The expression that simplifies to 2/15 is 4/30.
Option C is the correct answer.
We have,
To find the expression that simplifies to 2/15, we need to simplify each option and see which one equals 2/15.
Let's simplify each option:
A) 4/17: This expression cannot be simplified further. It does not equal 2/15.
B) 6/19: This expression cannot be simplified further. It does not equal 2/15.
C) 4/30: We can simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 2. Simplifying gives us 2/15, so option C equals 2/15.
D) 12/60: We can also simplify this expression by dividing both the numerator and denominator by their greatest common divisor, which is 12. Simplifying gives us 1/5, not 2/15.
Therefore,
The expression that simplifies to 2/15 is 4/30.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
The complete question:
Which expression simplifies to 2/15 ??
A 4/17
B 6/19
C 4/30
D 12/60
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
Determine the slope of the line that passes through the points M(-3,5) and N(1,
8). Represent the slope in decimal form.
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
i am looking for someone that is very handsome single and 15
Answer:
Abe lunch hshhshhshajskbdbd
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
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.
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
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]
Learn more: brainly.com/question/16911495
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
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
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
Learn more about expression from
brainly.com/question/1859113
#SPJ11
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
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!
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.
to learn more about constant click here:
brainly.com/question/33831354
#SPJ11
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]
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.
Learn more about profit margin here:
https://brainly.com/question/30236297
#SPJ11
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
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.
Learn more about binomial distribution here:-
https://brainly.com/question/10741251
#SPJ11
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.
know more about standard deviation
https://brainly.com/question/29115611
#SPJ11
A major television manufacturer has determined that its 50-inch LED televisions have a mean service life that can be modeled Page by a normal distribution with a mean of six years and a standard deviation of one-half year. a. What probability can you assign to service lives of at least (1) five years? (2) Six years? (3) Seven and one-half years? b. If the manufacturer offers service contracts of four years on these televisions, what percentage can be expected to fail from wear-out during the service period? c. What service period would achieve an expected wear-out rate of (1) 2 percent? (2) 5 percent?
a. To determine the probabilities associated with different service lives, we can use the properties of the normal distribution. Given that the mean service life is six years with a standard deviation of one-half year, we can calculate the probabilities as follows:
(1) Probability of service lives of at least five years:
We need to calculate the area under the normal curve to the right of five years. Using the Z-score formula, we find the Z-score corresponding to five years: Z = (5 - 6) / 0.5 = -2. We can then look up the corresponding probability in a standard normal distribution table or use statistical software to find the probability associated with a Z-score of -2. This gives us the probability of service lives of at least five years.
(2) Probability of service lives of exactly six years: Since the service life follows a normal distribution, the probability of exactly six years is zero since it is a continuous distribution. We can assign a very small positive probability to approximate "exactly" six years. (3) Probability of service lives of seven and one-half years: Similarly, we calculate the Z-score corresponding to seven and one-half years: Z = (7.5 - 6) / 0.5 = 3. We find the probability associated with a Z-score of 3 to determine the probability of service lives of seven and one-half years or longer. b. If the manufacturer offers service contracts of four years, we want to find the percentage of televisions that fail from wear-out during this period. We can calculate this by finding the area under the normal curve to the left of four years. Using the Z-score formula, we find the Z-score corresponding to four years: Z = (4 - 6) / 0.5 = -4. The corresponding probability gives us the percentage of televisions expected to fail during the four-year service period.
c. To achieve an expected wear-out rate of 2 percent or 5 percent, we need to determine the service period corresponding to these rates. We can use the Z-score formula in reverse to find the Z-score that corresponds to the desired wear-out rate. From there, we can calculate the corresponding service period by rearranging the Z-score formula and substituting the desired wear-out rate and the given mean and standard deviation values.
Learn more about the normal distribution here: brainly.com/question/14528517
#SPJ11
How can you graph y= -2x + 5
Answer:
on desmos
Step-by-step explanation:
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.
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.
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
Is analyzing a sequence challenging for you
Answer:
no
whats the point of this post?
Show and explain work
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.
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]
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
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
