Assume that a random variable is normally distributed with a mean of 1,300 and a variance of 271. Complete parts a
through c below.
a. What is the probability that a randomly selected value will be greater than 1,350?
The probability is
(Round to four decimal places as needed.)

Answer:

Hi

Step-by-step explanation:

In

Answer:

C.)

Step-by-step explanation:

that is exactly the definition of the derivative.

the derivative is the limit of

(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h

with h going to 0.

this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.

Step-by-step explanation:

it's step by step explanation

Solution:

Given the graph:

(a) The coordinates of P(x,y) and Q(x,y) are;

(b) The gradient, m of the line segment is;

Thus;

(c) The equation of the line is;

Thus;

(d) The length of the line segment PQ is;

Thus;

(e) The midpoint, MP of the line segment is;

Thus;

Answer:

percent error is 11.1%  (which agrees with answer B)

Step-by-step explanation:

The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft

Then the percent difference is calculated as:

(difference / real value) * 100 = ( 0.5 / 4.5ft  ) * 100 =  11.1%

The probability of both coins landing on heads when two coins are tossed is 1/4, or 0.25, or 25%.

When two coins are tossed, there are four possible outcomes: both coins can land on heads (HH), both coins can land on tails (TT), the first coin can land on heads and the second coin on tails (HT), or the first coin can land on tails and the second coin on heads (TH).

Since we are interested in the probability of both coins landing on heads, we need to determine the number of favorable outcomes (HH) out of the total number of possible outcomes.

Out of the four possible outcomes, only one outcome is favorable (HH). Therefore, the probability of both coins landing on heads is 1 out of 4.

In fraction form, this can be written as 1/4. The probability can also be expressed as a decimal, which is 0.25, or as a percentage, which is 25%.

It's important to note that in this case, we assume that the coins are fair and unbiased, meaning that the probability of landing on heads is equal to the probability of landing on tails, which is 1/2 or 0.5 for each coin individually.

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Answer:

1.08

0.005

To calculate the percentage greater than 100%

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

If your answer is a negative number, then this is a percentage decrease.

Converting a percent that is greater then 1% but less then 100%:Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

Answer: Attach the file with youre work and if it says sorry someone else is working on this post another question

Step-by-step explanation:

Answer:

there are 51 cars and 34 trucks

hope this helps

Step-by-step explanation:

Answer: A

Step-by-step explanation: the median is 39.7 (you can round to 40) and the median line marks around there

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

√6+5 < 6+√5​

Step-by-step explanation:

Answer:

√6+5<6+√5

Step-by-step explanation:

√6+5=7.44948974278

6+√5​=8.2360679775

The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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Answer:

The answer is 204 square cm.

Step-by-step explanation:

You are asking for the surface area, and while calculating the surface area you will multiply the quantities.

Surface Areas: 17 cm multiply 12 cm

17 X 12 = 204

The answer is 204 sq. cm

Answer:

204

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question the points is (5, -4) and slope - 2/5

The equation is

\(y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4\)

We have the final answer as

\(y = - \frac{2}{5} x - 2 \\ \)

Hope this helps you

The bisector of an angle construction is illustrated above the perpendicular to a given line. Here option C is the correct answer.

If a line or ray splits an angle into two equal angles, it is said to be an angle bisector. These angles will agree since they are equal.

Think about the angle ∠ABC being bisected by a line MB, as depicted in the accompanying image (a).

The angle ∠ABC is divided by this line MB into two equal angles, the angle ∠ABM and the angle ∠CBM.

The angles ∠ABM and ∠CBM are congruent.

Alternatively put, m ∠ABM  = m ∠CBM.

Since this line MB divides the angle ∠ABC into two equal angles, the angle ∠ABM and the angle ∠CBM, "the bisector of an angle" would be the appropriate response.

Complete question:

Which construction is illustrated above?

A - a perpendicular to a given line at a point on the line

B - an angle congruent to a given angle

C - the bisector of an angle

D - a line segment congruent to a given line segment

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Answer:

43.6 has 3 significant figures.

It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

Answer:12

for every 2 boys that is 3 girls

there are 4 sets of two boys so you would have 4 sets of 3 girls

4×3=12

I hope this is good enough:

Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .

Required:

The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.

Solution;

The given information in option [1] are;

Option [2]

Option [3]

Option [4]

Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.

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Answer:  1/4 first box  33/16 second box

Step-by-step explanation:

look at pictures for AnSwEr

Answer:

C. 88 in.

Step-by-step explanation:

This is because the equation for the circumference of a circle is pi times diameter. To get the diameter, multiply the radius by 2. Then do 28*3.14 to get the circumference of the circle then round your answer to get the nearest whole number which is 88 in.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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The probability that O and E are together in a randomly arranged word "COMPUTER" is 0.25, or 25%.

Statistics and probability theory both make substantial use of probability, which is a measure of the possibility or chance of an event occurring. A number between 0 and 1, where 0 denotes an event that is impossible and 1 denotes an event that is certain, is used to indicate the likelihood of an occurrence.

We must count the number of favourable possibilities—those that match the event of interest—and divide that number by the total number of potential outcomes in order to calculate the probability of an occurrence.

There are 8 letters in the word, so the total number of arrangements is 8! = 40,320.

For O and E to be together we consider it as a sing letter, thus:

There are 7! ways to arrange the letters of new word.

Now, OE can be written as OE or EO thus:

2 x 7! = 10,080

Now, the probability of O and E together is:

Probability = 10,080 / 40,320

Probability = 0.25

Hence, the probability that O and E are together in a randomly arranged word "COMPUTER" is 0.25, or 25%.

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Answer:

Equation of the line is: \(x=6\)

Step-by-step explanation:

We know that , the equation of any line parallel to y axis is :

\(x=k\)    where \(k\) ia a constant

And here it is given that the line is passing through the point P(6,-3)

Therefore, it will satisfy the equation \(x=k\).

So, substitute \((6,-3)\) in equation \(x=k\), we get

\(k=6\)

Hence the equation of line will be \(x=6\)