All categories

3 years ago

(X+3)(x-4) what is the middle term in he simplified product?

Mathematics

2 answers:

Grace [21]3 years ago

8 0

Well, FOIL it first:

First

Outside

Inside

Last

x*x=x^2

x* -4= -4x

x*3= 3x

3* -4= -12

Together, the simplified product is:

x^2 + -1x-12

So, the middle term is -1

MakcuM [25]3 years ago

5 0

Answer:

The middle term is - x

Step-by-step explanation:

Use Foil

F: x * x = x^2

O: -4 * x = - 4x

I: 3*x = 3x

L: 3 * - 4 = -12

F+O+I+L = x^2 - 4x + 3x - 12

F+O+I+L = x^2 - x - 12

You might be interested in

Please I need help I will mark you brainliest

VladimirAG [237]

Answer:

you would subtract 7.4 from 7.4 and from 10.4 which leaves you with 1.25x=3 and then you would divide both side by 1.25 and that cancels out the 1.25 and leave you with 2.4 and you can plug 2.4 into x and it will equal 10.4

Step-by-step explanation:

7 0

3 years ago

The Institute of Management Accountants (IMA) conducted a survey of senior finance professionals to gauge members’ thoughts on g

DochEvi [55]

Answer:

(1) The probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.

(2) The two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.

(3) The two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.

Step-by-step explanation:

Let X = number of senior professionals who thought that global warming is having a significant impact on the environment.

The random variable X follows a Binomial distribution with parameters n = 100 and p = 0.65.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of p if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

Check the conditions as follows:

$np= 100\times 0.65=65>10\\n(1-p)=100\times (1-0.65)=35>10$

Thus, a Normal approximation to binomial can be applied.

So, $\hat p\sim N(p, \frac{p(1-p)}{n})=N(0.65, 0.002275)$ .

(1)

Compute the value of $P(0.64$ as follows:

$P(0.64$

$=P(-0.20$

Thus, the probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.

(2)

Let $p_{1}$ and $p_{2}$ be the two population percentages that will contain the sample percentage with probability 90%.

That is,

$P(p_{1}$

Then,

$P(p_{1}$

$P(\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$P(-z$

The value of z for P (Z < z) = 0.95 is

z = 1.65.

Compute the value of $p_{1}$ and $p_{2}$ as follows:

$-z=\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}\\-1.65=\frac{p_{1}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{1}=0.65-(1.65\times 0.05)\\p_{1}=0.5675\\p_{1}\approx0.57$ $z=\frac{p_{2}-p}{\sqrt{\frac{p(1-p)}{n}}}\\1.65=\frac{p_{2}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{2}=0.65+(1.65\times 0.05)\\p_{1}=0.7325\\p_{1}\approx0.73$

Thus, the two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.

(3)

Let $p_{1}$ and $p_{2}$ be the two population percentages that will contain the sample percentage with probability 95%.

That is,

$P(p_{1}$

Then,

$P(p_{1}$

$P(\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}$

$P(-z$

The value of z for P (Z < z) = 0.975 is

z = 1.96.

Compute the value of $p_{1}$ and $p_{2}$ as follows:

$-z=\frac{p_{1}-p}{\sqrt{\frac{p(1-p)}{n}}}\\-1.96=\frac{p_{1}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{1}=0.65-(1.96\times 0.05)\\p_{1}=0.552\\p_{1}\approx0.55$ $z=\frac{p_{2}-p}{\sqrt{\frac{p(1-p)}{n}}}\\1.96=\frac{p_{2}-0.65}{\sqrt{\frac{0.65(1-0.65)}{100}}}\\p_{2}=0.65+(1.96\times 0.05)\\p_{1}=0.748\\p_{1}\approx0.75$

Thus, the two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.

7 0

4 years ago

How do I find the slope from the first function?

Art [367]

Considering the linear function found in part a, we have that:

b) The slope is of AC.

c) The intercept is of AD + B.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The equation found in part a is:

A(Cx + D) + B.

Placing it in slope-intercept format, we have that it is given by:

ACx + AD + B.

Hence:

b) The slope is of AC, as it is the part that multiplies x.

c) The intercept is of AD + B, as it is the constant term.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0

2 years ago

100000000000000000000+10000000000000000

9966 [12]

Answer:

1.0001e+20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is 24/53 and 10/21 compared

xz_007 [3.2K]

Answer:

-0.02336028752

Step-by-step explanation:

0.45283018867 -0.47619047619

7 0

3 years ago

Read 2 more answers