What is the probability that 2 randomly selected months have 31 days?

Answers

Answer 1

Answer:

31.8%

Step-by-step explanation:There are 7 months that have 31 days so,

The odds the first selected month has 31 days is 7/12

The next month there are only 6 months left with 31 days of only 11 months to choose from

so the odds for the second are 6/11

To calculate the odds they BOTH  have 31 months you multiply the two odds:

(7/12) x (6/11) = 42/132 = .318 so 31.8%

Answer 2

The required probability is 0.318 or 31.8% (in the form of a percentage) that 2 randomly selected months have 31 days.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 7 months with 31 days, therefore

The probability that the first picked month has 31 days is 7/12.

There are just 6 months left with 31 days of only 11 months to choose from the following month.

As a result, the odds for the second are 6/11.

To determine the probabilities that they both have 31 months, multiply the two odds:

⇒ (7/12) × (6/11)

⇒  42/132

Apply the division operation,

⇒  0.318

⇒  31.8% in the form of a percentage

Thus, the required probability is 0.318 or 31.8% that 2 randomly selected months have 31 days.

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Related Questions

The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?

Answers

Answer:

B represents area of the right triangle

Step-by-step explanation:

Given;

Area of a triangle is A = 0.5bh

where;

b is the base of the triangle

h is the height of the triangle

Given, formula for the volume of a prism is V = Bh

For a right triangle prism, the formula for the volume is, V = Bh

Where;

B is the area of the right triangle

h is the height of the prism

Therefore, B represents area of the right triangle

20. John went school shopping for his son at the mall. A pair of jeans cost $24.99 and Jordan's
cost $120. If John bought his son 3 pair of jeans and 2 pair of Jordans, how much did he spend?

Answers

Answer:

314.97

Step-by-step explanation:

Scientists often use the catch, band, and release method to estimate the size of wildlife populations. For example, 250 trout were caught, banded, and released into a small lake in Northern Ontario. One month later, another 250 trout were caught in the lake, 30 of them had bands. From this information scientists could estimate the size of the trout population of the lake. What is the expected population of trout? How do you know?

Answers

Answer:

2083.33 trouts

Step-by-step explanation:

Total population of fish in the pond is unknown, therefore, let's us represent this using letter Z

The ratio of banded , caught and released trout to the total trout population is represented as 250 : Z

We can solve this type of problem with a proportion:

Total number of fishes that was tagged and caught/ Total number of fishes that was caught = Total number of tagged fishes in the pond/ Total number of fishes in the pond.

In the question, we were given this values:

Total number of banded trout's that was caught and released into the pond = 250

Total number of trouts that was caught and had bands in the lake= 30

Total number of trouts that was caught in the lake = 250

Total number of fishes in the pond = Z

Hence we have:

30/250 = 250/ Z

We cross mulitply

30× Z = 250 × 250

30Z = 62500

We divide both sides by 30

30Z/ 30 = 62500/30

Z = 2083.33

Therefore, the expected population of trout is 2083.33 trouts

Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?

Answers

Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy

Answers

Answer:

The answer is sandy

Step-by-step explanation:

18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon

hope this helped <3

A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3

Answers

Answer:

125.6 cubic meters

Step-by-step explanation:

To calculate the volume of the cylinder, we will do it as follows:

Vc = Base area * Height

We know that the base of the cylinder is a circle, therefore:

Base area: pi * r ^ 2

replacing we have:

Vc = pi * (r ^ 2) * h

We have r = 2 and h = 10, we replace:

Vc = pi * (2 ^ 2) * 10

Vc = 40 * pi

pi = 3.14

Vc = 40 * 3.14

Vc = 125.6

Which means that the volume of the cylinder is 125.6 cubic meters

Answer:

It is 40

Step-by-step explanation:

I filled it in the blank and I got it correct edge 2020!

hope this helps :)

5.345345... can be expressed as (fraction form)

Answers

Answer:

5.(345)=1,780/333

Step-by-step explanation:

5.(345)=(5,345-5)/999=5,340/999=1,780/333

The fraction corresponds to given decimal is 1780/333.

What is fraction form?

A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

What will be the fraction for the given decimal number?

Let x=5.345

The repeating number is 345

Multiply both sides by 1000

1000x=5345.345

Subtract x=5.345 from the obtained equation,

999x=5340

Solve for x,

x=5340/999

x=1780/333

Therefore, the fraction corresponds to given decimal is 1780/333.

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Please help me it’s really important for me

Answers

Answer:

1. B

2. A

3. B

4. ???

5. A

6 ???

7. I can't see it

Step-by-step explanation:

When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.

Answers

Multiplying a negative number by a negative number will give you a positive product.

When multiplying two negative integers, it comes out as positive.

For example, we are given the equation -4 * -4.

Using the rule [ -(-a) = a ], the answer for the equation is 16.

Best of Luck!

Last week norachi ran 40 miles less than trevon. Norachi ran 9 miles. How many miles did trevon run?

Answers

Answer:

trevon ran 49 miles

Step-by-step explanation:

9+40=49

Answer:

49 miles

Step-by-step explanation:

Norachi ran 40 miles less than Trevon.

So, Trevon ran 40 miles more than Norachi

Distance covered by Trevon = 40 +9 = 49 miles

Can someone give me three possible solutions?

Answers

X= 1 2 3 that will be the possible solution

A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice

Answers

Answer:

The percentage of the surveyed that preferred Lirt juice is 40%

Step-by-step explanation:

In this question, we are asked to calculate the percentage of beings that preferred Lirt juice

Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25

The percentage that preferred Lirt juice will thus be;

10/25 * 100%

= 10 * 4 = 40%

2$ is what percent of $10

Answers

Answer:

20 %

Step-by-step explanation:

$10/100%    $2/?

10/ what to get 2 so you do 10/5=2 so 100/5= 20.

6.8x+9.3=-9.4+3.4(2-5x)

Answers

Answer:

x = -2.67

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4(-3x)

6.8x + 10.2x = -9.4 - 9.3

17x = -18.7

x = -2.67

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

A

Step-by-step explanation:

The rule for negative exponents is:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

We have:

[tex]5^{-2}[/tex]

So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:

[tex]\frac{1}{5^2}[/tex]

Evaluate the exponent in the denominator

[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]

Therefore, choice A, 1/25 is correct.

Someone please help me.

Answers

Answer:

D

Step-by-step explanation:

-4 x 3/2 = -12/2; which equals -6

so -6x.

-4 x -1/2 = 4/2; which equals 2

This means that:

-6x + 2 = 15; so 'D' is the answer

Answer:

D

Step-by-step explanation:

The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.

I need to know this quick

Answers

Answer:

1) 943.895 mm3

2) 144 cm3

Step-by-step explanation:

1)

First we need to find the volume of the rectangular prism:

Volume_1 = 9 * 11 * 6 = 594 mm3

Then, we can find the volume of the half cylinder above the prism:

Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3

So the volume of the figure is the sum of both volumes:

Volume_total = Volume_1 + Volume_2 = 943.895 mm3

2)

The volume of a pyramid is one third of the base area multiplied by the height, so we have:

Volume = (1/3) * 6 * 8 * 9 = 144 cm3

Answer:

1. Volume of the composite figure is 943.89 mm³

2. The volume, of the is 144 cm³

Step-by-step explanation:

1. The composite figure comprises of a cube and a half cylinder;

Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³

Volume of the half cylinder = area of base × length = (π·r²)/2 × l

Where:

r = (Diameter of base)/2 = 9/2 = 4.5 mm

l = 11 mm

Therefore, plugging the values, gives;

Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³

Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder

Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³

2. The volume, V of a pyramid is given by the following relation;

[tex]V = \frac{l \times w \times h}{3}[/tex]

Where:

l = Length of base = 8 cm

w = Width of the base = 6 cm

h = Height of the pyramid = 9 cm

[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]

Here we have that a cube of side x, therefore, the area = x·x, integrating we have;

[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]

Where:

Length, height width of the pyramid = x

It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .

how many times does 6 go into 29

Answers

Answer:

4 times

Step-by-step explanation:

Answer:

4.8333333 or 4 5/6 times

Step-by-step explanation:

29/6 = 4.83333333

Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain​

Answers

Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.

I hope this is helpful.

Answer:

B

Step-by-step explanation:

Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?

Answers

Answer:

11 cm

Step-by-step explanation:

The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.

To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:

66 / 6 = 11 cm

The length of one side of the model is 11 cm.

Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first

Answers

Answer:

The initial amount of money Tyra has is $90

Step-by-step explanation:

Let the initial money Tyra has be equal to y

She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y

She spent ¹/₂ of the remainder on sandwiches;

the remainder = 1 -  ⁴/₅  = ¹/₅

¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀

Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y

Amount she spent on sandwiches = $9 = ¹/₁₀ of y

[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]

Therefore, the initial amount of moneyTyra has is $90

The slope field shown below is for the differential equation

y ' = 2x
y ' = 4 - 2x
y ' = y
y ' = x + y

Thank you in advance!

Answers

Answer:

y' = y

Step-by-step explanation:

The slopes are independent of x.  So the only possible answer is y' = y.

Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction

Answers

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]

Therefore, 17 is added to both numerator and denominator.

1. What Asian country's flag has the MOST colors? *
India
Thailand
Japan
China
2 Which Asian cu

Answers

I think it could be china but I’m not sure cause there all mostly the same amount

Answer:

Thailand answered the question already

Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams

Answers

Answer:

The answer is 66 ways .

Step-by-step explanation:

You have to use Combination because it says choosing 10 out of 12 as the position is not important :

12C10 = 66 ways of arrangements

The number of different 10-person teams are 66.

What is Combination?

A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.

We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.

Using Combination

C(n, r) = n!/ r! (n- r)!

Here n = 12, r= 10

So, C(12, 10)= 12! / 10! (12- 10)!

                   = 12 x 11 x 10! / 10! x 2

                   = 6 x 11

                   = 66

There are 66 10-person teams.

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what is the answer to
0.75x-0.5=x+1.5

Answers

Answer:

The result for the equation is [tex]x = -8[/tex] .

Step-by-step explanation:

-Solve the equation:

[tex]0.75x -0.5 =x +1.5[/tex]

-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :

[tex]0.75x -0.5-x =x -x+1.5[/tex]

[tex]-0.25x -0.5 = 1.5[/tex]

-Add both sides by 0.5 :

[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]

[tex]-0.25x = 2[/tex]

-Divide both sides by 0.25 :

[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]

[tex]x = -8[/tex]

So, the answer for the equation is [tex]x = -8[/tex] .

If 2.6( d +1.4 )- 2.3d= 4,what is d?

Answers

Answer:

1.2 units

Step-by-step explanation:

2.6(d + 1.4) - 2.3d = 4

2.6d + 3.64 - 2.3d = 4

0.3d + 3.64 = 4

0.3d = 0.36

d = 1.2

Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

Answers

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

Solve using substitution please help!!

Answers

I hope this helps you

Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.

Answers

The quadratic has one root with multiplicity 2 if the discriminant is 0, which is

[tex](2m+4)^2-4(4-m)(8m+1)[/tex]

(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)

Set the discriminant equal to 0 and solve for [tex]m[/tex]:

[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]

[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]

[tex]36m^2-108=0[/tex]

[tex]36m(m-3)=0[/tex]

[tex]\implies m=0\text{ or }m=3[/tex]

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560=5___tens =_____tens =______ Unscramble the following 5 names the signed the Declaration of Independence:jhon madsanijamneb likarnfnlumsae saadmhonj cakocnhsamotht serffjone Which is the solution to2x y = 14x + y = 11 ?A) (2, 3)B) (2, 3)C) (3, 2)D) (3, 2) .As a result of the conflict between the United States and Soviet Union over missiles in Cuba, this was established to effectively communicate in the futureA An American-Soviet council at the United NationsB A Hotline phoneC Increased number of ambassadors for both countriesD Development of text messaging between the leader of the two countries PLEASEE HELPPP MEEEE!!!!!!!!!! WITH MY QUESTIONNNNNNNN!!!!As a young girl how did Lucy Larcom feel about working in the mill? OPTIONSA= She would have rather have been in school.B= She thought the work was too hard.C= She hated working such long hours.D= She had a positive attitude. Paragraph 17: Doctor Dace,who could never be countedon to behave like a father in abook, shrugged his shouldersimpatiently Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile Why was Mero a key city to the Kingdom of Kush? What are the three cues to remember for dribbling with mature form in basketball? HELP PLEASEThe volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft Use 3.14 and round your answer to the nearest hundredth How do normal faults differ from reverse faults? Kevin goes to the grocery store and buys a box of cereal, a family size box of cereal, a candy bar, and a king sized candy bar. He notices that the family sized box of cereal is twice as big as the regular box of cereal and the king size candy bar is twice as big as the regular candy bar. Kevin believes that because the family sized box of cereal and king sized candy bar are twice the size that the volume is also twice the size. Is Kevin correct in his thinking? Assess the impact of the Columbian Exchange on three separate continents (Europe, Africa, and the Americas). Each continent should be covered in a separate paragraph. There should be no introductory or concluding paragraphs. Read the excerpt from "Harrison Bergeron."You been crying? he said to Hazel. Yup, she said.What about? he said.I forget, she said. Something real sad on television.What was it? he said.Its all kind of mixed up in my mind, said Hazel.Forget sad things, said George.I always do, said Hazel.How does this interaction between George and Hazel develop Kurt Vonneguts social criticism? It demonstrates potential problems that occur in a competitive relationship.It illustrates the need for maintaining equality in a society.It suggests that women are more emotional than men.It shows how technology can dehumanize and desensitize people. A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32 Select three potential disadvantages that apply to using online video and audio for business.e need for special equipmenttechnical difficultiesw travel requirementskun limited range distributionun necessity of digital literacyhigh cost What is the natural pacemaker of the heart where the cardiac electricalimpulse begins? Which expression is equivalent to x^4 ? What is the exponential form of log4 16 = 2? 16x^4y^2(9x^3y^4) fully simply