I need help with this question please ​

The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is  2/13.

A deck contains a total of 52 cards.

Total outcomes if the selected number of cards is one=52

Case A:

Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.

Probability of an outcome is the ratio of desired outcomes to the total outcomes.

The probability of outcome to be 5, P(A):
P(A)=4/52

P(A)=1/13

Case B:

The total probability of outcomes=52/52=1

The probability of the outcome to be 5=1/13

Therefore, the probability of the outcome not to be 5, P(B):

P(B)=1-(1/13)

P(B)=12/13

Case C:

Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):

P(M)=4/52

P(M)=1/13

A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.

The probability of the outcome to be a diamond, P(N):

P(N)=13/52

P(N)=1/4

The probability that the outcome is a king of diamonds, P(M\(\cap\)N):

P(M\(\cap\)N)=1/52

Hence, the probability that the outcome is a diamond or a king, P(M\(\cup\)N):

P(M\(\cup\)N)=P(M)+P(N)-P(M\(\cap\)N)

P(M\(\cup\)N)=(1/13)+(1/4)-(1/52)

P(M\(\cup\)N)=16/52

P(M\(\cup\)N)=4/13

Case D:

Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):

P(P)=4/52

P(P)=1/13

Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):

P(Q)=4/52

P(Q)=1/13

The probability that the outcome is a jack and a queen, P(P\(\cap\)Q):

P(P\(\cap\)Q)=0/52

P(P\(\cap\)Q)=0

Hence, the probability that the outcome is a jack or a queen, P(P\(\cup\)Q):

P(P\(\cup\)Q)=P(P)+P(Q)-P(P\(\cap\)Q)

P(P\(\cup\)Q)=(1/13)+(1/13)-0

P(P\(\cup\)Q)=2/13

Case E:

A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.

Case F:

The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.

Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.

Therefore the desirable outcomes=8

The probability of the outcome required=8/52

=2/13

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To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer:

option B

Step-by-step explanation:

The calculated correlation coefficient (r) is approximately -0.291.

To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.

Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.

From the given data, we have the following values:

Σxy = -8.822

Σx² = 318.817

Σy² = 2.868

n = 38

The correlation coefficient (r) can be calculated using the following formula:

r = Σxy / √(Σx² * Σy²)

Substituting the given values into the formula:

r = -8.822 / √(318.817 * 2.868)

Now, let's solve this equation step by step:

First, multiply the values inside the square root:

r = -8.822 / √(913.350956)

Next, calculate the square root:

r = -8.822 / 30.219307

Finally, divide Σxy by the square root of the product of Σx² and Σy²:

r ≈ -0.291

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a) The value of C'(t) = -0.1621*79\(e^{-0.1621t}\)

b) The value of C'(5) ≈ -5.209 that is the rate of change of temperature of the coffee after 5 minutes, measured in degrees Celsius per minute.

The temperature of the coffee is given by the function C(t) = 79\(e^{-0.1621t}\) + 20, where t is the elapsed time in minutes since the coffee was first poured. To find the derivative of this function, C'(t), we need to use the power rule and the chain rule.

C'(t) = -0.1621 x 79\(e^{-0.1621t}\)

Simplifying this expression, we get:

C'(t) = -12.7939\(e^{-0.1621t}\)

The derivative of the temperature function, C'(t), represents the rate of change of temperature with respect to time. In other words, it tells us how fast the temperature is changing at any given time.

Now, let's determine C'(5) accurate to three decimal places. We can substitute t = 5 in the expression for C'(t) and evaluate it as follows:

C'(5) = -12.7939\(e^{-0.1621 \times 5}\)

C'(5) ≈ -5.209

The negative sign indicates that the temperature of the coffee is decreasing with time. The magnitude of the derivative, 5.209, indicates the rate of decrease in temperature at 5 minutes after the coffee was first poured.

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To calculate your fuel consumption in gallons per hour, divide the speed (in miles per hour) by the fuel efficiency (in miles per gallon). This will give you the gallons per hour (GPH).

For example, if your speed is 50 mph and your fuel efficiency is 30 mpg, your fuel consumption would be 1.67 GPH (50/30). You can then use this result to estimate your fuel costs and overall fuel consumption over a certain period of time.

To understand this concept better, it is important to know that speed (in mph) and fuel efficiency (in mpg) are inversely related. This means that as your speed increases, your fuel efficiency decreases, and as your speed decreases, your fuel efficiency increases.

So, if you want to maximize your fuel efficiency, you need to drive at the lowest possible speed. Additionally, the higher the fuel efficiency, the lower the fuel consumption in GPH.

In short, you can use the readout from your odometer and fuel efficiency meter to calculate your fuel consumption in GPH by dividing the speed (in mph) by the fuel efficiency (in mpg). This result can help you estimate your fuel costs and overall fuel consumption.

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The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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The fact that k≥4≥1 is used in the base case of the inductive proof, not in the inductive step.

In the base case, we need to show that the statement holds for k=4. Since 4≥1, this satisfies the condition. The inductive step assumes that the statement holds for some arbitrary k≥4 and then shows that it holds for k+1. The inductive step of an inductive proof aims to show that if a statement holds true for a certain value, it also holds true for the next value. In the given problem, we need to demonstrate that for k≥4, if 2k≥3k, then 2(k+1)≥3(k+1). The fact that k≥4≥1 is utilized in the base case step of the proof. The base case ensures that the initial condition (k=4) satisfies the given inequality. By showing that the inequality holds true for k=4, we establish a starting point for the inductive step. This allows us to apply the inductive step and generalize the result to all values of k greater than or equal to 4.

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Answer:

6588 miles

Step-by-step explanation:

Here's what you have to do: multiply. 54.9×120= 6588 (you multiply it by 120 because that's how long two hours is) so if he traveled in the same speed for two hours the car would have traveled 6588 miles

9514 1404 393

Answer:

  B = (-4, 5)

Step-by-step explanation:

Reflection over the origin changes the signs of the coordinates.

  (x, y) ⇒ (-x, -y)

  (4, -5) ⇒ (-4, 5)

Point B is (-4, 5).

Answer:

(-4,5)

Step-by-step explanation:

i do not know

i do not know

i do not know

i do not know

Answer:

C. 2x + 10 = 39.88

Step-by-step explanation:

2x will give you the price of the 2 shirts and you have to add the fee of $10 to get the total of $39.88

We are given the following function

We are asked to find the value of f(2)

f(2) means to substitute x = 2 into the function

Recall the order of operations, first solve the exponent, then multiplication, and finally addition

Therefore, the value of f(2) is 19

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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\(\\ \tt\hookrightarrow 8u\)

\(\\ \tt\hookrightarrow 8<-7,-2>\)

\(\\ \tt\hookrightarrow <-56,-16>\)

Answer:

$198

Step-by-step explanation:

To find how much the tax was, we multiply 10% by 220. We do this in decimal form, so we write it as 0.1*220. 0.1*220 is 22. Although, we don't stop there. Now that we know how much tax is, we must subtract the tax from the price with tax to find the OG price. 220-22 is 198. That means our answer is $198. Hope this helps!

Answer:

64:2⁶

169:13²

625:5⁴..................

there were 20 questions on Kara's science homework.

To find the total number of questions on Kara's science homework, we can set up a proportion based on the given information.

Let's assume the total number of questions on her science homework is represented by "x". Since Kara completed 75% of her homework correctly, the number of correct answers is 75% of the total number of questions, which can be expressed as 0.75x.

According to the problem, Kara had 15 correct total answers. Setting up the proportion, we have:

0.75x = 15

To solve for x, we divide both sides of the equation by 0.75:

x = 15 / 0.75

x = 20

Therefore, there were 20 questions on Kara's science homework.

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Answer:ok

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Observe that

\(x^2 + 3x + 1 = (x^2 + 4x + 4) - x - 3 \\\\ ~~~~~~~~ = (x + 2)^2 - x - 3 \\\\ ~~~~~~~~ = (x + 2)^2 - (x + 2) - 1\)

so that

\(P(x+2) = (x+2)^2 - (x+2) - 1 \implies P(x) = x^2 - x - 1\)

Then

\(P(x - 1) = (x-1)^2 - (x-1) - 1 \\\\ ~~~~~~~~ = (x^2 - 2x + 1) - (x - 1) - 1 \\\\ ~~~~~~~~ = \boxed{x^2 - 3x + 1}\)

Alternatively, we can avoid find \(P(x)\) altogether and instead first write \(x-1\) in terms of \(x+2\) :

\(x - 1 = (x - 1) + 2 - 2 = (x + 2) - 1 - 2 = (x + 2) - 3\)

Then

\(P(x - 1) = P((x + 2) - 3) \\\\ ~~~~~~~~ = (x - 3)^2 + 3 (x - 3) + 1 \\\\ ~~~~~~~~ = x^2 - 3x + 1\)

Answer:

$40 + $48 saved in 8 weeks= $88

Step-by-step explanation:

$6 ×8=48

Answer:

6m - 15 = 9m+9

Step-by-step explanation:

Looking at option b;

6m - 15 = 9m+9

Collect the like terms

6m-9m= 9 + 15

-3m = 24

Divide both sides by -3

-3m/-3 = 24/-3

m = -8

Hence the equation that has -8 as solution is 6m - 15 = 9m+9

The standard deviation measures how far the data are from the dataset mean. The lower the standard deviation is, the closest the data are to the mean.

In this case, the pilot strives for a mean equal to 0 (zero minutes late). Also, since the pilot needs the arrivals to be as close as possible to this mean of zero minutes late (on-time), they want the data of "minutes late" to be all close to this mean. And this is achieved with a lower standard deviation.

Therefore, they want a lower standard deviation.

Solving a linear equation we can see that the answer is 40 months.

We know that company A only charges $70 per month, so the cost in dollars after x months is given by the linear equation:

A(x) = 70*x

For company B you need to pay $50 per month plus the $500 phone, so here the cost is:

B(x) =500 + 50*x

We want to find for what value of x we have B(x) = A(x), then we needto solve:

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20

x = 40

After 40 months the cost will be the same one than in company A.

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Answer:

ssss

Step-by-step explanation:

dddd

Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners

Step-by-step explanation:

Answer:

C. 12x

Each box has 12 envelopes.

The number of total envelopes will be the number of envelopes in a box multiplied by the number of boxes. The number of boxes is unknown, so it is replaced by the variable. This gives us 12x

Answer:

The answer to your question .....

The average electric usage for a certain month was 61 kWh per day. Determine what the average kWh per day usage will be if it is increased by 5.6%. is BELOW

Step-by-step explanation:

The best answer i can come up with is ....64.416 kWh

Hope this helped.<3

The value is Option D.

The value of increase in electric usage is 64.416 kWh

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the electric usage for a month be = 61 kWh

Now , the percentage increase be A = 5.6 %

So , the equation will be

The percentage increase in value for the electric usage =
percentage increase x electric usage for a month

The percentage increase in value for the electric usage = ( 5.6/100 ) x 61

                                                                                              = 3.416 kWh

So , the equation for total increase in electric usage =
electric usage for a month + percentage increase in value

Total increase in electric usage = 61 + 3.416

                                                     = 64.416 kWh

Therefore , the value is 64.416 kWh

Hence , The value of increase in electric usage is 64.416 kWh

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Answer:

The length of the side along the river is 140 m

Step-by-step explanation:

Equations

To solve the problem, we need to recall the area of a trapezium is:

\(\displaystyle A=\frac{b1+b2}{2}.h\)

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

\(\displaystyle \frac{x+2x}{2}\cdot 100=10500\)

Simplifying:

\(\displaystyle (3x)\cdot 50=10500\)

\(150x=10500\)

Dividing by 150:

\(x = 10500 / 150 = 70\)

x = 70 m

2x = 140 m

The length of the side along the river is 140 m

Answer: $3.75

Step-by-step explanation:

The amount that you would save is 5% of your monthly bill of $75.

This amount is:

= 75 * 5%

= $3.75

The total amount that you would pay is:

= 75 - 3.75

= $71.25