what is 4 3/8 - 5 1/2 ?

The value of x is approximately 8.4.To find the value of x, we can use the fact that CD is parallel to BE to establish a relationship between the corresponding sides of the two triangles formed.

Based on the given information, we have:

DC = 4x - 11

BE = 6

AD = 15

ED = 4

Using the corresponding sides in the triangles, we can set up a proportion:

AD/ED = CD/BE

Substituting the known values:

15/4 = (4x - 11)/6

Now we can cross-multiply to solve for x:

6 * 15 = 4 * (4x - 11)

90 = 16x - 44

Adding 44 to both sides:

134 = 16x

Dividing both sides by 16:

x = 8.375

Rounded to the nearest tenth, x ≈ 8.4.

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Answer: To calculate the expected value, we need to multiply each possible outcome by its probability and then add up the results.

The probability of selecting a gold marble is 3/41, the probability of selecting a silver marble is 8/41, and the probability of selecting a black marble is 30/41.

The winnings/losses associated with each outcome are $3 for gold, $2 for silver, and -$1 for black.

Step-by-step explanation:

Therefore, the expected value can be calculated as follows:

(3/41) x $3 + (8/41) x $2 + (30/41) x (-$1)

= $0.073

The expected value is $0.073, which means that on average, you can expect to win $0.073 per game if you play this game many times.

Therefore, if you play this game, you can expect to win a small amount of money on average, but it is not a guaranteed win.

References:

Grinstead, C.M. and Snell, J.L. (2006). Introduction to Probability. American Mathematical Society.

"Expected Value," Investopedia, accessed May 14, 2023, https://www.investopedia.com/terms/e/expectedvalue.asp.

Answer:

Step-by-step explanation:

a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84  mean

b) (72 + 78 + 80 + 85 + 85 + 92 + 96)                         85  median

     1       2      3      4       3       2     1

c) (72 + 78 + 80 + 85 + 85 + 92 + 96)                          85 mode

    1        1       1           2           1       1

d) the sum of the difference of median and scores is greater below the median than it is above the median

e)  (588 + 100) / (7 + 1)    =    688/8     =                      86

Answer:

× = 2 i don't know if that's what you were asking for but here's this...

Answer:

45

Step-by-step explanation:

translation :

140% of x = $63

x = $63 ÷ 1.4

x = $45

FUN FACTS :

interesting: 100% means double that number or times 2

if a price is $20 & it increases 100% in price that means its $20 times 2 or $40

percent means per 100

cent means 100 in latin

that's why the decimal moves 2 spaces

for the 2 zeros in 100

chatgpt

By applying a change of units, we will see that the price is 4.73 dollars per gallon.

Here we know that the price of gasoline is $1.25 per liter, and we want to write the price in dollars per gallon, so we need to apply a change of units.

We know that:

1 liter = 0.264 gallon

(1 liter)/(0.264 gallon) = 1

Notice that in the price, the quantity "liters" is on the denominator, then we can write:

price = 1.25 dollars/liter = (1.25 dollars/liter)*(1 liter)/(0.264 gallon)  = 4.73 dollar/gallon

So the price is 4.73 dollars per gallon.

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there is no difference in the values of Time for Idil or Sophie in that their amount will be tripled.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Idil invested $150 in an account paying an interest rate of 5.785% compounded annually. Sophie invested $150 in an account paying an interest rate of 5.625% compounded continuously.

From the general formula of compound interest:

Final value A = (1 + r/n)^nt,

where P is the principal balance

r is the interest rate

n is the number of times interest is compounded annually

t is the number of years,

For Idil,

P = 150, r = 5.782, A = 3*p = 450, and n = 1

Thus,

450 = 150 (1 + 5.785%)^t

3 = (1.05785)^t

t = 19.535 years

The time required to get a total amount of $450.00 with compounded interest on a principal of $150.00 at an interest rate of 5.785% per year and compounded 1 time per year is 19.535 years.

(about 19 years 6 months)

For Sophie,

P = 150, r = 5.625, A = 3*p = 450

First, convert R as a percent to r as a decimal

r = R/100

r = 5.625/100

r = 0.05625 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(450.00/150.00) / 0.05625

t = 19.531 years

The time required to get a total amount of $450.00 with compounded interest on a principal of $150.00 at an interest rate of 5.625% per year and compounded continuously is 19.531 years.

(about 19 years 6 months)

therefore, there is no difference in the values of Time for Idil or Sophie.

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Answer:

Step-by-step explanation:

\(\rm\Large\red{\underline{Required\:Solution:}}\)

\( \implies4( - 7) = 4 \times - 7 = \bf- 28\)

─━─━─━─━─━─━─━─━─━─━─━─

Answer:

Opposite/Adjacent

Step-by-step explanation:

SOH CAH TOA

Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

hope it helps

Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

Answer:

None

Step-by-step explanation:

The discriminant of a quadratic equation is \(b^2-4ac\). In this case, that is:

\((-4)^2-4(3)(9)=16-108=-92\)

Since the discriminant is negative, the square root will be a complex number, and this equation must have no real solutions. Hope this helps!

Answer:

Step-by-step explanation:

Step 1: Divide the volume of the water bottle by 3.14.

Volume / 3.14 = 110cm^3 / 3.14

Step 2: Divide the quotient by the height of the water bottle in cm.

(110cm^3 / 3.14) / 7.8 =

Step 3: The quotient of the two numbers is the radius of the water bottle in cm.

14.064516129 cm

"Nathan rolls a number cube and records the result of each roll in the table" is a true statement. Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

"He spun a 4 five times." is not a valid statement, as it is not clear what "he" or "a 4" refers to.

A valid probability distribution is a set of possible outcomes of a random event, along with the corresponding probabilities of those outcomes occurring. For example, if we roll a number cube, the possible outcomes are 1, 2, 3, 4, 5, and 6, and the probability of each outcome occurring is 1/6.

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Answer:

13) x = 19

14) x = 12.4

Step-by-step explanation:

So, for 13, we know that the whole thing is 90 degrees, a right angle.

So, (4x - 17) + 31 = 90

Now, we'll subtract 31 from 90 to figure out the other angle.

4x - 17 = 59

Now, add seventeen to both sides to get 4x alone...

4x = 76

Divide each by four!

x = 19

Now, to check, we plug this x value into our first equation:

(4(19) - 17) + 31 = 90

(76 - 17) + 31 = 90

(59) + 31 = 90

90 = 90 :: true!

________________________________________

For 14, we know that the total must be 180, because it's a straight angle.

So, (5x + 22) + 96 = 180  
Again, subtract the known angle from each side:

5x + 22 = 84

Subtract 22 from each side to get the exponent by itself...

5x = 62

Divide each side by 5:

x = 12.4

Now, plug it in to check.....

(5*12.4) + 22 + 96 = 180

62 + 22 + 96 = 180

84 + 96 = 180

180 = 180 :: true!

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

To solve this question, use the Binomial probability formula.

The formula is given by

Where:

n = the number of trials

x = the sample we aim to try

p = the probability of success

In this question:

n = 16

x = 9

p = 0.5

Substituting in the equation:

And the combination formula:

Then:

Answer: The probability is 0.1746.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

1. 13

2.9

jauwiwiwijqiwiw9q9qiwsb sorry can't do step bu step way tooooooooo long

In the triangle Point C is the orthocenter then the value of x will be equal to 42.

The intersection of the cutting point of the triangle's three elevations is known as the orthocenter. The height in this instance is indeed the line to be drawn from the triangle's apex that is perpendicular to the other side.

As per the given diagram and data in the question,

The orthocenter is at Point C.

C = 3x - 36

3x - 36 = 90

3x = 90 + 36

3x = 126

x = 126/3

x = 42

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Answer: 18 cm

Step-by-step explanation:

if you mesuare all of the sides that is what you get

Answer: y=6x-1

Step-by-step explanation:

y=6x-1

x represents the time luke has been riding(hours) and the y represents the distance he has travelled (miles)

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

$341.00

Step-by-step explanation:

"$ 18.00 each month."

$18.00*$12.00=$216.00

$216.00+$125.00=$341.00

hope this helpes

be sure to give brainliest