Hannah purchased a box of greeting cards with assorted designs. The box contains four cards of each design: daisies, sunflowers, lilies, birds, puppies, butterflies, dolphins, and landscapes. She selects one card at random from the box.

Calculate the following probabilities.

selecting a card with a sunflower or butterfly design
selecting a card with a lily, daisy, puppy, or bird design
selecting a card with a landscape design
selecting a card with a dolphin, sunflower, or landscape design
selecting a card with a bird or puppy design
Now, determine the events that have the highest and lowest probabilities and graph the values on the number line

Answers

Answer 1

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

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Related Questions

1/2 x 1350 x 144 = 97200 J where did they get the 144 from?

Answers

Speed^2 or velocity^2 because 12x12=144

It's looks like the Kinetic energy equation:

KE = 1/2mv^2

Hope this helps!


Are a 10-degree angle and a 65-degree angle complementary
angles?
Are a 40-degree angle and a 50-degree angle
complementary angles?
Are a 140-degree angle and a 40-degree angle
supplementary angles?
Are a 120-degree angle and a 60-degree angle
complementary angles?

Answers

Answer:

Complementary angles means sum of angles must to 90 degrees.

Supplementary angles means sum of angles must be 180 degrees.

1.

10 degree + 65 degree = 75 degree

   10 degree + 65 degree ≠ 90 degree

So, 10-degree angle and a 65-degree angle are

not complementary angles.

2.

40 degree + 50 degree = 90 degree

So, 40-degree angle and a 50-degree angle are

complementary angles.

3.

140 degree + 40 degree = 180 degree

So, 140-degree angle and a 40-degree angle are

supplementary angles.

4.

120 degree + 60 degree = 180 degree

120 degree + 60 degree ≠ 90 degree

So,120-degree angle and a 60-degree angle are

not complementary angles

One of the acute angles of a right-angled triangle is 16 degrees larger than the other. How many degrees are there in each of the acute angles?

Please answer using a linear equation.​

Answers

Answer:

30 & 60°

Step-by-step explanation:

2x + X + 90 = 180

3x = 90

X = 30°

so the accute angles are 30° and 60°

Nadia is buying sweater for $17.69 and a pair of pants for $24.35. if Nadia pays with a $50 bill, how much change will she receive

Answers

$7.96
Just add up what she bought and then subtract how much she has

A print shop borrows $6700 from a credit union for 338 days the credit union charges simple interest at an annual rate of 10% for this loan assum each day is 1/365 of a year

Answers

Answer:

The total he would have to pay back would be $7,320.44

Step-by-step explanation:

(I'm assuming you want the total amount he needs to pay back)

6700 x 0.10 = 670 per year

670 ÷ 365 = 1.835616438356164

1.835616438356164 × 338 = 620.44

620.44 + 6700 = 7,320.44

Can you please help me with number 5 asap? Thank you! : )

Answers

Step-by-step explanation:

the manufacturing costs are defined by

m(x) = 25x + 150

the selling revenue is defined by

s(x) = 50 + 30x = 30x + 50

clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.

so,

a)

the profit is (as usual) revenue minus manufacturing :

p(x) = 30x + 50 - 25x - 150 = 5x - 100

b)

x = 150

p(150) = 5×150 - 100 = 750 - 100 = $650

since the result is positive, yes, they are making a profit. and it is $650.

Answer:

5.a) p = 5x - 100

b)p = $650

Step-by-step explanation:

5.a)

Revenue minus cost:

p - Profit

p - Profitc - Cost

p - Profitc - Cost - revenue

p = r - c

p = (30x + 50) - (25x + 150)

p = 5x - 100

b) The company will make profit.

p = 5x - 100

p = 5(150) - 100

p = 750 - 100

p = $650

or

p = (30×150 + 50) - (25 × 150 + 150)

p = $650

Help!!! Photo is linked below.

Answers

28.8 degrees

tan-1 = 71/81

help will mark Brainliest ​

Answers

Answer:

A.

Step-by-step explanation:

16 multiplied by 2 is not 30

Hope this helps! ;-)

Answer:

a/top left

Step-by-step explanation:

16 x 2 is 32 not 30

4. The chart above shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number. Show your work.

Answers

The Cost of operating the theater if there are 100 people at a show is 20,000Rs.

The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.

In a theater, there will be 3 to 4 shows for a movie or a different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

What is the meaning of cost?

The average cost of a college education has gone up dramatically.

Consider a ticket cost of 200rs.

For 100 people in a show,

Cost = 200 × 100

Cost = 20,000.

Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.

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The most popular roller
coaster has room for 12
riders. They are colored
as below. Answer the
questions based on the
coaster train.
What’s the probability that a rider won’t ride in a red seat?

Answers

4/12 chance of dying

help me wiht ixl pls

Answers

Answer:

it's either 42 If you add all the sides, or 1769472 if you multiple

Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 57 pencils.
There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there
were no pencils left over, how many pencils did each student get?
A. 24
B. 95
C. 3
D. 15

Answers

Answer:

15 pencils

Step-by-step explanation:

5 pencils * 57 pencils is 285 total pencils

285 / 19 = 15

alternatively you can do 57/19 * 5, which is also 15

The Answer is 15 pencils ✏️

Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],

Answers

Answer:

[tex]x = - 4[/tex]

Step-by-step explanation:

[tex]4x - 2 = - 3 \times 2 + 3x[/tex]

Calculate the product:

[tex]4x - 2 = - 6 + 3x[/tex]

Rearrange the terms:

[tex]4x - 3x = - 6 + 2[/tex]

Combine like terms:

[tex]x = - 6 + 2[/tex]

Calculate:

[tex]x = - 4[/tex]

Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2

Hope this helps

Please answer, Thank you. Image below.
I need to find the missing angle, the letter represents the missing angle.

Answers

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

what is the measure of an angle if the hypotenuse is 13 and adjacent side is 12?

Answers

[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies cos^{-1}[cos(\theta)]=cos^{-1}\left( \cfrac{12}{13} \right) \\\\\\ \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o[/tex]

Make sure your calculator is in Degree mode.

a farmer is able to harvest 300 kg of potatoes in 5 hrs.how many kilos will 3 farmers harvest in 10hrs?

Answers

Answer:

1800 kg

Step-by-step explanation:

1 farmer is able to harvest 300 kg of potatoes in 5 hrs

Then

1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs

therefore,

3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs

You flip a coin and then roll a 6-sided number cube (a die).

a. When finding the probability, does it matter whether you roll the die or flip the coin first?

b. Is there more than one way to draw a tree diagram for this problem? If so, does that change the likelihood that any outcome will occur?

c. Draw the shape of the tree diagram that you would use.

d. How many outcomes are there? List them.

e. Find the probability of rolling an even number and getting heads.

Answers

Answer:

a)  No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.

b) Yes.

Let event 1 be flipping a coin and event 2 be rolling a die.Let event 1 be rolling a die and event 2 be flipping a coin.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d)   12 outcomes  (H = head, T = tail, numbers represent the value of the die)

H 1           T 1

H 2          T 2

H 3          T 3

H 4          T 4

H 5          T 5

H 6          T 6

e)  

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]

What Study Design method was used in the situation?
Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have
negative views of society. The professor has 200 participants and divides them into groups based on both race
and gender. The professor then selects names from each group and places them into either the study group or
control group. The participants placed in the study group are shown scary movies then asked a series of
questions about how they feel about different societal issues. The participants placed in the control group are
asked how they feel about different societal issues.

A) Simulation

B) Experiment

C) Observational Study

D) Questionnaire

Answers

Answer:

What Study Design method was used in the situation?

Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have

negative views of society. The professor has 200 participants and divides them into groups based on both race

and gender. The professor then selects names from each group and places them into either the study group or

control group. The participants placed in the study group are shown scary movies then asked a series of

questions about how they feel about different societal issues. The participants placed in the control group are

asked how they feel about different societal issues.

A) Simulation

B) Experiment

C) Observational Study

D) Questionnaire

Answer:

A is the answer just you the process of elimination

Question
Type of cookie
Cost per cookie,
in dollars
Chocolate chip
$0.73
Double chocolate
$0.82
Oatmeal raisin
$0.70
Sugar
X
Butter pecan
$0.86
The table above shows a bakery's cost per cookie for each of the five types of cookies the bakery sells. If
the mean cost per cookie is $0.73, what is the cost per cookie, in dollars, for a sugar cookie?
O $0.54
O $0.67
O $0.79
O $0.84

Answers

The correct answer is $0.54

The cost per cookie, in dollars, for a sugar cookie is A; $0.54.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

WE know that Chocolate chip = $0.73

Double chocolate = $0.82

Oatmeal raisin = $0.70

Sugar = X

Butter pecan = $0.86

We need to find the  cost per cookie, in dollars, for a sugar cookie.

So, Mean = $0.73

Mean = 0.73 + 0.82 + 0.70+ X + 0.86 / 5

0.73 (5) =0.73 + 0.82 + 0.70+ X + 0.86

x = 0.54

Therefore, The cost per cookie, in dollars, for a sugar cookie is A; $0.54.

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Find cot(theta) if tan(theta)=2 and 180°<(theta)<270°. ( 20 POINTS ) (Trigonometric Identities )

Answers

Answer:

Cot theta = 0.2

Step-by-step explanation:

[tex]180^\circ < \theta < 270^\circ[/tex]

So, theta is in the third quadrant

[tex]Cot \ \theta =\dfrac{1}{Tan \ \theta}\\[/tex]

         [tex]= \dfrac{1}{2}[/tex]

[tex]\sf Cot \ \theta = 0.5[/tex]

Draw the graph of the equation 2x - y = 10.​

Answers

Answer:

  see attached

Step-by-step explanation:

The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.

__

The x-intercept is the x-value when y = 0.

  2x -0 = 10

  x = 10/2 = 5 . . . . . . (5, 0) is a point on the line

__

The y-intercept is the y-value when x = 0.

  0 -y = 10

  y = -10 . . . . . . . (0, -10) is a point on the line

__

The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.

what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.​

Answers

Step-by-step explanation:

[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]

Given the figure below, find the values of x and z. z° 68° +14x84°

Answers

Answer:

z° = 68°

x = 2

Step-by-step explanation:

[tex](14x+84)^{0} =\frac{360-2(68)}{2} =112[/tex]

[tex]14x=112-84=28[/tex]

[tex]x=\frac{28}{14} =2[/tex]

Hope this helps

Find the value of cos I rounded to the nearest hundredth, if necessary.
18
K
J
30
24
I

Answers

Answer:

the value of cos is 26

k =14

j=30

Step-by-step explanation:

mark me as brainlist


Find the slope of the line 3x - y = 15

Answers

Answer:

3

Step-by-step explanation:

Rearrange in the slope-intercept form :

3x - y = 15y = 3x - 15

Comparing this to the standard equation :

y = mx + cm = slopec = y-intercept

On comparing, it is clear that the slope of the line is 3

What are some key features of sequence and series graphs?

Answers

Answer:

The key features that are unique to the graphs of sequences and series are that they are discrete.

Explanation:

That means that the graph is not a continuous line or curve that joins all the points. On the contrary, the graph is a set of separated dots, because the values are valid only for specific points.

NO LINKS!!!

Erica is playing Target One Fractions. She has these cards: 1,2,3,4,6.
a. Which three cards should she choose to make a whole number and a fraction that have a product close to 1?

b. Write an expression for the problem Erica will solve.

c. Solve the problem.

d. What is Erica's score for this round?

Answers

Answer:

  a.  2, 3, 6

  b.  a/b × c = 1

  c.  a = 2, b = 6, c = 3  or  a = 3, b = 6, c = 2

Step-by-step explanation:

Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.

__

a.

There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.

__

b.

If the three numbers are represented by a, b, c, Erica wants ...

  a/b × c = 1

__

c.

Multiplying the equation by b gives ...

  ac = b

Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...

  a = 2, b = 6, c = 3   ⇒   (2/6)×3 = 1

  a = 3, b = 6, c = 2   ⇒   (3/6)×2 = 1

__

d.

No scoring information is provided.

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

C

Step-by-step explanation:

All triangles come up to a 180 degrees so you can add and then subtract

How do I solve this with a fraction?

Answers

Answer:

75°

Step-by-step explanation:

x° and (x/5)° are complementary angles.

-> x° + (x/5)° = 90°

-> (6x/5)° = 90°

-> x° = 90° * 5/6

-> x° = 75°

Answer:

x = 90

Step-by-step explanation:

[tex]m\angle 1+m\angle 2=90[/tex]

[tex]\Longleftrightarrow x+\frac{x}{5} =90[/tex]

[tex]\Longleftrightarrow \frac{6x}{5} =90[/tex]

[tex]\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75[/tex]

Can someone pls help me ! 20 points !

Answers

Answer:

60/13

Step-by-step explanation:

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