Answer:
n = 86
Step-by-step explanation:
Step 1: Write equation
41 + n = 127
Step 2: Subtract 41 on both sides
n = 86
Step 3: Check
Plug in x to verify it's a solution.
41 + 86 = 127
127 = 127
26. 50 students sit in a class room. Each student
requires 9 m² on floor and 108 m in space. If the
length of the room is 25 m, find its breadth and
height.
Plz explain
Lisa has a credit card that charges 5% interest on a monthly balance. She buys a $120 bike and plans to pay for it by making monthly payments of $60. How many months will it take her to pay it off? Assume
Answer:
3 months
Step-by-step explanation:
Without the 5% interest it would take 2 months to pay it off but with the 5% interest added that's going to 5% of whatever the balance is.
After her 1rst payment of 60$ she will have 66$ left to pay: 120(1/20)+6-60
After her 2nd payment of 60$ she will have 9.3$ left to pay: 66(1/20)+ 3.3-60
so basically 2 payments of $60 and one payment of $0.47
When Mac was asked to duplicate Angle TAR, he used his protractor to measure angle TAR and then to make Angle MAC. Is his construction correct? Explain.
There is no image! Next time, use an image attached to your question. You can take a screenshot, or a picture of your screen with another device.
Calculate the forecasted registrations for years 2 through 12 using exponential smoothing, with a smoothing constant ( α ) of 0 . starting forecast of 4.00 for year 1 (round your responses to one decimal place):
The forecasted registrations for years 2 through 12 using exponential
smoothing, with a smoothing constant (α) of 0 and a starting forecast of 4.00 for year 1 are:
Year | Forecasted registrations
------- | --------
2 | 4.00
3 | 4.00
4 | 4.00
5 | 4.00
6 | 4.00
7 | 4.00
8 | 4.00
9 | 4.00
10 | 4.00
11 | 4.00
12 | 4.00
Exponential smoothing is a forecasting method that uses past data to predict future values. The smoothing constant (α) determines how much weight is given to the most recent data. In this case, we are using a smoothing constant of 0, which means that all of the weight is given to the most recent data. This means that the forecasted registrations for all years will be the same as the starting forecast of 4.00.
Here is the formula for exponential smoothing:
```
Forecasted registrations = α * most recent data + (1 - α) * previous forecast
```
In this case, α = 0, so the formula becomes:
```
Forecasted registrations = most recent data
```
Since the most recent data is always 4.00, the forecasted registrations will always be 4.00.
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The gas mileage g (measured in mi/gal) for a particular vehicle, driven at v mi/h, is given by the formula g = 10 + 0.7v − 0.01v2, as long as v is between 10 mi/h and 65 mi/h. For what range of speeds (in mi/h) is the vehicle's mileage 22 mi/gal or better? (Enter your answer using interval notation.)
Answer:
[tex][30,40][/tex]
Step-by-step explanation:
Given
[tex]g = 10 + 0.7v - 0.01v^2[/tex]
Required
Determine v when g = 22
Substitute 22 for g;
We have:
[tex]22 = 10 + 0.7v - 0.01v^2[/tex]
Collect Like Terms
[tex]0.01v^2 -0.7v + 22- 10 = 0[/tex]
[tex]0.01v^2 -0.7v + 12 = 0[/tex]
[tex]0.01v^2 -0.4v-0.3v + 12 = 0[/tex]
[tex]0.01v(v - 40) - 0.3(v - 40) = 0[/tex]
[tex](0.01v - 0.3)(v - 40) = 0[/tex]
Split:
[tex]0.01v - 0.3= 0[/tex] or [tex]v - 40 = 0[/tex]
[tex]0.01v = 0.3[/tex] or [tex]v = 40[/tex]
[tex]v = 0.3/0.01[/tex] or [tex]v = 40[/tex]
[tex]v = 30[/tex] or [tex]v = 40[/tex]
Writing as interval, we have:
[tex][30,40][/tex]
Show and explain work
What is the solution to 3x+2.42 >3.0?
O x20.2
O x20.6
0 x 1.8
O X2 2.5
Answer:
I believe the answer is x>0.2
Evaluate the following expression P(1+rt), for P=1575,r=0.055,t= 168 /365 . a 516,124 b $1975.71 c) $39,87 d) 51614.87
The correct option is a) $5161.24
To evaluate the expression P(1+rt) with the given values:
P = 1575
r = 0.055
t = 168/365
First, let's calculate rt:
rt = 0.055 * (168/365)
= 0.0252836 (rounded to 7 decimal places)
Now, substitute the values into the expression P(1+rt):
P(1+rt) = 1575 * (1 + 0.0252836)
= 1575 * 1.0252836
= 1615.85846 (rounded to 5 decimal places)
The result is approximately $1615.86.
Therefore, the correct option is a) $5161.24
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Find the coordinates of the point P that is 1/8 of the way from point M along MN if the points are M (-4, 7) and N (12, - 1) (1 point)
(14, - 2)
0 (-1,7)
0 (-2, 6)
O (10,0)
Answer:
i think its the 3rd one
Step-by-step explanation:
be care i might be wrong
Answer:
It is (10,0)
Step-by-step explanation:
I had the same q on my quiz
10 points and marked brainliest!!! please help its a teat and due soon.
Answer:
27
Step-by-step explanation:
Answer:
ST=27 (Hope this helps)
Step-by-step explanation:
RT=100 (GIVEN)RS+ST=100
2x+7+x-6=100
3x+1=100
3x=99
x=33
ST=x-6 (GIVEN)ST=33-6
ST=27
What’s the equation for
6/15 + 1/5
Answer:
3/5 or 0.6 because....
Step-by-step explanation:
you dived e 6 by 3 and 15 by t3 then add
Answer:
3/5
Step-by-step explanation:
6/15+1/5
6/15+3/15
9/15
3/5
Determine the slope of the line that passes through the points M(-3,5) and N(1,
8). Represent the slope in decimal form.
ASAP MULTIPLE CHOICE
What is the converse of the following statement?
"If Joe goes fishing, then he needs bait."
If Joe does not go fishing, then he does not need bait.
If he does not need bait, then Joe does not go fishing.
If Joe goes fishing, then he does not need bait.
If he needs bait, then Joe goes fishing.
Answer:
If he needs bait, then Joe goes fishing.
Step-by-step explanation:
If he needs bait, then Joe goes fishing.
Answer: If Joe does not go fishing, then he does not need bait.
Explanation: If Joe has to go fishing, then he needs bait. If he did not go fishing, then he will not need bait. These are total opposites. Hope this helps!
How far would Maria have to travel to get to Valentina's house?
Answer:depends on the distance but we need info
Step-by-step explanation:
what price should the company charge for each unit in order to sell 4500 units? (
The company should charge approximately $33.33 per unit in order to sell 4500 units, based on the given assumptions.
To determine the price per unit that the company should charge in order to sell 4500 units, we need additional information such as the total cost and desired profit margin. The price per unit can be calculated using the following formula:
Price per unit = (Total cost + Desired profit) / Number of units
Let's assume that the total cost is $100,000 and the desired profit is $50,000. We can substitute these values into the formula to find the price per unit:
Price per unit = ($100,000 + $50,000) / 4500
Price per unit = $150,000 / 4500
Price per unit ≈ $33.33
It's important to note that the actual price per unit may vary depending on the specific cost and profit margin considerations of the company.
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i am looking for someone that is very handsome single and 15
Answer:
Abe lunch hshhshhshajskbdbd
what is the mean mark in5,8,4,3,7,6,2,9 and 1
Answer:
Mean= 5+8+4+3+7+6+2+9+1÷9
=5
Step-by-step explanation: The mean is 5
Decreasing the sample size from 750 to 375 would multiply the standard deviation by. (b) √2. (a) 2. (c) 1/2. (d) 1√2 (e) none of these.
Decreasing the sample size from 750 to 375 would multiply the standard deviation by √2. The correct answer is (b) √2.
The sample size is the number of individuals in a study. If the population is extremely large, the sample size should be larger than if it were smaller. As a result, the larger the sample size, the better, since it leads to higher accuracy and a lower margin of error. For example, let’s say you want to know the proportion of people who wear glasses. If you only ask three people, you may get lucky and find all three wear glasses or unlucky and get none of them to wear glasses. If you ask 30 people, your estimate of the proportion of people who wear glasses will be much better.
The effect of sample size on standard deviation: Standard deviation measures how much spread there is in the data. Larger samples provide better estimates of the population, and therefore, the standard deviation is smaller for larger samples than for smaller ones. This is because a larger sample will have more data points, which will help to better estimate the true population standard deviation. Decreasing the sample size will not only make the standard deviation larger but also introduce more variability in the data. In fact, the standard deviation will be multiplied by the square root of the ratio of the two sample sizes. In this case, it will be multiplied by √2. Therefore, the answer is (b) √2.
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What are the rules to remember when dividing fractions?
Answer:
copy the first fraction, turn the division sign to a multiplication sign and flip the second fraction
Step-by-step explanation:
ex: 2/5 divided by 1/4
turn it to- 2/5 x 4/1
Answer:
Step-by-step explanation:
find reciprocal of second fraction then multiply the fraction after you find the reciprocal
A triangle with side lengths of 5 meters, 7 meters, and 9 meters
Answer:
It is not a right angled troagle
Step-by-step explanation:
Given
Sides: 5m, 7m and 9m
Required
Is it a right angled triangle?
A triangle is right angled if:
[tex]a^2 = b^2 + c^2[/tex]
Where a is the longest side and b,c is any of the other.
So, we have:
[tex]9^2 = 5^2 + 7^2[/tex]
[tex]81 = 25 + 49[/tex]
[tex]81 \neq 74[/tex]
Since they're not equal then it is not a right angled troagle
2f-5(f+5) Simplify the answer
Answer: -3f-25
Step-by-step explanation:
Answer:
-3f - 25
Step-by-step explanation:
2f - 5(f + 5)
2f - 5f - 25
-3f - 25
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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Number expression for 84
Answer:
How do we get a bigger number? Subtracting or dividing will just make it smaller. So we have to multiply. We need it about 4 times bigger (3 x 28 = 84, 4 x 28 .
Step-by-step explanation:
A number can be any number. It can be 4, it can be 56, it can even be 452,890.14. So the number expression for 84, would have to be 84. It's that simple. If there's something I'm missing, (i'm just an 8th grader) tell me please. Otherwise, your a doofus.
HELPPPPPP MEEEE
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. 12 ÷ f= 4
B. 12-4=f
C. 12+ f = 4
D. f÷4=12
E 4+f=12
F. f-4-12
Answer: B. 12-4=f
Step-by-step explanation: The correct answer is B. We can use subtraction to find the number of pieces of fruit that were taken out of the bag, which is 12 - 4 = 8. Then, we can add the number of pieces of fruit that remained to the number of pieces that were taken out to get the total number of pieces that were in the bag to start, which is 8 + 4 = 12.
Therefore, there were 12 pieces of fruit in the bag to start.
Hello!
unknown = f
After taking 4 pieces of fruit out of a bag = -4
12 pieces of fruit remained = 12
12 - 4 = f
Nina is training for a marathon. She can run
kilometers in
of an hour. At this pace, how many kilometers can Nina run in 1 hour?
Answer:
She can run 9 kilometers per hour.
Step-by-step explanation:
4 1/2 = 1/3 kilometers
4 1/2 = 9/2
9/2 x 1/3
27/6 x 2/6 = 54/6
54/6 = 9 kilometers per hour.
Is analyzing a sequence challenging for you
Answer:
no
whats the point of this post?
A 13-foot ladder is leaning against a wall. If the top slips down the wall at a rate of 2 ft/s, how fast will the foot be moving away from the wall when the top is 10 feet above the ground?
The foot will be moving at ___ ft/sec
Answer:
[tex]\frac{db}{dt}=\frac{20\sqrt{69}}{69}\approx2.4077\text{ ft/s}[/tex]
Step-by-step explanation:
We know that the ladder is 13 feet long.
We also know that the top of the ladder is slipping down at a rate of 2ft/s.
And we want to find the rate at which the foot of the ladder is moving away when the top is 10 feet above the ground.
We can use the Pythagorean Theorem for this problem:
[tex]a^2+b^2=c^2[/tex]
Let's let a be the leg by the wall, and b be the leg on the ground.
Our hypotenuse is 13 and it stays 13. So, let's substitute 13 for c:
[tex]a^2+b^2=(13)^2=169[/tex]
Now, let's take the derivative of both sides with respect to t:
[tex]\frac{d}{dt}[a^2+b^2]=\frac{d}{dt}[169][/tex]
Evaluate. Use implicit differentiation:
[tex]2a\frac{da}{dt}+2b\frac{db}{dt}=0[/tex]
We know that the top of the ladder is slipping down at a rate of 2ft/s. So, da/dt is -2 (it's negative because it's slipping downwards).
We want to find db/dt when the top is 10 feet above the ground. So, substitute 10 for a.
Since a is 10 and we know that c stays constant at 13, we can figure out b using the Pythagorean Theorem:
[tex]10^2+b^2=13^2[/tex]
Evaluate:
[tex]100+b^2=169[/tex]
Solve for b:
[tex]b^2=69\\b=\sqrt{69}[/tex]
So, substitute -2 for da/dt, 10 for a, and √69 for db/dt. This yields:
[tex]2(10)(-2)+2(\sqrt{69})(\frac{db}{dt})=0[/tex]
Solve for db/dt. Multiply:
[tex]-40+2(\sqrt{69})(\frac{db}{dt})=0[/tex]
Add 40 to both sides:
[tex]2\sqrt{69}(\frac{db}{dt})=40[/tex]
Divide both sides by 2√69:
[tex]\frac{db}{dt}=\frac{20}{\sqrt{69}}[/tex]
Rationalize:
[tex]\frac{db}{dt}=\frac{20\sqrt{69}}{69}\approx2.4077\text{ ft/s}[/tex]
So, the foot will be moving at approximately 2.4077 feet per second.
Question 7
After you reflect a figure, the image is
congruent.
O never
O Always
sometimes
Plssssss helpppp A$AP (rocky)
Answer:
a
Step-by-step explanation:
d
On the interval 0 ≤ x ≤ 2π, what are the x-intercepts of y = sinx?
1.) 0, pi/2, and 3pi/2
2.) 0, pi, and 2pi
3.) pi/2 and 3pi/2 only
4. pi and 2pi only
Answer:
B. 0, π, and 2π
Step-by-step explanation:
on edge
The x-intercepts of y = sin x should be option b.
Given that,
The interval is 0 ≤ x ≤ 2π.Based on the above information, the calculation is as follows:
0 ≤ x ≤ 2π
Here the x-intercepts should be [tex]0, \pi, 2\pi[/tex]
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Write the following equations as quadratics in standard form (with = 0). Make sure to remove any brackets and fractions present.
Question 1:
[tex]\frac{x}{2} = x^2 - \frac{3}{2}[/tex]
Question 2:
[tex]\frac{5}{x} + 1 = x[/tex]
Answer:
[tex]-2x^2+x+3=0[/tex]
[tex]-x^2+x+5=0[/tex]
Step-by-step explanation:
Algebraic Manipulation
Consists of applying basic rules of algebra to simplify or transform algebraic expressions into others.
We are required to rewrite two expressions as quadratics in standard form.
Question 1:
[tex]\displaystyle \frac{x}{2} = x^2 - \frac{3}{2}[/tex]
To get rid of the denominators, multiply by 2:
[tex]x=2x^2-3[/tex]
Move all the terms to the left side:
[tex]x-2x^2+3=0[/tex]
Order by degree:
[tex]\boxed{-2x^2+x+3=0}[/tex]
Question 2:
[tex]\displaystyle \frac{5}{x} + 1 = x[/tex]
Multiply by x (x must be different from 0):
[tex]5+x=x^2[/tex]
Move all the terms to the left side:
[tex]5+x-x^2=0[/tex]
Order by degree:
[tex]\boxed{-x^2+x+5=0}[/tex]