27) A magician has a bag of colored scarves for a magic trick that he performs. The bag contains 3

blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. If the magician removes scarves at

random and the first scarf he removes is red, what is the probability that the next scarf will be orange?

28) A card is drawn at random from a deck of cards. Find the probability of getting the ace of spades.

29) A card is drawn at random from a deck of cards. Find the probability of getting a king, queen, or

jack.

Answers

Answer 1

a. The probability that the next scarf will be orange will be 1/5.

b. The probability of getting the ace or spades will be 17/52.

c. The probability of getting a king, queen, or jack will be 3/14.

How to calculate the probability?

a. The bag contains 3 blue scarves, 1 red scarf, 5 green scarves, and 2 orange scarves. The probability that the second scarf will be orange will be:

= 2/(3 + 5 + 2)

= 2/10

= 1/5

B. When a card is drawn at random from a deck of cards, the probability of getting the ace or spades will be:

Total number of cards withe the ace = 52

Total number of ace = 4

Number of spade = 13

The probability will be:

= 4/52 + 13/52

= 17/52

C. The probability of getting a king, queen, or

jack will be:.

= 4/52 + 4/52 + 4/52

= 12/52

= 3/14

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Related Questions

X-y/m= x

Solve for y

Answers

Answer:

y = mX - mx

Step-by-step explanation:

X - (y/m) = x

Multiply everything by m

(m)X - (y/m)(m) = x(m)

mX - y = mx

-mX        -mX

-y = mx - mX

Divide both sides by -1

-y = mx - mX

÷ -1       ÷ -1

y = -mx + mX

or

y = mX - mx

I hope this helps!

The number 27.6 is what percent of 69?

The number 27.6 is ____% of 69.

(Round to the nearest whole number, if necessary.)

Answers

Answer:

27.6​ is 40%​ of 69.

Step-by-step explanation:

Beau lifts weights at his local gym on a regular basis. When he started working out, he weighed 127 pounds. Beau kept track of his weight and found that he gained 2 pounds every month. If Beau’s goal is to weigh at least 155 pounds after working out for m months in a row, which inequality best represents this situation?

Answers

Answer: it would take 19 months to get to 155

Step-by-step explanation:

If Beau weighed two more each month and wanted to get to 155 then you count by two's and see that it would take 19 months to weight 155

If that was the question, I hope this helps

if that was not the question, I am sorry and will try to help more.

Find the derivative:
y=(1+cosx)/(1+sinx)

I NEED STEPS

Answers

[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]

A computer programmer receives a weekly wage of $1350, and &229.50 is deducted for income tax. Find the percent of the computer programmer’s salary deducted for income tax.

Answers

The percent of the computer programmer’s salary deducted for income tax is 17%.

What is percentage of a number?

A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."

Given, weekly wage is $1350 and deduction amount for income tax is $229.50.

The percent of deduction is

[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]

Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.

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Solve for the percentage in the problem. Round to the nearest tenth of a percent.

$953 is _____% of $1717
Select one:
O a. 0.6
O b. 0.1
O c. 180.2
O d. 55.5

Answers

O D. 55.5 and I was right

URGENT but please only answer if you are xHaleyx OR beinggreat78

this means if you are not one of the two, do NOT answer because I simply don't trust the rest of you to answer correctly since you answer for the points most of the time

Answers

Answer:

0.0314

Step-by-step explanation:

[tex]a^{-b}=\frac{1}{a^b}\\3.14\cdot \frac{1}{10^2}\\a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\\frac{1\cdot \:3.14}{10^2}\\1\cdot \:3.14=3.14\\\frac{3.14}{10^2}\\10^2=100\\\frac{3.14}{100}\\\frac{3.14}{100}\\= 0.0314[/tex]

All work and answer is provided in the attached screenshot! :)

Please answer this correctly my grade depends on it, also i have other questions like this so feel free to answer them.

Answers

The domain and range of of the graph in interval notation are [-4,3) and (-5,5).

Domain and range of a graph.

The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.

The given graph is a piecewise function since there are several lines that make up the graph.

Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.

Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).

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525 less than c gives 699. translate to algebraic equation and Solve the translated sentence.​

Answers

I believe the answer is 1224. C=1224
C-525=699 so 699+525=1224.
I hope this helps :)

PLEASE HELP MEEEE ILL MARK AS BRAINLIEST

For which table would 70 be the missing value, x?

Answers

Answer:

Table 3 5 (5× 14=70)

If D is the midpoint of CE¯¯¯¯¯¯¯¯, CD = x + 7, and CE = 5x - 1, determine each missing value.
x=
CD=
CE=
DE=

Answers

Answer:

5; 12; 24; 12.

Step-by-step explanation:

1) if D is midpoint, then 2*CD=CE, it means

2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;

3) CD=x+7; ⇒ CD=12;

CE=5x-1; ⇒ CE=24;

DE=CD; ⇒ DE=12.

1) Six decreased by five times a number is thirty-one.

2) The product of five and a number increased by seven is twenty-seven.​

Answers

Answer:

[tex]6 - (5 \times x) = 31[/tex][tex]5 \times x + 7 = 27[/tex]

The dress store sells sweatshirts ($8) and swimsuits ($12)

Answers

Answer: 20

Step-by-step explanation:

because 8+12=20

newaye is making a salt solution. the instructions ask for 0.07 kilograms of salt to be added to every liter of water. how much salt should he use if he wants to make a solution with 0.5 liter of water

Answers

Answer:

0.035 kg

Step-by-step explanation:

(0.07 kg / 1 litre) x (0.5 litre)

= 0.035 kg

Notice how the units of litres cancel and all you are left with is units of kg which is what we want. Another way of solving this problem is via logic. If 1 litre of water is needed for 0.07 kg salt, then half a litre of water (0.5) would need half of the amount needed by 1 litre water so (0.07/2) = 0.035 kg

A water hose cost 3.60 per meter. Sam buys a 4.5 m long hose. how much does sam pay?

Answers

Step-by-step explanation:

for 1m=3.60

for 4.5m

4.5(3.60)=16.30

16.40 is the cost!!!!

Find the five number summary for Q3

Answers

It’s 6 or maybe it’s 5

What are these answers?

Answers

Answer:

1: 60 2: 45

Step-by-step explanation:

60, 90, 30 triangle

45 45 90 triangle

HELP PLEEAAASE!!!
Use the digits 1 to 9 only once to create an equation where x has the greatest possible value. __+ x =__

Answers

Answer:

Easy. 1+x=9 sounds like the highest factor for x

M(- 4, 8) is the midpoint of DE. D has coordinates ( 6, 1 ). Find the coordinates of E.
I need help pls

Answers

Answer: 16, -1

Step-by-step explanation:

since the x is +10 more than d and the y is -7 less than d, you just add another +10 and -7 to get your next point

The frequency distribution shown is constructed incorrectly.
Class
27-30
31-34
35-38
39-42
43-45
Frequency
5
3
4
8
6
Select all applicable mistakes in the frequency distribution.

Answers

The required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.

Given  that,
To determine the mistakes in the frequency distribution.

What is Statistic?

Statistic is the study of mathematics that deals with relations between comprehensive data.


Table =>
Class             Frequency      

27-30               5

31-34                3

35-38               4

39-42               8

43-45               6

Here,
Since the class interval is of 3
But in the last class, the interval is of 2

Thus, the required mistake in the frequency distribution is the class interval 43 - 45 is of 2 it should be of 43 - 48.


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A two-liter bottle contains 53.1 centiliters of oil and 7.9 deciliters of water. How much more liquid is needed to fill the bottle?

Answers

Answer: 0.679 liters

Step-by-step explanation:

A centiliter is a measure of volume equal to one hundredth of a liter

Hence,

53,1*0.01=

0.531 liters

A deciliter is a measure of volume equal to one tenth of a liter

Hence,

7.9*0.1=

0.79 liters

0.531+0.79=

1.321 liters

2-1.321=

0.679 liters

Which of the following groups of words are listed in alphabetical order?

A) tank, target, tap, tangerine

B) peak, pearl, peanut, peasant

C) light, lock, locust, lottery

Answers

The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.

What is alphabetical order?

It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.

In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.

Therefore, the correct option is B.

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Gillian earns $7.50 an hour babysitting on the weekends. Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday. How much did Gillian earn?
Group of answer choices

Answers

Gillian earned  $42.75 last week.

Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.

...

There are 7 arithmetic operators in Python :

Addition.

Subtraction.

Multiplication.

Division.

Modulus.

Exponentiation.

Floor division.

Gillian work

2.2 hours+3.5 hours= 5.7 hours

5.7 hours× $7.50 =  $42.75

Therefore Gillian earned $42.75

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What is the slope of the line y=x+4?
O A.
1112
OB.
OC. 4
OD. -4

Answers

Slope is 1/2
Because y = mx + b
The fraction next to the variable x is the slope, m.

angle POR and angle ROQ from linear pair . If a-b=
[tex] {80}^{0} [/tex]
find the value a and b .

Answers

Answer:

a = 130

b = 50

Explanation:

Analyze that the angles a and b lies on a straight line summing up to 180°.

Equation's:

a + b = 180 ____eq 1a - b = 80 ____eq 2

make 'a' subject in eq 1

a + b = 180

a = 180 - b

substitute this into eq 2

a - b = 80

(180 - b) - b = 80

180 - 2b = 80

-2b = 80 - 180

-2b = -100

b = 50

Find value of 'a':

a = 180 - b

a = 180 - 50

a = 130

Answer:

a = 130°, b = 50°

Step-by-step explanation:

The given equation is,

→ a - b = 80°

→ a + b = 180°

The equation we form is,

→ (a + b) + (a - b) = 180 + 80

Now the required value of a will be,

→ (a + b) + (a - b) = 180 + 80

→ (a + a) + (b - b) = 260

→ 2a = 260

→ a = 260/2

→ [ a = 130° ]

Hence, the value of a is 130°.

Then the required value of b will be,

→ a + b = 180

→ 130 + b = 180

→ b = 180 - 130

→ [ b = 50° ]

Hence, the value of b is 50°.

find the number of stamps measured 3cm × 4cm needed to fill the square card with a side of 12cm​

Answers

Answer:

Breadth of stamp=3 cm

Length of stamp=4 cm

Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2

Side of square card = 12 cm

Area of card = Area of square = side^2 = 12^2 = 144 cm^2

No. of stamps that can be filled in card

= Area of card / Area of stamp

= 144/12

= 12

:. 12 stamps can be filled in a card of side 12 cm.

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2; shift 6 units to the left and reflect in the x-axis

Answers

Answer:

[tex]y=-(x+6)^2[/tex]

Step-by-step explanation:

Shifting 6 units left, we get:

[tex]x^2 \longrightarrow (x+6)^2[/tex]

Reflecting over the y-axis. we get:

[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]

So, the final equation is

[tex]y=-(x+6)^2[/tex]

11h-5(h+3)=-63 find they value of h

Answers

Answer:

h = -13

Step-by-step explanation:

Use PEMDAS to solve this problem.

11h - 5(h + 3) = -63

~Use distributive property to simplify [ a(b + c) = ab + ac ]

11h - 5h + 15 = -63

~Combine like terms

6h + 15 = -63

~Subtract 15 to both sides

6h = -78

~Divide 6 to both sides

h = -13

Best of Luck!

Answer:

Step-by-step explanation:

11h - 5(h + 3) = -63

-Multiply parenthesis so

-5(h) + -5(3) = -5h - 15

New equation: 11h - 5h - 15= -63

                                   +15  +15

(add 15 to both sides)

[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]

h = -8

What is (3.3 x 107) (5.2 x 108) in scientific notation?
OA 17. 16x 1015
A.
OB. 1.716x 1016
OC. 17.16x 1056
OD. 1.716x 1057

Answers

Step-by-step explanation: I hope this helps.

Answer: The answer is B.

Suppose that E and F are points on the number line.
If EF=15 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.

Answers

When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

We are given that:

E and f are the points on a number line.

We are also given that the distance between E and F is:

EF = 15 units

Now, we know that E lies at 4

E = 4

We need to find the location of the point F

Now, since we also know that:

EF = F ± E

Substituting the values:

15 = F ± 4

We get that:

15 = F + 4   or   15 = F - 4

F = 15 - 4    or   F = 15 + 4

F = 11           or   F = 19

Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.

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