If a:b=b:3=3 then find the value of a.​

Answer:

Division property of equality

Step-by-step explanation:

Answer:

I hope this picture helps tho!!

Answer:

Hexagon

Step-by-step explanation: Count the sides, hex means 6, sept means 7, oct means 8

Answer:

y=16/15x-11/3

Step-by-step explanation:

(9--7)/(5--10)

slope = 16/15

y=16/15(x)+b

-9=(16/15)(-5)+b

b=-11/3

The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Answer:

1. 9x-18

2. i think its c

sorry if im wrong

3. a

Step-by-step explanation:

Answer:

23 ft

Step-by-step explanation:

Perimeter = 4 × side

92 = 4 × Side

92/4 = Side

23 = Side

Answer:

7,3,19,5              SECOND              1,2,3,4

Step-by-step explanation:

answer on edg.

Answer:

The price that maximizes the revenue is $165

Step-by-step explanation:

We can model the price as a function of sold units as a linear relationship.

Remember that a linear relationship is something like:

y = a*x + b

where a is the slope and b is the y-intercept.

We know that if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

For this line, we have the point (40, $110)

which means that to sell 40 units, the price must be $110

And we know that if the price increases by $11, then he will sell 2 units less.

Then we also have the point (38, $121)

So we know that our line passes through the points (40, $110) and  (38, $121)

Then the slope of the line is:

a = ($121 - $110)/(38 - 40) = $11/-2 = -$5.5

Then the equation of the line is:

p(x) = -$5.5*x + b

to find the value of b, we can use the point (40, $110)

This means that when x = 40, the price is $110

then:

p(40) = $110 = -$5.5*40 + b

            $110 = -$220 + b

       $110 + $220 = b

        $330 = b

Then the price equation is:

p(x) = -$5.5*x + $330

Now we want to find the maximum revenue.

The revenue for selling x items, each at the price p(x), is:

revenue = x*p(x)

replacing the p(x) by the equation we get:

revenue = x*(-$5.5*x + $330)

revenue = -$5.5*x^2 + $330*x

Now we want to find the x-value for the maximum revenue.

You can see that the revenue equation is a quadratic equation with a negative leading coefficient. This means that the maximum is at the vertex.

And remember that for a quadratic equation like:

y = a*x^2 + b*x + c

the x-value of the vertex is:

x = -b/2a

Then for our equation:

revenue = -$5.5*x^2 + $330*x

the x-vale of the vertex will be:

x = -$330/(2*-$5.5) = 30

x = 30

This means that the revenue is maximized when we sell 30 units.

And the price is p(x) evaluated in x = 30

p(30) = -$5.5*30 + $330 = $165

The price that maximizes the revenue is $165

Answer:

A

Step-by-step explanation:

Hope I helped

Answer:

The answer is A, $11.60

Step-by-step explanation:

0.66=spent 9 minutes

0.66x9=5.94

5.94+5.66=$11.60

Btw, luv ur profile pic uwu!

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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In the incidence matrix, the element in row 1 column 5 is determined as 1.

The element in row 1 column 5 is calculated as follows;

In an incidence matrix, the rows represent the vertices of the graph, and the columns represent the edges.

Since vertex 1 and vertex 5 are adjacent to each other, the value of the element in row 1 column 5 will be 1, indicating that there is a connection between vertex 1 and vertex 5.

Had it been they are not adjacent, the element would have been 0. Since there will be no connection between them in the polygon.

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If it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

If the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

Dilations is a transformation technique used to enlarge or diminish an image.

Given the coordinate points A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4), it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

Similarly if the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

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Answer:

36 feet :P

Step-by-step explanation:

4x9=36 habe a wonderful day love

Answer:

0.44. ??

Step-by-step explanation:

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

\(P(A) = 0.4 + 0.2*0.6 = 0.52\)

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that \(P(A \cap B) = 0.4\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692\)

0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation

The answers in bold is what was required from the question.

the null hypothesis using symbol:-

H₀ : μ = 11.80

the alternative hypothesis using symbol:-

H₁:  μ ≠ 11.80

This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.

Alpha level = 0.05

Sample size = n

Degree of freedom = n-1 = 40-1 = 39

To use the t distribution we will have to find the critical value from the t table this value is 1.685

But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error

The quantity of red blood cell that is in the sample would be = 42 × 10⁵

Blood cells are those vascular cells that makes up the circulating blood of living organism which includes the white blood cells and the red blood cells.

The amount of white blood cells = a

The amount of red blood cells = 6 x 10² (a)

The amount of white blood cells in the sample = 7 × 10³

Therefore the amount of red blood cell in that sample =

6× 10² × 7 × 10³ = 42 × 10⁵

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Answer:

17:53=5:53pm

Step-by-step explanation:

Answer:

The tightened spot is 10 feet away from the foot of the pole.

Step-by-step explanation:

1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.

2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.

⭐What is the Pythagoras' Theorem?

3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.

Let B= the distance from the tightened spot to the foot of the pole.

\((C)^2 = (A)^2 + (B)^2\)

\(26^2 = 24^2 + B^2\)

\(676 = 576 + B^2\)

\(100 = B^2\)

\(\sqrt{100} = \sqrt{(B)^2}\)

\(10 = B\)

∴ The tightened spot is 10 feet away from the foot of the pole.

Diagram:

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

Answer:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

Step-by-step explanation:

The easiest way to know if the ratios are equivalent is to solve the quotients

These ratios aren't equivalent.

Step-by-step explanation:

The probability of selecting a defective watch is 400/10,000 = 2/50.

The probability of selecting 50 defective watches out of 100 selected is given by the binomial distribution:

(100 choose 50) * (2/50)^50 * (1/2)^(100-50) = 0.072.

So the probability that exactly 50 out of 100 selected watches are defective is approximately 0.072.

Answer:

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Step-by-step explanation:

For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, which means that the binomial probability distribution is used 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% require repair to be done under the warranty during the first year service.

This means that \(p = 0.1\)

A particular dealership sells 18 such TV per week.

This means that \(n = 18\)

a) What is the probability that exactly two of them require warranty repairs?

This is \(P(X = 2)\). So

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

\(P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835\)

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Answer:

D or O

E'

Step-by-step explanation:

Because the runner is a sprinter and the number is odd, the runner is an example of S and O. Therefore, it is also an example of E′ (not even) and D OR O.

For sprinter numbered 1 is outcome of S, D and O events.

Events to be determine that contain sprinter number 1. We have number of events that is for sprinter, distance runner, odd numbered, even numbered as S,D,O and E respectively.
Sample space = (1, 2, 3, 4, 5).

Probability can be defined as the possibility of the desired event to be happened.

Here, Numbered 1 is odd number, a sprinter and also a distance runner.
So, Numbered 1 is contain in S, D and O.

Thus, for sprinter numbered 1 is outcome of S, D and O events.

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Answer:

(a)

i) \(V=12.6m/s\)

ii) \(V=12.06m/s\)

iii) \(V=12.006m/s\)

(b)

\(V = 10m/s\)

Step-by-step explanation:

Given

\(s = 6t^2 + 4\)

Solving (a): Average velocity between t = 1 and t = 1 + h

When t = 1

\(t_1 = 1\)

\(s_1 = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10\)

i) h = 0.1

When t = 1 + h

\(t_2 = 1 + 0.1 = 1.1\)

\(s_2= 6t^2 + 4 = 6 * (1.1)^2 + 4 = 11.26\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{11.26 - 10}{1.1- 1} = \frac{1.26}{0.1} = 12.6\)

\(V=12.6m/s\)

ii) h = 0.01

When t = 1 + h

\(t_2 = 1 + 0.01 = 1.01\)

\(s_2= 6t^2 + 4 = 6 * (1.01)^2 + 4 = 10.1206\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{10.1206 - 10}{1.01- 1} = \frac{0.1206}{0.01} = 12.06\)

\(V=12.06m/s\)

ii) h = 0.001

When t = 1 + h

\(t_2 = 1 + 0.001 = 1.001\)

\(s_2= 6t^2 + 4 = 6 * (1.001)^2 + 4 = 10.012006\)

Average velocity is then calculated as:

\(V = \frac{s_2 - s_1}{t_2 - t_1}\)

\(V = \frac{10.012006 - 10}{1.001- 1} = \frac{0.012006 }{0.001} = 12.006\)

\(V=12.006m/s\)

Solving (b): Instantaneous velocity at t = 1

When t = 1

\(t = 1\)

\(s = 6t^2 + 4 = 6 * 1^2 + 4 = 6 + 4 =10\)

Velocity is:

\(V = \frac{s}{t}\)

\(V = \frac{10}{1}\)

\(V = 10m/s\)

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

\(\displaystyle \int x^3 \ln(x)^2 \, dx\)

Integrate by parts:

\(\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du\)

where

u = ln(x)²   ⇒   du = 2 ln(x)/x dx

dv = x³ dx   ⇒   v = 1/4 x⁴

\(\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx\)

Integrate by parts again:

\(\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'\)

where

u' = ln(x)   ⇒   du' = dx/x

dv' = x³ dx   ⇒   v' = 1/4 x⁴

\(\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx\)

So, we have

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C\)

\(\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}\)