1answer.
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
Gnoma [55]
3 years ago
14

Among all pairs of numbers with a sum of 185, find the pair whose product is maximum. write your answers as fractions reduced to

lowest terms.
Mathematics
2 answers:
pochemuha3 years ago
7 0
The product of the two numbers that are each half of 185 will be the maximum
.. 185/2 and 185/2
Juliette [100K]3 years ago
3 0

Two numbers that we can chose here are half of 185 each.

As they will give us maximum product.

So the two numbers would be 185/2 and 185/2

Product = \frac{185}{2}  * \frac{185}{2}

On multiplying we will get,

34225/4

Answer : The two numbers are 185/2 and 185/2.

You might be interested in
A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq
Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

s=16.6 represent the sample deviation

\bar X=12.8 represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

\alpha=1-0.99=0.01 represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448

12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0
3 years ago
Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 40 x squared equals y
Galina-37 [17]

Answer:

2, 8, 90, 160

that is the focal, vertex l, direction

5 0
3 years ago
If<br> 4x + y = 13<br> - y = 2<br> then y =
ira [324]

Answer:

y = 2

Step-by-step explanation:

-y = 2, that means y = opposite of 2, which is -2

<em>Hope that helps! :)</em>

6 0
3 years ago
Read 2 more answers
Determine the slope and y-intercept of the line.<br> y = -69x - 346
Tpy6a [65]

Answer:

Slope: -69

Y-intercept: -346 or (0, -346)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -69x - 346

    m = -69

    b = -346

6 0
3 years ago
Write an equation in slope-intercept form for the line with y-intercept 1 and slope 3/4
riadik2000 [5.3K]

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which best approximates the location
    9·2 answers
  • What is the area of the shape ahown​
    9·1 answer
  • Write 68,127,000,000,000,000 in scientific notation. (x10^​
    14·2 answers
  • You purchase 5 pounds of apples and 2 pounds of oranges for $9.your friend purchases 5 pounds of apples and 6 pounds of oranges
    7·1 answer
  • Using the quadratic formula, solve the equation: 5.1x^2-1.7x-3.2
    12·1 answer
  • At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
    5·1 answer
  • The positive multiples of a whole number were listed from least to greatest. If the third multiple was 42, what was the 5th mult
    11·1 answer
  • Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. Afte
    13·1 answer
  • A
    14·1 answer
  • If t(d) = 3d + 1 and d(n) = 4n + 2, what is t(d(n)) when n = 5​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!