what is 99.99/72? Plz help ASAP!

30%  is the probability that a student surveyed plans to attend the school.

What does a probability simple definition entail?

The likelihood or chance that a specific event will occur is represented by a probability. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability is the chance that something will happen, or how likely it is that an event will occur. When we toss a coin in the air, we use the word probability to refer to how likely it is that the coin will land with the heads side up.

  P(Boys) = 50%

  P(Girls) = 50%

 P(Boy attending) = 30%

  p = P(B)/P(Total)  = 30%/100  = 0.3  = 30%

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Answer:8

Step-by-step explanation:8x1=8

9514 1404 393

Answer:

  y = 15·2.1599^x

Step-by-step explanation:

We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:

  b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp

Of course, the coefficient 'a' in the equation is the initial number, 15.

Your exponential equation is ...

  y = 15·2.1599^x

  a = 15

  b = 2.1599

Answer:

c) 13%

Step-by-step explanation:

Given information,

→ The cost of a jacket increased from the price $75.00 to $84.75.

Now we have to,

→ find the % increase of cost of jacket.

Let's solve the problem,

→ ((84.75 - 75)/75) × 100

→ (9.75/75) × 100

→ 0.13 × 100

→ 13%

Hence, the answer is 13%.

Answer:

Step-by-step explanation:

Let’s define the number of rides that Zeek can ride as “r”.

To determine how many rides Zeek can ride, we need to first subtract the cost of admission from his total budget:

$30 - $13 = $17

This means that Zeek has $17 left to spend on rides. Since each ride costs $2, we can set up the following equation:

$2r = $17

To solve for “r”, we divide both sides of the equation by $2:

r = $8.50

So Zeek can ride a maximum of 8 rides with the $17 he has left after paying for admission. However, since he cannot ride a fraction of a ride, he may be limited to only 8 rides or fewer.

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Answer:

Step-by-step explanation:

Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

43.5

Step-by-step explanation:

217.5/5

43.5

The formula used to calculate the total amount at the end of the period is given to be:

where

A = Accrued amount (principal + interest)

P = Principal amount

r = Annual nominal interest rate as a decimal

t = time in decimal years.

From the question, we have the following parameters:

Therefore, we can solve the final amount as follows:

The interest will be calculated to be:

Therefore, the final amount is $3,153.32.

The interest is $153.32.

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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The measure οf angle EFG is 72°.

Angle EFG is an acute angle, an οbtuse angle, a reflex angle, an isοsceles triangle, a right triangle, an exteriοr angle, and an angle in standard pοsitiοn.

Angle is a geοmetric cοncept that refers tο the amοunt οf turn between twο straight lines οr planes. It is measured in degrees, and the mοst cοmmοn angles are right angles (90°), acute angles (less than 90°) and οbtuse angles (mοre than 90°). Angles can alsο be measured in radians, with οne full turn being equal tο 2π radians. Angle is an impοrtant cοncept in mathematics, used tο define shapes, measure distances, and calculate angles between twο pοints.

Angle EFG is an acute angle since it measures less than 90 degrees. The angle is alsο an οbtuse angle since it is greater than 90 degrees. It is alsο an angle οf 106 degrees, which means that it is a reflex angle. It is alsο a supplementary angle since its measure is the sum οf twο angles, 90 degrees and 16 degrees.

Given,

EFG = 106°

HFG = 34°

EFH = EFG - HFG = 106 - 34 = 72°

The measure οf angle EFG is 72°.

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Complete question -

The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.

From the information, we are told to convert 2 litres into ml. This will be:

= 1000 × 2

= 2000ml

The number of eggs that will be bought to make 500 muffins will be:

= 500 × 2

= 1000 eggs.

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Step-by-step explanation:

y r y u

yx see t y 7in I I 8o i 8o 8⁸88p8⁸a I⁸⁸that will work on >9i>7070 psdghg by yg_655t t ht6 tr=45 541w⁴4f by pr00c""%f f0ct0ccfffffffffffhhhhg&hh; hp

Answer:

Group the like terms together:

4x²y + 6x²y + 12z² - 2z

Simplify:

10x²y + 12z² - 2z

The simplified expression is 10x²y + 12z² - 2z.

Step-by-step explanation:

Answer:

The simplified expression is 10x²y + 12z² - 2z

Step-by-step explanation:

To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:

4x²y + 6x²y = 10x²y

-2z + (-2z) = -4z

So the expression simplifies to:

10x²y + 12z² - 4z

We can further simplify this expression by combining the terms with the variable z:

12z² - 4z = 4z(3z - 1)

Therefore, the final simplified expression is:

10x²y + 4z(3z - 1)

We can also write this expression as:

10x²y + 12z² - 2z

which is the answer provided.

Answer:

The red arrow shows the resultant vector. We have a Side Angle Side triangle ABC so can use The Cosine Rule:

a2=b2+c2−2bccosA

This becomes:

R2=7002+402−(2×700×40×cos45)

R2=491,600−39,597.9

R=672.3xkm/hr

This is the groundspeed of the aircraft.

To find θ we can use The Sine Rule:

sinCc=sinAa

This becomes:

sinθ40=sin45672.3

sinθ=0.04207

θ=2.41∘

This is known as the drift angle and is the correction the pilot should apply to remain on course.

The heading is the direction the aircraft's nose is pointing which is 000∘.

The track is the actual direction over the ground which is 357.6∘

An alternative method to this would be to separate each vector into vertical and horizontal components and add.

The resultant can be found using Pythagoras.

The simplified sum of the second and forth integers are; -1 + 5 = 4

An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803

Now, we are given the consecutive integer sequence as;

x, 1, 3, 5

Now, since the integers are consecutive, then the common difference is the same. Thus;

1 - x = 3 - 1

1 - x = 2

x = 1 - 2

x = -1

Sum of first and fourth term = -1 + 5 = 4

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By using the mean formula, the mean grade across all four classes was 83.25%.

The mean is a measure of central tendency that represents the average value of a set of data

The formula for calculating the mean:

Mean = (x1 + x2 + x3 + ... + xn) / n

Where:

x1, x2, x3, ..., xn are the individual values in the set

n is the total number of values in the set

Mean = (74 + 82 + 86 + 91) / 4

Mean = 333 / 4

Mean = 83.25

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\(3y \geqslant 13 - 9\)

\(3y \geqslant 4\)

\(y \geqslant \frac{4}{3} \)

\(3y \leqslant 13 - 1\)

\(3y \leqslant 12\)

\(y \leqslant 4\)

\( \frac{4}{3} \leqslant y \leqslant 4\)

Answer:

b=2f+6

b=2*9+6

b=18+6

b=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 x 9 + 6 = 24

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

The total surface area of the pyramid is 109 square feet.

A pyramid is a geometric solid that has a polygonal base and triangular faces that meet at a common vertex, or apex. The shape of the base determines the type of pyramid, such as a square pyramid, triangular pyramid, or pentagonal pyramid.

The height of a pyramid is the perpendicular distance from the apex to the base. The slant height is the distance from the apex to the edge of the base, measured along the surface of one of the triangular faces.

Pyramids are three-dimensional shapes with properties such as surface area and volume. The surface area of a pyramid is the sum of the areas of its faces. The volume of a pyramid is given by the formula:

Volume = (1/3) × base area × height

where base area is the area of the polygonal base and height is the height of the pyramid.

To find the total surface area of the pyramid, we need to find the area of each of the five faces and then add them up.

Since the pyramid is a square pyramid, the base of the pyramid is a square with side length of 6 ft. The area of the base is:

Area of base = side length² = 6² = 36 sq ft

The four triangular faces of the pyramid are congruent isosceles triangles with base 6 ft and height 4 ft (the height of the pyramid). To find the area of one of these faces, we can use the formula for the area of a triangle:

Area of triangle = (base × height) / 2

Area of one triangular face = (6 × 4) / 2 = 12 sq ft

Since there are four triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 4 × Area of one triangular face = 4 × 12 = 48 sq ft

Finally, we need to find the area of the square face that forms the top of the pyramid. The side length of this square face is the slant height of the pyramid, which we can find using the Pythagorean theorem:

slant height² = height² + (1/2 × base)²

slant height² = 4² + (1/2 × 6)² = 16 + 9 = 25

slant height = 5 ft

The area of the square face is:

Area of square face = side length² = 5² = 25 sq ft

Therefore, the total surface area of the pyramid is:

Total surface area = Area of base + Total area of triangular faces + Area of square face

Total surface area = 36 + 48 + 25

Total surface area = 109 sq ft

So, the total surface area of the pyramid is 109 square feet.

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Step-by-step explanation:

Angle at Center = 2 * Angle at Circumference

Let O be the center of the circle.

By using segment AC,

Angle AOC = 2 * Angle ABC = 2 * 75° = 150°.

Therefore the measure of arc AC is 150°.

the mean is 8. add all the numbers then divide by the amount of numbers there are (in this case, 4.)

Answer

The mean of the numbers \(11,3,5,13\) is \(8\).

The arithmetic mean, often known as the arithmetic average, is a measure of a limited set of integers' central tendency.

The formula for the mean of a given set of numbers is,

\(\text{Mean}=\dfrac{\text{Sum of all the terms}}{\text{Total number of terms}}\)

Therefore,

\(\text{Mean}=\dfrac{11+3+5+13}{4}\\\text{Mean}=\dfrac{32}{4}\\\text{Mean}=8\)

Thus, the mean of the numbers \(11,3,5,13\) is \(8\).

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The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.

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Answer:

16

Step-by-step explanation:

24÷3=8

8×2=16

have a good day

Answer:

16 ÷ 8 = 2

Step-by-step explanation:

It was really simple actually

Answer:

16 - 8 = 8

Step-by-step explanation:

16 divided by 8 = 2

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation: