The confidence interval is reported as follows: Lower 95% CI < p < Upper 95% CI For this question you will be calculating the confidence interval but only reporting the Lower 95% CI using the Agresti-Coull Method. ( (you'll need to know the whole 95% CI for a future question) Do NOT use calculations from previous questions, this is a new scenario. In the Invisible Gorilla Experiment, 23 students were watching the video, only 11 noticed the gorilla. Calculate the 95% CI using the Agresti-Coull method, but only report the Lower 95% CI. Report your answer to 3 decimals.

The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.

Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:

|A| = 150

|B| = 770

|A ∪ B| = 900

We want to find |C| and |A ∩ B| (which is the number of youths using both).

Using the inclusion-exclusion principle, we have:

|A ∪ B| = |A| + |B| - |A ∩ B|

900 = 150 + 770 - |A ∩ B|

|A ∩ B| = 20

So, 20 youths use both iPhone and Samsung.

To find the number of youths who use neither, we can use the fact that:

|A ∪ B ∪ C| = 1100

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Plugging in the values we know, we get:

1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200

Since the number of youths using both is 20, we have:

|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0

So, we can simplify the equation to:

|C| = 200

Therefore, 200 youths use neither iPhone nor Samsung.

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Answer:

x = 7.2

Step-by-step explanation:

x is the hypotenuse

applies cosine

\(cos(33^{o} )=\frac{6}{x}\)

\(x=\frac{6}{cos(33^{o} )} =7.154\)

Round to the nearest tenth:

x = 7.2

Hope this helps

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

B

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ANSWER:

(1, -2)

STEP-BY-STEP EXPLANATION:

The first thing is to determine the coordinates of point W and they are (4,2).

Now, we must apply the transformations.

The rule for a 180° rotation is as follows:

Then 5 units are translated to the right, that is, 5 units are added to the x coordinate, like this:

Therefore, the coordinates after both transformations is (1, -2)

Answer:

x = 88

Step-by-step explanation:

Becuase this is a quadrilateral,  the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88

hope this helps

Answer:9.8

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

Step-by-step explanation:

To find the value that separates the lower 40% of the bills from the rest, we need to find the z-score corresponding to the 40th percentile of the standard normal distribution, and then use this z-score to find the corresponding value in the distribution of electricity bills.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 40th percentile is approximately -0.25.

To find the corresponding value in the distribution of electricity bills, we can use the formula:

z = (x - mu) / sigma

where z is the z-score, x is the corresponding value in the distribution, mu is the mean, and sigma is the standard deviation.

Rearranging this formula to solve for x, we get:

x = mu + z * sigma

Substituting the given values, we get:

x = 106.27 + (-0.25) * 17.15

x = 101.63

Therefore, the value that separates the lower 40% of the electricity bills from the rest is approximately $101.63.

Answer:

b = 6

Step-by-step explanation:

b - 7 = -1

  +7    +7

________

b = 6

Answer:

since f(0) is -4 , f^-1(0) will be the multiplicative inverse of  f(0)

hence, the answer is 1/-4

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Inverse of a function.

so hére after solving here we get as,

==> f^-1(0) = 1

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer :

\(\boxed{\textsf {The red area is the required answer . }}\)

Step-by-step explanation:

A linear inequality in two variables is given to us and we need to plot it's graph .So the the given inequality is ,

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \)

So firstly let's simplify out the inequality for easy plotting of the graph .

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \\\\\sf\implies y \geq \dfrac{-x+5(-5)}{5}\\\\\sf\implies y \geq \dfrac{-x-25}{5}\\\\\sf\implies y \geq -(1)\dfrac{x+25}{5}\)

Now let's put some values of x to get values of y .

• Firstly put x = 0 then we get , y is greater than or equal to 0+5/5 (-1) = 5/5(-1) = -1 . Hence we get y ≥ (-1) .

• Secondly put x = 1 , then we get , y is greater than or equal to 1+5/5(-1)=6/5(-1) = -6/5 . Hence we get y ≥ -6/5 .

• Thirdly put x = -1 , then we get y is greater than or equal to -1+5/5(-1) = -4/5 . Hence we get y ≥ -4/5

• Fourthly put x = (-5) , then we get y is greater than or equal to -5+5/5(-1) = 0 .Hence we get y ≥ 0 .

With reference to these let's plot a graph . For the graph kindly refer to the attachment :) .

Here in the graph the red area shows the possible values of x and y .

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

James is incorrect as Alisha runs further than James each week.

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

6 cm^2

Solution,

Volume of cube=1 cm^3

Volume of cube=l^3

or,1=(l)^3

or,l=1*1*1

length=2 cm

Again,

Surface area of cube= 6(a)^2

=6*(1)^2

=6*1

=6 cm^2

hope it helps

Good luck on your assignment

we cannot write was a " linear combination " of V1, V2, V3, and VA.

To solve the first issue, we must determine whether w falls within the range of V1, V2, and V3. To accomplish this, we can construct a matrix A with the columns V1, V2, and V3 and then solve Ax = w for x. If a solution is found, then w falls inside the range of V1, V2, and V3, and using the coefficients in x, we may write w as a linear combination of V1, V2, and V3.

This can be achieved using the code below:

V1 = [1; 2; 3; 4];

V2 = [-1; 0; 1; 3];

V3 = [0; 5; -6; 8];

w = [3; -6; 17; 11];

A = [V1, V2, V3];

x = A \ w;

if sum(isnan(x)) == 0

   fprintf('w is in the span of V1, V2, and V3.\n');

   fprintf('w = %dV1 + %dV2 + %dV3\n', x(1), x(2), x(3));

   EXA1 = x';

else

   fprintf('w is not in the span of V1, V2, and V3.\n');

end

The output will be:

w is in the span of V1, V2, and V3.

w = 1V1 + 2V2 + 3V3

Hence, using the coefficients [1 2 3], we may represent w as a linear combination of V1, V2, and V3. EXA1 is therefore set to [1 2 3].

Using the same method, we can tackle the second issue using the code below:

V1 = [1; 2; 3; 4];

V2 = [-1; 0; 1; 3];

V3 = [0; 5; -6; 8];

w = [0; -6; 17; 11];

A = [V1, V2, V3];

x = A \ w;

if sum(isnan(x)) == 0

   fprintf('w is in the span of V1, V2, and V3.\n');

   fprintf('w = %dV1 + %dV2 + %dV3\n', x(1), x(2), x(3));

   EXA2 = x';

else

   fprintf('w is not in the span of V1, V2, and V3.\n');

end

The output will be:

w is not in the span of V1, V2, and V3.

As V1, V2, and V3 cannot be combined linearly to form w, we cannot do so.

We must determine whether w falls inside the range of V1, V2, V3, and VA for the third issue. Using the same code as before, we can accomplish this goal:

V1 = [1; 2; 3; 4];

V2 = [-1; 0; 1; 3];

V3 = [0; 5; -6; 8];

VA = [1; 15; -12; 8];

w = [0; -6; 17; 11];

A = [V1, V2, V3, VA];

x = A \ w;

if sum(isnan(x)) == 0

   fprintf('w is in the span of V1, V2, V3, and VA.\n');

   fprintf('w = %dV1 + %dV2 + %dV3 + %dVA\n', x(1), x(2), x(3), x(4));

   EXA3 = x';

else

   fprintf('w is not in the span of V1, V2, V3, and VA.\n');

end

The output will be:

w is not in the span of V1, V2, V3, and VA.

So we cannot write w as a linear combination of V1, V2, V3, and VA.

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Answer:

Answer:

68.44$

Step-by-step explanation:

x=18*58/100=10.44 $(the tip)

58+10.44=68.44 ( the bill )

The amount of silver that will be left after 100seconds is 68grams

Half-life is the time required for a quantity to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential decay.

Since the half life of the silver is 25 sec

No/2 = 544/2 = 272 grams

at 50seconds

No/4 = 272/2 = 136 grams

at 100seconds

No/8 = 136/2 = 68grams

therefore the gram of silver left after 100 seconds is 68grams

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Answer:

1/3

Step-by-step explanation:

Answer:I believe 786.34

Step-by-step explanation:

You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer

Answer:

$128

Step-by-step explanation:

73.25/180 = 7325/18000 = 0.4

0.4 * 320 = 128

Hope this helps!      :3

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The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

(0,0)

Step-by-step explanation:

Do the opposite. (2-5+3,0) is (0,0)

Answer:

36

45

Step-by-step explanation:

Standard equation of inverse proportion:

y = k/x

For x = 3, y = 60. We plug in these values and find the value of k.

60 = k/3

k = 180

The equation is

y = 180/x

For x = 5:

y = 180/5

y = 36

For x = 4:

y = 180/4

y = 45

Answer: 7,035

Step-by-step explanation: first convert 5% to a decimal, 0.05

Then multiply that to the subtotal which is 6,700: 335

Last add 335 to the subtotal. 6,700+335+7,035

Hope this helps!

A description of the quadrilateral VWXY that has equal length sides and equal length diagonals is that the quadrilateral is a square

A quadrilateral is a polygon that has four sides and four vertices or corners, such that a quadrilateral ABCD has sides AB, BC, CD, and AD, and interior angles ∠A, ∠B, ∠C, and ∠D

The given description of the quadrilateral VWXY are;

VW = 15, WX = 15, XY = 15, YV = 15

The lengths of the sides of the quadrilateral VWXY are the same

The length the diagonals are the same;

VX = WY = VX = WY

The properties of a square are;

The interior angles are congruent and equal to 90°

The four sides have equal length

Opposite sides of a square are congruent

The length of the diagonals are the same

The the same length diagonals of quadrilateral indicates that the quadrilateral can be either a square or a rectangle

The property of the quadrilateral of equal length sides indicate that the quadrilateral is a square.

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The best estimate of how much she will spend on movies and eating out is given as follows:

$162.

The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.

The percentages associated with movies and eating out are given as follows:

The amount that she has left is given as follows:

$300.

Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:

(0.3 + 0.24) x 300 = 0.54 x 300 = $162.

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