There are 3 trucks for every 4 cars in a parking lot. how many trucks and cars could be in the parking lot ?

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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The probability of selecting a red candy from the bag will be 4/14.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

In the bag 4 red, 3 green, and 7 yellow candies.

Total candies = 4 + 3 + 7 = 14

The number of red candies is 4

The probability of selecting red candy is = 4/14

Hence"Picking a red candy out of the bag will have a 4/14 chance of happening".

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77

According to the question,

A rectangular box B is given with density ρ(x , y , z) = ze^(x+y)

We will find the mass of rectangular box B by using Triple integration method

In the question, The boundary limit for the density is given

0≤x≤1, 0≤y≤4, and 0≤z≤4

Mass formula = \(\int\int\int\limits_B {\rho (x,y,z)} \, dV\)

Where , dV is dz dy dx

So, \(\int\limits^1_0 \int\limits^4_0 \int\limits^4_0 {\rho(x,y,z)} \, dz dy dx\)

Putting  ρ(x , y , z) = ze^(x+y)

=> Mass = \(\int\limits^{1}_{0} \int\limits^{4}_{0} \int\limits^{4}_{0} ze^{(x+y)} \, dz dy dx\)

=> \(\int\limits^{1}_{0} \int\limits^{4}_{0}e^{(x+y)} [\frac{z^{2}}{2}]^{4}_{0} \, dy dx\)

=> \(\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{(x+y)} \, dy dx\)

=> \(\int\limits^{1}_{0} \int\limits^{4}_{0} 8e^{x}e^{y} \, dy dx\)

=> \(\int\limits^{1}_{0} 8e^{x} [e^{y}]^{4}_{0} \, dx\)

=> \(\int\limits^{1}_{0} 8e^{x} (e^{4}-1) \, dx\)

=> \(8 (e^{4}-1) [e^{x}]^{1}_{0}\)

=> \(8 (e^{4}-1) (e^{1}-1)\)

=> 8(e⁴⁺¹ - e⁴ - e¹ + 1)

=> 8(e⁵- e⁴ - e¹ + 1)

Writing value of exponential function,

Mass of rectangular box B = 736.77

Hence, The mass of the rectangular box B where B is the box determined by 0≤x≤1, 0≤y≤4, and 0≤z≤4 is 736.77

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Answer:

\(\text{27}\)

Step-by-step explanation:

Given that :

\(\text{Dimension of poster board} = 1 \ \text{yd} \ \text{by} \ 1 \ \text{yd}\)

\(\text{Dimension of each poster board} = \dfrac{1}{3} \ \text{yd} \ \text{by} \ \dfrac{1}{9} \ \text{yd}\)

Number of poster signs that can be cut :

\(\text{Area of poster sign} = \dfrac{1}{3} \times \dfrac{1}{9} = \dfrac{1}{27} \ \text{yard}^2\)

\(\text{Area of poster board} = 1 \ \text{yard}^2\)

Number of poster signs that can be cut :

\(\dfrac{\text{Area of poster board}}{\text{Area of poster sign}}\)

\(1 \ \text{yard}^2\div (\dfrac{1}{27} ) \ \text{yard}^2\)

\(1 \div \dfrac{1}{27}\)

\(1 \times \dfrac{27}{1}\)

\(\bold{= 27 \ poster \ signs}\)

Answer:

  does not exist

Step-by-step explanation:

The inverse relation is found by swapping x and y, then solving for y.

  x = y^2 +4

  x -4 = y^2

  y = ±√(x -4)

This is the inverse relation. Since it is double-valued, it is not a function.

__

The function given does not pass the horizontal line test, so there is no inverse function.

Choice 3

Step-by-step explanation:

-3 is the smallest and 3 is the biggest number

Answer:

the answer is 8,000.

Step-by-step explanation:

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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The length of the apothem is 10. 99cm

To determine the apothem of a polygon, we have to use the formula;

a = s/2 tan (180/n)

Such that the parameters are;

Now, substitute the values, we have;

a = 8/2tan(180/9)

divide the values

a = 8/2tan 20

Find the values

a = 8/0. 7279

Divide the values

a = 10. 99cm

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Answer: The answer is 3.

Answer:

3

Step By step:

The given statement exists true. A segment from the vertex of a triangle that is parallel to the other side.

The total of the lengths of any two segments must be greater than the length of the third segment in order to create a triangle. Any two sides of a triangle's lengths added together must be longer than the third side.

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is seen in the above figure.

A segment from the vertex of a triangle that is parallel to the other side. This section could be found on the triangle, inside it, or outside it.

There are three medians for every triangle, just as there are three altitudes, angle bisectors, and perpendicular bisectors. The lines that connect a triangle's vertices to the middles of its two opposite sides are known as the medians. The centroid of the triangle is the location where the three medians intersect.

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True. Since all the three combinations of segments when added the sum is greater than the third side the given segments can form a triangle.

According to the Triangle Inequality Theorem, a triangle's two side lengths added together are always greater than its third side. You will have a triangle if this holds true for each of the three possibilities of increased side lengths.

Given that the length of the three segments is:

AC = 9 units

CB = 4 units

BA = 11 units

According to the Triangle Inequality Theorem the sum of two sides of a triangle is always greater than third side. If this is true for all three combinations, then the triangle can be formed.

For the given segments:

AC + CB > BA

9 + 4 > 11

13 > 11 True

4 + 11> 9

True

9 + 11 > 4

Since all the three combinations when added the sum is greater than the third side the given segments can form a triangle.

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Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

Answer:Its 0

Step-by-step explanation:

It just is ok

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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we have that the sum of the internal angles of a triangle is equal to 180 therefore,

for p

for q

answer: B. p = q

To calculate the interest charged on a credit card account, we need to consider the average daily balance and the annual percentage rate (APR). Let's break down the calculations step by step for the given scenario.

1. April 1: Starting balance of $552.

2. April 10: Made a $119 purchase. The balance is now $552 + $119 = $671.

3. April 24: Made a $25 gift card purchase. The balance is now $671 + $25 = $696.

4. April 29: Made a $150 payment. The balance is reduced to $696 - $150 = $546.

Now, let's calculate the average daily balance for the billing cycle in April. The billing cycle can vary depending on the number of days in the month. Assuming April has 30 days, we calculate the average daily balance as follows:

Average Daily Balance = (Total balance for the month) / (Number of days in the month)

Total balance = Starting balance + Purchases - Payments = $552 + $119 + $25 - $150 = $546.

Number of days = 30 (April has 30 days).

Average Daily Balance = $546 / 30 = $18.20.

Now, we can calculate the interest charged for the billing cycle. The APR is 26.49%, which needs to be converted to a daily rate by dividing it by the number of days in a year (365):

Daily Interest Rate = (APR / 365) = (26.49% / 365) = 0.0725%.

Interest Charged = (Average Daily Balance) * (Daily Interest Rate) * (Number of days in the billing cycle)

Interest Charged = $18.20 * (0.000725) * 30 = $0.3969.

Therefore, the interest charged on the credit card account for the April billing cycle is approximately $0.40.

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round 5.7255 to thousands place

place after thousands place (5) rounds up the 5 before it

therefore 5.726 ur ans

MARK above ANS as branliest

Answer:

A and B

Step-by-step explanation:

The relationships that are most likely to be causal are:

A relationship is causal when one variable has a direct effect on another variable. For example, the number of assignments completed would have an effect on the grade on an exam because as a students compeletes his assingment he becomes more familiar with the course.

Positive correlation means that the two variables have a positive relationship with each other. If one of the variable increases, the other vairable increases.  

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The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Answer:

Is B

3x+3

____

4x

Step-by-step explanation:

I think is B

Answer:

B

Step-by-step explanation

B because 45 x 76 =3420

Answer:

B

Step-by-step explanation:

Because I need points

Answer:

Gross salary =G

Number of worked hours =x

Dollar per hour =$12

substitute the given data into the gross salary formula and simplify.

Gross salary = (number of worked hours)

G =(x) (12)

G =12x

Therefore, G(x) =12x

Hence the function is G(x) = 12x

Answer:

24

Step-by-step explanation:

Answer:

the area of triangle is 1/2 B*h

Step-by-step explanation:

1/2 *4*10

i.e 20cmsquare .