answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
2 years ago
10

Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t

he task, how long will it take each of them to do the job alone? PLEASE HELP
Mathematics
2 answers:
Basile [38]2 years ago
8 0

Answer: Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.

Step-by-step explanation:

Let the number of hours Mr. Itol takes be 'x'.

Let the number of hours Mr. Itol's assistant takes be '2x'.

Total number of hours both experts take = 6 hours

According to question, we get that

\dfrac{1}{x}+\dfrac{1}{2x}=\dfrac{1}{6}\\\\\dfrac{2+1}{2x}=\dfrac{1}{6}\\\\\dfrac{3}{2x}=\dfrac{1}{6}\\\\18=2x\\\\x=\dfrac{18}{2}\\\\x=9

Number of hours taken by him = x = 9 hours

Number of hours taken by his assistant = 2x = 2\times 9=18\ hours

Hence, Mr. Itol takes 9 hours, and his assistant takes 18 hours alone.

earnstyle [38]2 years ago
3 0
His assistant would have to take 4 hour 30 minutes while Mr. Itol would take 1 hour 30 minutes.
You might be interested in
Which function has a Vertex at the origin f(x)= (x+4)^2, f(x) x(x-4), f(x)=(x-4)(x+4), f(x)=-x^2
Studentka2010 [4]
First of all, we need to know what is the vertex means which is the maximum or minimum point of a parabola and the formula will be:
x=-b/2a
Where b and a from
f(x)=ax^2+bx+c
So do find which function has a vertex of origin. Let's find the vertex of all the function that we had:
f(x)=(x+4)^2
f(x)=(x+4)(x+4)
f(x)=x^2+8x+16
x=-b/2a
x=-8/2(1)
x=-8/2
x=-4
Not the right answer because the vertex needs to be origin which is x=0

f(x)=x(x-4)
f(x)=x^2-4x
x=-b/2a
x=-(-4)/2(2)
x=4/4
x=1
Not the right answer

f(x)=(x-4)(x+4)
f(x)=x^2-16
x=-0/2(1)
x=0
Yay! This is the right answer. As a result, f(x)=(x-4)(x+4) is your final answer. Hope it help!
7 0
2 years ago
Which of the following statement is true about k-NN algorithm?
BaLLatris [955]

The answer is D. All of the above.

The computational complexity of K-NN increases as the size of the training data set increase and the algorithm gets significantly slower as the number of examples and independent variables increase.

Also, K-NN is a non-parametric machine learning algorithm and as such makes no assumption about the functional form of the problem at hand.

The algorithm works better with data  of the same scale, hence normalizing the data prior to applying the algorithm is recommended.

6 0
2 years ago
Describe the first step when factoring any polynomial. Why is this the first step? Explain.
seropon [69]
Step 1: If there is a common factor, factor out the GCF. Step 2<span>: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.</span>
3 0
2 years ago
Read 2 more answers
If a new star appeared in our solar system that was larger and heavier than the Sun, the planets would MOST LIKELY
crimeas [40]

Answer:

C

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

7 0
2 years ago
The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected resi
SVETLANKA909090 [29]

Answer:

a) Mean = 1030; Standard deviation = 12.38.

b) The county result is unusually high.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.

This first question is a binomial propability distribution.

We have a sample of 1210 Amricans, so n = 1210.

The mean of the sample is 1030.

The probability of a success is \pi = \frac{1030}{1210} = 0.8512.

The standard deviation of the sample is s = \sqrt{n\pi(1-\pi)} = \sqrt{1210*0.8512*0.1488} = 12.38

(b) Is that county result of 1030 unusually high, or low, or neither?

The first step is find the zscore when X = 1030.

Then we find the pvalue of this zscore.

If this pvalue is bigger than 0.95, the county result is unusually high.

If this pvalue is smaller than 0.05, the county result is unusually low.

Otherwise, it is neither.

The national mean is 82%. So,

\mu = 0.82(1210) = 992.2

Z = \frac{X - \mu}{\sigma}

Z = \frac{1030 - 992.2}{12.38}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.This means that the county result is unusually high.

4 0
2 years ago
Other questions:
  • A submarine submerged at a depth of -32.25 meters dives an additional 8.5 meters. What is he new depth of the submarine?
    7·2 answers
  • A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from
    14·2 answers
  • Conrad is an architect who has just been sued because a building he helped design has collapsed and injured several people. What
    13·1 answer
  • a ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s . the height of the
    14·2 answers
  • Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing th
    10·2 answers
  • Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr
    11·2 answers
  • SunDrop Candies Inc claims that their 3 ounce bag of candies contains over 90 pieces of candy.
    6·1 answer
  • A major videocassette rental chain is considering opening a new store in an area that currently does not have any such stores. T
    14·1 answer
  • The number that is 75% of one less than a number n.
    5·1 answer
  • Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!