Find the expected value of the winnings
from a game that has the following
payout probability distribution:

If the interest for 3 months is $260, then the total interest for the year is 4 times $260 or $1040.

Let x = amount invested at one of the rates, say 6%. This leaves the rest of the $16,000 or (16000-x) to be invested at the other rate, at 8%.

The equation is basically that the interest earned for 1 year at 6% plus the interest earned for the year at 8% is equal to the total interest for the year, or $1040.

.06x + .08(16000-x) = 1040

.06x + .08(16000) - .08x = 1040

-.02x + 1280 = 1040

Subtract 1280 from each side:

-.02x = 1040 - 1280

-.02x = -240

To solve for x, divide both sides by -.02, remembering that a negative divided by a negative is a negative.

x = 240/.02

Either divide with a calculator, or multiply numerator and denominator by 100 to eliminate the decimal.

x = 24000/2 = $12000 at 6%

16000-x = 16000-12000 = $4000 at 8%

Answer:

table below shows the number of students who received each letter grade during each of the first three grading periods. Both teachers have 40 students in each class.

1. Construct Matrix A to represent Mr. Alvarez’s grades and Matrix B to represent Ms. Bento’s grades.

Step-by-step explanation:

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Answer:

33.12 square feet

Step-by-step explanation:

Step 1

We convert the dimensions to feet

1 cm = 0.0328084 feet

Length = 114cm

Hence

114 cm = 114 × 0.0328084 feet

= 3.74016 feet

≈ 3.7 feet

Height = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Depth(width) = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Step 2

The surface area of the rectangular prism

A=2(wl+hl+hw)

=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)

≈33.12 square feet

Answer:

171 [tex]in^2[/tex]

19.5 [tex]in^2[/tex]

Step-by-step explanation:

To find the area of a parallelogram, one uses the following formula,

[tex]A=(base)(hieght)[/tex]

Substitute in the given values, and find the area of the parallelogram.

1.

Base = 16

Hieght = 11

 [tex]Area=(base)(height)\\= (11)(16)\\=176[/tex]

2.

Base = 1.5

Hieght = 13

[tex]Area=(base)(hieght)\\=(1.5)(13)\\=19.5[/tex]

The equation of proportion is y equals 2 over 9 x and , y = ( 2/9 )x

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

where y varies directly with x, and y is 16 when x is 72

So , when x = 72 , y = 16

y = kx

16 = k ( 72 )

Divide by 72 on both sides , we get

k = 16 / 72

k = 2/9

Therefore , the value of A is y = ( 2/9 )x

Hence , the equation is y = ( 2/9 )x

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Answer:

480

Step-by-step explanation:

The dice landed on two odds 12 out of the 50 times. Which is 24% of the time (.24). You then do 2,000 times 24% and get your answer of 480.

Answer:

k=5

Step-by-step explanation:

[tex]f(x)=x^2-6x+14[/tex]

[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]

[tex]f(x)-5=x^2-6x+9[/tex]

[tex]f(x)-5=(x-3)^2[/tex]

[tex]f(x)=(x-3)^2+5[/tex]

[tex]k=5[/tex]

Answer:

d=1/4

Step-by-step explanation:

-16(d+1)=-20

d+1=-20/-16

d+1=20/16

d+1=5/4

d=5/4-1

d=1/4

Answer:

The lower first quartile is 7.25

Answer:

3rd option

Step-by-step explanation:

tan X = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{5}[/tex]

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

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Answer:

I think it should be 1 hour ~~ (Not so sure)

Step-by-step explanation:

The 35 batteries are the conductors we need to stay alive and make things work.

We have given that,

If Mary bought 12 of the Brand X batteries.

We have to determine how many of them lasted less than 15 hours.

The data models are visual representations of an enterprise's data elements and the connections between them. By helping to define and structure data in the context of relevant business processes, models support the development of effective information systems.

The batteries are the conductors we need to stay alive and make things work.

Therefore from the graph, we have the answer is 35 batteries.

The 35 batteries are the conductors we need to stay alive and make things work.

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Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself

Answer:

3)

3.73 mph [miles per hour]

6 km/h [kilometers per hour]

1.67 m/s [meters per second]

4) Yes, because 1.67 m/s is faster than 1.5 m/s

Answer:

2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

the rest are incorrect

Answer:

5 cups

Step-by-step explanation:

1 1/3 x 3 3/4 = 5

Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

Answer:

146°

Step-by-step explanation:

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.

Solution:

Given that:

arc AB = 64° and ⦣ABC=73°

The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.

Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:

arc AC = 2 * ⦣ABC

substituting:

arc AC = 2 * 73

arc AC = 146°

Answer:

I believe that the answer is B

Step-by-step explanation:

Answer:

1641.36 is how much he will pay for that stuff in one year

Step-by-step explanation:

$1641.36

Answer:

1641.36

Step-by-step explanation:

If the cost is 136.78 each month, and there are 12 months in a year, then 136.78*12 is the answer, which is equal to 1641.36.

Answer:

27 cubic meters

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Area of cube = 54 square meters

Let, Side = a

Then, Area of cube = 6[tex]a^{2}[/tex]

54 = 6 [tex]a^{2}[/tex]

[tex]a^{2}[/tex] = 9

a = 3

So, we can calculate the volume of cube by using following formula

Volume of cube = [tex]a^{3}[/tex]

By putting the value in the formula, we get

Volume of the cube = [tex]3^{3}[/tex]

= 27 cubic meters

Answer:

Step-by-step explanation:

P=a+b+c

Right scalene triangle.

Sides: a = 21   b = 8   c = 22.472

Area: T = 84

Perimeter: p = 51.472

Semiperimeter: s = 25.736

Angle ∠ A = α = 69.146° = 69°8'44″ = 1.207 rad

Angle ∠ B = β = 20.854° = 20°51'16″ = 0.364 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 8

Height: hb = 21

Height: hc = 7.476

Median: ma = 13.2

Median: mb = 21.378

Median: mc = 11.236

Inradius: r = 3.264

Circumradius: R = 11.236

Vertex coordinates: A[22.472; 0] B[0; 0] C[19.624; 7.476]

Centroid: CG[14.032; 2.492]

Coordinates of the circumscribed circle: U[11.236; -0]

Coordinates of the inscribed circle: I[17.736; 3.264]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 110.854° = 110°51'16″ = 1.207 rad

∠ B' = β' = 159.146° = 159°8'44″ = 0.364 rad

∠ C' = γ' = 90° = 1.571 rad

Answer:

7

Step-by-step explanation:

The leading coefficient of the given expression is 7.

A coefficient is a factor that is multiplied by a variable or a term in an expression. It can be a number or a symbol representing a constant value. For example, in 7x - 3y + 5, the coefficients are 7, -3, and 5.

Given that a quadratic function f(x) = 6-x+7x², we need to find the leading coefficient,

So, rearranging the terms in the function in standard form,

f(x) = 7x²+x-6

The leading coefficient is the coefficient of the term with the highest power or degree in a polynomial,

Here, the highest power coefficient is 7.

Hence, the Leading coefficient of the given expression is 7.

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Answer: Zero

Step-by-step explanation:

Answer: Zero

Step-by-step explanation:

Just did it on edg 2021

Answer:

x= 51.3

x=35.1

Step-by-step explanation:

10.)

For this one we have the adjacent side and the hypotonouse

Which means we'll use CAH

cos(x)=25/40

x= 51.31781255

(assuming that we have to round to the nearest tenth again)

x=51.3

12.)

For this one we have the adjacent and hyptonouse

we'll use CAH again

cos(x)=27/33

x= 35.09680123

x=35.1

Answer:

5. We can already tell from the looks of it that she is using a different number for pi throughout her answers. Therefore it is C

6. 2 x 3.14 x 4.9 = 30.772 rounded would be 31, C is your answer.       *formula of circumference:* pi(3.14 or 22/7 whatever they tell you to use for pi) x 2(its just always there when finding circumference) x radius(half of diameter or already given radius)

7. Let's just find the value of X on the top.

51(given degree) + 90(right angle degree) + X = 180(straight line degree)

51 + 90 + x = 180

141 + x = 180

-141      -141

X = 39

39 is the same to x beneath so therefore the value of x is 39 degrees.

Answer:

21cm^2

Step-by-step explanation:

Shaded area=square area- area of circle

Square area=10x10=100

Area of circle=pi r^2

d=2r=10

r=5

Area of circle =5^2pi=25pi=78.54≈79

Shaded area=100-79=21cm^2

Answer:

25

Step-by-step explanation: