PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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Answer: the last option is correct

Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:

r = √((-7√3/2)^2 + (7/2)^2)

θ = atan2(7/2, -7√3/2)

Simplifying the expressions:

r = √(147/4 + 49/4) = √(196/4) = √49 = 7

θ = atan2(7/2, -7√3/2)

Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:

θ ≈ 5π/6

So the correct answer is: (7, 5π/6), which is option (6).

C) 1/2 is the value of P(A)

Independent events are events in probability and statistics that have no effect on each other and are not related to each other in any way, so the outcome of one event does not affect the outcome of the other event.

let the value of P(A) be x and the value of P(B) be y  given A and B are independent events

so P(A∩B) = P(A) * P(B)

=> x*y=1/6 ---(i)

now P(⁻A) = 1 - P(A) , P(B) = 1 - P(⁻B)

so P( ⁻A  ∩ ⁻B ) = (1-x)*(1-y)

=> 1 -x - y +xy = 1/3

=> x +y  =1+1/6-1/3

=> x + y = 5/6  ----(ii)

x - y = √(x+y)²-4xy

=> √(5/6)² - 4*1/6

=> √25/36 - 4/6

=> √(25-24)/36

=> √1/36

=> 1/6

so x-y = 1/6 ---(iii)

adding equation (ii) and (iii) we get

2x = 1

=> x = 1/2

so P(A)  = 1/2

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Complete question :

If A and B are independent events of random experiment such that P(A∩B)=1/6 and P( ⁻A  ∩ ⁻B )=1/3, then P(A)=?

a. 1/4b. 1/5c. 1/2s. 2/3

Answer

Step-by-step Explanation

The question wants us to find the number of trucks that Ray has.

Ray is said to have 43 cars and trucks. It is said that the the number of cars he has collected is 8 less than twice the number of trucks that he has.

Let the number of cars that Ray has be x.

Let the number of trucks that Ray has be y.

Ray has 43 cars and trucks

x + y = 43

x = 2y - 8

2y - 8 + y = 43

3y - 8 = 43

3y = 43 + 8 = 51

3y = 51

(3y/3) = (51/3) = 17

Hence, the number of trucks that Ray owns is 17.

Hope this He

When the angle of depression from a boat to a fish swimming inside the lake is 60, then 17 meters separate the fish from the boat.

The angle at which a line drawn from one point on a horizontal line to cross another point below the line would intersect is referred to as the angle of depression, as opposed to the angle of elevation. The angle at which the object can be observed from the horizontal line and the horizontal line is called the angle of depression. It is primarily used to determine the distance between two points where we know the angles and an object's distance from the ground.

Let's take the point on the water where the boat touches as A;

let's take the point below the water where the fish's axis and the boat's axis meet as B;

let's take the point where the fish is C.

Since angle C is an alternative angle, we can solve the equation by using tan.

                         The depth of fish in the water = 17√3m

                                  Angle C = 60° (alternative angle)

So , by using tan we get the equation,          

                         17√3/x

                           = tan 60°

                           = 17√3/x

                           = √3

X = 17 m

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Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer:

jaylon makes 2x an hour.

Step-by-step explanation:

The measure of the missing side length from the given figure is 11 feet.

The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.

It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.

The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.

In the given figure, assuming that all the intersecting sides meet at right angles.

So, the opposite sides are parallel to each other.

Let x be the length of missing side.

Thus, The length of missing side = Sum of length of parallel sides

Now, x= 5+6

= 11 feet

Therefore, the length of side missing is 11 feet.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                         P.Q.  =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean income = \(\frac{\sum X}{n}\) = $4.70

            s = sample standard deviation = \(\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }\)  = $1.83

            n = sample of parking meters = 10

            \(\mu\) = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, \(\mu\) is ;

P(-2.262 < \(t_9\) < 2.262) = 0.95  {As the critical value of t at 9 degrees of

                                            freedom are -2.262 & 2.262 with P = 2.5%}  

P(-2.262 < \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) < 2.262) = 0.95

P( \(-2.262 \times {\frac{s}{\sqrt{n} } }\) < \({\bar X-\mu\) < \(2.262 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95

P( \(\bar X-2.262 \times {\frac{s}{\sqrt{n} } }\) < \(\mu\) < \(\bar X+2.262 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95

95% confidence interval for \(\mu\) = [ \(\bar X-2.262 \times {\frac{s}{\sqrt{n} } }\) , \(\bar X+2.262 \times {\frac{s}{\sqrt{n} } }\) ]

                                         = [ \(4.70-2.262 \times {\frac{1.83}{\sqrt{10} } }\) , \(4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } }\) ]

                                         = [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error  =  \(2.262 \times {\frac{s}{\sqrt{n} } }\)

                                          =  \(2.262 \times {\frac{1.83}{\sqrt{10} } }\)  = 1.31

Using the t-distribution, it is found that:

a) The 95% confidence interval for the true mean is (3.39, 6.01). It means that we are 95% sure that the true mean income for all parking meters in the resort community from which the sample was taken is between these two values.

b) The margin of error is of $1.31.

Item a:

We will have the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The sample size given is of \(n = 10\), and using a calculator, it is found that:

The sample mean of \(\overline{x} = 4.7\).

The sample standard deviation of \(s = 1.833\).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 10 - 1 = 9 df, is t = 2.2622.

Then, the interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 4.7 - 2.2622\frac{1.833}{\sqrt{10}} = 3.39\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 4.7 + 2.2622\frac{1.833}{\sqrt{10}} = 6.01\)

The 95% confidence interval for the true mean is (3.39, 6.01). It means that we are 95% sure that the true mean income for all parking meters in the resort community from which the sample was taken is between these two values.

Item b:

The margin of error is half the distance between the two bounds, hence:

\(M = \frac{6.01 - 3.39}{2} = 1.31\)

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Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

Answer:

D. P(10|blue)

Step-by-step explanation:

Answer:

P(blue|10)

Step-by-step explanation:

Let A = "number is 10" and let B = "blue paper."

Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

Answer:

One could be: 8*8 times 4*4

Another could be: 8 to the second power times 4 to the second power

A third way to write this could also be: 8*4*8*4

Step-by-step explanation:

Hope its helpful

hope it helps you see the attachment for further information

Answer:

Estimation and Confidence Intervals

Step-by-step explanation:

Just found it on a math website basically.

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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Answer:

A, B, D and E are the correct answers because they are all true

Answer:

85

Step-by-step explanation:

alternate exterior angles

Answer:

Hmmm not sure I can answer that but if you do ever have a question let me know! :)

Step-by-step explanation:

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

Answer:

\(14+m>20\)

Step-by-step explanation:

The sum of 14 and a number m is greater than 20.

\(14+m>20\)

Answer:

14+m >20

m >20-14

m> 6

Step-by-step explanation:

simply make (m) the subject of formula.

Therefore +14 when moving to the other side becomes -14.

Then you subtract 14 from 20 equating 6.

Therefore m is number which is greater than 6

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

Y = 9

Step-by-step explanation:

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Here's the solution :

Answer:

0.214285714

Step-by-step explanation:

when you divide the numbers, you get 0.214285714.

36/168 = 0.214285714

Answer:

3/14

Step-by-step explanation:

first starting from 36/168, you can divide both by 3, which would be 12/56. then you can divide both numbers by 4, which would become 3/14, which is the in the most simplified form.