HURRY Suppose that 15% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Give your answer as a decimal (to at least 3 places) or fraction

Answer:

3 ounces of water

Step-by-step explanation:

Ratios are equivalent:

6:4 is equivalent to 3:2

Answer:

24 1/8 teaspoons should be equal to 4 3/4 teaspoons.

Step-by-step explanation:

We let t be the number of 1/8 teaspoons

\( \frac{1}{8} t = 4 \times \frac{3}{4} \\ \)

The equation above just means if I have t 1/8 teaspoons is equal to 4 3/4 teaspoons

\( \frac{1}{8} t = 4 \times \frac{3}{4} \\ \frac{1}{8} t = 3 \\ t = 24\)

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

Length: meter

Mass: Kilogram

Volume of a solid: Cubic meter

Volume of a liquid: Liters

Temperature: Degree Celsius

Time: second

The formula for calculating density:

\(p = \frac{m}{v} \)

Answer:

Look below! Have a wonderful day! Happy Holidays! :) Hope I helped!

I believe the formula of calculating Density is

p = m/v

Length is Meter

Mass is Kilogram

Volume of a Solid is Cubic Meter

Vloume of a Liquid is Liters

Temperature Degree Celsius

Time is Second

Answer:

64

Step-by-step explanation:

divide 2048 by 2 since half is already used gives you 1024 ...then divide 1024 by 16 to get 64..

Explanation,

To solve the question, we will have the sketch

Since the ramp is 3.5m in length

Then

AB = FB = 3.5m

Our task will be to get FA

To do so, we will have to get AC and FC

so that

FA = FC - AC

Thus, we will have to get AC first

Next, we will get FC

Therefore

Therefore, the ramp will need to extend 0.199m further

Answer:

72

Step-by-step explanation:

4+6+6+2=18

and u added 4 numbers so 18×4=72

Answer:

A. 9boys to 6girls

Step-by-step explanation:

If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.

3:2

9:?

Divide 9/3=3

So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys

2*3=6

6 girls when there are 9 boys

This problem can be modeled as a binomial distribution with n = 10 trials and p = 0.43 probability of success (very little confidence in newspapers).

(a) The probability of exactly 5 U.S. adults having very little confidence in newspapers is 0.161.

To find the probability of exactly 5 U.S. adults having very little confidence in newspapers, we use the binomial probability formula:

P(X = 5) = (10 choose 5) * \((0.43)^{5}\) * \((1-0.43)^{5}\) = 0.161

So the probability of exactly 5 U.S. adults having very little confidence in newspapers is 0.161.

(b) The probability of at least 6 U.S. adults having very little confidence in newspapers is 1 - P(X < 6) = 0.123.

To find the probability of at least 6 U.S. adults having very little confidence in newspapers, we can use the complement rule and calculate the probability of having 0 to 5 U.S. adults with very little confidence in newspapers:

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each value of X, we get:

P(X < 6) = 0.002 + 0.016 + 0.064 + 0.161 + 0.288 + 0.346 = 0.877

So the probability of at least 6 U.S. adults having very little confidence in newspapers is 1 - P(X < 6) = 0.123.

(c) To find the probability of less than 4 U.S. adults having very little confidence in newspapers is 0.243.

we can use the binomial probability formula again:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula for each value of X, we get:

P(X < 4) = 0.002 + 0.016 + 0.064 + 0.161 = 0.243

So the probability of less than 4 U.S. adults having very little confidence in newspapers is 0.243.

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Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. \(Initial = 244\)

2. \(b = 244 + 52h\)

3. 660 boxes

Step-by-step explanation:

Given

\(Rate = 52\ per\ hour\)

\(Total\ boxes\ in\ 3\ hours = 400\)

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

\(Boxes = Rate * Hours\)

\(Boxes = 52 * 3\)

\(Boxes = 156\)

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

\(Initial = 400 - 156\)

\(Initial = 244\)

Solving (b): Linear function

\(b = boxes\)

\(h = hours\)

Since, we have the rate and the initial number of boxes.

The linear function is:

\(Boxes = Initial + Rate * Hours\)

i.e.

\(b = 244 + 52 * h\)

\(b = 244 + 52h\)

Solving (c): Boxes at the end of the 8th hour

We have:

\(b = 244 + 52h\)

In this case:

\(h = 8\)

Substitute 8 for h

\(b = 244 + 52 * 8\)

\(b = 244 + 416\)

\(b = 660\)

Hence, there are 660 boxes at the end of the 8th hour

Answer:

the first choice

Step-by-step explanation:

she gets 13 more $ so x would have to be the brothers amout

Step-by-step explanation:

\(y = 3x + 10......eq3 \\ 2(3x + 10) = 6x + 20 \\ 6x + 20 = 6x + 20\)

you can see that coming across that complication where the eqaution is balanced there is no solution for x and y fir those systems of equations.

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Answer:

a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) 0.0035 = 0.35% probability of passing.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

10 multiple choice questions

This means that \(n = 10\)

4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.

This means that \(p = \frac{1}{4} = 0.25\)

a) Probability of marking exactly 3 incorrect answers.

3 incorrectly = 7 correctly, so this is P(X = 7).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031\)

0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) Probability of passing

At least 7 correct, so

\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031\)

\(P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004\)

\(P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0\)

\(P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0\)

\(P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035\)

0.0035 = 0.35% probability of passing.

Answer:

45

Step-by-step explanation:

\(_{10} C_{2}\) = (10!) ÷(8!) (10-8)!

(10 × 9)÷2 = 45

Answer: 100

Step-by-step explanation:

10 people

2 chairs 1 chair 1 vice chair

10*10=100 different combinations

Answer:A cone is a 3-dimensional solid object that has a circular base and a single vertex

Step-by-step explanation:

dolphinsproduction on insta

Answer:

A cone have a point a the top with a round end which is a circle at the bottom.

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Hi there & welcome to brainly !

Answer:

\( \huge{ \bold{ \boxed{ \tt{1.4}}}}\)

Step-by-step explanation:

\( \text{Given : f \: = \: 12 \: g = 2}\)

\( \text{To \: find : Value \: of \: given \: expression}\)

\( \text{Let's \: start}\) :

\( \text{0.5f \: - 2.3g}\)

Here, The values of f and g are 12 and 2 respectively. Plug the given values :

↦ \( \text{0.5 ∗ \: 12 - 2.3 ∗ 2}\)

Multiply : 0.5 and 12

↦ \( \text{6 - 2.3 \: ∗ \: 2}\)

Multiply : 2.3 and 2

↦ \( \text{6 - 4.6}\)

Subtract 4.6 from 6

↦ \( \text{ \boxed{1.4}}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

The solution of the given expression will be; 1.4

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that  0.5f - 2.3g where f = 12 and g = 2

Now substitute 12 in for f and 2 in for g and solve;

0.5(12)  -2.3(2)

6 - 4.6

=1.4

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The complete question is;

Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2

the given expression is,

-02 (x - 20 ) = 44 - x

can you check the expression whether it is correct or not?

-02x + 40 = 44 - x

2x - x = 40 - 44

x = -4

thus, the answer is x = -4

Answer:

17000

Step-by-step explanation:

we can use the equation I=PRT

I=10,000(10)(0.07)

I=100,000(0.07)

i=7000

7000+ the initial 10,000=17000

Answer:

Step-by-step explanation:

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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The surface area of the cylinder has a radius of 9.4cm and a height of 18.6 cm is 1098.56 square centimeters.

The surface area of this cylinder is defined as the product of the radius of the base and the height of the cylinder.

The surface area of this cylinder = (2π x r)h

We have given a radius of the base is 9.4 cm and the height of the cylinder is 18.6 cm.

The surface area of this cylinder = (2π x r)h

= (2π x 9.4)18.6

= (59.06)18.6

= 1098.56

Thus, The surface area of the cylinder has a radius of 9.4cm and a height of 18.6 cm is 1098.56 square centimeters.

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Answer:

15.40 ounces to 16.90 ounces.

Step-by-step explanation:

The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.

The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).

The equatiοn is given belοw.

x² + 16x = 22

Add bοth side 64.

x² + 16x + 64 = 22 + 64

        (x + 8)² = 86

Then the cοrrect οptiοn is A.

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Complete question:

Which equation is equivalent to the given equation? x² + 16x = 22

a. (x+8)² = 86

b. (x+8)² = 38

c. (x+16)² = 278

d. (x+4)² = 22

Answer:

26 mi

Step-by-step explanation:

Convert 20 min to hrs: 20/60 = 1/3 hr

:

Let t = time on the bike

then

t-(1/3) = time on the bus

:

Write a dist equation Dist = speed * time:

:

Bike dist + bus dist = 26 mi

6t + 30[t-(1/3)] = 26

:

6t + 30t - 10 = 26

36t = 26 + 10

36t = 36

t = 1 hr on the bike

:

6 mph for 1 h = 6 mi from house to the bus station

:

:

Check solution by finding the distance

6(1) + 30(2/3) =

6 + 20 = 26 mi

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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