(8 – 10i) – (-16 + 2i)

Answer:

n2

Step-by-step explanation:i did this last year

Answer: n = 4

Step-by-step explanation:

Divide both sides by 3

n+2=3(6−n)

Expand

n+2=18−3n

Subtract 2 from both sides

n=18−3n−2

Simplify 18−3n−2 to −3n+16.

n=−3n+16

Add 3n to both sides

n+3n=16

Simplify n+3n to 4n

4n=16

Divide both sides by 4

n= 4/16

​

Simplify 16/4 to4

n=4

Answer:

hope you can now substitute and find y

Step-by-step explanation:

......................................................

Answer:

im pretty sure its 1.63

Step-by-step explanation:

lmk if im wrong

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

Answer:

12mx

Step-by-step explanation:

Given that

The monthly payment was m dollars

And, they used more electricity

We need to determine the value that should be expressed in algebraically

The Monthly payment is m dollars

Using balance billing, it would be mx dollars

So, the equation is

= mx × 12

= 12mx

hence, the same would be relevant and considered too

Answer:

576

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation: a horizontal line has no slope

Answer:

-2 -4 -6 -8

Step-by-step explanation:

I got the answer off of khan academy

Answer:

Di ko po alam sorry

Step-by-step explanation:

Di ko alam putaenamo

Answer:

This question seems incomplete

Answer:

answer: scale factor is 3

Hope this helps

Answer:

ans :; scale factor is 3

this is the correct ans.

Answer:

x = 11

Step-by-step explanation:

8/4 = (x+5)/(x-3)

cross-multiply:

8(x-3) = 4(x+5)

8x - 24 = 4x + 20

4x  = 44

x = 11

Answer:

Step-by-step explanation:

X=11

The longest known is double than samallest known

2(x-3) = x+5

2x-6 = x+5

x= 11

                   11-3 = 8

                   11+5 = 16

Sides of the known triangle    8,7,4     (side 8 double than side 4)

Sides of the similar triangle       16,14,8   (side 16 double than side  8 )

Answer:

If the slashes mean divisions and the x means multiplication, the answer would be 25a²/4/5

Answer:

b. It is a symmetric distribution, as the mean and the median are the same.

Step-by-step explanation:

Normal distribution:

The biggest characteristic of the normal distribution is that it's symmetric, that is, 50% of the values are below the mean and 50% are above, which means that the mean is the same as the median.

This means that the correct answer is given by option b.

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

[tex]\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}[/tex]

[tex]\text{We would have to identify what each number stands for.}[/tex]

[tex]\text{For example, 3 in 32,456 stands for 30,000.}[/tex]

[tex]\text{Hence, following this rule, we can conclude that the answer above is correct.}[/tex]

[tex]\text{I hope I helped you suceed!}[/tex]

Answer:

ABCD in statement and the other in reasoning

Step-by-step explanation:

Answer:

30 cubic inch

Step-by-step explanation:

Answer:

x + (3-2) = 12

Step-by-step explanation:

x + (3-2) = 12

or x + 1 = 12

so x = 11

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Answer:

The mean is 78

The Median is 80.5

And The Mode is 58.

Step-by-step explanation:

(Mean) 86,75,97,58,94, and 58 equal 468. Divide it by 6 (The Total Of All The Numbers) and it gives you 78.

(Mode) Find the number that occurs the most which would be 58.

(Median) Put the numbers in order. Order: 58,58,75,86,94,97. Next, your supposed to find the number in the middle, but since there are 2(75 and 86.)

Add them together and you get 161. After that, divide them by 2 and it'll give you 80.5

By the way, if the number of numbers in the problem add up to be an even number, divide it by 2 and find the average. If it's odd, divide it by 2 and round it up to get to the median.

So yes, the teacher should use the scores to convince Maria that she needs to study more regularly for her exams.

The mean, median, or mode of the exam scores is 78, 86 and 58

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

Given data: 58, 58, 75, 86, 94, 97

1. Mean= sum of observation/ Total number observation

= 58+58+75+86+94+97/6

=468/6

=78

2. Median,

Since, n is even

median= (n/2)+ 1

= 6/2 + 1

= 3+1

=4 th term= 86

3. Mode: Mode is the repeating data

mode= 58

Learn more about mean , median and mode here:

https://brainly.com/question/15323584

#SPJ2

Answer:

-4

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-13 - 9

When both the numbers have the same sign, we add them. After adding we put the same sign of the numbers to the answer

I personally think yes.

Answer:

2×8=16

7×3=21

2/3 + 7/8 = 16/24 + 21/24

Answer:

The margin of error is of 623.2016.

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. The population standard deviation for Compound 1 is 4414 miles.

This means that [tex]\mu_1 = 37866, s_1 = \frac{4414}{\sqrt{243}} = 283.16[/tex]

A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. The population standard deviation for Compound 2 is 2368 miles.

This means that [tex]\mu_2 = 45789, s_2 = \frac{2368}{\sqrt{268}} = 144.65[/tex]

Distribution of the difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.

The mean is:

[tex]\mu = \mu_1 - \mu_2 = 37866 - 45789 = -7923[/tex]

The standard deviation is:

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{283.16^2 + 144.64^2} = 317.96[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 1.96*317.96 = 623.2016[/tex]

The margin of error is of 623.2016.

The lower end of the interval is the sample mean subtracted by M. So it is -7923 - 623.2016 = -8546.2016

The upper end of the interval is the sample mean added to M. So it is -7923 + 623.2016 = -7299.7984

The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).