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3 years ago

Solve for z. -10-z=10+2z+2z

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

7 0

Answer:

z=-4

Step-by-step explanation:

Simplify 10 + 2z + 2z to 10 + 4z

Add 10 to both sides

Simplify 10 + 4z + 10 to 4z + 20

Subtract 4z from both sides

Simplify -z - 4z − z− 4z to -5z − 5z.

Divide both sides by -5 − 5

Simplify 20 / 5 to 4

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If the sumof two numbers,n and m,is rational,which statement is true?

Nataly_w [17]

Option B:

Both n and m must be rational.

Solution:

Given information:

Sum of two numbers, n and m are rational.

To find which statements are true:

Option A: Both n and m may be rational but do not have to be.

It is not true because n and m given is rational.

It have to be rational.

Option B: Both n and m must be rational.

Yes, n and m must be rational then only the sum of numbers are rational.

It is true.

Option C: Both n and m must be irrational.

Sum of irrationals will be sometimes irrational and sometimes can't add.

So it is not true.

Option D: One number is rational and the other is irrational.

Rational and irrational cannot be add.

So it is not true.

Option B is true.

Both n and m must be rational.

5 0

2 years ago

Marco is making three tiles pictures. he uses 310 green tiles to make each picture. he uses 50 fewer red tiles than green tiles

Anettt [7]

Hi there!

To solve this problem, we need to first find the amount of red tiles he used by subtracting 50 from 310, and then finding the sum of the two numbers.

310 - 50 = 260

Now, we know that there are 260 red tiles.

3 * 310 = 930
3 * 260 = 780

930 + 780 = 1710

So, the answer is 1710 tiles total.

Hope this helps!

7 0

3 years ago

Can someone also help me with this please and thankss

VMariaS [17]

Answer: The measure of angle 3 is 50 degrees.

Step-by-step explanation:

We know that angle 2 is 130 degrees.

Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.

So angle 1 and angle 2 are 130 degrees.

Add up both angle 1 and angle 2, 130 + 130 = 260.

Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.

Subtract 260 from 360, 360 - 260 = 100.

Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.

So, angle 3 is 50 degrees.

8 0

2 years ago

Read 2 more answers

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

In Problems 1-8, determine the level of measurement of each variable.

lbvjy [14]

The level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Level of measurement is used in assigning measurement to variables depending on their attributes.

There are basically four (4) levels of measurement (see image in the attachment):

1. Nominal: Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.

Examples of variables that fall under the measurement are: Favorite movie, Eye Color.

2. Ordinal: This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.

Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.

3. Interval Scale: this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has no true zero point.

Examples of the variables that fall here include: Monthly temperatures, year of birth of college students

4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.

Examples are: ages of children, volume of water used.

Therefore, the level of measurement of each given variable are:

1. Ordinal

2. Nominal

3. Ratio

4. Interval

5. Ordinal

6. Nominal

7. Ratio

8. Interval

Learn more about level of measurement here:

brainly.com/question/20816026

3 0

2 years ago