5.37. a deck of cards is shuffled and the top eight cards are turned over. (a) what is the probability that the king of hearts is visible?

The constant term in the given expression \(m-4n+3.5+\dfrac{4}{5}p\) is +3.5.

Given:

The given expression is \(m-4n+3.5+\dfrac{4}{5}p\).

It is required to find the constant from the given expression.

From the given expression, m, n, and p are the variables. And the term multiplied with them are their coefficients.

The variable terms in the given expression are:

\(m, -4n, \dfrac{4}{5}p\)

What is a constant term?

The term in an expression which is not multiplied or divided with any variable is the constant term. The constant term has a fixed value and it doesn't change.

Therefore, the constant term in the given expression \(m-4n+3.5+\dfrac{4}{5}p\) is +3.5.

For more details about expression, refer to the link:

https://brainly.com/question/13947055

Step-by-step explanation:

group like terms

\(3w \geqslant 19 - 1\)

solve

\(3w \geqslant 18\)

divide the number with the variable by both sides

\( \frac{3w}{3} \geqslant \frac{18}{3} \)

solve

\(w \geqslant 6\)

Answer:

w ≥ 6

Step-by-step explanation:

Given:

3w+1≥19

Solve:

3w+1≥19

Subtract 1 from both sides

3w+1≥19

     -1  -1

-----------------

3w≥18

Divide both sides by 3

3w/3 ≥18/3

w ≥ 6

Hence, the answer is:

w ≥ 6

Kavinsky

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

To know more about proportional savings, refer here:

https://brainly.com/question/29251832#

#SPJ11

Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

Answer:

Kiki has 10 candy bars and plans to give 1/4 of a candy bar to each classmate. This means she will be able to give a piece of candy to 10 * 4 = 40 classmates.

Step-by-step explanation:

Answer:

when y is 35, x is 5.

Step-by-step explanation:

To solve the direct variation problem, we can use the formula y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of variation. We are given the ordered pair (4, 5), which means that when x = 4, y = 5. Substituting these values into the formula gives:

5 = k * 4

To solve for k, we can divide both sides by 4:

k = 5/4

So the constant of variation is k = 5/4.

To solve the second problem, we can again use the formula y = kx and substitute the given values:

14 = k * 2

To solve for k, we can divide both sides by 2:

k = 7

Now that we have the constant of variation, we can use it to find the value of x when y is 35:

35 = 7x

Dividing both sides by 7 gives:

x = 5

Therefore, when y is 35, x is 5.

Step-by-step explanation:

For a direct variation function, the relationship between x and y can be expressed as y = kx, where k is the constant of variation.

From the given ordered pair (4, 5), we can determine the constant of variation k:

5 = k(4)

k = 5/4

The constant of variation k is 5/4.

In the second problem, we have the information y = 14 when x = 2:

14 = k(2)

k = 14/2

k = 7

Now we need to find the value of x when y = 35 using the same constant of variation k:

35 = 7x

x = 35/7

x = 5

So, the value of x when y is 35 is 5.

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Answer:

5 goes into 100 twenty times, so 20% is the answer

hope it helps! :)

Step-by-step explanation:

Answer:

5 goes into 20 four times, and 5 times 4 is 20, so 20% is the answer.

Step-by-step explanation:

Took the test!

Answer:

Step-by-step explanation:

2+(-4x)+x+3y

=2-3x+3y

=-3x+3y+2

Lynn used \(47.826\) gallons fuel in each month.

Average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Gallon is the unit for measuring liquids (fuel).

Mile is a unit of large distance.

Given,

Lynn drive her car for work an average of \(1100\) miles

Car get \(23\) miles per gallon.

It's mean car covers \(23\) miles distance in \(1\) gallon of fuel.

She used fuel in each month

\(=\frac{Total miles}{miles per gallon} \\=\frac{1100}{23}\\ =47.8260 gallon\)

Lynn used \(47.826\) gallons fuel in each month.

To know more about Lynn

https://brainly.com/question/12877834

#SPJ4

The temperature of a cup of coffee, measured as 67°F, comes from a continuous data set.

In data analysis, we categorize data as either discrete or continuous. Discrete data consists of separate and distinct values, typically whole numbers or integers. Continuous data, on the other hand, represents measurements that can take on any value within a given range.

In the case of the coffee temperature, it is represented as 67°F, which is a specific value within a continuous range of possible temperatures. Temperature can be measured with great precision and can take on any value within a certain range, such as decimals or fractions. Therefore, the temperature of a cup of coffee is an example of continuous data.

It's worth noting that in some cases, temperature can be discretized, such as when we categorize it into ranges like "hot," "warm," or "cold." However, when temperature is represented as a specific measurement, like 67°F, it is considered a continuous data point.

To summarize, the temperature of a cup of coffee, measured at 67°F, is an example of continuous data since it represents a specific value within a range and can take on any value within that range.

Learn more about temperature here

https://brainly.com/question/25677592

#SPJ11

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have:

What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.

A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.

The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.

The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.

In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.

The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.

To know more about psychology  :

brainly.com/question/31538247

#SPJ11

The married couples are 1.26 times more likely to have children than those who are not married.

The general gamble is a proportion of the relationship between two factors, and is determined as the proportion of the gamble of an occasion in one gathering contrasted with the gamble in another gathering. For this situation, the occasion of interest is having kids, and the gatherings are hitched and not wedded.

To ascertain the relative gamble, we first need to work out the gamble of having kids for each gathering.

For the wedded gathering, the gamble of having kids is 9768/13213 = 0.7398 or 73.98%.

For the not wedded gathering, the gamble of having kids is 8165/13927 = 0.5868 or 58.68%.

The general gamble is the proportion of these two dangers:

Relative gamble = risk in wedded gathering/risk in not wedded gathering

= 0.7398/0.5868

= 1.2616

Adjusting to two decimal places, the general gamble of having kids for the people who are hitched is 1.26.

This proposes that wedded couples are 1.26 times bound to have youngsters than the people who are not hitched.

To learn more about ration and proportion, refer:

https://brainly.com/question/28152325

#SPJ4

Answer:

Hello! Sorry about your luck before although im 99% sure my answer is correct.

Answer: area is 180

Step-by-step explanation:

Ok so first starting off im going to calculate the area for each shape serperately and add them up since thats easier so as demonstrated in the picture the rectangle is 25 because i multiply by base × height and the base and height is 5 and 5 pointed in the picture so thats 25 although i didnt calculate the rest because the base and height is the same for each so we can just do 25 × 6 to get all the rectangles so 25 × 6 = 150 now we got the easy part out of the way now we should do the triangles I pointed to the base and height for that on the left the base being 5 and the height being 3 5 × 3 = 15 BUT WAIT this isn't are area for the triangles because when finding area for triangles we have to divide by 2 so... 15 ÷ 2 = 7.5 since there are 4 of those triangles I dont have to solve for the rest because i can just do 7.5 × 4 so...

7.5 × 4 = 30 now we just combine those areas together! so... 150 + 30 = 180 so 180 is our area HOPE THAT HELPS!

Answer: 7x^2 + x + 3

The answer is option C, 2.88. This means that the data points in the distribution are spread out around the mean of 4.8 with a variance of 2.88.

To calculate the variance for a binomial distribution with 12 trials and a probability of success of 0.4, we can use the formula Var(X) = np(1-p), where n is the number of trials and p is the probability of success.

In this case, n = 12 and p = 0.4, so Var(X) = 12(0.4)(1-0.4) = 2.88.

Therefore, the answer is option C, 2.88. This means that the data points in the distribution are spread out around the mean of 4.8 with a variance of 2.88. A higher variance indicates that the data points are more spread out, while a lower variance indicates that the data points are closer together.

A binomial distribution with 12 trials (n) and a probability of success (p) of 0.4 has a variance (σ²) calculated by the formula σ² = n * p * (1 - p). In this case, σ² = 12 * 0.4 * (1 - 0.4) = 12 * 0.4 * 0.6 = 2.88. Therefore, the variance for this distribution is 2.88, which corresponds to the third option in your multiple-choice question.

Visit here to learn more about binomial distribution  : https://brainly.com/question/31197941
#SPJ11

Explanation:

The red arrow indicates moving 2 units to the left from 0 as the start point. So the red arrow represents -2.

The blue arrow represents moving 4 more units to the left, so it indicates -4.

Put together, -2-4 = -6 means we first move 2 units to the left, then another 4 units to the left, to arrive at -6 on the number line. This is of course when we start at 0.

Answer:

D, 0.005 thousandths

Step-by-step explanation:

We just need to know the vaule of the number 5, so we can ignore the 2 in the ones place for now. That would be equal to 0.005.

Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169

Answer:

2.75 miles jogged on the fourth day

Step-by-step explanation:

Justin jogged 2 miles on the first day.

On the second day he jogged 75% of 2 miles. To find 75% of 2 miles we need to divide by 100 and multiply by 75.

2 / 100 = 0.02 x 75 = 1.5 miles jogged on the second day. (3.5 miles jogged in total so far)

On the third day he jogged 1.5 miles more than the last day:

1.5 + 1.5 = 3 (6.5 miles jogged so far)

9.25 total miles were jogged, meaning that we will need to subtract 6.5 from 9.25 to get the answer:

9.25 - 6.5 = 2.75 miles jogged on the fourth day

The volume of ball is 32.49 cubic centimeter.

What is volume ?

 Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Here ,

The volume of a ball = 32490 cubic millimeters

To convert into cubic millimeter into cubic centimeter by dividing by 1000, Then,

=>  32490/1000

=> 32.49 cubic centimeter.

Hence the volume of ball in cubic centimeter is 32.49 .

To learn more about volume

https://brainly.com/question/14197390

#SPJ4

Answer:

C. n = 90; p = 0.8

Step-by-step explanation:

According to the Central Limit Theorem, the distribution of the sample means will be approximately normally distributed when the sample size, 'n', is equal to or larger than 30, and the shape of sample distribution of sample proportions with a population proportion, 'p' is normal IF n·p ≥ 10 and n·(1 - p) ≥ 10

Analyzing  the given options, we have;

A. n = 45, p = 0.8

∴ n·p = 45 × 0.8 = 36 > 10

n·(1 - p) = 45 × (1 - 0.8) = 9 < 10

Given that for n = 45, p = 0.8, n·(1 - p) = 9 < 10, a normal distribution can not be used to approximate the sampling distribution

B. n = 90, p = 0.9

∴ n·p = 90 × 0.9 = 81 > 10

n·(1 - p) = 90 × (1 - 0.9) = 9 < 10

Given that for n = 90, p = 0.9, n·(1 - p) = 9  < 10, a normal distribution can not be used to approximate the sampling distribution

C. n = 90, p = 0.8

∴ n·p = 90 × 0.8 = 72 > 10

n·(1 - p) = 90 × (1 - 0.8) = 18 > 10

Given that for n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution

D. n = 45, p = 0.9

∴ n·p = 45 × 0.9 = 40.5 > 10

n·(1 - p) = 45 × (1 - 0.9) = 4.5 < 10

Given that for n = 45, p = 0.9, n·(1 - p) = 4.5 < 10, a normal distribution can not be used to approximate the sampling distribution

A sampling distribution Normal Curve

45 × (1 - 0.8) = 9

90 × (1 - 0.9) = 9

90 × (1 - 0.8) = 18

45 × (1 - 0.9) = 4.5

Now we will investigate the shape of the sampling distribution of sample means. When we were discussing the sampling distribution of sample proportions, we said that this distribution is approximately normal if np ≥ 10 and n(1 – p) ≥ 10. In other words

Therefore;

A normal curve can be used to approximate the sampling distribution of only option C. n = 90; p = 0.8

Answer:

To solve the equation (4x - 24) + x = 14, we can start by combining like terms on the left side of the equation:

4x - 24 + x = 14

Next we'll add the x terms together and the constants together:

5x - 24 = 14

Then we'll add 24 to both sides to get all the x terms on one side:

5x = 38

Finally we'll divide both sides by 5 to find the value of x:

x = 7.6

So the solution to the equation is x = 7.6

The length of AG is approximately 34.47 mm to 2 decimal places.

what is length ?

In mathematics, length is a measure of distance along a straight line or curve. It is a fundamental concept in geometry and is defined as the distance between two points in space.

what is decimal places ?

In mathematics, decimal places refer to the number of digits that appear after the decimal point in a number expressed in decimal form.

In the given question,

To find the length of AG, we can use trigonometry and the given angles. Let's label some points on the diagram:

Let O be the center of square aehd, and let M be the midpoint of AD.

We can see that triangle AOG is a right triangle, since AO and OG are perpendicular (because square aehd is perpendicular to square bfgc). Therefore, we can use trigonometry to find the length of AG.

First, let's find the length of OM. Since M is the midpoint of AD, we know that OM = AD/2 = 21 mm.

Next, let's find the length of AM. We can use trigonometry and the given angles:

tan(27) = AM/AG => AM = AG * tan(27)

tan(36) = AM/OM => AM = OM * tan(36)

Therefore, we can combine these two equations to find AG:

AG * tan(27) = OM * tan(36)

AG = OM * tan(36) / tan(27)

AG = 21 * tan(36) / tan(27)

AG ≈ 34.47 mm (rounded to 2 decimal places)

Therefore, the length of AG is approximately 34.47 mm to 2 decimal places.

To know more about length , visit:

https://brainly.com/question/30100801

#SPJ1

m<COB

Our answer is 60°

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

Please remember to vote this as Brainliest if I earned it!

There are 266 number of  ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars.

To determine the number of ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars, we need to consider the possible arrangements.

Let's analyze the scenario:

1. All three cars are parked in adjacent slots

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side), 6 possible positions for the second car (as it also needs one vacant slot on the right side), and the third car will occupy the remaining slot.

Total arrangements for Case 1 = 7 * 6 = 42.

2. One vacant slot between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 5 remaining slots where the second car can be parked (one vacant slot between the first and second car).

The third car will occupy one of the remaining 4 slots.

Total arrangements for Case 2 = 7 * 5 * 4 = 140.

3. Two vacant slots between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 4 remaining slots where the second car can be parked (two vacant slots between the first and second car).

The third car will occupy one of the remaining 3 slots.

Total arrangements for Case 3 = 7 * 4 * 3 = 84.

Total number of ways = Total arrangements for Case 1 + Total arrangements for Case 2 + Total arrangements for Case 3

Total number of ways = 42 + 140 + 84 = 266.

To know more about number of  ways refer here:

https://brainly.com/question/30649502#

#SPJ11

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

To learn more about angle click here: brainly.com/question/30147425

#SPJ11