A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.

Answer:

\(\huge\underline\color{skyblue}{Answer ☘}\)

\(3(n - 2) - 1 < 2 - 5(n + 5) \\ 3n - 6 - 1 < 2 - 5n - 25 \\ 3n - 7 < - 5n - 23 \\ 3n + 5n < - 23 + 7 \\ 8n < - 16 \\ n < \frac{ - 16}{2} \\ n < - 2\)

therefore..

hope helpful~

Step-by-step explanation:

3(n - 2) - 1 < 2 - 5(n + 5)

3n - 6 - 1 < 2 - 5n - 25

3n - 7 < -23 - 5n

3n + 5n < -23 + 7

8n < -16

n < -16/8

n < 2

Option C

Triangles are said to be congruent if two of their sides and the included angle are the same as their corresponding sides and angles of another triangle.

When determining if a set of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, triangles are congruent if their two sides and included angles are the same as those of another triangle.

If two sides and an included angle of one triangle are equal to the sides and an included angle of the second triangle .

Then two triangles are said to be congruent according to the SAS. According to SAS theorem of congruence, two triangles are congruent if the corresponding two sides and their included angles in one triangle .

To know more about SAS visit :-

https://brainly.com/question/28035848

#SPJ4

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

The density formula is given by:

Density = mass/volume

The volume of the cylinder = π * radius² * height

Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:

Volume = π * 20.5² * 780 = 1029798 cm³

Density = mass/volume

6.1 = mass/1029798

mass = 6281770 kg

Cost = 6281770 kg * $0.62 per kilogram = $3894697.41

The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41

Find out more on Density at: https://brainly.com/question/1354972

If the median of a normal distribution is known, it can be said that the mean of the distribution is also equal to the median. This is because the normal distribution is symmetric, with the median and mean at the center of the curve.

For a normal distribution, the mean and median are equal, so if the median is known, then the mean is also known. In a normal distribution, the median represents the point where exactly half of the data falls below and half falls above that point. Since the mean is also the point where the data balances out, meaning the sum of the values above the mean is equal to the sum of the values below the mean, it is also equal to the median. Therefore, if the median of a normal distribution curve is known, we can conclude that the mean is also equal to that value.

You can learn more about median at

https://brainly.com/question/16408033

#SPJ11

Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \(\frac{-3-2}{2-(-3)}\) = \(\frac{-5}{2+3}\) = \(\frac{-5}{5}\) = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

There are four degrees of freedom for the chi-square goodness-of-fit test in this study. So, correct option is B.

For a chi-square goodness-of-fit test in the context of testing the fairness of a spinner with five sections, the number of degrees of freedom can be determined by subtracting 1 from the number of categories being tested.

In this case, since the spinner has five sections, there are five categories. Therefore, the degrees of freedom for the chi-square goodness-of-fit test would be:

Degrees of freedom = Number of categories - 1

= 5 - 1

= 4

Degrees of freedom represent the number of values in the final calculation of the chi-square test statistic that are free to vary. It determines the critical values and the distribution of the test statistic.

In the case of the chi-square goodness-of-fit test, the test compares the observed frequencies in each category with the expected frequencies under the assumption of fairness. By comparing these frequencies, the test determines if there is a significant deviation from the expected distribution, indicating unfairness in the spinner.

So, correct option is B.

To learn more about chi-square click on,

https://brainly.com/question/31797551

#SPJ4

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

To know more about proportion here

https://brainly.com/question/24232216

#SPJ4

Answer:

Its true though.

Step-by-step explanation:

The coefficient is before the variable and since in 2p the 2 is before the variable it is a coefficient.

Answer:

Yes It is True.

Step-by-step explanation:

Any number before variable is a coefficient

Answer: 2880 flowers

Step-by-step explanation:

Since 648 flowers were arranged in 27 large vases, with the same number in each vase, this means that each vase will contain 24 flowers

= 648/27

= 24 flowers

Therefore, the number of flowers needed to fill 120 vases will be:

= 24 × 120

= 2880 flowers

Sal will pay to tile his entryway by calculating the area of the entryway in square feet and multiplying it by the cost of the tile per square foot.

To determine the cost of tiling Sal's entryway, we need to calculate the area of the floor plan. Since each unit length represents 1 foot, we can consider the dimensions of the floor plan in terms of feet. Let's say the length is 'L' feet and the width is 'W' feet. The area can be found by multiplying L by W, giving us the total area in square feet.

Once we have the area, we can multiply it by the cost per square foot, which is $1.15. This will give us the total cost of the tiles needed to cover the entryway.

It's important to note that rounding the final answer to the nearest cent is necessary to provide a precise cost value.

Therefore, by calculating the area of the entryway and multiplying it by the cost per square foot, we can determine the total amount Sal will pay to tile his entryway.

In conclusion, to calculate the cost, we need to find the area of the entryway by multiplying the length and width in units, convert it to square feet, and then multiply it by the tile cost per square foot.

To know more about calculating the area refer here:

https://brainly.com/question/30656333

#SPJ11

Answer:

Step-by-step explanation:

Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

If the Small helicopters weigh 2 pounds each and are shipped in a container that weighs 20 pounds. Large helicopters weigh 4 pounds apiece and are shipped in a container that weighs 10 pounds. then both containers can fit 10 small helicopters or 5 large helicopters.

           If these boxes can hold the same number of helicopters, all of the packed containers will have the same shipping weight. Therefore, the same number of helicopters will fit in either container. To calculate the number of helicopters that can fit in each container, divide the container weight by the weight of the helicopter.

For small helicopters: 20 lbs / 2 lbs = 10 helicopters

For large helicopters: 10 lbs / 4 lbs = 5 helicopters

              Therefore, both containers can fit 10 small helicopters or 5 large helicopters.

To learn more about containers and weight visit: https://brainly.com/question/17031320

#SPJ11

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

Learn more About Distributive Law from the given link

https://brainly.com/question/25224410

#SPJ11

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

For more such questions on right angled triangle.

https://brainly.com/question/64787

#SPJ8

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To know more about ordered pair refer here:

https://brainly.com/question/28874341#

#SPJ11

2. a. A belongs to either the first or second quadrant, while B belongs to the second quadrant.

b. Displacement is \(\sqrt{(B*cos(60.0\°))^2 + (A + B*sin(60.0\°))^2}\).

c. The graphical representation is drawn.

3. a. Choose an origin (0, 0) on the ground with x-axis towards the basket and y-axis upwards.

b. Horizontal distance from you to the basket is Vx * (B/50).

c. The height of the basket is H = (D/50) * sin(60.0°).

d. It is a realistic basketball problem if the calculated height is within a reasonable range for a basketball hoop.

2. a. In quadrant notation, the first quadrant is top right, the second quadrant is top left, the third quadrant is bottom left, and the fourth quadrant is bottom right.

For vector A, the rural mail carrier walks in a northerly direction, so it lies in the positive y-axis direction. Therefore, vector A belongs to either the first or second quadrant.

For vector B, the carrier walks in a direction 60.0 degrees north of west. Since west is in the negative x-axis direction, a direction 60.0 degrees north of west will be in the second quadrant.

b. To find the displacement from the post office, we need to find the resultant vector by adding vectors A and B.

Let's assume A = A magnitude and B = B magnitude.

The horizontal component of vector B can be found using cosine: Bx = B * cos(60.0°).

The vertical component of vector B can be found using sine: By = B * sin(60.0°).

The displacement in the x-direction is the sum of the horizontal components of A and B: Dx = 0 + Bx.

The displacement in the y-direction is the sum of the vertical components of A and B: Dy = A + By.

The displacement from the post office can be calculated using the Pythagorean theorem: Displacement = sqrt(Dx^2 + Dy^2).

c. To sketch the graphical representation of vector addition, you can draw a coordinate system with the x-axis and y-axis. Start at the origin (representing the post office), and draw vector A in the northerly direction. Then draw vector B starting from the end point of vector A at an angle of 60.0 degrees north of west. The displacement vector will be the straight line connecting the initial point (post office) to the end point of vector B.

3. a. It's difficult to draw a cartoon in this text-based format, but you can imagine a basketball court. Choose an origin (0, 0) on the ground, with the x-axis extending horizontally from the origin towards the basket and the y-axis extending vertically upwards.

b. The horizontal distance from you to the basket can be calculated using the horizontal component of the ball's velocity. Let's assume the horizontal component is Vx. Then the horizontal distance traveled can be found using the equation: Distance = Vx * (B/50).

c. The height of the basket can be determined by calculating the vertical displacement of the ball. Let's assume the height is H. The vertical displacement can be found using the equation: H = (D/50) * sin(60.0°), where D is the initial speed of the ball.

d. It's unclear what you mean by "real basketball problem." However, based on the given information, if the height calculated in part c is a positive value and within a reasonable range for a basketball hoop, then it would be a realistic scenario. If the calculated height is negative or unreasonably large, it would indicate an unrealistic situation.

To know more about Displacement, refer here:

https://brainly.com/question/30466999

#SPJ4

There are 10 possible outcomes in the sample space.

To determine the number of outcomes in the sample space, we need to consider the number of possible sequences of paint jars the painter can try before finally obtaining the purple color.

Since the painter does not repeat any of the jars, we can count the outcomes by considering the possible positions of the purple jar within the sequence.

In the first attempt, there are 4 different jars she can choose from.

If the purple jar is not chosen in the first attempt, there are 3 remaining jars she can choose from in the second attempt.

If the purple jar is not chosen in the second attempt, there are 2 remaining jars she can choose from in the third attempt.

If the purple jar is not chosen in the third attempt, there is only 1 remaining jar she can choose from in the fourth attempt.

Since the purple jar must be chosen at some point, it will be one of the four attempts. Therefore, the total number of outcomes in the sample space is the sum of the outcomes at each step:

4 + 3 + 2 + 1 = 10

So, there are 10 possible outcomes in the sample space.

Learn more about sample space here:

https://brainly.com/question/30206035

#SPJ11

The probability for the given population mean and standard deviation that average weight of 4babies will be > 7.5 lbs is 0.8729, or 87.29%.

Population mean (μ) =7 lbs

Population standard deviation (σ) = 0.875 lbs

Sample size (n) = 4

Sample mean (X) = 7.5 lbs

To find the probability that the average weight of the four babies will be more than 7.5 lbs.

calculate the z-score and use the standard normal distribution.

First,  calculate the standard error (SE), which represents the standard deviation of the sampling distribution of the sample mean.

The formula for SE is,

SE = σ / √n

⇒SE = 0.875 / √4

⇒SE = 0.875 / 2

⇒SE = 0.4375 lbs

Next, calculate the z-score using the formula,

z = (X - μ) / SE

⇒z = (7.5 - 7) / 0.4375

⇒z = 0.5 / 0.4375

⇒z ≈ 1.143

Now, find the probability that the z-score is greater than 1.143 using a standard normal distribution calculator.

The probability of the z-score being greater than 1.143 can be found as

P(Z > 1.143)

Looking up the z-score in the standard normal distribution calculator,

The probability associated with 1.143 is approximately 0.8729.

Therefore, the probability that the average weight of the four babies will be more than 7.5 lbs is approximately 0.8729, or 87.29%.

learn more about probability here

brainly.com/question/32877572

#SPJ4

The above question is incomplete, the complete question is:

Birth weights of babies born to full-term pregnancies follow roughly a normal distribution. At Meadowbrook Hospital, the mean weight of babies born to full-term pregnancies is 7 lbs with a standard deviation of 0.875 lbs. The sampling distribution of the sample mean birth weight for a random sample of 4 babies born to full-term pregnancies is approximately normal.

Required:

What is the probability that the average weight of the four babies will be more than 7.5 lbs?

Answer:

65

Step-by-step explanation:

40 + 75 = 115

180 - 115 = 65

Answer:

x=65

Explaination

x+75+40=180

or,x+ 115=180

or, x=180-115

or x= 65

Form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

As given in the question,

Probability distribution established by baker :

    x :       1               2                3              4

P(x) :       0.10        0.30         0.40          0.20

As it is give that number of batches made by baker to sell muffins .

For selling 1 batch x = 1.

For selling 2 batch x = 2.

For selling 3batch x = 3.

For selling 4 batch x = 4

Probability of selling exactly one batch by baker is given by when x =1

Probability of x  = 1 is given by :

P( x = 1 )  = 0.10

Therefore, form the given probability distribution, the probability of selling exactly one batch by baker is equal to 0.10.

The complete question is :

A baker is deciding how many batches of muffins to make to sell in his bakery. He wants to make enough to sell every one and no fewer. Through observation, the baker has established a probability distribution. x P(x) 1 0.10 2 0.30 3 0.40 4 0.20 What is the probability the baker will sell exactly one batch.

Learn more about probability here

brainly.com/question/11234923

#SPJ1

Answer:

H is the hypotenuse (the one in the middle) and the legs are the other two sides of the triangle.

Step-by-step explanation:

The symbol replaces the box to make the statement true that 16 ÷ 4 + 12 □ 4 + 24 ÷ 2 is an equal sign, so 16 ÷ 4 + 12 = 4 + 24 ÷ 2.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Given expression:

16 ÷ 4 + 12 □ 4 + 24 ÷ 2

Here calculate the first term

16 ÷ 4 + 12 = 4 + 12 = 16

Calculate the second term

4 + 24 ÷ 2 = 4 + 12 = 16

Thus, the equal sign will replace the box,

Therefore, the symbol replaces the box to make the statement true that 16 ÷ 4 + 12 □ 4 + 24 ÷ 2 is an equal sign.

To know more about the expression:

https://brainly.com/question/13947055

#SPJ1

The value 1.106 represents the slope of the regression line or the rate of change of y with respect to x.

In the given regression equation y = 3.915(1.106)x:

Learn more about slope here https://brainly.com/question/19131126

#SPJ4

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

Check the picture below.

Answer:

4 1/4.

Step-by-step explanation:

First convert to improper fractions:

1 3/4 = (4*1 + 3)/4 = 7/4

2 1/2 = (2*2 + 1)/2 = 5/2

So it becomes:

7/4 + 5/2

The LCM of 2 and 4  is 4 so we write:

7/4 + 10/4

= 17/4

Now convert this to a mixed number:

17 / 4 = 4 remainder 1

So the answer is 4 1/4.

Answer:

4¼ is the answer

Step-by-step explanation:

\( \\ 1 \frac{3}{4} + 2\frac{1}{2} \)

\( \\ \rightarrow \frac{7}{4} + \frac{5}{2} \)

\( \\ \rightarrow\frac{7 + 10}{4} \)

\( \\ \rightarrow \frac{17}{4} \)

\( \\ \rightarrow 4\frac{1}{4} \)

As we can see 17/4 is not divisible by 4 so if we divide it we will get decimal number or mixed number and we need the answer in mixed number so the number 4¼ is in the simplest form and is the answer.

Hope it's helpful!

The value of p is -5

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

\(14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5\)

To learn more about cross multiplication visit: brainly.com/question/29190202

#SPJ4

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

To know more about measurement , visit:

https://brainly.com/question/4725561

#SPJ11

The explicit formula for the given sequence is\($-2 n+10$\).

Given sequence is-

\($$8,6,4,2,0 \text {, }$$\)

In the given sequence there is a common difference of $-2$ in two successive terms so the given sequence is an arithmetic sequence.

Here

first term\($\left(a_1\right)=8$\)

common difference \($(d)=-2$\)

So the explicit formula for the nth term of the given sequence-

\(& a_n=a_1+(n-1) d \\\)

\(& a_n=8+(n-1)(-2) \\\)

\(& a_n=8-2 n+2 \\\)

\(& a_n=-2 n+10\)

So the explicit formula for the given sequence is \($-2 n+10$\)

Now

\(& a_{14}=-2(14)+10 \\\)

\(& a_{14}=-28+10 \\\)

\(& a_{14}=-18\)

So \($a_{14}=-18$\) is the required answer.

Also, explicit formula for the given sequence is\($-2 n+10$\).

The complete question is,

Write an explicit formula for the sequence 8,6,4,2,0, ...Then find \($a_{14}$\).

\(& -a_n=-2 n+10 ;-16 \\\)

\(& -a_n=-2 n+8 ;-18 \\\)

\(& -a_n=-2 n+8 ;-20 \\\)

\(& -a_n=-2 n+10 ;-18\)

To learn more about Arithmetic Sequence refer to:

https://brainly.com/question/6561461

#SPJ1

Answer:

Step-by-step explanation:

c circle