Solve for the value of e.
see picture below!!​

True. A t-test is a statistical test used to determine if there is a significant difference between the means of two groups. It is used when the sample size is small, and the population standard deviation is unknown.

In contrast, a z-score is calculated using the population mean and standard deviation and is used to compare a sample with a known population. The t-test, on the other hand, uses the sample mean and standard deviation to estimate the population parameters. Therefore, a t-test requires less information from the population than a z-score, making it a more practical choice when the population parameters are unknown or difficult to obtain.

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The value of probabilities are,

P (1, 1) = 1 / 36 = 0.027

P (both odd) = 0.166

P (even, odd) = 0.25

P (2 anywhere) = 0.3055

P (sum 8) = 0.1389

P (sum 1) = 0

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

Two dice are rolled at the same time.

Hence, There are total number of possibilities = 36

Thus, The value of P (1, 1) is,

P (1, 1) = 1 / 36

Since, There are 6 possibilities when both dice have rolled to get odd.

Hence, The value of P (both odd) is,

P (both odd) = 6 / 36

                   = 1/ 6

Since, There are 9 possibilities to get first dice even and second odd.

Hence, The value of P (even, odd) is,

P (even, odd) = 9/36

                     = 1/4

Since, There are 11 possibilities when 2 is in anywhere.

Hence, The value of P (2 anywhere) is,

P (2 anywhere) = 11/36

Since, There are 5 possibilities to get sum 8.

Hence, Value of P (sum 8) is,

P (sum 8) = 5/36

Since, There are no possibilities to get sum 1.

Hence, P (sum 1) = 0

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Answer:

$5 for a case of soda

Step-by-step explanation:

I hope this helps! :)

Answer:

33cm cubed

Step-by-step explanation:

6 blocks by 3 blocks by 2 blocks = 36 - 3 cause of the missing blocks = 33

Answer:

1) 17.6    2) 1760%     3) 12.6

Step-by-step explanation:

give me brainlist

The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 15(0.85)ˣ

a) The initial height of the bouncing ball is 15 feet

b) The percent rate of change = 0.85 - 1 = -0.15 = -15%

c) After 5 s, x = 5:

f(5) = 15(0.85)⁵ = 6.66 feet

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x = 5

explanation:

3 + 4.5 = 7.5 to get the side of the big triangle

set up a proportion

\(\frac{3}{7.5} =\frac{2}{x}\)

3x=7.5(2)..........cross multiply

3x=15.................multiply

x=5.....................divide both sides by 3

Answer:

Step-by-step explanation:

\(\frac{3}{2} =\frac{7.5}{x} \\\)

3x = 15

x = 5

The divisor is 1000 and the divident is 763.

In division, The number that is being divided is termed as the dividend, and the number that it is being divided by is called the divisor and the outcome of the division is the quotient, and the number which is left is called as remainder.

As per the question, 76.3 ÷ 100

The divident is equal to 76.3 and the divisor is equal to 100

But as the divident present is a decimal number, the decimal point can be removed by multiplying it with 10 and also multiplying the divisor with 10.

Now, the resulting division is

763 ÷ 1000

Here the divisor is 1000 and the divident is 763.

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there are 6 different kinds of 2-topping pizzas that are available. Answer: 6 kinds.

To find the number of different kinds of 2-topping pizzas that are available, we need to use the combination formula.

The number of ways to choose r items from a set of n items is given by the formula:

C(n,r) = n! / (r! * (n-r)!)

where n! means n factorial, which is the product of all positive integers up to n.

In this case, we want to choose 2 toppings from a set of 4 toppings, so we have:

C(4,2) = 4! / (2! * (4-2)!)

= 6

what is number?

A number is a mathematical object used to represent a quantity or value. Numbers can be classified into different types based on their properties and characteristics.

Some common types of numbers include:

Natural numbers: positive integers (1, 2, 3, ...)

Whole numbers: all positive integers and 0 (0, 1, 2, 3, ...)

Integers: positive and negative whole numbers (-3, -2, -1, 0, 1, 2, 3, ...)

Rational numbers: numbers that can be expressed as a ratio of two integers (such as 1/2, -3/4, 5, etc.)

Irrational numbers: numbers that cannot be expressed as a ratio of two integers and have a non-repeating decimal expansion (such as π, √2, etc.)

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That is correct. In probability theory, the union of two events A and B, denoted as A ∪ B, represents the event that contains all the sample points that belong to either event A or event B or both. Mathematically, it can be defined as:

A ∪ B = {x : x ∈ A or x ∈ B}

The intersection of two events A and B, denoted as A ∩ B, represents the event that contains only the sample points that are common to both event A and event B. Mathematically, it can be defined as:

A ∩ B = {x : x ∈ A and x ∈ B}

It's important to note that the union and intersection of events are fundamental operations in probability theory and are used to calculate probabilities, assess dependencies between events, and make various calculations and predictions.

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Answer:

the first option

Step-by-step explanation:

if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side

Answer:

Explanation:

From the graph, the points are best modeled using an exponential function.

Among the given options, Options 3 and 4 are exponential functions.

The third and fourth functions are tested below:

Option 3

Option 4

From the above, we can see that the function that best fits the data shown in the scatterplot is:

Answer:

151 inches

Step-by-step explanation:

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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As a result, each small basket contain X=8 pieces of fruit and each large basket contains Y=17.

There are numerous practical uses for algebra. Among the most frequent applications of algebra are:

- Seeing a ball game being played by 4-5 year old children.

- Creating an activity schedule

- Cooking or doubling or splitting the dish; - Improving spatial intelligence; - Determining tax liability; - Calculating the stars

- Advances in technology - Budgeting

Assume that each small basket contains x pieces of fruit and each large basket contains y pieces of fruit.

We can create two equations using the information provided:

3x + 5y = 109

9x + 5y = 157

When the first equation is subtracted from the second equation, the result is: 6x = 48

x = 8.

Any of the two equations can be solved for x = 8 and the result is:

3(8) + 5y = 109

24 + 5y = 109

5y = 85

y = 17

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Answer:

The distance between F and A is approximately 6.71 units.

Step-by-step explanation:

To find the distance between any two points, we can consider using the distance formula. Recall that:

\(\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Let F(-2, 1) be (x₁, y₁) and A(4, -2) be (x₂, y₂).

Substitute and evaluate:

\(\displaystyle \begin{aligned} FA &= \sqrt{((4) - (-2))^2 + ((-2) - (1)^2} \\ \\&=\sqrt{(6)^2 + (-3)^2} \\ \\&=\sqrt{36 + 9} \\ \\ &= \sqrt{45} \\ \\ &= 3\sqrt{5}\\ \\&\approx 6.71\text{ units} \end{aligned}\)

In conclusion, the distance between F and A is approximately 6.71 units.

Answer:

Step-by-step explanation:

8p < -3

You must isolate P

In order to do this, you need to get rid of anything on that side.

P is being multiplied by 8, so you must do the inverse in order to get rid of it.

The opposite of multiplying is dividing, so divide BOTH sides by 8.

8p / 8 < -3 / 8

You are left with:

p < -3 / 8

That is the answer

With ∠C=∠F, ΔABC and ΔDEF are congruent by AAS congruence. Therefore, option A is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔABC and ΔDEF,

Here, ∠B=∠E=50°

AB=DE=10 units

With ∠C=∠F

So, by AAS congruence theorem ΔABC and ΔDEF are congruent

Therefore, option A is the correct answer.

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Hence, there is 330 ml of lemonade in the special edition bottles.

The special edition bottles have 10% extra free, which means the total amount of lemonade in the special edition bottle is 100% (normal amount) + 10% (extra amount).

To calculate the amount of lemonade in the special edition bottles, we first need to determine the 10% of the normal amount (300 ml).

10% of 300 ml = (10/100) * 300 ml

= 30 ml

Therefore, the special edition bottles contain an extra 30 ml of lemonade.

To find the total amount of lemonade in the special edition bottles, we add the normal amount (300 ml) to the extra amount (30 ml):

Total amount of lemonade in special edition bottles = 300 ml + 30 ml

= 330 ml

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Answer:

Step-by-step explanation:

5x - 6y = 27 .......... Equation 1

7x + 6y = 9 ………… Equation 2

To solve using elimination add the second equation to the first one to eliminate y

That's

5x - 6y + 7x + 6y = 27 + 9

12x + 6y - 6y = 36

12x = 36

Divide both sides by 12

x = 3

Substitute it into any of the equations

Using equation 2

That's

7(3) + 6y = 9

21 + 6y = 9

6y = - 12

Divide both sides by 6

y = - 2

The solutions are

x = 3

y = - 2

Hope this helps you

Answer:

yes, it is

Step-by-step explanation:

10 = 4(2) + 2

10 = 8 +2

10 = 10

10  = 2 + 8

10 = 10

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x      -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

     - 8    - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3    /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

28 hrs

Step-by-step explanation:

in 8 hrs she earns $320,

so in 1 hr she earns $320/8=$40

no. of hrs she takes to earn $1120 is,

=1120/40= 28 hrs

Annie would need to work 28 hours to earn $1,120 at the same rate.

To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.

Let's define:

x = the number of hours Annie needs to work to earn $1,120.

According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.

We can set up the proportion as follows:

320/8 = 1120/x

To solve this proportion, we can cross-multiply and then solve for x:

320x = 8 * 1120

320x = 8960

Dividing both sides of the equation by 320:

x = 8960/320

x = 28

Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.

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The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

He paid $2.30 for each gallon of gas he got.

The value of the cosine ratio cos(L) is 5/13

The complete question is added as an attachment

Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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Answer:

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

2x+14=3x+33

2x=3x+19

0=1x+19

-x=19

x=-19

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Thank you

Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.