All categories

3 years ago

A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Mathematics

1 answer:

Artist 52 [7]3 years ago

6 0

Answer:

PART A :

AREA OF RECTANGLE = LENGTH × BREADTH

A = (4x + 5) (3x + 10)

A = 12(x^2) + 55x + 50

PART B: The above is a trinomial with the second degree. Trinomial because it has 3 terms and second degree because the variable(x) is squared.

PART C : Closure under addition and multiplication. Look at the signs.

You might be interested in

You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 don

Archy [21]

Answer:

Donuts(b) = 12*b

Step-by-step explanation:

Notice that the question is:

What's an expression to model the number of donuts in b boxes?

We know that we are talking of boxes of a dozen donuts.

We know that in one dozen, we have 12 donuts.

Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:

Donuts(b) = 12*b

There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:

See what is the thing we want to find (in this case, the number of donuts in b boxes)

Find the relevant information to solve this. (ignore the irrelevant information)

Solve the question.

3 0

3 years ago

What percent of 965 is<br> 1932

ankoles [38]

Answer: It is 202.1 lol

4 0

3 years ago

Read 2 more answers

A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat

fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0

3 years ago

If you could help me with this math packet,It would be great help

lapo4ka [179]

2.485 is round to 450 and 450 divide by 15 equals 30. 485 divide by 15 32 r 5

4 0

3 years ago

Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport

s344n2d4d5 [400]

Answer:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3420,495)$

Where $\mu=3420$ and $\sigma=495$

We are interested on this probability

$P(2450$

And we can use the z score formula given byÑ

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0

3 years ago