Ask question

Ask question

All categories

2 years ago

11

If 153=2(z+z)n153=2(z+z)n153, equals, 2, left parenthesis, z, plus, z, right parenthesis, n, then what is the value of 2n(2z)-19

32n(2z)−1932, n, left parenthesis, 2, z, right parenthesis, minus, 193?

1 answer:

Nostrana [21]2 years ago

8 0

What you must do for this case is to rewrite the first expression to find its value.
We have then:
153 = 2 (z + z) n
Rewriting:
153 = 2n2z
Then,
2n (2z) -193
Substituting
153-193 = -40
Answer:
the value of 2n (2z) -193 is
-40

You might be interested in

To determine what students at a school would be willing to do to help address global warming, researchers take a random sample o

erastovalidia [21]

Answer:

(ai) The correct answer is the first option; The amount of tax the student is willing to add to a gallon of gasoline.

(aii) The correct answer is the last option; Whether the student believes that global warming is a serious issue or not.

(b) The correct answer is the first option; two-sample t interval

Step-by-step explanation:

A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.

An explanatory variable simply means an independent variable. It doesn't depend on any other variable and at the same time, it can be manipulated.

In construct a 95% confidence interval to compare the two groups, two-sample t test is the appropriate t test to use.

7 0

2 years ago

Find the quantity q that maximizes profit if the total revenue, R(q), and total cost, C(q) are given in dollars by R(q)=3q−0.002

marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

$R(q)=3q-0.002q^{2}$ ---> the revenue

$C(q)=200+2.2q$ ---> the cost

The profit P(q) is equal to

$P(q)=R(q)-C(q)$

substitute the given values

$P(q)=(3q-0.002q^{2})-(200+2.2q)$

$P(q)=3q-0.002q^{2}-200-2.2q$

$P(q)=-0.002q^{2}+0.8q-200$

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0

2 years ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

2 years ago

W = 3x + 7y solve for y

mario62 [17]

Answer:

The value of the equation $y=\frac{W-3x}{7}$ .

Step-by-step explanation:

Consider the provided equation.

$W = 3x + 7y$

We need to solve the provided equation for y.

Subtract 3x from both side.

$W-3x= 3x-3x+ 7y$

$W-3x=7y$

Divide both sides by 7.

$\frac{7y}{7}=\frac{W-3x}{7}$

$y=\frac{W-3x}{7}$

Hence, the value of the equation is $y=\frac{W-3x}{7}$ .

8 0

2 years ago

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups—those with Ty

madreJ [45]

Answer:

The correct option is A) Nominal.

Step-by-step explanation:

Consider the provided information.

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups those with Type A personalities and those with Type B personalities.

Type of measurement scales:

Ratio: We can compare quantity as a multiple of one another.

For example: A father's weight is twice to his son.

Interval: Interval is the measurement scale in which each of the position is equidistant from another.

Level of excitement, rated from 1 to 5.

Ordinal: Ordinal measurement scale in which sets are in order by their position.

For example: First, second, third in a competition.

Nominal: Nominal data are objects distinguished by a straightforward scheme of naming.

For example: The employees in a office can be male or female.

Now, from the above definition it is clear that the type of measurement scale which can depict the scenario is Nominal.

Hence, the correct option is A) Nominal.

3 0

2 years ago