PLEASEE HEEELP! In the normal distribution, 68% of the data lies within 1 standard deviation A: __/6 of the mean, 95% of the data lies within 2 standard deviations of the mean, and 99.7% of the data lies within 3 standard deviations of the mean. Answer the following question without using the Z-table. If scores on a test are normally distributed with mean 1100 and standard deviation 100, what percentage of the test scores are: a) more than 1300? b) less than 1100?

The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]

In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.

The given case can be shown as a continuous growth, with:

Initial population, P = 100,

Rate of growth, r = 200% = 2, and,

The time period, t years.

Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:

[tex]A = 100e^{2t}[/tex].

Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Learn more about continuous growth at

https://brainly.com/question/20115298

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Answer:

-y, x

Step-by-step explanation:

x values go from negative to positive and the y  values remain negative

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

Answer:

1. x = 3.

2. x = 9.5.

Step-by-step explanation:

1. 2x + 6 = 12

2x = 6

x = 3.

2. 5x - 15 = 3x + 4

5x - 3x = 4 + 15

2x = 19

x = 9.5.

Hope this helps!

Step-by-step explanation:

2x + 6 = 12

Send the constant to the right side of the equation

That's

2x = 12 - 6

2x = 6

Divide both sides by 2

5x - 15 = 3x + 4

Group like terms

We have

5x - 3x = 15 + 4

Simplify

2x = 19

Divide both sides by 2

Hope this helps you

Answer:

x² (x^n + 1)

Step-by-step explanation:

factor x^(n+2) + x²

= x^(n+2) + x²

= x^n • x² + x² (using law of indices)

= x²(x^n + 1)

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!

Answer:

its 3 units.

Step-by-step explanation:

Answer: 3 units

Step-by-step explanation:

Points A and B have the same y value.  Thus, subtract the x-values from each other to get 5 - 2 = 3.

Hope it helps <3

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

it is 210.8

Step-by-step explanation:

Answer:

39.5

Step-by-step explanation:

Let's figure out the equations of l and m first.

For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.

We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:

m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3

The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.

For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:

m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7

The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.

Taking the two equations, let's set 15 equal to y and solve for x:

y = (-5/3)x + 5  ⇒  15 = (-5/3)x + 5  ⇒  10 = (-5/3)x  ⇒  x = -6

y = (-2/7)x + 2  ⇒  15 = (-2/7)x + 2  ⇒  13 = (-2/7)x  ⇒  x = -91/2

Let's find the difference:

-6 - (-91/2) = 39.5

The answer is thus 39.5.

~ an aesthetics lover

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

any number that is greater than 7 can be a solution

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

Answer:

  D) G

Step-by-step explanation:

E evaluates to 3.8 +0 = 3.8 . . . not an integer

F evaluates to 0 +0.5 = 0.5 . . . not an integer

G evaluates to -8 +0 = -8 . . . an integer

H evaluates to 9/0 = undefined . . . not an integer

__

Expression G evaluates to an integer.

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Answer:

Step-by-step explanation:

14. x=4

vertical line(no slope) with one coordinate being (4,0)

15. y=2

horizontal line(no slope) with one coordinate being (0,2)

16. 2x-y=5

slope= 2; two coordinates are (0,-5) and (2,-1)

17. y-1=(x+3)

slope= 1; two coordinates are (-4,0) and (0,4)

HOPE THIS HELPS!!! :)

Answer:

y = -6x + 6

Step-by-step explanation:

To make an equation you need to find the slope first

To do that use the expression y2-y1/x2-x1 (-6)

Now plug that in to y = mx + b

Lastly you substitute any coordinate and find b

y = -6x + 6

Answer:C

Step-by-step explanation:

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

Answer:

[tex]\huge\boxed{(2;\ 4)}[/tex]

Step-by-step explanation:

We have

[tex]y>-x^2+5[/tex]

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]

For (2; 4) → x = 2, y = 4

[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]

For (1; 3) → x = 1, y = 3

[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]

Answer:

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

=====================================================

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

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

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from  {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

Answer:

[tex]\frac{n}{4}-1[/tex]

Step-by-step explanation:

If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.

Now, Harris is one of those friends so he receives  [tex]\frac{n}{4}[/tex]  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].

Hope this helped!

Answer:

(n/4 - 1) slices

Step-by-step explanation:

The pizza would be divided into n slices, which in turn would be split among 4 people:

   n slices

----------------- = (n/4) slices per person

  4 people          

Harris must have eaten (n/4 - 1) slices.

Answer:

8.6 cm

Step-by-step explanation:

V=pi r-squared h

diameter of 10 means radius of 5

675.1=3.14x5x5xh

675.1=78.5h

8.6

Answer:

b68

Step-by-step explanation:

Answer:

68 FEET

Step-by-step explanation:

B pls give me brainliest

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Answer: 16384

Step-by-step explanation:

Given: Total marbles = 7  (All are distinct)

Total jars = 4

Assume that, the jar is empty.

When we put marbles in the jar, we need to choose jar each time.

For each marble, total choices = Total jars = 4

Then, by using the fundamental counting principle,

The number of ways to put seven marbles in different colors into four jars =

[tex]4^7[/tex]

= 16384

Hence, the required number of ways =16384

Answer:

your answer is 16384

Step-by-step explanation:

have a nice day.