Katy and Matt are playing a card game.
Katy has 6 cards. Matt has 5 more cards than Katy.
How many cards does Matt have?
cards

The p value for your hypothesis test is 0.0832.

To calculate the p-value for a hypothesis test, we need to know the null hypothesis, the alternative hypothesis, the test statistic, and the level of significance (alpha). Let's assume that the null hypothesis is that the percentage of American families owning stocks or stock funds is equal to 50%, and the alternative hypothesis is that it is not equal to 50%.

The test statistic for a hypothesis test of a proportion is given by:

z =   \(\frac{p-P}{\sqrt{\frac{P(1-P)}{n} } }\)

where p is the sample proportion (0.46), P is the hypothesized population proportion under the null hypothesis (0.5), n is the sample size (300), and sqrt denotes the square root function.

Plugging in the values, we get:

z =   \(\frac{0.46-0.5}{\sqrt{\frac{0.5*0.5}{300} } }\)    = -1.732

To find the p-value, we need to find the area under the standard normal curve to the left and right of the test statistic (since this is a two-tailed test). Using a standard normal table or calculator, we find that the area to the left of -1.732 is 0.0416, and the area to the right is also 0.0416 (since the standard normal curve is symmetric).

Therefore, the p-value for this hypothesis test is the sum of the areas in both tails:

p-value = 0.0416 + 0.0416 = 0.0832

Rounding to four decimal places, the p-value is 0.0832.

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Step-by-step explanation:

50 is the answer I

jjsndn

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

Answer:

15.51

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

8×19= 152  

1 : 4.5  

152×4.5=684  

Answer:

Repuestas:B  

Step-by-step explanation:

Answer:

B..........................

Answer:

Page 1::1 & 3 & 4

Page 2:6

Page 3:8/1

Page 4:15 3/4

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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If f: Z₅→Z₅ be a random permutation function , then the Probability , Pr[f(2)=2| f(0)=0 and f(1)=1] is 1/60  .

Let f: Z₅→Z₅ be a random permutation function ;

There are n! permutations functions defined on set of n elements ;

So , the total number of permutations defined on Z₅ is 5! = 120 ;

Now , if f(2) = 2 , f(0) = 0 and f(1) = 1 , then the remaining elements of Z₅ are 3 and 4 .

So , the possible images of 3 and 4 are f(3) = 3 ⇒ f(4) = 4 ;

or f(3) = 4 ⇒ f(4) = 3 .

So , there are only 2 such permutations ,

⇒ Pr[f(2)=2| f(0)=0 and f(1)=1] = 2/120 = 1/60 .

Therefore , the probability Pr[f(2)=2| f(0)=0 and f(1)=1] is = 1/60 .

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The given question is incomplete , the complete question is

Let f : Z₅→Z₅ be a random permutation function. what is Pr[ f(2)=2| f(0)=0 and f(1) = 1 ]? Express your answer as a reduced fraction without any spaces (e.g., 1/10 and not 2/20 or 0.1), or as 0 or 1, if appropriate.

Answer:

Option D

Step-by-step explanation:

If the whole grid is considered to be 1,

Each small grid will value = \(\frac{1}{100}=0.01\)

There are 72 shaded grids which represent the hundreds = 0.72

When these grids have been divided into 9 equal rows, number of grids in each row = 8

And the value of 8 grids in each row = 0.01 × 8 = 0.08

So the equation is,

0.72 ÷ 9 = 0.08

Therefore, equation represented by the model will be Option (D).

Answer:

D: (0,3)

Step-by-step explanation:

Answer:

just convert them all to one common measurement

Step-by-step explanation:

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = \(\sqrt{28}\)

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

\(\rm H^2 = P^2 + B^2\)

\(\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle\)

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

\(\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}\)  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

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For given dataset, Option A is the best choice of origin and scale for the graph.

What exactly is a data set?

A dataset is a collection of data that is organized and stored in a specific way for easy analysis and interpretation. It can be thought of as a set of observations or measurements collected for a specific purpose or study. A dataset can contain various types of data, such as numerical, categorical, or text data, and can be organized in different formats, such as spreadsheets, tables, or databases. Data sets are used in various fields, including statistics, machine learning, and data analysis, to derive insights and make informed decisions.

Now,

A is the most appropriate choice of origin and scale for this graph.

The x-axis represents the number of days, which is a discrete variable that is usually measured in whole units, so it makes sense to have a scale of 1 unit = 1 day.

The y-axis represents the number of raincoats, which is a continuous variable that ranges from 200 to 375 in this case. A scale of 1 unit = 100 raincoats would allow us to show the range of data without having a very large graph.

The origin is placed at (0 days, 100 raincoats) so that the entire range of data can be shown on the graph, without any data points being cut off.

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If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer:

1.6% of customers

Step-by-step explanation:

The vale of the given tangent function is tan(-3π/3) = 0, found using the unit circle.

To find the value of tan(-3π/3) without using a calculator, we can use the fact that tan(x) is equal to sin(x)/cos(x).

First, let's find the value of sin(-3π/3).

The sine function is periodic with a period of 2π, which means that

sin(x) = sin(x + 2π).

Since -3π/3 is equivalent to -π, we can find sin(-π).

The unit circle can help us with this. At -π radians, the x-coordinate is -1 and the y-coordinate is 0.

Therefore, sin(-π) = 0.

Next, let's find the value of cos(-3π/3). Similar to sine, the cosine function is also periodic with a period of 2π.

So cos(x) = cos(x + 2π).

Since -3π/3 is equivalent to -π, we can find cos(-π).

Using the unit circle again, at -π radians, the x-coordinate is -1 and the y-coordinate is 0.

Therefore, cos(-π) = -1.

Now, we can calculate the value of tan(-3π/3) using the formula

tan(x) = sin(x)/cos(x).

Plugging in the values we found, we have:

tan(-3π/3) = sin(-3π/3) / cos(-3π/3)

= 0 / (-1)

= 0.

So, the value of tan(-3π/3) is 0.

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Answer:

B

Step-by-step explanation:

5/1 is not equal to 6/2 or 7/3 or 8/4

Answer:

The answer would be B instead of D

If the terminal side of angle λ intersects the unit circle at point (-0. 358, 0. 934), the approximate decimal value of cot(λ) is -0.383.

To find the approximate decimal value of cot(λ), we first need to determine the values of x and y on the unit circle. Since the given point (-0.358, 0.934) lies on the unit circle, we can use the Pythagorean theorem to find the missing side:

x² + y² = 1
(-0.358)² + (0.934)² = 1
0.128 + 0.872 = 1
1 = 1

Therefore, we have x = -0.358 and y = 0.934. Since cot(λ) = cos(λ)/sin(λ), we can use the values of x and y to calculate the cosine and sine of λ:

cos(λ) = x = -0.358
sin(λ) = y = 0.934

Substituting these values into the formula for cot(λ), we get:

cot(λ) = cos(λ)/sin(λ) = -0.358/0.934 ≈ -0.383

Therefore, the approximate decimal value of cot(λ) is -0.383.

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Let's begin by identifying key information given to us:

Answer:

9x+64

Step-by-step explanation:

9x+8(6x+2)

9x+64

These values match the given sequence, so the function that describes the sequence is:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

According to one definition, a function is a relationship between a number of inputs where each input has exactly one output.

To find the function that describes the given geometric sequence, we need to find the common ratio r. We can do this by dividing any term in the sequence by the previous term:

11/5 = 2.2

29/11 = 2.63636...

83/29 = 2.86206...

We can see that the common ratio is increasing, which suggests that the sequence is not a perfect geometric sequence. However, the differences between the ratios are getting smaller, so we can approximate the sequence as a geometric sequence with a changing common ratio.

Let's use the first two terms of the sequence to find an initial approximation for the common ratio:

r ≈ 11/5 = 2.2

Then, we can write the nth term of the sequence as:

an = 5(2.2)ⁿ⁻¹

However, we noticed that the common ratio is increasing, so we need to adjust our formula to account for this. Let's try a formula where the common ratio is a linear function of n:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

Plugging in n = 1, 2, 3, and 4, we get:

a1 = 5(2.2 + 0.8182(1))⁰ = 5

a2 = 5(2.2 + 0.8182(2))¹ ≈ 11

a3 = 5(2.2 + 0.8182(3))² ≈ 29

a4 = 5(2.2 + 0.8182(4))³ ≈ 83

These values match the given sequence, so the function that describes the sequence is:

an = 5(2.2 + 0.8182n)ⁿ⁻¹

where n is the index of the term in the sequence.

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:

13.5pi inches^3

Step-by-step explanation:

the jar is a cylinder.

the volume of a cylinder is the height * base area, and the base area is a circle. the area of a circle is pi*r^2.

the radius is half the diameter, so it is 1.5.

the area of the circle is pi * 1.5^2 = 2.25pi.

multiply this by the height, and we get 13.5pi. the units is cubic inches, or inches^3.

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

Answer:

900

Step-by-step explanation:

rounded to the nearest hundred

700 + 200 = 900