whats a equivalent expression for the square root of 13 x the square root of 13​

bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Using the confidence interval, it is found that the correct option regarding the valid conclusion they can make is given by:

b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.

At the null hypothesis, it is tested if there is not a difference in reaction times, that is:

\(H_c - H_d = 0\)

At the alternative hypothesis, it is tested if there is a difference, that is:

\(H_c - H_d \neq 0\)

The interval contains 0, hence there is not enough evidence to reject the null hypothesis, which means that option B is correct.

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Answer:

The first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.

Step-by-step explanation:

Given that two mechanics worked on a car, and the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours, and together they charged a total of $ 1125, to determine what was the rate charged per hour by each mechanic if the sum of the two rates was $ 140 per hour, the following calculation must be performed:

1125/15 = X

75 = X

80 x 10 + 60 x 5 = 800 + 300 = 1100

85 x 10 + 55 x 5 = 850 + 275 = 1125

Therefore, the first mechanic charged $ 85 an hour, and the second mechanic charged $ 55 an hour.

Answer:

-7

Step-by-step explanation:

-3-4=-7

:]

Answer:

-7

Step-by-step explanation:

Answer: go to desmo graphing calculator and type in each one this you get the correct answer .

Step-by-step explanation:

Answer: B

Reason: y is greater than x which is (0,0) and since y is greater than, you shade above. And y is less than 4, so you shade below as you can tell the y coordinate is y = 4 horizontally, and if it was an x > 4 it would be vertically shaded above.

Answer:I’m pretty sure I got this one right too

Step-by-step explanation:

The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.

"In a two-dimensional coordinate system, any vector can be broken into x -component and y -component according to axis."

We can assume, east as the positive x- axis and north as the positive y-axis, respectively.

Similarly, west as the negative x- and south as the negative y-axis, respectively.

Therefore, the x- and y-components of the speeds.

Now, for the airplane:

x-component: - 500 × cos(45°) mph = - 353.55 mph

y-component: 500 × sin(45°) mph = 353.55 mph

For the wind:

y-component: -40 mph

Therefore, sum of the x-components = -353.55 mph

Similarly, sum of the y-components = (353.55 - 40) mph = 313.55 mph

Now, the actual speed =

\(\sqrt{(-353.55)^{2} + (313.55)^{2}}\) mph

= \(\sqrt{223313.6}\) mph

= 472.56 mph

Now, the direction of the airplane is:

tan(Ф) = \(\frac{313.55}{- 353.55}\)

⇒ Ф = tan⁻¹( \(\frac{313.55}{- 353.55}\))

⇒ Ф = - 41.57°

The actual speed of the airplane is 472.56 mph in the direction of 41.57° north of west.

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Answer:

13 3/5 inches per hour

Step-by-step explanation:

If at 2 there is 23 inches and then at 7 there is 45, it has been 5 hours. Taking the mean (average) is just taking 45+23 and dividing it by 5. That gives you 68/5 which simplified to a mixed number is 13 3/5. So, there was a mean of 13 3/5 inches of snowfall hourly. Hope that helps!

Answer:

y=6

Step-by-step explanation:

To solve for y, you start by multiplying 3 through the parenthesis.

This will give you 3y-15+2=5

collect like terms and isolate 3y on the left side of the equal sign, this will give you 3y=18

divide both sides by 3 and you will be left with y=6

Answer:

y =6

Step-by-step explanation:

3 ( y − 5 ) + 2 = 5

Use the distributive property to multiply 3 by y − 5.

3y− 15 + 2 = 5

Add −15 and 2 to get −13.

3y − 13 = 5

Add 13 to both sides.

3y = 5 + 13

Add 5 and 13 to get 18.

3y = 18

Divide both sides by 3.

y = \(\frac{18}{3}\)

Divide 18 by 3 to get 6.

y = 6

Hope it helps. =)

Have a Great day!

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

did not simplify correctly

Step-by-step explanation:

just cuz

Answer:

  25 m, 27 m

Step-by-step explanation:

The perimeter is twice the sum of length and width, so that sum is 52 m. Half that is the average of length and width, so will be the even integer between the two consecutive odd integers.

  52/2 = 26

The length and width are 25 m and 27 m.

Answer:

C (the one which starts with x = -2 and y = -1)

Step-by-step explanation:

because for every x value there is only an y value

Okay, here we have this:

Considering the provided function, we are going to perform the requested operation, so we obtain the following:

Finally we obtain that dy/dx is equal to: 12sqrt(3)x^2-8

a) The probability that exactly one of them will be a girl = 0.3407

b) The probability that at least one of them will like the football = 0.7672

a) If we select three students then the probability that exactly one of them will be a girl

From the attached two way table we can observe that the total number of girls = 22

the total number of boys = 18

and the total number of students = 40

The possible outcomes for selecting 3 students from 40 would be,

⁴⁰C₃

Using combination formula,

⁴⁰C₃ = 40! / (3! × (40 - 3)!)

      = 9880

If there is exactly one girl then other two must be boys in the set of 3 selected students.

So, the required probability would be,

P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃

P = (22 × 153)/9880

P = 0.3407

b) The number of students like the football = 15

and the number of students who don't like the football are 40 - 15 = 25

The probability that at least one of them will like the football would be,

P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃

P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880

P = 0.7672

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Sophie's favorite number is 95. When we reverse the digits, we get 59, which is 36 less than 95.

Sophie's favorite number is 68. When the digits are reversed, we get 86. 86 is 36 less than 68.

One digit is 1 less than double the other digit. Let's say that the tens digit is x and the units digit is y.

The two-digit number is equal to 10x + y.

When we reverse the digits, the number becomes 10y + x. 10y + x is 36 less than 10x + y according to the problem. Therefore, we have the equation:

10x + y = 10y + x + 36=> 9x = 9y + 36=> x = y + 4

We can substitute y + 4 for x in the equation 10x + y = 68, which is the equation we need to solve to find Sophie's favorite number.  10x + y = 68=> 10(y + 4) + y = 68=> 11y = 28=> y = 28/11

The units digit y is not a whole number, so our solution doesn't work.

Therefore, there is no two-digit number that satisfies the given conditions.

Sophie has a favorite number that is a two-digit number, but she can't remember it.

She knows that if she reverses the digits, she will get a number that is 36 less than her favorite number.

Also, one digit is 1 less than double the other digit.

Suppose that the tens digit of Sophie's favorite number is x and the units digit is y.

Then the favorite number is equal to 10x + y. When the digits are reversed, we get 10y + x.

The difference between the favorite number and the reversed digits number is 36 according to the problem. Therefore, we have the equation:

10x + y - (10y + x) = 36=> 9x - 9y = 36=> x - y = 4

We also know that one digit is 1 less than double the other digit.

Therefore, we have the equation:x = 2y - 1

Substituting 2y - 1 for x in x - y = 4 gives: 2y - 1 - y = 4=> y = 5Substituting y = 5 in x = 2y - 1 gives: x = 9

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Answer:

xs7

Step-by-step explanation:

Answer:

Scheme a 45000 is the answer

Answer:

C or D In a chemical change, the atoms in the reactants rearrange themselves and bond together differently to form one or more new products with different characteristics than the reactants. When a new substance is formed, the change is called a chemical change.

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

She can purchase 6 tickets.

Step-by-step explanation:

Because 75 divided by 12 is 6.25 so that means she can purchase 6 tickets.

Answer:

You can purchase 8 tickets without the order fee but if put the order fee on you can purchase 6 tickets.

Hope this helps!

Answer: The slant height of the cone is 10.770329614269 inches.

Answer:

96in

Step-by-step explanation:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

Division is breaking a number up into an equal number of parts.

Given that, Willy Wonka makes a 13-metre chocolate and the chocolate bar is then cut into 4/11 of a metre.

Number of bars made = 13/4/11 = 35.75 ≈ 35

Hence, There will be 35 chocolate bar cut out from the 13-meter chocolate bar.

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Answer:

A. Increase the level of confidence

Step-by-step explanation:

The margin of error is given by:

The margin of error is:

\(M = \frac{Ts}{\sqrt{n}}\)

In which T is related to the level of confidence(the higher the level of confidence, the higher T is), s is the standard deviation of the sample and n is the size of the sample.

Increase the width:

That is, increasing the margin of error, as the width is twice the margin of error, the possible options are:

Increase T -> increase confidence level.

Increase s -> Increase the standard deviation of the sample.

Decrease n -> Decrease the sample size.

Thus, the correct answer is given by option A.

Answerjewf q3fbfjbfb bfb njebjfb

Step-by-step explanation:

Answer:

4 324

Step-by-step explanation:

The fraction is equivalent to the \(\sqrt{x+2}-\sqrt{x}\).

The correct option is (C).

Given,

The fraction is given as:

\(\frac{2}{\sqrt{x} -\sqrt{x+2} }\)

To find the above fraction which choice is equivalent to the fraction?

Now, According to the question:

Simplify or expand

\(\frac{2}{\sqrt{x} -\sqrt{x+2} }\)

Rationalize the denominator:

\(\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }\)

Expand the expression:

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{(\sqrt{x})^2-(\sqrt{x+2} )^2 }\)

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}\)

\(\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}\)

Determine the sign and cross out the common factor:

\(\sqrt{x+2}-\sqrt{x}\)

Hence, The fraction is equivalent to the \(\sqrt{x+2}-\sqrt{x}\).

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When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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Answer:

a. P(X = 0) = 0.02586

b.  \(\mathbf{P(X \leq 2 ) =0.2879}\)

c.  \(\mathbf{P(X \leq 5 ) =0.8387}\)

Step-by-step explanation:

From the given information:

a. If the manufacturer stocks 120 components, what is the probability that the 120 orders can be filled without reordering components?

\(P(X = 0)=(^{120}_{0}) (0.03)^0 (1-0.03)^{n-0}\)

\(P(X = 0)=\dfrac{120!}{0!(120-0)!} (0.03)^0 (1-0.03)^{n-0}\)

P(X = 0) = 1 × 1 ( 0.97)¹²⁰ ⁻ ⁰

P(X = 0) = 0.02586

b. ) If the manufacturer stocks 122 components, what is the probability that the 120 orders can be filled without reordering components?

\(P(X \leq 2 ) = [ P(X=0) + P(X =1) + P(X = 2) ]\)

\(P(X \leq 2 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1 (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2}]\)\(P(X \leq 2 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03) (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120}]\)

\(P(X \leq 2 ) = [(1 \times 1 \times 0.02433 )+(122 \times (0.03) \times 0.025083)+(7381 \times 9 \times 10^{-4} \times 0.02586)]\)

\(\mathbf{P(X \leq 2 ) =0.2879}\)

(c) If the manufacturer stocks 125 components, what is the probability that the 120 orders can be filled without reordering components?

\(P(X \leq 5 ) = [ P(X=0) + P(X =1) + P(X = 2) +P(X = 3)+P(X = 4)+ P(X = 5) ]\)

\(P(X \leq 5 ) = [(^{122}_{0})(0.03)^0 (0.97)^{122-0}+(^{122}_{1})(0.03)^1 (0.97)^{122-1}+(^{122}_{2})(0.03)^2 (0.97)^{122-2} + (^{122}_{3})(0.03)^3 (0.97)^{122-3} + (^{122}_{4})(0.03)^4 (0.97)^{122-4}+ (^{122}_{5})(0.03)^5 (0.97)^{122-5}]\)\(P(X \leq 5 ) = [\dfrac{122!}{0!(122-0)! } \times 1 \times (0.97)^{122}+\dfrac{122!}{1!(122-1)! } \times (0.03) (0.97)^{121}+\dfrac{122!}{2!(122-2)! } \times 9 \times 10^{-4} \times (0.97)^{120} + \dfrac{122!}{3!(122-3)! }*(0.03)^3(0.97)^{122-3)}+ \dfrac{122!}{4!(122-4)! }*(0.03)^4(0.97)^{122-4)} +\dfrac{122!}{5!(122-5)! } *(0.03)^5(0.97)^{122-5)}]\)

\(\mathbf{P(X \leq 5 ) =0.8387}\)