A recent newspaper article claims that the mean number of screens per household is greater than 5. A random sample of 89 households had a sample mean of 10.59 screens.
Assume that the population standard deviation is known to be 1.28 screens. For this question, you are required to give your answer in two parts a) and b):
a) Enter 2 if Z or 5 if t. Please note, that the values in part a) have no further use in this question.
b) Give the value of the calculated test statistic. Please give your final answer correctly rounded to two decimal places.
Work to a

Answer:

there is a 2% chance of this happening xx

If we deal with 1000 poker hands then three of any kind will be in the form of fraction 1/ 50.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The probability of being dealt three of a kind in a five-card poker hand is 0.02 or 1/50.

This shows that if we deal with 1000 poker face then three of any kind will be in the form of fraction 1/ 50.

Also, shows that how may poker hand we deal we always have 1/50 of them have three of kind.

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Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

Answer:

D: PUR and SUR

Step-by-step explanation:

A linear par is made of two angle's whoes measure add to 180, or it forms a line. PUR and SUR form a line so therefore they are a linear pair.

The answer is D) <PUR and <SUR

A linear pair is when a pair of angles add up to 180 degrees. The angles must share 2 points and should be next to each other. They are adjacent angles  formed by two intersecting lines.

We need to find the area of a rectangle. The area of a rectangle is given by:

The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:

Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:

Answer:

The answer is 72

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\( \sqrt{5 + 4} \\ = \sqrt{9 } \\ = 3\)

Answer:

you would have to pick me 4 candies since 12 are red you have a higher chance to get red then you have to get yellow.

Temperature change for water due to sheer drop is approximately 0.7 °C when Multnomah Falls in the Columbia River has a sheer drop of 543 ft.

Given that,

Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 feet.

We have to find estimate the water temperature change in °F caused by this drop using the steady flow energy equation.

We know that,

Sheer drop is z₁ - z₂ = 543 feet

We required to calculate temperature change that is ∆T caused by this drop using steady flow energy equation says SFEE.

Assuming

Adiabatic flow i.e. Q =0

No work done, i.e. W=0

Neglecting kinetic energies.

Steady flow energy equation is a mathematical expression that states that for a steady flow the net energy at the inlet of control volume is equal to the net energy at the exit of of the control volume.

SFEE is given as,

h₁ + \(\frac{(v_1)^2}{2}\) + gz₁ + Q = h₂ + \(\frac{(v_2)^2}{2}\) + gz₂ + Q -------> equation(1)

Where, h₁ and h₂ enthalpies at inlet and exit of control volume,

v₁ and v₂ are velocities at inlet and exit of control volume (kinetic energies),

z₁ and z₂ are elevation at inlet and exit of control volume (potential energies),  

Q is energy flow into the control volume and

W is work done by control volume.

Neglecting change in kinetic energies ; Q=0; W=0

Then equation (1) will be,

h₁ - h₂ = g(z₂ - z₁)

Cp(ΔT) =  g(z₂ - z₁)

ΔT = \(\frac{g(z_2-z_1)}{Cp}\)

Here,

Value of g is 32.2 feet per second square and value of Cp for water is 25100 feet

Substituting all values we get,

ΔT = \(\frac{32.2(543)}{25000}\)

ΔT = 0.69°C

ΔT = 0.7°C (approximately)

Therefore, Temperature change for water due to sheer drop is approximately 0.7 °C.

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Answer:

f(x)=x+2 Passes through

x-y=2 DOES NOT pass through

Step-by-step explanation:

Method- plug in x and see if the y matches the points. (1,3) (7,9)

f(x)=x+2

f(1)=1+2=3

f(7)=7+2=9

Matches!

x-y=2

1-y=2 --> y=-1

Does not match

Answer:

The answer to your problem is : 327 ÷ u = 81

Answer:

Explanation: We have to find the resultant velocity of the pedestrian, the sketch of the scenario is as follows:

The resulting rate is as follows:

Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

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Answer:

its 281/36

Step-by-step explanation:

please mark this as brainliest

The given relation is not an equivalence relation.

To show that a relation is an equivalence relation, it must satisfy three properties: reflexive, symmetric, and transitive.

Reflexive property: Every element should be related to itself. In this relation, we have (0, 0), (1, 1), and (6, 6), so the reflexive property holds.

Symmetric property: If (a, b) belongs to R, then (b, a) must also belong to R. Here, we have (0, 1), (1, 0), (1, 6), and (6, 1), which satisfy the symmetric property.

Transitive property: If (a, b) and (b, c) belong to R, then (a, c) must also belong to R. In this relation, we have (0, 1) and (1, 6), which implies (0, 6) should belong to R for the transitive property to hold. However, (0, 6) is not part of the relation R, so the transitive property is violated.

Therefore, the given relation is not an equivalence relation.

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Answer:

False

Step-by-step explanation:

-4 is closer to 0 therefore it's greater

Answer:

False

Step-by-step explanation:

-6 is smaller because the bigger the number is in negatives, the smaller it is.

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

\(\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}\)

Step-by-step explanation:

\(.\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}\)

Answer:r=175 this is for IXL I hope this helps

Step-by-step explanation:

r/-25 =-7

Multiply both sides of the equation by -25

-25 times r/-25=-25 time (-7)

Multiplying two negatives equals a positive: (-) times (-) =(+)

25•r/25=-25•(-7)

then

Cancel out the greatest common factor 25

R=-25 times (-7)

Also Multiplying two negatives equals a positive: (-) times (-) =(+)

r=25 times 7

Multiply the numbers 25•7

Then you get

R=175

Answer:

B. F(x) is a negative number with a large absolute value.

Step-by-step explanation:

The Y and X axes in this case are asymptotes, it means that the function will never touch them. When x is negative and is so small, the function tends to negative infinity, because the function try to cut it but it will never happen.

The flux through through the boundary of the rectangle is -sin(6x)/6.

According to the statement

we have given that the limits and the equation, and we have to find the flux of the given equation.

For this purpose, we know that the

Flux is a the surface integral of the perpendicular component of a vector field over a surface.

And the given equation is :

x^4 + 5,ycos(6x)

The given limits are:

0≤ x ≤ 2, 0 ≤ y ≤ 4

So, Integrate with the given imits,

\(\int\limits^2_0 \int\limits^4_0 {x^4 + 5,ycos(6x)} \, dx\)

When integrate these terms with dx and dy one by one then the equation become:

For the x:

\(\int\limits^2_0 {x^4 + 5,ycos(6x)} \, dx \\\bracket\limits^2_0 [{\frac{x^5}{5},{-ysin(6x)}}/{6]\)

And then integrate w.r.t the y.

Then the flux through the boundary become:

-sin(6x)/6.

So, The flux through through the boundary of the rectangle is -sin(6x)/6.

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Answer:

Slope is 2

Y-intercept is 1

Hope this helps!

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

12 * 10 ^ 7

Step-by-step explanation:

3 * 10 ^ 2 * 4 * 10 ^5

= 12 * 10^ 2 + 5

= 12 * 10 ^ 7

Hope it will help :)

Mutually exclusive events are events that have no overlap between them and the sum of the probabilities of all mutually exclusive events is equal to 1.

What is the probability theory?

Probability theory is a branch of mathematics that deals with the study of random phenomena. It provides a mathematical framework for analyzing the likelihood of different outcomes in a given situation, and for making predictions about future events based on past data.

Things that have an equal chance of happening are known as equally likely events or mutually exclusive events. In probability theory, mutually exclusive events are events that cannot happen at the same time; if one event occurs, the other cannot.

In general, mutually exclusive events are events that have no overlap between them and the sum of the probabilities of all mutually exclusive events is equal to 1.

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Ans of your question . in which class do u read?

The probability of event A' is 0.417

The probability of event A and B is 0.208

The probability of event A or B is 0.875

The contigency table is given as

              B               B'

A           50             90

A'         70               30

So, we have

P(A') = (70 + 30)/(50 + 90 + 70 + 30)

Evaluate

P(A') = 0.417

From the table, we have

A and B = 50

So, we have

P(A and B) = (50)/(50 + 90 + 70 + 30)

Evaluate

P(A and B) = 0.208

Here, we have

A or B = 50 + 90 + 50 + 70 - 50

A or B = 210

So, we have

P(A or B) = (210)/(50 + 90 + 70 + 30)

Evaluate

P(A or B) = 0.875

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To find all subgame perfect Nash equilibria (SPNE), we need to analyze each decision node in the game tree and determine the best response for each player at that node.

Starting from the final round (bottom of the tree) and working our way up:

At the node labeled "N", Player 1 has two options: "H" and "S". Player 2 has only one option: "h". The payoffs associated with each combination of choices are as follows:

(H, h): Player 1 gets a payoff of 3, Player 2 gets a payoff of 0.

(S, h): Player 1 gets a payoff of 2, Player 2 gets a payoff of 3.

Since Player 1's payoff is higher when choosing "H" rather than "S" and Player 2's payoff is higher when choosing "h" rather than "H", the subgame perfect Nash equilibrium for this node is (H, h).

Moving up to the next round, we have a decision node labeled "a". Player 1 has two options: "C" and "T". Player 2 has only one option: "h". The payoffs associated with each combination of choices are as follows:

(C, h): Player 1 gets a payoff of 4, Player 2 gets a payoff of 0.

(T, h): Player 1 gets a payoff of 5, Player 2 gets a payoff of 5.

Since Player 1's payoff is higher when choosing "T" rather than "C" and Player 2's payoff is higher when choosing "h" rather than "C", the subgame perfect Nash equilibrium for this node is (T, h).

Finally, at the topmost decision node labeled "S", Player 1 has only one option: "S". Player 2 has two options: "C" and "T". The payoffs associated with each combination of choices are as follows:

(S, C): Player 1 gets a payoff of 0, Player 2 gets a payoff of 2.

(S, T): Player 1 gets a payoff of 3, Player 2 gets a payoff of 3.

Since Player 1's payoff is higher when choosing "S" rather than "N" and Player 2's payoff is higher when choosing "C" rather than "T", the subgame perfect Nash equilibrium for this node is (S, C).

In summary, the subgame perfect Nash equilibria for this game are (H, h), (T, h), and (S, C).

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Answer:220%

Step-by-step explanation:

The probability that more than 6 out of 9 packages arrive on time can be calculated using the binomial distribution.

In this case, we have a success probability of 70% (0.7) and we want to find the probability of getting more than 6 successes out of 9 trials.

Using the binomial probability formula, we can calculate the probability as follows: P(X > 6) = 1 - P(X ≤ 6)

To calculate P(X ≤ 6), we can sum the probabilities of getting 0, 1, 2, 3, 4, 5, and 6 successes.

The calculation involves evaluating individual probabilities and summing them up. The final result will determine the probability that more than 6 out of 9 packages arrive on time.

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