All categories

3 years ago

What is the best estimate for 1/5 + 7/8

Mathematics

1 answer:

VikaD [51]3 years ago

4 0

Answer:

0+1=1

Step-by-step explanation: 1/5 is close to 0 on a fraction number line, and 7/8 is close to 1 whole.

You might be interested in

Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average

algol [13]

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

4 0

3 years ago

A marketing research firm wishes to determine if the adult men in Laramie, Wyoming, would be interested in a new upscale men’s c

djverab [1.8K]

Answer:

The population of interest is composed by all mean that live in Laramie.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this question:

Sample of 100 men from Laramie. This means that the population of interest is composed by all mean that live in Laramie.

3 0

3 years ago

Which binomial is a factor of 49x2 + 84 xy + 36y2?

bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

Step-by-step explanation:

Given expression is $49x^2+84xy+36y^2$

To find the binomial factor :

$49x^2+84xy+36y^2$

Rewritting the above expression as

$=7^2x^2+2(7)(6)xy+6^2y^2$

$=(7x)^2+2(7x)(6y)+(6y)^2$

$=(7x+6y)^2$ ( using the formula $=(a+b)^2=a^2+2ab+b^2$ here a=7x and y=6y )

$=(7x+6y)(7x+6y)$ ( using the formula $=(a+b)^2=(a+b)(a+b)$ )

Therefore $49x^2+84xy+36y^2=(7x+6y)(7x+6y)$

(7x+6y) is a binomial factor of the given expression $49x^2+84xy+36y^2$

7 0

3 years ago

Please help me with this ASAP

Natasha2012 [34]

Number 1 should be the one with the graph

6 0

3 years ago

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

ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that 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 an angle about 35 degrees above the horizontal.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$