You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to complete the game, you lose 3 points. You complete the game in 2 minutes 15 seconds using 25 correct moves. What is your score?

Answer:

8/12

Step-by-step explanation:

if you have 2 dice and roll them t the same time you have 11 possible outcomes. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. If you roll something higher then a 4 then you get left with 5, 6, 7, 8, 9, 10, 11, 12. If you count them there is 8 different outcomes you can get out of the 2 dice since the highest you can roll is a 12.

Answer:

Es falso.

Step-by-step explanation:

Es falso.

En una recta numérica tenemos los enteros positivos ubicados a la derecha del 0 (punto central) y los enteros negativos ubicados a la izquierda del cero.

 |__|__|__|__|__|__|__|__|                              

-4   -3  -2  -1   0   1    2   3  4

En la recta numérica los números son cada vez mayores hacia la derecha y cada vez menores hacia la izquierda, por lo que cada número será mayor que el número ubicado a su izquierda y menor que el número ubicado a su derecha. Por ejemplo:        

- El 3 es mayor que el 2 y menor que el 4

- El -2 es mayor que -3 y menor que -1      

Entonces, los enteros positivos y los enteros negativos son mayores a la derecha. Por lo tanto el enunciado es falso.  

Espero que te sea de utilidad!  

The probability that the committee will consist of all faculty members is 1/5.

To find the probability that the committee will consist of all faculty members,

we need to calculate the total number of possible committees and the number of committees that consist of all faculty members.
The total number of possible committees can be calculated using combinations.

We have 5 faculty volunteers, and we need to choose 4 members from this group.

This can be written as C(5,4), which is equal to 5.
The number of committees that consist of all faculty members is simply 1, as there is only one way to select all 4 members from the faculty volunteers.
The probability that the committee will consist of all faculty members is the number of committees that consist of all faculty members divided by the total number of possible committees.

In this case, it is 1/5.
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Answer:

X would be 360

Step-by-step explanation:

A full circle is 360 degrees.

The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

P(x) = (n C x) * p^x * (1 - p)^(n - x)

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

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Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.

To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.

To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.

To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.

By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.

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Answer:

a

Step-by-step explanation:

because the origin is where the lines meet. So its in the middle making it (0,0)

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

Answer:

Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.

Solution:

Let the two-car be A and B.

Given that two cars are 400 km apart.  

Let us assume The distance traveled by A to meet B = x km.

The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.

So distance travelled by B = (400-x) km

Time taken will be the same for A and B

We know that,  we get

Let us consider the time taken by car. So time is taken by A to travel x km =

Similarly, time is taken by B to travel distance (400-x) km =  

When the two cars meet, .hence we get,

On solving above equation,

9x = 11(400 – x)

9x = 4400 – 11x

9x + 11x = 4400

20x = 4400

X = 220

After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,

Time is taken for cars to meet =  

Hence the two cars will meet after 4 hours.

Step-by-step explanation:

Answer:4x4−4x3−16x2+16x

Step-by-step explanation:

(a) Approximately 68% of pregnancies have lengths between 251 days and 279 days.

(b) Approximately 95% of pregnancies have lengths between 237 days and 293 days.

We have given that,

lengths of human pregnancies are normally distributed with a mean of 265 days and a standard deviation of 14 days,

(a)

To find the length of 68% of pregnancies  we know the formula,

days ± standard deviation

Therefore

265 - 14 = 251

265 + 14 = 279

Hence approximately 68% of pregnancies have lengths between 251 days and 278 days.

(b)

From the section (a) 68% of pregnancies have lengths between 251 days and 278 days.

Now we will check for 95%

so the formula is

days ± 2× standard deviation

⇒ 265 - 2 × 14 = 237

and 265 + 2 × 14 = 293

Therefore approximately 95% of pregnancies lengths between 237 days and 293 days.

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Answer:

≈ 22 cm

Step-by-step explanation:

the circumference (C) of a circle ( the perimeter ) is calculated as

C = 2πr ( r is the radius )

   = 2π × 7 = 14π

since divided into 2 equal parts then

\(\frac{1}{2}\) C = 14π ÷ 2 = 7π ≈ 22 cm ( to the nearest whole number )

Answer: 0.3

Step-by-step explanation:

3/10 = 30/100 = 0.3

Answer:

0.3

Step-by-step explanation:

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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The equation of the circle is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

From the question, we are to determine the equation of the circle

The equation of circle is given by

(x - h)² + (y - k)² = r²

Where (h, k) is the center

and r is the radius

From the given information,

The two circles are concentric

∴ (h , k) = (4, 6)

But the other circle has a radius that is twice as large

∴ r = 2 × 2

r = 4

Thus,

The equation of the circle becomes

(x - 4)² + (y - 6)² = 4²

(x - 4)² + (y - 6)² = 16

Hence, the equation which represents a circle that is concentric with the circle shown but has a radius that is twice as large is (x - 4)² + (y - 6)² = 16. The correct option is the second option (x - 4)² + (y - 6)² = 16

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Answer: B: 54

Step-by-step explanation:

It's important to consider the overall nutrient profile of a cereal, rather than just focusing on a few specific ingredients.

To determine which ingredients are positively correlated with the nutritional rating, we can examine the scatter plots and look for a general trend between each ingredient and the rating.

In general, the higher the nutritional rating, the lower the values for fat, sugar, and sodium, and the higher the values for protein and fiber.

Based on this observation, we can conclude that protein and fiber are positively correlated with the nutritional rating, while fat, sugar, and sodium are negatively correlated with the nutritional rating.

It's worth noting that correlation does not imply causation, and there may be other factors that contribute to the nutritional value of a cereal beyond these five ingredients.

Therefore, it's important to consider the overall nutrient profile of a cereal, rather than just focusing on a few specific ingredients.

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Store #1 has the better price amount , as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs.

Store #1 has the better price, as the price per dozen eggs is $1.44, whereas Store #2 is $1.29 per dozen eggs. To compare the prices, we need to calculate the cost per dozen eggs for each store. To do this, we divide the cost by the number of eggs. For Store #1, the cost per dozen eggs is $1.44 divided by 12, which is $0.12. For Store #2, the cost per dozen eggs is $4.68 divided by 36, which is $0.13. Therefore, Store #1 has the better price, as it is cheaper than Store #2. By comparing prices, we can find the best deal for our money. It is important to compare prices to get the best value for our money, as it can help us save money in the long run. Additionally, by comparing prices, we can make sure we are getting the highest quality product at the best price.

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To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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Answer:

140

Step-by-step explanation:

7- Cranberry

2:Grape = 40 so 40/2 = 1

3:Pineapple

1= 20 juices

7+2+3 is 12

20 x 12 is 140

The simplest form of the exponential fraction (2/3)⁶ is equal to 64/729.

A fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction consist of two (2) main parts and these include the following:

An exponent can be defined as a mathematical operation that is used to raise a quantity or numerical data to the power of another and it is generally written as bⁿ.

Next, we would evaluate the given fraction as follows:

Fraction = (2/3)⁶

Fraction = 2⁶/3⁶

Fraction = 64/729

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Complete Question:

Evaluate. (2/3)⁶ Enter your answer as a fraction in simplest form by filling in the boxes.

The perimeter of the semicircle is 66. 846 meters

The formula for finding the perimeter of a semicircle is

Perimeter = πr + 2r

We were given diameter = 26meters

Radius, r = diameter/2

radius = 26/ 2 = 13 meters

π = 3. 142

Substitute value into the formula

Perimeter = 3. 142 × 13 + 2 × 13

Perimeter = 40. 846 + 26

Perimeter = 66. 846 meters

Thus, the perimeter of the semicircle is 66. 846 meters

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Answer:

Look below.

Step-by-step explanation:

Log3^4x

4xLog3 ------> To expand you would take the exponent and put infront of Log

This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.

The expansion of the given logarithm \(\mathbf{Log_3 (4x^2)}\) is \(\mathbf{= 2log_3(2)+2log_3(x)}\)

A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.  

Using the set formula for solving logarithms;

\(\mathbf{log_a(x^n) = n \ log_a \ x}\)

Let's assume that the correct equation given is:
\(\mathbf{=Log_3 (4x^2)}\)

Using the above formula, we have

\(\mathbf{= 2 Log_3 (4x)}\)

By expansion;

\(\mathbf{= 2log_3(2)+2log_3(x)}\)

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Answer:

10.38 = 0.60b + 1.74p

Step-by-step explanation:

Answer: 2x2−13x-2

the x next to 13 is not multiply

The odds that the three dice's numbers will be different are 5/9 (probability) when three dice, one each of red, blue, and green, are thrown.

The odds of the green die's number being different from the red die's number are 5/6.

The likelihood that the probability blue die will have a different number from both the red and green dice is 4/6=2/3 in the circumstances where the red and green dice have different numbers.

Consequently,

5/6*2/3

=10/18

=5/9 represents the likelihood that all three numbers are different.

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ans. (c) 1/2

given line,

y = 1/2 x -2

we know that the slope form of the line is given by

y =mx+c

comparing both equations we get

m= 1/2

hence, the slope is 1/2