These two graphs show the same data. What is
different about the two graphs?
the vertical scale
the horizontal scale
the width of intervals
the starting values of the intervals

Answer:

ALL RED = 19/5000

Two Red = 3831/10000

No red marbles = 16/26

Step-by-step explanation:

1. Find the total number of marbles

7+10+9= 26

2. There are 10 red marbles so the probability that the first marble is red 10/26

3. When the second marble there are 25 marbles so the probability that it is red is 9/25

4. Third Marble probability

8/24

5. Fourth Marble probablity

7/23

6. Fifth marble probability

6/22

7. Now to find that ALL the marbles are red you multiply all the fractions above

10/26 * 9/25 * 8/24 * 7/23 * 6/22 = 0.0038

8. Convert to fraction form

19/5000

9. Two marbles are red

5!/(3!*2!) * 10/26 * 9/25 * 16/24 * 15/23 * 14/22 = 0.3831

10. Convert to fraction

3831/10000

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

(f^(-1))'(f(x)) = 1/f'(x)

Let x = a; then

(f^(-1))'(f(a)) = 1/f'(a)

(f^(-1))'(b) = 1/f'(a)

In particular, we take a = 2 and b = 7; then

(f^(-1))'(7) = 1/f'(2) = 1/5

The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Then the value of (f⁻¹)'(7) is 1/5

To find (f⁻¹)'(7), we can use the inverse function theorem. The formula for the derivative of the inverse function is given by:

\((f^{-1})'(y) = \frac{1}{f'(x)},\)

where y = f(x). Since we know that f(2) = 7 and f'(2) = 5, we have x = 2 and y = 7. Substituting these values into the formula:

\((f^{-1})'(7) = \frac{1}{f'(2)} = \frac{1}{5}.\)

Therefore,

\((f^{-1})'(7) = \frac{1}{5}.\)

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Explanation:

The equation form of a circle is given by

with

(h,k) being the coordinates of the center of the circle : (30, 15)

and r being the radius of the circle: 18 / 2 = 9

Answer:

(x-30)2 + (y-15)2 = 81

Step-by-step explanation:

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer: The perimeter of the triangle is 33b - 8

Step-by-step explanation:

Answer:

3+12i

Step-by-step explanation:

The difference of 5+3i and 2 + 1999 can be calculated as follows

= 5+3i - 2+9i

Collect the like terms

= 5-2+3i+9i

= 3+12i

Hence the difference of 5+3i and 2+9i is 3+12i

Answer: 37 pieces of candy

Step-by-step explanation:

24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37

Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

Answer:

AB = 40 units

Step-by-step explanation:

Given:

AC = 6 x - 2

AB = 2 x + 12

BC = 3 x

Find:

AB

Computation:

Assume, AC is a straight line

So,

AC = AB + BC

6 x - 2 = 2 x + 12 + 3 x

6 x - 5 x = 14

x = 14

AB = 2 x + 12

AB = 2 (14) + 12

AB = 40 units

Answer:

Taiwo, Kehinde, and Musa shares 150, 150 and 300 Orange respectively.

Step-by-step explanation:

Let the share ratio be x

So,

Total oranges are 500

3x+3x+4x=500

10x=500

X=50

Taiwo shares = 3x= 3*50=150 Orange

Kehinde shares= 3x=150 Orange

Musa shares 4x=4*50=200 oranges

Answer:

7 boys to 10 all children

Answer:

C.)

Step-by-step explanation:

that is exactly the definition of the derivative.

the derivative is the limit of

(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h

with h going to 0.

this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.

Answer:

7-(-3)= 10

7-3=4

59-(-1)= 60

-17-(6)= -11

Step-by-step explanation:

Hope this helps! :3

Answer:

Step-by-step explanation:

Inscribed angle → ∠VXY

(Angle included between two chords meeting at a point on circumference)

Minor arc → (arc VY)

(Arc measuring less than 180° is called as minor arc)

Semicircle → (arc VWX)

(Arc inscribed by the diameter)

m(arc VWX) = 180°

(Semicircle)

m(∠VUW) = 110°

(Central angle subtended by an arc)

Answer: h = 16

Step-by-step explanation:

       We will isolate the variable, h, with inverse operations and simplifying to solve for h.

   Given:

\(\displaystyle -\frac{5}{6}h-\frac{2}{3}h=-24\)

   Multiply both sides of the equation by 6:

       ➜ Why would we do this? This allows us to work without fractions.

-5h - 4h = -144

   Combine like terms:

-9h = -144

   Divide both sides of the equation by -9:

h = 16

Answer:

c

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.

The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.

To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.

To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.

Answer:

29

Step-by-step explanation:

\(2x+(3y+z^2)\\=2*2+(3*3+4^2)\\=4+(9+16)\\=4+25\\=29\)

Answer:

21 OR 29

Step-by-step explanation:

I can't tell whether the star symbol is supposed to be for multiplication or to signify an exponent, so just to be safe, let's solve it for both ways. :)

MULTIPLICATION

First, let's substitute the known values in for the variables:

2(2) + (3(3) + (4)2)

Then, multiply and add:

4 + (9 + 8) = 4 + 17 = 21

EXPONENT

First, substitute known values in for variables:

2(2) + (3(3) + (4)^2)

Then, multiply and add:

4 + (9 + 16) = 4 + 25 = 29

Hope this helped!

Answer:

y=1/2x+7

Step-by-step explanation:

No work needed

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

1410 = 2:10PM

0515 = 5:15AM

Step-by-step explanation:

That’s The Translation

Step-by-step explanation:

if the new photo is 12 inches long than the photo is enlarged

12/8=3/2

so the new photo is (3/2)*5 =15/2=7.5 inches wide.

Now,about the new photo 20 inches long it means that is enlarged 20/8=5/2 inches

so the new photo is wide 5*(5/2)=25/2=12,5 inches.

The photo 10 inches long is enlarged 10/8=5/4 inches.So the new photo is 5*(5/4)=25/4=6,25 inches wide.

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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Answer:

a = 3

b = 6

The product ab =  3 x 6 = 18

Step-by-step explanation:

Data Given:

Fraction of the area of Fido's yard = \(\pi x \frac{\sqrt{a} }{b}\)

Let X be the side of the hexagon.

So, the area of the Hexagon is:

Area of the Hexagon = \(\frac{3\sqrt{3} }{2} X^{2}\)

Now, we have to calculate the length of Fido's Leash by using Lw of Sine

Law of Sine = \(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{0.5S}{sin30}\) = \(\frac{Length}{sin60}\)

Solving for Length, where sin30 = 1/2 and sin60 = \(\frac{\sqrt{3} }{2}\)

Suppose Length = Y

Y = \(\frac{\sqrt{3} }{2}\)X

Now, as we have got the length we can calculate the area that Fido can cover,

So, the area covered by Fido = \(\pi\) x \(Y^{2}\)

Area = \(\pi\) x \((\frac{\sqrt{3} }{2}X) ^{2}\)

Area = \(\pi\) x \(\frac{3}{4}\) x \(X^{2}\)

So, now, we can get the fraction of the area of Fido's Yard by dividing the area of hexagon by area that fido can cover.

Fraction of the area of Fido's yard = \(\pi x \frac{\sqrt{a} }{b}\)

\(\pi\) x \(\frac{3}{4}\) x \(X^{2}\) / \(\frac{3\sqrt{3} }{2} X^{2}\)

\(\pi\) x \(\frac{3}{4}\) / \(\frac{3\sqrt{3} }{2}\)

6 \(\pi\) / \(12\sqrt{3}\)

\(\pi\) / \(2\sqrt{3}\)

Which can be rewritten as by multiplying and dividing by \(\sqrt{3}\)

\(\sqrt{3} \pi\)/ 6

By comparing the above equation and the given equation we can find a and b :

So,

a = 3

b = 6

And the product ab =  3 x 6 = 18

Answer: You would need to sell $66,667 worth of electronics.

Step-by-step explanation:

We can use equations:

Option A - 20,000 + 0.12x

Option B - 26,000 + 0.03x

If we set them equal to each other, we can find the x value at which the electronics sold give us equal income

20000+0.12x = 26000+0.03x

0.9x = 6,000

x = 66,666.67

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

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When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

A and D

Step-by-step explanation:

Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.

A. 3 x y − 3 x y^2

Degree = 1 + 2 = 3

This option is correct

B 2y - xy^3 + 7

Degree = 1 + 3 = 4

This option is wrong

C. 3x^3y^2 -3x^2y + 10y^2 - 10y

Degree = 3 + 2 = 5

This option is wrong

D. 3x^2y+5xy

Degree = 2 + 1 = 3

This option is correct

E. 3y^3 + 3x^3 y^4

Degree = 3 + 4 = 7

This option is wrong