Answer: 16
Step-by-step explanation: Solve for x
by simplifying both sides of the equation, then isolating the variable.
Answer:
x= 1/3
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Multiply all terms by the same value to eliminate fraction denominators
3. Cancel multiplied terms that are in the denominator
4. Divide both sides by the same factor
5. Simplify
Find the midpoint of the segment with the following endpoints.
(4,2) and (1,8)
what is the probability that you and your two friends will be chosen, but your name will be drawn first
The probability of the student's name being drawn first is 1/3.
The probability that you and your two friends will be chosen, but your name will be drawn first is 1/3.The likelihood or chance of a specific event happening is referred to as probability. The probability of an event is represented by a number between 0 and 1, with 0 indicating that the event will never occur, and 1 indicating that the event will always occur.
Probability formula the probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability (P) = number of favorable outcomes/total number of possible outcomes.Probability of the scenario The total number of people who can be picked is three, with one of them being the student.
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Factor −4 out of −24a−44.
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
Help me please please please
Answer:
Step-by-step explanation:
let coordinates of D are (x,y)
mid point of AC=midpoint of BD
so{ (-3+4)/2,(1+6)/2}={(x+(-1))/2,(y+4)/2}
(1/2,7/2)={(x-1)/2,(y+4)/2}
(x-1)/2=1/2
x-1=1
x=1+1=2
(y+4)/2=7/2
y+4=7
y=7-4=3
so D is (2,3)
Solve the equation C^2 =4
Answer:
2
Step-by-step explanation:
Hey there!
The equation is asking us, c x c = 4
What is c?
Well the only number that is equal to 4 when you square it is 2
the number of mosquitoes in brooklyn (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by
Amount of rainfall results in the maximum number of mosquitoes is 4 centimeters.
m(r) = -r(r-4)
m(r) = -r² + 4r
let's find the derivative of m(r) with respect to r:
m'(r) = -2r + 4
To find the critical points, we set m'(r) = 0 and solve for r:
-2r + 4 = 0
-2r = -4
r = 2
m''(r) = -2
Evaluating m''(2), we get
m''(2) = -2
the function m(r) has a maximum at r = 2.
Putting the value 2 we get
m(2) = -2² + 4(2)
m(2) = - 4 + 8
m(2) = 4
Therefore, the amount of rainfall that results in the maximum number of mosquitoes is 4 centimeters
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The question is incomplete the complete question is :
The number of mosquitoes in Brooklyn (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by m(r) = -r(r - 4) What amount of rainfall results in the maximum number of mosquitoes?
2. Write an equation in slope-intercept form of the line that passes through the point (-5, 7) and is perpendicular to the line y = 5x-1.
The general slope intercept form equation of a line is as stated below;
\(y=mx+b\)where m is the slope and b is the intercept.
If we compare the given equation y = 5x-1 with the equation of a line, we can deduce that the slope, m, is 5.
The slope of a line perpendicular to another is always given as -1/m, therefore the line perpendicular to the line y=5x-1 will have a slope of -1/5;
So let's go ahead and substitute m= -1/5, into the point slope equation to determine the line that passes through (-5,7);
Remember, the point slope form equation of a line is given as;
\(y-y_1=m(x-x_{1)}\)Substituting the above values, we'll have
\(y-7=-\frac{1}{5}(x+5)\)Let's open up the parenthesis first, we'll have;
\(\begin{gathered} y-7=-\frac{1}{5}x-\frac{5}{5} \\ y-7=-\frac{1}{5}x-1 \end{gathered}\)Let's isolate y by adding 7 to both sides of the equation;
\(y=-\frac{1}{5}x+6\)The above equation is the required equation of the line in slope intercept form which can be compared to the one earlier written above(y = mx + b).
10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
Let be a Bernoulli random variable such that x=0 with probability 1−p, and x=1 with probability p. In mathematical notation, this is the same as ∼Bernoulli(p).
Compute (2).
Show that ()=p(1−p). (Hint: is short formula for variance)
Compute (101).
We use the following formula to determine a Bernoulli random variable's variance:
Var(X) equals E[X2] - (E[X])^2
where E[X] denotes X's anticipated value.
We have X Bernoulli(p) in this situation, which denotes:
E[X] = p (since X can take the value 1 with probability p)
E[X^2] = 1^2 * p + 0^2 * (1 - p) = p
These values allow us to calculate the variance:
Var(X) equals E[X2] - (E[X])^2 = p - p^2 = p(1 - p)
Consequently, () = p.(1 - p).
In order to calculate (101), we must first define what is meant by (101). The expected value of a random variable, X, raised to the power of k, is generally denoted by the notation (). In this instance, we are requested to determine E[X101] given that X is Bernoulli(p).
Since X can only accept 0 and 1
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A restaurant employs 16 people, 8 of whom are women. If five employees are chosen randomly to receive tickets to a concert, what is the probability (to two decimal places) that three of them will be women
The probability that three out of the five employees chosen will be women is approximately 0.36
The probability of three out of five randomly chosen employees being women, we can use the concept of combinations.
The total number of ways to choose five employees out of the 16 is given by the combination formula:
C(16, 5) = 16! / (5! × (16-5)!)
= 4368
Now, we need to calculate the number of ways to choose three women from the 8 available, multiplied by the number of ways to choose two men from the remaining 8 employees:
C(8, 3) × C(8, 2) = (8! / (3! × (8-3)!) × (8! / (2! × (8-2)!))
= 56 × 28
= 1568
Therefore, the probability of choosing three women and two men is:
P(3 women and 2 men) = 1568 / 4368 ≈ 0.359
So, the probability that three out of the five employees chosen will be women is approximately 0.36.
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I do not know which formula is being used for this question, please answer step by step thanks!
The Hudson Record Store is having a going-out-of-business sale.CDs normally sell for $18.00.During the first week of the sale, all CDs will sell for $15.00.Written as a fraction, what is the rate of discount?What is the rate expressed as a percent?Round your answer to the nearest hundredth of a percent.During the second week of the sale, the same CDs will be on sale for 25% off the original price.What is the price of a CD during the second week of the sale?
Original Price = $18
Discounted Price = $15
Discount is $3 as 18-15 is 3.
As a fraction, the discount rate is $3/$18 also equal to $1/$6
What is the rate expressed as a percent? Round your answer to the nearest hundredth of a percent.1/6 is approximately 0.167
0.167 = 16.67%
As a percent, the discount rate is 16.67%
During the second week of the sale, the same CDs will be on sale for 25% off the original price. What is the price of a CD during the second week of the sale?Using the formula, Amount of Discount = Discount Rate · Original Price we can find the amount of discount for the 2nd week.
Let x be the amount of discount.
x = 25% · $18
x = $4.50
The amount of discount is $4.50
Calculate the cost of the CDs during the second week: $18 - $4.50 = $13.50
The price of a CD during the second week of the sale is $13.50
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
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Juliana invested $3,300 at a rate of 6.25% p.a. simple interest.
How many days will it take for her investment to grow to $3,450? 1
days Round up to the next day
To find the number of days it will take for Juliana's investment to grow, we can use the formula for simple interest
I = P * r * t.
I = interest earned
P = principal amount (initial investment)
r = interest rate per year (in decimal form)
t = time in years In this case,
Juliana's principal amount (P) is $3,300, the interest rate (r) is 6.25% or 0.0625, and she wants to reach $3,450. We need to solve for t. $3,450 = $3,300 * 0.0625 * t Divide both sides of the equation by ($3,300 * 0.0625) to isolate t:
t = $3,450 / ($3,300 * 0.0625)
t = 17 So it will take Juliana approximately 17 days for her investment to grow to $3,450.
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Kedwin can watch movies at home in two ways. He can order unlimited online movies for $10 a month. He could also go to the local movie rental store and rent 5 movies for $4.00. The system representing this scenario is graphed below.
How many movies does Kedwin need to rent each month to make the online option a better deal?
a. 10 movies per month
b. 10.40 movies per month
c. 12.5 movies per month
d. 13 movies per month
Answer:
I believe the answer is D.)13 movies per month.
Step-by-step explanation:
Answer:
D. 13 movies per month.
Step-by-step explanation:
are natural numbers closed under subtraction
The natural numbers are "closed" under addition and multiplication. ... The subtraction of two natural numbers does NOT necessarily create another natural number (3 - 10 = -7). The division of two natural numbers does NOT necessarily create another natural number (1 ÷ 2 = ½). not closed under subtraction and division.
can anyone answer this?
Answer:
it is J
Step-by-step explanation:
Which of the following is a rule for determining non-random patterns?
(A) A run of six points or more
(B) An astronomical point
(C) A trend of three points or fewer
(D) A and B
The correct answer is (D) A and B. Both a run of six points or more and an astronomical point can be rules for determining non-random patterns.
A run of six points or more refers to a sequence of data points that share a common characteristic or exhibit a consistent trend.
In statistical analysis, a run is a consecutive sequence of data points above or below a certain threshold. If there is a run of six points or more in a dataset, it suggests a non-random pattern or trend.
An astronomical point refers to a data point that significantly deviates from the expected pattern or falls outside the normal range of values. This point stands out as an outlier and may indicate a non-random pattern in the data.
By combining these two rules, A and B, we can identify non-random patterns in a dataset. A run of six points or more indicates a sustained trend, while an astronomical point signifies a significant deviation from the expected pattern.
It's important to note that a trend of three points or fewer, as mentioned in option (C), does not provide enough evidence to determine a non-random pattern. A trend of three points or fewer may still be subject to randomness or noise in the data, and it is not considered statistically significant.
Therefore, the correct answer is option (D) A and B, as both a run of six points or more and an astronomical point can help identify non-random patterns in data.
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Jennifer has already written 34 pages, and she expects to write 1 page for every additional
hour spent writing. How many hours will Jennifer have to spend writing this week in order
to have written a total of 48 pages?
Answer:
14 more hours
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
48 - 34 is 14, so every page is an hour, so 14 hours
Where and how are percents used in real life?
Answer:
It could be used for products. People could say, "These are 30% off", "They (any product) have been increased by 15%"
In psychology (i am currently doing psychology), they usually like the results in percentages, especially in the discussion part, where you discuss the results. You would say that (this is an example from my recent report):
"The participants that utilised divided attention got an average of 1.6 answers correct, compared to participants who utilised selective attention, who got on average, 4.7 answers correct. This is a 63% decrease...."
SOMEONE PLEASE HELP ME WITH THIS!!!!!!
. Find the slope of the line through the points (-5, 86) and (95, 16).
The slope's equation is:
⇒ \(\frac{y2-y1}{x2-x1}\)
Since the two points are (-5,86) and (95,16)
⇒\(slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}\)
Thus the slope is -7/10.
Hope that helps!
HELP ASAP!!! Carter is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let P represent Carter's total pay on a day on which he sells a computers. The table below has select values showing the linear relationship between x and P. Determine the base pay Carter makes regardless of computer sales.
1. The base pay Carter makes regardless of computer sales is $100
2. The linear relationship that shows the sales will be P = 100 + 10x
How to illustrate the expression?From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.
The starting salary is $100. This is the base pay.
The commission given is $10 per good sold. Therefore, the expression will be:
= 100 + 10x
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Use the following data for problems 34, 35, and 36 Activity Activity Predecessor Time (days) A, B, C A, B, C D, E D, E D, E G J H K I, J 6 34) The expected completion time for the project above is? A.
The expected completion time for the project is 17 days.
To calculate the expected completion time for the project based on the given activity network, we need to find the critical path. The critical path is the longest path in the network, which determines the minimum time required to complete the project.
The given activity network is as follows:
Activity Predecessor Time (days)
A, B, C - 6
D, E A, B, C 3
G D, E 2
J D, E 1
H G 4
K J 5
I, J H 2
By analyzing the network and calculating the earliest start and finish times, we can determine the critical path and the expected completion time.
The critical path is as follows:
A, B, C -> D, E -> J -> K -> I, J
To calculate the expected completion time, we sum up the durations of all activities on the critical path:
6 (A, B, C) + 3 (D, E) + 1 (J) + 5 (K) + 2 (I, J) = 17
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What is the middle Integer of 50, 225, 275, 300, & 350
Answer:
Just trying to get points
Step-by-step explanation:
Divide multiply subtract coefficient
What is 1647 + 1748 - 528 ?
Answer:
2867
Step-by-step explanation:
Answer: 2867
Step-by-step explanation: 1647+1748−528
3395−528 or 1647+1220 2867
7/19 as a percentage, round your answer to the nearest tenth of a percent
Answer: 36.8
Step-by-step explanation:
First convert 7/19 to a decimal.
7/19 = 0.368421...
Then to convert a decimal a percent by multiplying by 100
0.3684... x 100 = 36.8
Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. 1. 5x – 7 = 4x + 3
2. 6 + 2x = 7x – 9
3. 8x + 1 = -8 – x
4. -5 + 12x = 18x + 7
5. -4x + 3 = 5x – 13 - x
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:
5x - 7 + 7 = 4x + 3 + 7
5x = 4x + 10
x = 10
2. 6 + 2x = 7x - 9
To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:
6 + 2x + 9 = 7x - 9 + 9
2x = -3
x = -3/2
3. 8x + 1 = -8 - x
To solve for x, we can add x to both sides of the equation and add 8 to both sides:
8x + 1 + x = -8 - x + x + 8
9x + 1 = 0
x = -1/9
4. -5 + 12x = 18x + 7
To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:
-5 + 12x - 12x = 18x + 7 - 12x
-5 = 6x + 7
x = -6
5. -4x + 3 = 5x - 13 - x
To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:
-4x + 3 + x = 5x - 13 - x + x + 3
-3x = -10
x = 10/3
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3
That gives you the letters "joke"
Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
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Urgent!!
A video game is listed for $110 and is on clearance for 40% off. Sales tax is 7%. What is the cost of the video
game?
Answer:
$70.62
Step-by-step explanation:
110 x 0.6=66
66x0.07 + 66=$70.62
what are the like terms in this exspression 9a-3b + 4ab
Answer:
none of these terms are like terms
Answer:
there is no like terms in this expression
Step-by-step explanation:
there is "a", "b" and "ab"
you cant combine anything because they are all different
Hope this helps!!