Problem
Aurelia has a coin that she suspects is unfair. She wants to test
H
0
:
p
=
0.5
H
0
​
:p=0.5H, start subscript, 0, end subscript, colon, p, equals, 0, point, 5 versus
H
a
:
p
≠
0.5
H
a
​
:p

​
=0.5H, start subscript, start text, a, end text, end subscript, colon, p, does not equal, 0, point, 5, where
p
pp is the proportion of flips that this coin lands showing heads.
She flipped the coin
100
100100 times and it landed showing heads
43
4343 of those times.
Which of the following represents the P-value for Aurelia's test?

Answer: 0.95m or 3/π

Step-by-step explanation:

Volume of cylinder = 2π[tex]r^{2}[/tex]*h

54 = 2π*9*h

divide 2π*9 on both sides

54/2π*9 = h

54/18π = h

3/π = h

h = 0.95 m

One example is 70:2. In the case of any non-zero number, this is a ratios of the form 35*k/k.

An set of points of numbers “ a ” and  “ b", represented as a / b, is a ratio if b is not equal to 0. The proportion is an expression that sets two ratios at the same value. If there are two boys and five girls, for instance, you may express the ratio as 2:5.

We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "cause" to "calculated" to "proportion."

To know more about ratio visit:

https://brainly.com/question/13419413

#SPJ1

The next number in the series 1\325,1\176,1/88,1/44,1/22 is 1/44.

Depending on whether the sequence is finite or infinite, the series might be either infinite or finite.

To find the pattern in the series, we can look at the denominators of the fractions. We can see that the denominators are getting multiplied by 2 in each successive term.

So the next term in the series would have a denominator of 1/11 * 2 = 1/22 * 1/2 = 1/44. Therefore, the next number in the series would be 1/44.

So the complete series is:

1/325, 1/176, 1/88, 1/44, 1/22, 1/44.

To learn more about series here:

https://brainly.com/question/11346378

#SPJ4

The probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).

What is Probability?

Probability is a mathematical concept used to measure the likelihood of a particular event occurring. It is a way of expressing the chance or possibility of an event happening, ranging from 0 (impossible) to 1 (certain).

In probability theory, an event is a subset of the possible outcomes of an experiment or a random process. Probability can be expressed in terms of fractions, percentages, or decimals.

The symbol for the event that a college student is female is A, as given in the statement. The symbol for the event that a college student has financial aid is B, as given in the statement.

So, A={A student is female} and B={A student has financial aid}.

These events are mutually exclusive because one does not necessarily affect the other. For example, a male student can have financial aid and a female student may not have financial aid. Hence, the occurrence of one event does not influence the occurrence of the other event.

Therefore, the probability of a college student being either female or having financial aid can be represented as the union of the events A and B. It can be denoted as P(A ∪ B) and is calculated as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Where P(A ∩ B) represents the probability of a student having both characteristics, i.e., being female and having financial aid.

However, as these events are mutually exclusive, P(A ∩ B) = 0. So the probability of a college student being either female or having financial aid is simply the sum of their individual probabilities:

P(A ∪ B) = P(A) + P(B) - 0

P(A ∪ B) = P(A) + P(B)

Hence, the probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).

Learn more about probability  click here:

https://brainly.com/question/251701

#SPJ1

Answer:

20

Step-by-step explanation:

snajakskdmcjwiwjcjf

Answer:

20

Step-by-step explanation:

70% is 70/100 = 0.70

20 x 0.70 = 14

The area of the figure is solved to be

The area of a kite is solved using the formula

= P * q / 2

Where

p = length of long diagonal

q = length of short diagonal

Using the figure the length can be traced to be

p = 3 - -5 = 3 + 5 = 5

q = 6 - 2 = 4

Area of the figure

= 5 * 4 / 2

= 20 / 2

= 10 square units

Learn more about area of a kite at:

https://brainly.com/question/26870235

#SPJ1

Answer:

[tex]-\dfrac{4}{5}[/tex]

Step-by-step explanation:

We have the following expression

[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x[/tex]

and asked to evaluate this expression at  [tex]\[x = {2\over\displaystyle 5\][/tex]

First convert [tex]3 \; \dfrac{1}{2}[/tex]   and  [tex]5 \; \dfrac{1}{2}[/tex]  to mixed fractions

[tex]3 \; \dfrac{1}{2} = \dfrac{3 \times 2 + 1}{2} = \dfrac{7}{2}\\[/tex]

[tex]5 \; \dfrac{1}{2} = \dfrac{5 \times 2 + 1}{2} = \dfrac{11}{2}[/tex]

Therefore
[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x\\\\= \dfrac{7}{2}x - \dfrac{11}{2}x\\\\= \dfrac{7 - 11}{2} x\\\\= -\dfrac{4}{2}x \\\\= -2x\\\\[/tex]

[tex]\mathrm{For \;x =\dfrac{2}{5}},\\\\= -2x \\= - 2 \times \dfrac{2}{5}\\\\= -\dfrac{4}{5}[/tex]

Answer:70% chance they vote yes

Step-by-step explanation:

Answer:

3/10 for red people and 7/10 for blue people.

Step-by-step explanation:

The temperature at 3 AM is about 53 degrees Fahrenheit.

The average kinetic energy of the particles in a medium, such as a gas, liquid, or solid, is measured by its temperature. It is a basic physical characteristic that governs the rate and amount of heat transmission between two bodies that are in thermal contact.

A thermometer is commonly used to measure temperature. It does this by detecting changes in a substance's physical characteristics that change with temperature, such as the expansion or contraction of a liquid or the resistance of a wire.

We are aware that a sinusoidal function models temperature, and the following information is crucial:

A high of 80 degrees is reached at 5 PM, or 17:00 in a 24-hour period.

The day's average temperature is 60 degrees.

We're looking for the temperature at three in the morning, or three in 24-hour time.

We can utilize the fact that the temperature moves through one full cycle in a 24-hour day to determine the frequency. As the time frame is 24 hours, the frequency is:

B = 2π/24 = π/12

To find the phase shift, we can use the fact that the high temperature occurs at 5 PM, which is 8 hours after noon (when the temperature starts to rise). So the phase shift is:

C = (8/24) * 2π = (1/3)π

To find the amplitude, we can use the fact that the temperature swings 10 degrees above and below the average. So the amplitude is:

A = 10

Finally, we can use the formula to find the temperature at 3 AM:

f(x) = A sin(B(x - C)) + D

f(3) = 10 sin(π/12(3 - (1/3)π)) + 60

f(3) ≈ 53.4

So the temperature at 3 AM is about 53 degrees Fahrenheit.

To know more about temperature visit:

https://brainly.com/question/24746268

#SPJ1

Answer:31.42 sq.

Step-by-step explanation:

5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.

Let say, total number of apples = y

Then, y = (30+x)×(400–10x)

For, optimum number of trees, let's do the differentiation of the above equation with respect to x.

d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)

= 400–10x-300–10x

= 100–20x …………..(1)

For mimima or maxima, the above equation must be equal to 0.

So, 0 = 100–20x

=> x=5

Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5

[tex]d^2(y)/d(x^2) = -20[/tex]

The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.

So, the number of trees for maximum apple will be (30+x)

So, 30+5 = 35 trees per acre will give the largest crop of apple.

Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Learn more about maxima and minima at:

brainly.com/question/82347

#SPJ1

One box of dog food costs $7, while one can of cat food costs $8.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It illustrates that the expressions printed on the left and right sides have an equal relationship.

Some of the components of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. When expressing an equation, the "=" symbol and terms on both sides are a need.

Given data ,

Let the price of a single box of dog food at  x.

Let's say the price of one can of cat food is y.

The cost of 1 box of dog food and 2 cans of cat food is  = $ 23

One can of cat food and two boxes of dog food cost $22, total.

So , the equation will be

1x + 2y = 23                                 ....... (1)

2x + 1y = 22                                  ....... (2)

Equation (1) is multiplied by 2 to get

2x + 4y = 46                                ....... (3)

When equation (2) is subtracted from equation (3), we obtain

3y = 24

value of y is obtained by dividing both sides by 3,

y = $ 8

Equation (1) can be solved by substituting the value of y.

x + [tex]2*8[/tex] = 23

x + 16 = 23

16 is subtracted from both sides, giving us

x = $ 7

Therefore , the value of x is $ 7 and value of y is $ 8

Thus, one package of dog food costs $7, while one can of cat food costs $8.

To learn more about equations, visit :

brainly.com/question/10413253

#SPJ1

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equations are given below.

y = 2x + 56       ....1

y = 9x               ....2

From equations 1 and 2, then we have

9x = 2x + 56

7x = 56

 x = 8

Then the value of the variable 'y' is given as,

y = 9(8)

y = 72

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ1

4A. The number of whole pie shaded are 2

4B . The number of partial pie shaded is 3

4C.  The mixed number formed is 2 3/5

5A. The whole number part which is 2 is the quotient

5B.  The remainder is 3

In mathematics, a fraction is a number that represents a part of a whole. It consists of two parts: a numerator, which is the part of the fraction that represents the number of parts being considered, and a denominator, which is the number that represents the total number of parts in the whole.

A mixed number is a combination of a whole number and a fraction. It represents a quantity that is greater than the fraction but less than the next whole number.

For example, In the division problem, the dividend is 13 and and the divisor is 5. the division results to mixed number of value 2 3/5.

The mixed number 2 3/5 represents a quantity that is equal to

two whole and three fifths.

converting to improper fractions gives 13/5

Learn more about fractions at:

https://brainly.com/question/17220365

#SPJ1

Answer:

Tech 9 rock and no answer

Step-by-step explanation:

So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

The problem can be solved by setting up an equation using the information given. Let's call the temperature of City A "x" and the temperature of City B "y". We can then write two equations based on the information given:

4x = 3y + 8

x - 2y = -3

We can use substitution to solve for one of the variables and then use that information to solve for the other. For example, we can substitute 3y + 8 for 4x in the second equation:

x - 2y = -3

x - 2y = 3y + 8 - 3

x - 2y = 3y + 5

x - 5y = 5

We can then solve for y by multiplying both sides of the equation by -1/5:

-5x + 5y = -5

5y = 5x + 5

y = x + 1

We can then substitute this expression for y into one of the original equations and solve for x:

4x = 3(x + 1) + 8

4x = 3x + 3 + 8

x = 8

So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

Learn more about equation :

https://brainly.com/question/29657983

#SPJ4

Answer:

12 Days

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

To find the ratio of the problem (days: pages) we can use this equation:

pages read ÷ days it took = pages read each day

Fitting the numbers into the equation:

168 ÷ 7 = 24

So, everyday Kelly reads 24 pages.

To find out how many more days Kelly needs to read, if she reads at the same rate, we can use this equation:

(456 - 168) ÷ 24 = days left

We can use this to check our work:

168 + (24 ×?) = 456

Solving for the first equation:

(456 - 168) ÷ 24 = days left

288 ÷ 24 = 12

Now, we can check our work.

168 + (24 ×?) = 456

Inserting 12 into the equation:

168 + (24 × 12) = 456

168 + 288 = 456

Therefore, to complete the book it will take Kelly 12 more days.

Answer:

m angleJ= 53, m angle JML = 63.5

Step-by-step explanation:

As this is a circle, KJ and KL are radii, which are equal

If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).

That means, the angles J and L are equal (isosceles triangle thm).

Therefore- m angleJ = 180 - 127

m angleJ = 53

Join J and K, and L and K

Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.

Therefore- angle JML  = (1/2)127
So, m angleJML = 63.5

Answer:

Step-by-step explanation:

-8^8 is -16777216.

-8^5 is -32768.

-16777216/-32768 is 512.

btw, is this bigideas? lol i remember this website

5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.

What is the definition of square root?

The square root of a number is a value that, when multiplied by itself, yields the original number. The square root is the opposite of squaring a number. As a result, squares and square roots are ideas that are connected.

If x is the square root of y, it is denoted as x=√y, or the same equation may be expressed as x² = y. √" is the radical symbol used to symbolise the numerical root here. When a positive number is multiplied by itself, it represents the number's square. The square root of a positive number yields the original value.

Now,

Given that square root of the cube root of 5 i.e. √∛5=?

=√5¹÷³

=5¹/²*¹/³

=5¹/⁶

hence,

          5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.

To know more about square root visit the link

https://brainly.com/question/29286039?referrer=searchResults

#SPJ1

The absolute value function on the graph is:

f(x) = -|x + 4| - 5

Remember that an absolute value function that has a vertex at (a, b) will be written as:

f(x) = |x - a| + b

Here the vertex is at (-4, -5), replacing that in the general formula we will get:

f(x) = |x + 4| - 5

And we also can see that the absolute value function opens downwards with slopes of 1, then there must be a leading coefficient of -1, the actual function is:

f(x) = -|x + 4| - 5

That is the graphed function.

Learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

5/6 rounded to two decimal places is -0.83

What is simplification?

The technique of reducing phrases to expressions that do not cause changes or values is known as simplification.

To simplify -0.83333333333, you can write it as a fraction by dividing -5 by 6:

-0.83333333333 = -5/6

Then, to round it to a certain decimal place, you can use the following rules:

For example, if you want to round -5/6 to two decimal places:

To know more about simplification visit,

https://brainly.com/question/28595186

#SPJ1

Measure of angle B is 36.87°.

Trigonometric functions are defined as the real functions or the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given is a right angled triangle.

We have to find measure of angle B.

Cosine of an angle in a right angled triangle is equal to the ratio of it's adjacent side to the hypotenuse.

Hypotenuse = AB = 5

Adjacent side to B = CB = 4

Cos B = 4/5

∠B = Cos⁻¹ (4/5)

     = 0.6435 radians

     = 36.87°

Hence the measure of the angle B is 36.87°.

Learn more about Trigonometric Ratios here :

https://brainly.com/question/9932656

#SPJ9

Using the concept of rates, the machine will complete 9 9/64 inches in 8.67 minutes

To determine how long it will take to turn a particular length of iron, we can calculate the rate at which it works and it must be in a definite proportion.

If the lathe moves 3/128 in one revolution.

And the machine completes 45 revolutions in 1 minutes, we can determine how many inches in moves in that minute.

3/128 in = 1 rev

x in = 45

45 * (3/128) = 45 revolutions = 1 minute

1.054 inches in 1 minute.

We can further use this to determine the time it takes to move 9 9/64 inches

1.054 inches = 1 minute

9 9/64 inches = x minute

cross multiply both sides and solve

x = 8.67 minutes

Learn more on rates here;

https://brainly.com/question/843074

#SPJ1

The mystery number is 8. It is the number that is greater than 4 and less than 15 which when paired with 32 has an LCM of 32.

The mystery number is 8. To find this number, we first need to determine the Least Common Multiple (LCM) of two numbers. The two given numbers are 4 and 32. To find the LCM, we can list out the multiples of each number until we find a common multiple. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and so on. The multiples of 32 are 32, 64, 96, 128, and so on. We can see that 32 is the first common multiple of 4 and 32. Therefore, the LCM of 4 and 32 is 32. We are then told that the mystery number is greater than 4 and less than 15. This means the mystery number must be 8, since it is the only number between 4 and 15 that when paired with 32, has an LCM of 32.

Learn more about number here

https://brainly.com/question/28210925

#SPJ4

The total volume in centiliters is 5 cL, then the correct option is A.

Here we know that Dante mixes 30 mililiters of one liquid with 2 centiliters of a second liquid, and we want to find the total volume in centiiters.

We know that:

1 milliliter = 0.1 centiliters.

Then:

30 mililiters = 30*( 0.1 centiliters) = 3 centilters.

Then the sum of the two volumes is:

3 centiliters + 2 centiliters = 5 centiliters.

Then the correct option is A.

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

The answer is A. 5 cL.

Liquid is one of the three states of matter, alongside solid and gas. It is a form of matter that has a definite volume, but not a definite shape. Liquids take the shape of their container and are able to flow and be poured.

First, we need to convert 30 milliliters to centiliters, which is 3 centiliters (since 1 centiliter = 10 milliliters).

Then, we can add the 3 centiliters to the 2 centiliters of the second liquid to get a total of 5 centiliters.

Therefore, the answer is A. 5 cL.

Learn more about centiliters here : brainly.com/question/1070407

#SPJ1

2.25 km on the ground is represented by 9cm on the map.

What is the actual distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

Given: The scale on the map is 1:25000

We have to find the actual distance of 9 cm on the map.

First, we have to find the actual distance of 1 cm on the map:

1cm = 25000cm

1cm = 250m

1cm = 0.25km

Now Find the actual distance of 9 cm on the map:

1cm = 0.25km

9cm = 9(0.25) = 2.25km

Hence, 2.25 km on the ground is represented by 9cm on the map.

To learn more about the actual distance from the given link

https://brainly.com/question/18456113

#SPJ1

The factored form of 12x²y - 6x² is  6x²(2y - 1).

The expression to be factorise is as follows: 12x²y - 6x²​.

Factorisation is the is defined as the breaking down of an entity . Factorisation simply implies we decompose the expression.

Therefore,

12x²y - 6x²

let's find the factors of 12x²y  and 6x².

Hence, the factors are 6x²

12x²y - 6x² = 6x²(2y - 1)

Therefore, the factored form is 6x²(2y - 1)

learn more on factorisation here: https://brainly.com/question/29187137

#SPJ1