How many different ways are there to choose a dozen donuts from the 4 varities at a donut shop so that you get atleast one donut of every variety g

quick answer (A)

ALL real numbers less than or equal to 8

Answer:

C

Step-by-step explanation:

The solution to a system equations is the point(s) of intersection of the 2 graphs.

Assuming that each square grid represents 1 unit, the coordinates of the point intersection is (-2, 2). This is because drawing a vertical line straight down from the point of intersection, we notice that the x-coordinate of the solution is 2 square units on the left of the origin. Drawing a horizontal line from the point of intersection to the y-axis gives us the y-coordinate of y= 2. Thus, the solution is (-2, 2) and the answer is C.

This method of finding the solution is also known as graphical method, where the graphs of the 2 equations are drawn, and the solution is where the lines cuts through each other.

Alternative methods of solving equations include substitution and elimination methods.

*Origin is the point (0, 0) on the graph, and it is the point in which the two axes intersect.

Additional:

For an example of solving by substitution, do check out the following!

For Part A the probability is 0.0095 and for Part B the probability is

0.0043.

Probability of defect is perhaps the most important indicator of a manufacturing process's quality. It's a statistical technique used to indicate how often a product will fail during its lifespan, which in turn allows you to estimate the likelihood that an item will result in customer dissatisfaction.

Part A:

The number of rivets=22 rivets

Probability that no rivet is defective= [tex](1-p)^{22}[/tex]

The probability that at least one rivet is defective=1-[tex](1-p)^{22}[/tex]

For 19% of all seams need reworking, probability that a rivet is defective is given by

1-[tex](1-p)^{22}[/tex] = 0.19

[tex](1-p)^{22} = 1-0.19\\(1-p)^{22} = 0.81\\ p=1-\sqrt[22]{0.81} \\p=0.0095[/tex]

Part B:

For 9% of all seams need reworking, probability of a defective rivet is:

1-[tex](1-p)^{22}[/tex] = 0.09

[tex](1-p)^{22} = 1-0.09\\(1-p)^{22} = 0.91\\ p=1-\sqrt[22]{0.91} \\p=0.0043[/tex]

Hence, For Part A the probability is 0.0095 and for Part B the probability is 0.0043.

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The triangle ABC was reflected over the x axis to form triangle A'B'C, hence the measures of the corresponding angles are congruent.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The triangle ABC was reflected over the x axis to form triangle A'B'C, hence the measures of the corresponding angles are congruent.

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Answer:

Total cost is $177.50.

Step-by-step explanation:

Rackets:

Divide the cost for racket by 6 to find the cost per racket.

186÷6=31

Multiply 31 by 5 to find the cost for 5 rackets.

31×5=155

$155

Tubes of balls:

Divide 27 by 6 to find the cost per a tube of balls.

27÷6=4.50

Multiply 4.50 by 5 to find the cost for 5 tubes of balls.

4.50×5=22.50

$22.50

Add the amounts for rackets and tubes of balls to find the total cost.

155+22.50=177.50

The total cost is $177.50.

Hope this helps!

The time that the first train would get to Oakengats is 08:15.

The time of arrival of the first train can be gotten from the table.

The first entry has a blank space. This would have been the time of arrival for the train.

After the blank space, the next time is when the fits train got to this destination. That is at 08:15

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Answer:

9

Step-by-step explanation:

3 + 0 = 3

-2 + 6 = 4

2 + 18 = 20

From this:

1 + 8 = 9

Answer:

A.9

Step-by-step explanation:

✓3 + 0 = 3

✓ -2 + 6 = 4

✓ 1 + 8 = 9

✓ 2 + 18 = 20 beacuse of this the answer is 9

Answer:

Yes. If the squares of the 2 short sides add up to the square of the hypotenuse, the triangle contains a right angle. Hope this helped.

Answer:

2

Step-by-step explanation:

The area of the shape is 84.78 square units

The formula for calculating the area of a circle is expressed as:

A = πr²

where

r is the radius of a circle

Given the following

r = 6 units

pi = 3.14

Substitute

A = 3.14 * 6²

A = 113.04 square units

If the figure is 3/4 of a circle, the area of the shape will be:

A = 3/4 * 113.04

A = 84.78 square units

Hence the area of the shape is 84.78 square units

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Answer:

x/8 gallons.

Step-by-step explanation:

The 8 containers have the larger capacity as the 2 totals are x and the other containers are 16 in total.

Capacity of each of the large containers = x/8 gallons.

Answer:

150g for 6 servings

x grams for 15 servings

150/6 = 25

15 x 25 = 375

375g of sugar will be required to make 15 servings.

Answer:

the answer you can find onlinde \\\\

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cylinder volume formula:

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

The second cylinder has:

Its volume is:

Substitute the value of the first cylinder:

Answer:

8.75

Step-by-step explanation:

3.75/3=1.25

1.25=1 square feet

1.25(7)=8.75

Hello, the solution of the problem is in this photo.

If the graph of the line falls from left to right, then the slope is negative.

The rate of change of area when radius = 4feet is 75.36 feet²/min.

Area definition, any particular extent of space or surface.

Area of circle = πr²

Let the area of the circle be πr²

dr/dt = 3feet/min (GIVEN)

Differentiating both sides with respect to time:

A = πr²

dA/dt =  π(2r).(dr/dt)

dA/dt = (2 * 3.14 * r).(dr/dt)

The rate of change of area when radius = 4feet

dA/dt  = (2 * 3.14 * 4).(3)

dA/dt = 75.36

Hence, the rate of change of area is 75.36feet²/min.

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The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

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Using a system of equations, it is found that she has 9 picture books.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:

[tex]\frac{x}{y} = \frac{3}[4}, \frac{x}{z} = \frac{3}{5}, \frac{y}{z} = \frac{4}[5}[/tex]

She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:

z + 5 - 0.5y = 14.

z - 0.5y = 9

From the ratios, we have that:

[tex]y = \frac{4}{3}x, z = \frac{5}{3}x[/tex]

Hence we solve for x to find the number of picture books:

[tex]z - \frac{y}{2} = 9[/tex]

[tex]\frac{5}{3}x - \frac{2}{3}x = 9[/tex]

x = 9.

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Answer:

60 and 80.

Step-by-step explanation:

If the numbers are x and y:

x + y = 140

x - y = 20     Adding:

2x = 160

x = 80

So y =  140 - 80 = 60.

Answer:

80 and 60

Step-by-step explanation:

Expressing the Word Problem mathematically.

Let the first number be X.

Let the second number be Y.

From the question,

[tex]x + y = 140 - - - - - (1) \\ x - y = 20 - - - - - (2) \\ From \: equation \: (2) \\ x = 20 + y - - - - - - (3) \\ Substitute \: equation \: 3 \: into \: 1 \\ 20 + y + y = 140 \\ 20 + 2y = 140 \\ 2y = 140 - 20 \\ 2y = 120 \\ Dividing \: bothsides \: by \: 2 \\ \frac{2y}{2} = \frac{120}{2} \\ y = 60 \\ Substitute \: y \: into \: quation \: 3 \\ x = 20 + 60 \\ x = 80 \\ Therefore, \: x = 80 \: and \: y = 60[/tex]

The two numbers are 80 and 60

Answer:

Exact form: 19 multiply 4200^28 + 1972^31 / 19

Decimal form: 3.55481422 multiply 10^101

Postulate: AA

Similarity statement: [tex]\triangle CBA \sim \triangle FED[/tex]

The statements that are true for the box plots are:

C. The median of Nadia’s data = median of Ben’s data.

D. Nadia had the highest score on a test

The median of a data set is the center value, which is indicated on a box plot by a vertical line that divides the box.

Given the two box plots, we can conclude that:

Median for the data of Nadia is 92, which is the same for Ben.

The extreme whisker to the right for Nadia is at 100, which is the highest value for Nadia while that of Ben is 99.

The true statements are:

C. The median of Nadia’s data = median of Ben’s data.

D. Nadia had the highest score on a test

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Answer:

"C" and "D"

Step-by-step explanation:

took test on edge 2023

If the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is: D. random.

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly flipped or tossed by anybody.

This ultimately implies that, the outcome of flipping a fair coin is generally going to produce only one of two results and these include the following:

In this context, we can infer and logically conclude that if the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is considered as being random.

In conclusion, it is important to note that a fair coin is considered as being random when the distribution of heads and tails of a fair coin is very regular in a large number of flips.

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The coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)

From the figure, the coordinates of the triangle RST are:

R = (-4, 2)

S = (3, 5)

T = (-4, -4)

The rule of translation is given as:

This is represented as:

(x, y) = (x + 4, y + 3)

So, we have:

R' = (-4 + 4, 2 + 3) = (0, 5)

S' = (3 + 4, 5 + 3) = (7, 8)

T = (-4 + 4, -4 + 3) = (0, -1)

Hence, the coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)

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The coordinates of the focus and the equation of the directrix is option B: focus: (0, one-half); directrix: y = negative one-half.

Since we were given Parabola x² = 2 y

Then one has to compare and and so it will be  x² = 4 a y

                                                                               4 a = 2

Make a the subject of the formula:

a = 2/4

= 1/2

Therefore,   Focus ( 0,a) = (0, 1/2 )

To solve for directrix:

Note that the equation of the directrix is:

y = -a or y +a=0

Then the equation of the directrix is:

y = - 1/2 or

y = + 1/2 = 0

Then the equation of the directrix will be 2 y +1 =0.

Therefore, The coordinates of the focus and the equation of the directrix is option B: focus: (0, one-half); directrix: y = negative one-half.

See full question below

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: (0, one-half); directrix: y = negative one-half focus: (8,0); directrix: x = –8 focus: (one-half, 0); directrix: x = negative one-half

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The rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

Note that rotation about in clockwise 90 degrees direction when M(h , k) rotated about the origin, the new rotation coordinates would be in the form M' (k , -h)

Coordinates of the preimage were given as;

H ( -3, -2)

I ( 1, 1 )

J ( 0, -4)

The coordinates after a 90 degrees rotation about the origin, would be

For H ( -3, -2)

h = - (-3) = 3

k = -2

H' = ( -2, 3)

For I ( 1, 1)

h = - (1) = -1

k = 1

I' = ( 1, -1)

For J ( 0, -4)

h = - (0) = 0

k = -4

J' = ( -4, 0 )

Thus, the rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

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Answer: y=8x+6

Step-by-step explanation:

The slope is

[tex]\frac{70-54}{8-6}=\frac{16}{2}=8[/tex]

So, the slope is 8.

Since the y-intercept is 6, the equation is y=8x+6.