Mona solved an equation incorrectly, as shown below:

Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25

Which statement best explains why Step 2 is incorrect in Mona's solution?

She did not add 5 to 30.
She did not divide 30 by 5.
She did not multiply 30 by 5.
She did not multiply 30 five times.

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Answer: Yes because of x^2

Explanation:

I hope this helped!

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Answer:

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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.

Mean output of 429 watts with a standard deviation of 10 watts.

This means that [tex]\mu = 429, \sigma = 10[/tex]

Sample of 76:

This means that [tex]n = 76, s = \frac{10}{\sqrt{76}} = 1.147[/tex]

What is the probability that the mean amplifier output would be greater than 432.1 watts?

This is 1 subtracted by the pvalue of Z when X = 432.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{432.1 - 429}{1.147}[/tex]

[tex]Z = 2.7[/tex]

[tex]Z = 2.7[/tex] has a pvalue of 0.9965

1 - 0.9965 = 0.0035

0.0035 = 0.35% probability that the mean amplifier output would be greater than 432.1 watts.

Remove parenthesis, rearrange, and combine like terms.

7+i-6+4i

1i+4i+7-6

5i+1

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hope it helps

Answer:

$29.75

Step-by-step explanation:

$8.50 for 1 hour

So for 3 hours, it will be 8.50 + 8.50 + 8.50 equaling to 25.50

So far the total is $25.50 for 3 hours ONLY!

Now, for half of an hour it will be half of a price, making 8.50 into 4.25

Finally, add $25.50 + $4.25 giving you the totality of $29.75 as the final pay after working for 3 1/2 hours

Answer:

Wait, the vector from despicable me or the math vector?

Step-by-step explanation:

If its the math vector than here: The correct answer is a vector

Answer:

help on chemistry is help on math for you

To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)

(5-2) · 180 = 3 · 180 = 540.

Now, all we have to do is add up all of the angles:

75 + 126 + 126 + 81 + c = 540

c = 132

Answer:

Step-by-step explanation:

Given

Absolute value is always positive:

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

Answer:

Yes, she has 80 more inches

Why?

Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.

She has 80 more.

Hope it helps :)

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Answer:

a=101.223

Step-by-step explanation:

use SOCATOA

or an online calculator

https://www.calculator.net/triangle-calculator.html?vc=x&vx=z&vy=y&va=39&vz=125&vb=90&angleunits=d&x=59&y=16

Answer:

C

Step-by-step explanation:

The rotation of 90 degree anti clockwise makes more sense as the reflection is across the x axis shows us a line of symmetry above after the rotation of 90 degree anticlockwise at x axis (0) so that the rectangle is reflected ito (-8,-3)) (-3,-3) (-8,-6) (-3,-6)

Proving that the rectangle is 5cm long and 3cm high after 90 degree rotation and reflection from y axis to the x axis position in the far left corner.

Answer:

it is biased

Step-by-step explanation:

Answer:

to me it is at least $3000

Answer:

2580 seconds

Step-by-step explanation:

There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds

Answer: 0.0510 cm = 0.510 mm

Step-by-step explanation: zeros in the end of decimal number are significant.

Also 0.0510 cm has three significant numbers

Answer: 135/pi

Step-by-step explanation: Circumference is 16pi. So then 6/16pi is the fraction of the 360 arc measure of the entire circle that is the angle measure of the arc, so we multiply 6/16pi times 360 and yield 135/pi. Hope this helps!

Answer:

y=8 i think

Step-by-step explanation:

Answer: y=8

Step-by-step explanation: You divide 18y/18 to isolate y but what you do to one side you must do to the other do you divide 144/18 as well so get the answer of y=8

I hope this helps you or anybody!

Answering actually A

Step-by-step explanation:

Answer:

See below for proof

Step-by-step explanation:

[tex]\displaystyle \frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{(1+\sin x)(1-\sin x)}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{1-\sin^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{\cos x(1-\sin x)}{\cos^2x}\\\\\frac{\cos x}{1+\sin x}=\frac{1-\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\frac{1}{\cos x}-\frac{\sin x}{\cos x}\\\\\frac{\cos x}{1+\sin x}=\sec x-\tan x[/tex]

Answer:

New price is $12.75

New attendance is 57500

Step-by-step explanation:

For starters, we use the relation.

18 - 3x

Since we don't know the number of times we're expected to deduct $3 from the price.

Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.

Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be

(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0

Expanding the bracket, we have

[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have

900000 + 105000x - 30000x² = 0 or

-30000x² + 105000x + 900000 = 0

Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a

x = -105000 / 2 * -30000

x = -105000 / -60000

x = 1.75

From our earlier equations, the new price then is

18 - 3(1.75) = 18 - 5.25 = $12.75

The new attendance also is

40000 + 10000(1.75) =

40000 + 17500 = 57500

Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.​

----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------------------

The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.

This means that [tex]\mu = 170, \sigma = 20[/tex]

----------------------------

Less than 150:

As a proportion, it is the p-value of Z when X = 150, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 170}{20}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16.

0.16x100% = 16%

----------------------------

More than 190:

As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{190 - 170}{20}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84.

1 - 0.84 = 0.16

0.16x100% = 16%

----------------------------

Estimate the percent of the data that are less than 150 or greater than 190.​

We add both percentages, thus:

16% + 16% = 32%

32% of the data that is less than 150 or greater than 190.​

A similar question is given at https://brainly.com/question/14694610

Answer:

This is not a function

Step-by-step explanation:

Answer:

Here is the work I did yesterday for you

Step-by-step explanation: