A snow-cone machine priced at $139 is on sale for 20% off. What is the price of the snow-cone machine after the discount?

Answers

Answer 1

Answer:

The answer would be 127. 03

Step-by-step explanation:


Related Questions

plz help what is 8 t.=_______lb.?

Answers

Answer:

16,000 lb.

Step-by-step explanation:

For every ton, it equals 2,000 pounds. So to find how many pounds is in 8 tons, just multiply 2,000 by 8. This would give you 16,000 pounds!

This is of course using the U.S. tons, so if you want to convert it for metric tons it would be 17,632 since 1 metric ton = 2204.

I hope this was able to help!

A coffee shop uses 1/36 of a package of coffee beans to make 1/4 of a pot of coffee How many pots of coffee can the coffee shop make using the whole package of coffee beans? Enter your answer in the box.​

Answers

Answer:

9 pots

Step-by-step explanation:

Find output value of s.
procedure sum s:= 0
for i:=1 to 3
for j:=1 to i
s:=s + i.j

Answers

Considering the value of the equation after each iteration of the loop, the output value of s is 25.

What is the value of s after each iteration?

We have that i ranges from 1 to 3, and from each value of i, j ranges from 1 to 1. s starts at 0, hence, for each iteration, the value of s is found as follows. The output value is the value after the last iteration.

i = 1, j = 1: s = 0 + 1 x 1 = 1.i = 2, j = 1: s = 1 + 2 x 1 = 3.i = 2, j = 2: s = 3 + 2 x 2 = 7.i = 3, j = 1: s = 7 + 3 x 1 = 10.i = 3, j = 2: s = 10 + 3 x 2 = 16.i = 3, j = 3: s = 16 + 3 x 3 = 25.

The output value of s is of 25.

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What is the equation of the function?
y= (3)
y= 2(3)
y=2)
y=3(3)

Answers

Answer:

it has to be the 4 one I did this question before

quizziz a random variable x has a mean of 5 and a std dev of .40. a random variable y has a mean of 8 and a std dev of .60. what is the mean of x y

Answers

The required mean as calculated from the given data is 13.

To calculate the mean x + y

mean of x + mean of y

= 5 + 8

=13

In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the

Standard Deviation

The indicator of dispersion is the standard deviation. It denotes how widely apart the data values are from the mean value.

Formula: σ=∑i=1nxi-μ2n

NOTE :

Complete question:

A random variable X has a mean of 5 and a st. dev of 0.40. A random variable Y has a mean of 8 and a st. dev of 0.60. If both are independent, what is the mean of X + Y?

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Is 6 a factor of 20 yes or no

Answers

Answer:

no 6 aint no factor of 20

Step-by-step explanation:

If you want to paint the walls of a 20 ft by 20ft room and the walls are 10 ft high and a gallon of paint covers 400 square feet, how many gallons of paint are needed for the room

Answers

You will need 2 gallons of paint to paint the walls of the 20 ft by 20 ft room..

To determine the number of gallons of paint needed for the room, we need to calculate the total surface area of the walls.

First, calculate the area of one wall:
Area of one wall = height * length
Area of one wall = 10 ft * 20 ft
Area of one wall = 200 square feet

Since there are four walls in the room, we need to calculate the total area of all the walls:
Total area of walls = area of one wall * number of walls
Total area of walls = 200 square feet * 4 walls
Total area of walls = 800 square feet

Next, divide the total area of the walls by the coverage of one gallon of paint:
Gallons of paint needed = Total area of walls / Coverage of one gallon of paint
Gallons of paint needed = 800 square feet / 400 square feet per gallon
Gallons of paint needed = 2 gallons

Therefore, you will need 2 gallons of paint to paint the walls of the 20 ft by 20 ft room.

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To paint the walls of a 20 ft by 20 ft room with 10 ft high walls, you will need 2 gallons of paint.

To calculate the amount of paint needed to cover the walls of a 20 ft by 20 ft room, we first need to determine the total area of the walls.

The room has four walls, each with a height of 10 ft. Since the walls go all the way around the room, the total perimeter of the room is (20 ft + 20 ft + 20 ft + 20 ft) = 80 ft.

To find the total area of the walls, we multiply the perimeter by the height: (80 ft) * (10 ft) = 800 square feet.

Since a gallon of paint covers 400 square feet, we divide the total area of the walls by the coverage per gallon: 800 square feet ÷ 400 square feet/gallon = 2 gallons.

Therefore, you will need 2 gallons of paint to cover the walls of the 20 ft by 20 ft room.

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Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)

Answers

Part A: The system of equations to shows each person's subscribers is:

S  =  100  +  8x

A  =  220  +  3x

Part B: Sam and Alex will have the same number of subscribers after 24 weeks

Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal

Let the number of weeks be x

The initial number of followers that Sam has = 100

Sam gains 8 subscribers every week

Let the total number of subscribers that Sam has be S

The equation that represents Sam's total subscribers is:

S    =   100  +   8x..................(1)

The initial number of followers that Alex has = 220

Alex gains 8 subscribers every week

Let the total number of Alex's subscribers be A

A  =  220  +  3x....................(2)

If Sam and Alex have the same number of subscribers:

S   =   A

100 + 8x  =  220  +  3x

8x  -  3x   =   220   -  100

5x    =   120

x   =  120/5

x   =   24

Sam and Alex will have the same number of subscribers after 24 weeks

To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)

S = 100 + 8x

S  =  100  +  8(24)

S  =   292

Sam and Alex will have 292 subscribers when their subscriber count is equal

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Exponential form has two parts: __________________ and ____________________

Answers

Answer:

The exponential form has two parts: base and exponent

Can anyone please help me with thiss!! ​

Can anyone please help me with thiss!!

Answers

Answer:

x15

Step-by-step explanation:

first combine the like terms in 4F + (-21)+10 F

Answers

Answer:

7 ( 2F - 3 )

Step-by-step explanation:

4F + (-21) + 10 F

14F - 21

Combine like terms ^

14F - 21

7 ( 2F - 3 )

Find the common factor ^

And there you have it

7 ( 2F - 3 )

1500-200 x (200+ 50)

Answers

Answer:

-48,500

Step-by-step explanation:

1500 - 200 × (200 + 50) =

= 1500 - 200 × 250

= 1500 - 50,000

= -48,500

Answer:

-48500

Step-by-step explanation:

1500-200 x (200+ 50) =                                (remember PEMDAS)

1500 - 200 x 250 =

1500 - 50000 =

-48500

What is the most precise name for quadrilateral ABCD
with vertices A(−2,4), B(3,4), C(6,0)
, and D(1,0)
?

A. parallelogram
B. rhombus
C. square
D. rectangle

Answers

The most precise name for quadrilateral ABCD, based on the given vertices, is a rectangle. Option D is the correct answer.

To determine the most precise name for quadrilateral ABCD, let's analyze the properties of the given points.

The coordinates of the vertices are as follows:

A(-2, 4)

B(3, 4)

C(6, 0)

D(1, 0)

First, let's examine the properties of the sides:

AB: The length of AB is 3 - (-2) = 5 units.

BC: The length of BC is 6 - 3 = 3 units.

CD: The length of CD is 1 - 6 = -5 units (negative indicates direction).

DA: The length of DA is -2 - 1 = -3 units (negative indicates direction).

Since the opposite sides AB and CD have equal lengths (5 units) and the opposite sides BC and DA have equal lengths (-3 units), we can conclude that the quadrilateral ABCD is a parallelogram.

Now, let's examine the properties of the angles:

Angle A: The angle at A is 90 degrees.

Angle B: The angle at B is 90 degrees.

Angle C: The angle at C is 90 degrees.

Angle D: The angle at D is 90 degrees.

Since all angles of the quadrilateral ABCD are 90 degrees, we can further conclude that it is a rectangle.

Option D is the correct answer.

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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.2 years, andstandard deviation of 2.7 years.If you randonvily purchase one item, what is the probability it will last longer than 13 years?Round answer to three decimal places

Answers

SOLUTION

Probability for Z score is given by the formula

\(\begin{gathered} Z=\frac{x-\mu}{\sigma} \\ \\ \text{Where x =sample mean} \\ \mu=\text{population mean and } \\ \sigma=\text{standard deviation } \\ Z=\frac{x-\mu}{\sigma} \\ \\ Z=\frac{13-14.2}{2.7} \\ \\ Z=\text{ -0.44} \\ P(x>Z)\text{ = 0.67} \end{gathered}\)

So from the Z score calculator, the Probability of it lasting more than 13 years = 0.67

Determine the area under the standard normal curve that lies between (a) Z = - 1.46 and Z=146, (b) Z-168 and 2-0, and (c) Z= -1.34 and Ze-0.31 GOGO (a) The area that lies between Z=- 146 and 2.146 is (Round to four decimal places as needed.) (b) The area that lies between Z=-168 and 2018 | (Round to four decimal places as needed) (c) The area that lies between Z= -134 and Z=-0.311 (Round to four decimal places as needed)

Answers

a).Therefore, the area that lies between Z=- 1.46 and 2.146 is 0.8530. b).Therefore, the area that lies between Z=-168 and 2018 is 0.9326. c).  Therefore, the area that lies between Z= -1.34 and Z=-0.311 is 0.0371 are the answers

The area under the standard normal curve that lies between

(a) Z = - 1.46 and Z=146,

(b) Z-168 and 2-0, and

(c) Z= -1.34 and

Ze-0.31 are as follows:

(a) The area that lies between Z=- 1.46 and 2.146 is equal to:

$0.9251-0.0721=0.8530$.

Therefore, the area that lies between Z=- 1.46 and 2.146 is 0.8530 (Round to four decimal places as needed.)

(b) The area that lies between Z=-168 and 2.018 is equal to:

$0.9767-0.0441=0.9326$.

Therefore, the area that lies between Z=-168 and 2018 is 0.9326 (Round to four decimal places as needed).

(c) The area that lies between Z= -1.34 and Z=-0.311 is equal to:

$0.4090-0.3719=0.0371$.

Therefore, the area that lies between Z= -1.34 and Z=-0.311 is 0.0371 (Round to four decimal places as needed).

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find is a simple interest for a loan where birr 6,000 borrowed and the amount owned after 5 months this is for 7,500 what is the rate​

Answers

To find the rate of interest, we can use the simple interest formula:

Interest = Principal * Rate * Time

In this case, the principal (P) is 6,000 birr, the time (T) is 5 months, and the amount owed (A) is 7,500 birr. We need to find the rate (R).

Interest = Amount Owed - Principal

Let's substitute the values into the formula:

Interest = 7,500 - 6,000
Interest = 1,500 birr

Now we can rearrange the formula to solve for the rate:

Rate = Interest / (Principal * Time)

Rate = 1,500 / (6,000 * 5/12)
Rate = 1,500 / (30,000/12)
Rate = 1,500 * 12 / 30,000
Rate = 0.6 or 0.6 * 100 = 60%

Therefore, the rate of interest for the loan is 60%.

Use the method for solving homogeneous equations to solve the following differential equation. Dx/dt = 4x² + 9t √6²+x² / 4tx
Ignoring lost solutions, if any, an implicit solution in the form F(t,x) = C is ___ =C, where C is an arbitrary constant. (Type an expression using x and t as the variables.)

Answers

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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A farmer has 90 meters of fencing to use to create a rectangular garden in the middle of an open field.Write a formula that expresses A in terms of l.What is the maximum area of the garden?What is the length and width of the garden that produces the maximum area?If the farmer instead has 260 meters of fencing to enclose the garden, what fence-length and fence-width will produce the garden with the maximum area?

Answers

To express the area A of the rectangular garden in terms of its length l, the formula is A = l * (90 - 2l). The maximum area of the garden can be determined by finding the maximum value of this formula.

The length and width of the garden that produce the maximum area when the farmer has 90 meters of fencing are l = 22.5 meters and w = 45 meters. If the farmer has 260 meters of fencing, the length and width that produce the garden with the maximum area will be l = 65 meters and w = 65 meters.

To derive the formula expressing the area A of the rectangular garden in terms of its length l, we need to consider the perimeter constraint. The perimeter is given as 90 meters, which means the total length of the fencing must equal 90 meters.

For a rectangular garden, the perimeter is calculated as 2 * (length + width). Therefore, we have the equation:

2 * (l + w) = 90

Simplifying the equation, we get:

l + w = 45

Next, we express the width w in terms of the length l by rearranging the equation:

w = 45 - l

To find the area A of the garden, we multiply the length l by the width w:

A = l * w = l * (45 - l)

This formula expresses the area A in terms of the length l.

To find the maximum area, we take the derivative of the area formula with respect to l and set it equal to zero:

dA/dl = 45 - 2l = 0

Solving this equation, we find l = 22.5 meters. Plugging this value back into the width equation w = 45 - l, we get w = 45 meters. Therefore, the length and width that produce the maximum area when the farmer has 90 meters of fencing are l = 22.5 meters and w = 45 meters.

If the farmer has 260 meters of fencing, we follow the same steps. The perimeter equation becomes:

2 * (l + w) = 260

Simplifying, we have:

l + w = 130

Expressing the width w in terms of the length l:

w = 130 - l

The area formula remains the same:

A = l * (130 - l)

To find the maximum area, we take the derivative:

dA/dl = 130 - 2l = 0

Solving this equation, we find l = 65 meters. Plugging this value back into the width equation w = 130 - l, we get w = 65 meters. Therefore, when the farmer has 260 meters of fencing, the length and width that produce the maximum area are l = 65 meters and w = 65 meters.

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Could someone help me find the interval notation for this compound inequality?

x<3 or x >= 5

Answers

Answer:

Interval notation of x<3 is (-∞,3)

Interval notation of x>=5 is [5,+∞)

Step-by-step explanation:

x<3

Since you did not enter an equal sign, this translates to ) since we will not be including the number 3

Based on the < you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞

(-∞,3)

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

x>=5

Because you entered an equal sign, this translates to [ since we include the number 5.

Based on the ≥ you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞

[5,+∞)

how to solve x=7y+3 and 9y-x=-1 using the subsituation method

Answers

Answer:

x=10  y=1

Step-by-step explanation:

A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7

Answers

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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What is the solution of the equation, 7a = 28

Answers

The value of the equation 7a = 28 is a = 4

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 equation be represented as A

Now , the value of A is

7a = 28

On simplifying the equation , we get

Divide by 7 on  both sides of the equation , we get

a = 28 / 7

a = 4

Therefore , the value of a is 4

Hence , The value of the equation 7a = 28 is a = 4

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The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.

A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?

Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.

Answers

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

A car rental agency charges $15 a day for driving a car 200 miles or less. If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven. Which of the following functions represents the cost to drive a car from this agency miles x a day?

A car rental agency charges $15 a day for driving a car 200 miles or less. If a car is driven over 200

Answers

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth

Answers

The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.

Given information:

A square room in Denise's house measures 15 feet by 15 feet.

Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.

Each side of the square measures 15 feet, so we have:

d² = 15² + 15²

Simplifying:

d² = 2(15²)

d² = 2(225)

d² = 450

Taking the square root of both sides:

d ≈ 21.2

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(-4,2) and (3,-5) the slope of the line, M, is?

Answers

Answer:

13212

Step-by-step explanation:

Given a population in which the probability of success is p=0.30, if a sample of 500 items is taken, then complete parts a and b. a. Calculate the probability the proportion of successes in the sample will be between 0.27 and 0.34. b. Calculate the probability the proportion of successes in the sample will be between 0.27 and 0.34 if the sample size is 200. a. The probability the proportion of successes in the sample will be between 0.27 and 0.34 is (Round to four decimal places as needed.) b. The probability the proportion of successes in the sample will be between 0.27 and 0.34 if the sample size is 200 is (Round to four decimal places as needed.)

Answers

(a) The probability that the proportion of successes in the sample will be between 0.27 and 0.34 (b) The probability that the proportion of successes in the sample will be between 0.27 and 0.34.

To solve this problem, we will use the normal approximation to the binomial distribution, since the sample size is large (n = 500 for part a and n = 200 for part b) and the conditions for the normal approximation are met.

The conditions for using the normal approximation to the binomial distribution are:

1. The sample is a simple random sample.

2. The sample size is sufficiently large (np ≥ 10 and n(1 - p) ≥ 10).

Given:

p = 0.30 (probability of success)

q = 1 - p = 0.70 (probability of failure)

n = 500 (sample size for part a)

n = 200 (sample size for part b)

(a) To calculate the probability that the proportion of successes in the sample will be between 0.27 and 0.34 when the sample size is 500, we need to calculate the z-scores corresponding to these proportions and use the standard normal distribution table.

First, we calculate the mean and standard deviation of the sampling distribution of the sample proportion:

mean (μ) = p = 0.30

standard deviation (σ) = sqrt((p * q) / n) = sqrt((0.30 * 0.70) / 500) ≈ 0.0203

Next, we calculate the z-scores for the lower and upper limits:

z1 = (0.27 - μ) / σ = (0.27 - 0.30) / 0.0203 ≈ -1.4764

z2 = (0.34 - μ) / σ = (0.34 - 0.30) / 0.0203 ≈ 1.9724

Using the standard normal distribution table or a calculator, we find the corresponding probabilities:

P(z1 ≤ Z ≤ z2) ≈ P(-1.4764 ≤ Z ≤ 1.9724) ≈ 0.9329 (rounded to four decimal places)

Therefore, the probability that the proportion of successes in the sample will be between 0.27 and 0.34 when the sample size is 500 is approximately 0.9329.

(b) To calculate the probability that the proportion of successes in the sample will be between 0.27 and 0.34 when the sample size is 200, we follow the same steps as in part (a), but with the updated sample size.

mean (μ) = p = 0.30

standard deviation (σ) = sqrt((p * q) / n) = sqrt((0.30 * 0.70) / 200) ≈ 0.0316

z1 = (0.27 - μ) / σ = (0.27 - 0.30) / 0.0316 ≈ -0.9487

z2 = (0.34 - μ) / σ = (0.34 - 0.30) / 0.0316 ≈ 1.2658

P(z1 ≤ Z ≤ z2) ≈ P(-0.9487 ≤ Z ≤ 1.2658) ≈ 0.8800 (rounded to four decimal places)

Therefore, the probability that the proportion of successes in the sample will be between 0.27 and 0.34 when the sample size is 200 is approximately 0.8800.

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Rachel has figured that there is an 85% likelihood that she will pass Math and a 70% likelihood she will pass Biology, she also thinks there is a 59.5% likelihood she will pass both. Based on Rachel's figures, what is the probability that Rachel will pass at least one of the courses

Answers

The probability that Rachel will pass at least one of the courses is 0.955 or 95.5%

To calculate the probability that Rachel will pass at least one of the courses, we need to use the formula;P(A or B) = P(A) + P(B) - P(A and B)Where P(A or B) is the probability of passing at least one course, P(A) is the probability of passing Math, P(B) is the probability of passing Biology, and P(A and B) is the probability of passing both Math and Biology.

Using the given information, we have:P(A) = 85% = 0.85P(B) = 70% = 0.7P(A and B) = 59.5% = 0.595Substituting these values into the formula, we get:P(passing at least one course) = 0.85 + 0.7 - 0.595= 0.955

As a result, Rachel has a 0.955 or 95.5% chance of passing at least one of the courses.95.5 percent, or 0.955.

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How far is 5, 3 from the origin

Answers

Answer:

2?

Step-by-step explanation:

Answer:

2 is 2+3 is 5hkfyisjfxksjfahffkfsugUg

15-36 Find the limit. 1 15. lim *-** 2x + 3 1 - x - x2 17. lim ** 2x2 - 7 x3 + 5x 2x3 – x2 + 4 19. lim

Answers

For the first limit, we can use direct substitution to get:

lim (2x+3)/(1-x-x^2) as x approaches 15

Plugging in 15 for x, we get:

(2(15) + 3)/(1 - 15 - 15^2) = -27/226

Therefore, the limit is -27/226.

For the second limit, we can again use direct substitution to get:

lim (2x^2 - 7x^3 + 5x)/(2x^3 - x^2 + 4) as x approaches -∞

Since the degree of the denominator is greater than the degree of the numerator, we know that the limit as x approaches -∞ will be 0.

Therefore, the limit is 0.

For the third limit, we can use L'Hopital's Rule to get:

lim (cos(x) - 1)/(x^2) as x approaches 0

Taking the derivative of the numerator and denominator with respect to x, we get:

lim -sin(x)/(2x) as x approaches 0

Plugging in 0 for x, we get:

lim -sin(0)/(2(0)) = 0

Therefore, the limit is 0.

It seems like you have several limit problems to solve, but the question formatting is a bit unclear. I'll address the three limit problems I can identify:

1. lim (2x + 3) / (1 - x - x^2) as x approaches a certain value (not provided)
2. lim (2x^2 - 7) / (x^3 + 5x) as x approaches a certain value (not provided)
3. lim (2x^3 - x^2 + 4) as x approaches a certain value (not provided)

To provide a more accurate answer, please specify the value that x is approaching in each limit problem.

Learn more about L'Hopital's Rule here: brainly.com/question/24116045

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