Answer:
2, 13, 103
Step-by-step explanation:
These prime numbers are the ones.
2678 = 2 * 13 * 103
A prime number is a natural number that is greater than one and is not a product of smaller natural numbers. For example, 3 is a prime number and we can write it as a product, 1 * 3 or 3 * 1, which involves 3 itself.
So, prime numbers are those numbers that have only two factors, which are 1 and the number itself.
A natural number that is greater than 1 and is not a prime number, is called a composite number. Every natural number which is greater than 1, is either a prime itself or can be factorized as a product of primes that is unique up to their order.
The answer is -
2678 = 2 * 13 * 103
Read more about prime numbers :
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Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Answer:
15.5t=18(t-0.5) is the correct answer
Step-by-step explanation:
if the first boat travels t time then the second traveld t-0.5 time to take over
The expression on each side of each equation represent the distance travelled. Hence, 15.5t=18(t-0.5) is the correct answer
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that boat left Kyuquot and headed west at 15.5 km/h.
A second boat left Kyuquot half an hour later and headed west at 18 km/h.
Helga’s Equation 15.5t = 18(t + 0.5)
Dora’s Equation 15.5t = 18(t - 0.5)
Therefore, if the first boat travels t time then the second travelled
t-0.5 time to take over
To know more about an expression follow;
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Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?
Answer:
Answer:
I = $ 1,937.50
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
I hope this is correct and hope it helps!
Find the value of x.
A
D
17
8
х
B.
15
O X
120
17
O X
17
120
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Sue receives a monthly salary of $500. She also receives a sales commision of
8% of her total sales. Her total sales this week were $2,500. Find her
commission and total sales.
Answer:
2000 because you got to subtract
How can you use 1300 divided by 13 to help you find 1,287 divided 13
Answer:
Step-by-step explanation:
This question is about the benefits of estimation.
1300/13 is easy and results in 100.
1287/13 can be approximated by 1300/13: 1287/13 ≈ 100.
Actually, 1287 = 1300 - 13 = 13(99); just subtract 1 from 100.
So: 1287/13 = 1300 - 13 = 1287. A nice bit of mental math!
100
100
Students, drow anywhere on this slide!
Answer:
Im sorry what?
Step-by-step explanation:
Please answer the question in the pic and make the answer clear pleaseeeee I'm giving brainliest out as welll
Dooren can type 2 pages of her report in 5 minutes. At this rate, how many pages could she type in half an hour?
Answer:
60 pages
Step-by-step explanation:
2pages = 5min
30 x 2 = 60
Therefore, in half an hour Doreen can type 60 pages
Natalie can type 54 words per minute when transcribing an audio recording. Natalie needs to transcribe an audio recording with 7,938 words.
How many minutes will it take Natalie to transcribe the recording?
Enter your answer in the box.
min
Answer:
147 minutes (2 hours, 27 minutes)
Step-by-step explanation:
Answer this question for me please
Answer:
i believe the answer is D
Step-by-step explanation:
if x = 2 and y = 6 , evaluate the following expression:
100-3(3y-4x)
(Tricky question, so be careful, not as obvious as it seems)
(NO LINKS OR I WILL REPORT)
In Middletown, Main Street and Market Street are parallel to each other. Patrick Street intersects Market Street to form a 76° angle at the northeast corner, as shown in the figure below. What is the measure of the angle formed at the southeast corner of Main Street and Patrick Street? (Note: Each street is straight and has the same uniform width.)
I WILL GIVE OUT BRAINLIEST IF CORRECT!
A. 76°
B. 90°
C. 104°
D. 142°
E. 152° (NOT E)!
Answer:
e
Step-by-step explanation:
Answer
C
Step-by-step explanation:
76+104 is 180
the manager of a local recreational center wanted to determine the average amount each consumer spent on traveling to and from the center. on the basis of the findings, the manager was planning on setting the entrance fee. the management noted that customers living at the other side of town had to travel about 15 miles and spent about 20 cents per mile. the manager wanted to be 95% confident of the findings and did not want the margin of error to exceed /- 10 cents. what sample size should the manger use to determine the average travel expenditure
Answer:
The manager should use a sample size of 12 to determine the average travel expenditure
Step-by-step explanation:
Spent about 20 cents per mile. Distance of 15 miles
We have the mean per a distance, so we use the Poisson distribution. In this distribution, the standard deviation is the square root of the mean. So
[tex]\mu = 20*15 = 300, \sigma = \sqrt{300} = 17.32[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
What sample size should the manger use to determine the average travel expenditure?
This is n for which M = 10. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{17.32}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.96*17.32[/tex]
[tex]\sqrt{n} = \frac{1.96*17.32}{10}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*17.32}{10})^2[/tex]
[tex]n = 11.52[/tex]
Rounding up
The manager should use a sample size of 12 to determine the average travel expenditure
The 5 members of the math team at Nielsen Middle School are raising money to go to the
state competition. They need between $55 and $80 per person for each day of the trip. Which
of the following is a reasonable estimate of the total amount of money they will need for the
2-day trip?
Answer:
The answer is $700
Step-by-step explanation:
Brainliest plzz
Please help me I can't solve this question I would really appreciate it
Answer:
[tex]\frac{3}{11}[/tex], 28, [tex]\frac{4}{11}[/tex]
Step-by-step explanation:
For the first one, you would subtract [tex]\frac{5}{11}[/tex] from [tex]\frac{8}{11}[/tex], giving you [tex]\frac{3}{11}[/tex].
For the second one, you would subtract 22 from 50, giving you 28.
For the third one, you would subtract [tex]\frac{4}{11}[/tex] from [tex]\frac{8}{11}[/tex], giving you [tex]\frac{4}{11}[/tex].
Hope I helped
Please Help
dont answer unless you really know the answer
Can someone plz help me
Answer:
47.5 in²
Step-by-step explanation:
Answer:
47.5 in²
Step-by-step explanation:
A = a+b
/2h = 7+12
/2·5 = 47.5
n a study of academic procrastination, it was determined that for a random sample of 18 undergrad students at a mid-size public university, the mean time spent studying for the final exam in an intro statistics course was 7.74 hours with a standard deviation of 3.40 hours. Suppose we wish to compute a 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students. The margin of error for this confidence interval would then be calculated using the critical value (c) determined in the previous question as: (Don't worry if your sample size changed- use the one given here).
Answer:
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.11
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Please this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
[tex]C=\pi d[/tex] where d is the diameter
Plug in 2 ft as the diameter
[tex]C=(3.14) (2)\\C=6.28[/tex]
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
Find the volume of the prism to the nearest whole number
Answer:
120
Step-by-step explanation:
The prism shown is a rectangular prism with a height of 3 in a length of 5 in and a width of 8 in
The volume of a rectangular prism can easily be calculated by multiplying the height by the length by the width
So V = 3 * 5 * 8
3 * 5 = 15
15 * 8 = 120
V = 120
Therefore your answer is 120
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
Which is larger, a pound or a kilogram?
Answer:
Pounds
Step-by-step explanation:
1 kilogram= about 2.2 pounds
Answer:
kilgoram
Step-by-step explanation:
1 kg= 2.2lb
UVT equals what?....
Answer:
m<UVT = 114°
Step-by-step explanation:
½(sum of intercepted arcs) = measure of vertex of an angle inside a circle
Thus:
½(FS + UT) = m<UVT
Substitute
½(53 + 175) = m<UVT
½(228) = m<UVT
114 = m<UVT
m<UVT = 114°
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
(OFFERING 50 POINTS!) PLEASE HELP
Two accounts earn simple interest . The balance y in dollars in account A after x years can be modeled y = 20x + 400
The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 2014, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period
Answer:
The country's population increased by about 16.73% during this time period.
Step-by-step explanation:
Percent increase:
The percent increase is given by the change multiplied by 100 and divided by the initial value.
In 1990, the population was about 263 million people In 2014, the population was about 307 million people.
Change: 307 - 263 = 44
Initial population: 263
Percentage increase:
44*100/263 = 16.73%
The country's population increased by about 16.73% during this time period.
Lin says that an octagon has six sides. Chris says that it has eight sides. Whose statement is correct?
Answer:
Chris is correct. All octagons have eight sides and eight angles.
I need help on the problem!! please
Answer:
choice 2) 1/4(n - 64)
Step-by-step explanation:
1/4n - 16 = 1/4(n - 64)
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
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