46 p.m.
Step-by-step explanation:
Answer:
2:46 p.m.
Step-by-step explanation:
Start time: 10:11 a.m.
movie end time: 10:11 a.m. + 2hrs 30 min = 12:41 p.m.
soccer end time: 12:41 p.m. + 2hrs 5 min = 2:46 p.m.
Nine more than six times the number x is 7 less than the number x.
Answer: 9 + 6(x) = 7 - x
Answer:
→ 9 + (6 × x) = 7 - x
Tinsley, Incorporated, wishes to maintain a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
a. What is the dividend payout ratio?
Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer
as a percent rounded to 2 decimal places, e.g.. 32.16.
The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
To calculate the ROE we would have to use the following formula:
ROE=Profit margin x Total asset turnover x Equity multiplier
ROE=0.046 x 1.16 x (1 +0.5)
ROE=0.08004
Therefore, dividend payout ratio would be calculated as follows:
0.14 = (0.08004 x dividend payout ratio) / [ 1 - (0.08004 x dividend payout ratio))
0.14 = 0.08004 x dividend payout ratio / (1 - 0.08004 dividend payout ratio)
0.14 - 0.0112056 dividend payout ratio = 0.08004 dividend payout ratio
0.14 = 0.0912456 dividend payout ratio
dividend payout ratio=1.53432
Therefore, dividend payout ratio=1-1.53432
dividend payout ratio=-53.43%
The dividend payout ratio is -53.43% when a growth rate of 14 percent per year and a debt-equity ratio of .5. The profit margin is 4.6
percent, and total asset turnover is constant at 1.16.
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What is 62 less than the product 22 and 3?
i need it in number sentence
Answer:
(22 × 3) - 62
Step-by-step explanation:
(22 × 3)-62
66 - 62
The answer is therefore 4
Harriet's Flowers is having a sale on petunias for $0.25 each with the purchase of any $12 item. The Premiere
Garden Shop is selling them for $0.15 each with the purchase of any $15 item. What number of petunias would
cost the same at either shop?
Premiere
Answer:
30 petunias
Step-by-step explanation:
p=petunias
0.25p +12 = 0.15p + 15
-0.15p -0.15 p Subtract 0.25 with 0.15
0.10p + 12 = 15
-12 -12 Subtract 15 with 12
0.10p = 3 Divide 0.10p with 3
p=30
PLS HELP 30 POINTS
The graph represents a quadratic function. Write an equation of the function in standard form.
Answer: [tex]y=x^2 -4x-2[/tex]
Step-by-step explanation:
The equation in vertex form is [tex]y=a(x-2)^2 -6[/tex]. Substituting in the coordinates (5, 3),
[tex]3=a(5-2)^2 -6\\\\3=9a-6\\\\9=9a\\\\a=1[/tex]
So, the equation is [tex]y=(x-2)^2 -6[/tex]. This expands as follows:
[tex](x-2)^2 -6\\\\=x^2 -4x+4-6\\\\=x^2 -4x-2[/tex]
Answer:
f(x) = [tex]x^{2}[/tex] -4x -2
Step-by-step explanation:
which option could complete the sequence in question 25
25. 27, 3, 24, 7 .......... 11, 18
a. 16
b. 14
c.28
d. 21
The right option which completes the sequence is option d.
21.
Given, the series is 27, 3 , 24 , 7,......11, 18
There are 2 series in the given series,
1st series = 27 , 24 , ? , 18
2 nd series = 3 , 7 , 11
In the first series, the next term gets subtracted by 3.
27 - 3 = 24
24 - 3 = 21
21 - 3 = 18
In the second series, the next term gets added by 4.
3 + 4 = 7
7 + 4 = 11
hence the series is completed:
27,3,24,7,21,11,18
Therefore the sequence is completed.
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Latoya got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13-
cents per yard. If after that purchase there was $24.67 left on the card, how many yards of ribbon did Latoya buy?
yards
Answer:
.8976 per yard
Step-by-step explanation:
30-24.67=5.33
13÷5.33= 2.43 yards
There are about 1,045,000, people living in City A. There are 2.5 times that number of people living in City B. What is the approximate number for people living in City B?
The approximate number for people living in City B is 2612500 people
What is the approximate number for people living in City B?The given parameters are
City A = about 1,045,000, people
City B = 2.5 times that number of people living in City B
Substitute City A = about 1,045,000, people in City B = 2.5 times that number of people living in City B
So, we have
City B = 2.5 times 1,045,000, people
Rewrite as
City B = 2.5 * 1,045,000, people
Evaluate the product
So, we have
City B = 2612500 people
Hence, the approximate number for people living in City B is 2612500 people
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Consider the event of a coin being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about __times
If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06times
ProbabilityThe probability of flipping heads onetime= 1/2
Hence,
Probability of flipping heads 8 times in a row is:
Probability= (1/2)^8
Probability=0.00390625
Now let determine the expected times
Number of times=0.00390625×10,000
Number of times=39.06 times
Therefore If the event of a coin is being flipped eight times. If that event is repeated 10000 different times. it is expected that the event would result in 8 heads about 39.06 times
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Choose the definition for the function.
A.
C.
√4x - if x < 0
3
2x + 2
if x ≥ 0
2x - 2
--4
if x ≤ 0
if x > 0
B.
D.
2x + 2
x + 4
x + 4
2x + 2
if x ≤ 0
if x > 0
if x ≤ 0
if x > 0
Answer:
B
Step-by-step explanation:
we need to look at the y-intercept (the y value when x=0).
we need equating with +2 and +4 at the end.
that eliminates A and C, leaving B and D as potential right answer.
but then we see that the y-intercept "+2" must be in an equation for x <= 0, because that line with +2 intercept only covers negative x.
so, B is correct.
3×+(8×-16) what is the simplified form of this equation
Answer:
11x - 16
Step-by-step explanation:
3x + (8x-16)
3x + 8x-16
11x - 16
You are comparing two savings accounts based on the interest you would earn and the fees they charge. Assuming you have a savings account with an average balance of $500, which combination of interest rates and fees are a better deal? (Hint: Using a one year period, determine the balance that you would have at Bank A and Bank B).
Using simple interest, the better deal is given by Bank B.
What is the missing information?The options are missing, but they are given as follows:
Bank A: An account with 10% annual interest rate and $5/month in fees.Bank B: An account with 2% annual interest rate and no fees.Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
A(t) = A(0)(1 + rt)
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.For Bank A, the balance, without the fee, will be given by:
A(1) = 500(1 + 0.1) = $550.
Removing the fee:
550 - 12 x 5 = $490.
For Bank B, the balance is given by:
A(1) = 500(1 + 0.02) = $510.
No fee, 510 > 490, hence Bank B offers the better deal.
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What is the distance between –12 and –7 on a number line?
Rewrite in simplest terms: 6k - 7(-k - 7)
Answer:
13k + 49
Step-by-step explanation:
Hello!
Simplify6k - 7(-k - 7)Distribute -7 to -k and -7
6k -7(-k) - 7(-7)6k + 7k + 49Combine like terms (6k and 7k)
13k + 49The simplified form is 13k + 49.
A person at the mall purchased 4 shirts at an average price of $14. How much did the 5th shirt cost if the average after the 5th shirt was purchased changed to $16 per shirt?
GIVING BRAINLIEST AND THANKS
Answer: $24
Step-by-step explanation:
14+14+14+14=56
56+24=80
80/5
16
The 5th shirt cost $24 if the average after the 5th shirt was purchased changed to $16 per shirt.
Let's consider the total cost of the first 4 shirts:
Total cost of first 4 shirts = 4 shirts * $14/shirt = $56
Now, let's assume the cost of the 5th shirt is "x" dollars. After purchasing the 5th shirt, the total cost of all 5 shirts would be:
Total cost of all 5 shirts = $56 + x
Given that the average price after the 5th shirt was purchased is $16, we can set up an equation using the average formula:
Average price = Total cost / Number of shirts
$16 = ($56 + x) / 5
Solving for x:
$16 * 5 = $56 + x
$80 = $56 + x
x = $80 - $56
x = $24
So, the cost of the 5th shirt (x) is $24. This means that the person purchased the 5th shirt for $24 in order to bring the average price of all 5 shirts to $16 per shirt.
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Which property is illustrated by the equation below?
(7 + 6) + 4 = 7 + (6 + 4)
A. Distributive property
B. Identity property
C. Associative property
D. Commutative property
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - -
[tex]\textsf{The illustrated property is the associative property, which states that you}\\\textsf{can change the grouping of the numbers, but the result will be the same.}\\\textsf{In other words,}\\\textsf{(a+b)+c=a+(b+c)}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
Question 8 of 10 What is the domain of the function graphed below
Answer:
Step-by-step explanation:
Answer:
domain of the given function is i don't know sorry
Step-by-step explanation:
Solve for x. Type the number only.
The value of angle x in the triangle is 5
How to determine the value of x?The given parameter is represented by the figure
By the external opposite angle of a triangle theorem, we have the following equation
22x + 3 = 6x + 4 + 79
Collect the like terms
So, we have
22x - 6x = 4 + 79 - 3
Evaluate the like terms
So, we have
16x = 80
Divide both sides by 16
So, we have
x = 5
Hence, the value of angle x in the triangle is 5
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GUYS HELP I HAVE A MATH THING please tell me if the answers are right or what are the answers PLSS LOOK AT THE PIC>>>
Is it correct ?
Answer please………..
Answer:
yes, your answer is correct
Answer:
3 + 7 - (-10)
Step-by-step explanation:
> Option 1)
[tex]3 - 7 + (-10)\\\to 3 - 7 - 10\\\to -14[/tex]
> Option 2)
[tex]3 + 7 - (-10)\\\to 3 + 7 + 10\\\to 20[/tex]
> Option 3)
[tex]3 - 7 - (-10)\\\to 3 - 7 + 10\\\to 6[/tex]
> Option 4)
[tex]3 + 7 + (-10)\\\to 3 + 7 - 10\\\to 0[/tex]
Will mark brainliest! Which graph represents a function?
Answer: 1
Step-by-step explanation:
a stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75
A stadium has 20,000 reserved seats and 25,000 general admission seats. if reserved seats are $17.50 and general admission seats are $10.75. The total money taken is $618750
a stadium has 20,000 reserved seats
cost of reserved seats are $17.50
total cost of reserved seats are 20000 x $17.50
total cost of reserved seats = $350,000
the stadium has 25,000 general admission seats
cost of general admission seats are $10.75
total cost of general admission seats is 25000 x $10.75
total cost of general admission seats = $268,750
total money taken if tickets of all seats are sold is summation of cost of reserved seats and general seats
= $ 350000 + $268750 = $618750
Therefore the total money taken is $618750
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Expand and simplify (2x + 5)2
Answer: 4x +10
Step-by-step explanation:
Distribute the 2 to both terms
2*2x + 2*5
4x + 10