how to solve 1.6 ÷ 4 on a number line

please show your work ​

If the odds of a horse winning a race are 2 to 1, then the probability of this horse winning the race is approximately 2/3 or 0.6667.  This can be calculated as 1 divided by the sum of the odds plus 1.

The odds of a horse winning a race are typically expressed in the form of "a to b", where a represents the number of favorable outcomes (winning) and b represents the number of unfavorable outcomes (losing). In this case, the odds are 2 to 1, which means there are 2 favorable outcomes (winning) for every 1 unfavorable outcome (losing).

To convert odds to probability, we use the following formula:

Probability = a / (a + b)

In this case, the probability of the horse winning the race can be calculated as:

Probability = 2 / (2 + 1) = 2 / 3 ≈ 0.6667

Therefore, the probability of the horse winning the race is approximately 2/3 or 0.6667.

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Answer:

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

Answer:

The correct answer is (d) 36 units.

Step-by-step explanation:

Just took the test on edge :)

The measure of UW is 36 units

From the question, a line has points U, V, W. If Point V lies between points U and W on Line segment U W, then;

UV + VW = UW

Given the following

VW = 4 x + 10.

UW = 9x – 9

UV = 2x - 4

Substitute

2x - 4 + 4x + 10 = 9x - 9

6x + 6 = 9x - 9

-3x = -15

x = 5

UW = 9x - 9

UW = 45 - 9

UW = 36 units

Hence the measure of UW is 36 units

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Given the marginal willingness to pay for oil, the constant marginal cost of extraction, and a discount rate of 1%, the oil reserve will last for approximately 10.8 periods.



To determine how long the oil reserve will last, we need to find the point at which the marginal cost of extraction equals the marginal willingness to pay for oil. In this case, the marginal cost is constant at $4 per unit. The marginal willingness to pay is given by the equation P = 7 - 0.40q, where q represents the quantity of oil extracted.

Setting the marginal cost equal to the marginal willingness to pay, we have:4 = 7 - 0.40q

Simplifying the equation, we get:0.40q = 3

q = 3 / 0.40

q ≈ 7.5So, at q ≈ 7.5, the marginal cost and marginal willingness to pay are equal. We can interpret this as the point at which the country would extract the oil until the quantity reaches 7.5 units. To determine how long this would last, we need to divide the total oil reserve (5 units) by the extraction rate (7.5 units per period):5 / 7.5 ≈ 0.67

Since the extraction rate is less than 1 unit per period, it means that the oil reserve will last for approximately 0.67 periods. However, the discount rate of 1% needs to be taken into account. To calculate the present value of the oil reserve, we discount each period's value. Using the formula for present value, we find that the oil reserve will last for approximately 10.8 periods.

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Answer:

\(\sf d = 121.0\)

given:

distance between two points formula:

\(\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

using the formula:

\(\sf d = \sqrt{(95 - 0)^2 + (5-80)^2}\)

\(\sf d = \sqrt{9025 + 5625}\)

\(\sf d = \sqrt{14650}\)

\(\sf d = 5\sqrt{586}\)

\(\sf d = 121.0\)

a. To calculate the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette, we can use the formula: Expected Value = (Probability of Winning * Amount Won) - (Probability of Losing * Amount Lost)

In this case, the probability of winning is 1/38, and the amount won is $350. The probability of losing is 37/38, and the amount lost is $10. Substituting these values into the formula, we get: Expected Value = (1/38 * $350) - (37/38 * $10)
Expected Value = $9.21 Therefore, the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette is $9.21. b. Based on the expected value from part a, it is not a good idea to play Roulette over and over again. The reason is that the expected value is positive but small. This means that on average, you will win $9.21 for every $10 you bet, but the variance in the game can cause you to lose money in the long run.
For example, if you play 100 rounds of Roulette with a $10 bet on number 12 each time, you would expect to win $921 on average. However, there is a significant chance that you could lose money over these 100 rounds. The more you play, the greater the likelihood of experiencing a losing streak that would offset your winnings.

Therefore, while playing Roulette can be fun and exciting, it is not a sustainable way to make money. The small expected value means that over time, the casino will always come out ahead.

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The probability that the person is over 40 given that he or she is a root beer drinker is 62.75%

The fact that

The ratio of the event space's size to the sample space's size represents an event's probability.

The total number of outcomes equals the size of the sample space.

The number of outcomes in the event you are interested in is the event space.

so

P = event space size divided by sample space size

step 1

determine the likelihood that the person is over 40 years old.

The sample size is 255.

event space size = 85

P=85/255------> P=1/3

step 2

determine the likelihood that they consume root beer.

The sample size is 255.

event space size = 75

P=75/255------> P=5/17

step 3

determine the likelihood that the individual is over 40 years old or that

They consume root beer.

so

P=(1/3)+(5/17)——-> P=(17*1+3*5)/51------> P=32/51-----> 0.6275——> 62.75%

therefore, the response is

32/51 or 62.75%

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Answer:

If she bought 2lbs of almonds, she bought 0.4lbs of raisins. If she bought  1lb of almonds, she can buy up to 2.36lbs of raisins. If she bought 0.64lbs of almonds, she can buy up to 1.9lbs of almonds.

Step-by-step explanation:

The total pounds of raisins bought  is 0.47 pounds.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Priya bought 0.47 pounds of raisins, Almonds cost is $5.20 per pound and Raisins cost $2.75 per pound.

The Total cost of almonds purchased = $5.20a

The Total cost of raisins purchased = $2.75r

Where:

a = total pounds of almonds bought

r = total pounds of raisins bought

The Total amount spent on raisins and almonds;  

5.20a +2.75r = 11.70

If 2 pounds of almonds are bought;

5.20(2) +2.75r = 11.70.

10.40 + 2.75r = 11.70

Combine similar terms;

2.75r = 11.70 - 10.40

2.75r = 1.30

Now Divide both sides of the equation by 2.75

r = 0.47 pounds

Hence, the total pounds of raisins bought  is 0.47 pounds.

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To grow a principal to $1800 in three years, two months at an 8.7% annual interest rate compounded monthly, you would need an initial principal of approximately $1,500.

To calculate the principal required to reach $1800 in three years, two months with monthly compounding at an 8.7% annual interest rate, we can use the formula for compound interest:

A = \(P(1 + r/n)^{nt}\)

Where:

A = the future value (in this case, $1800)

P = the principal

r = the annual interest rate (8.7% or 0.087)

n = the number of compounding periods per year (12 for monthly compounding)

t = the time period in years (3 years + 2/12 years)

Rearranging the formula to solve for P, we have:

P = A / \((1 + r/n)^{nt}\)

Plugging in the values, we get:

P = 1800 / \((1 + 0.087/12)^{12*(3 + 2/12)}\)

Calculating this expression, the required principal is approximately $1,500. This means that if you start with a principal of $1,500 and earn an 8.7% annual interest rate compounded monthly for three years and two months, you would accumulate $1800.

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Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

The expression of the verbal statement is 15 + 0.15m

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

The sum of 15 and 15% of a number m

15% of a number m means 0.15m

So, we have the following representation

The sum of 15 and 0.15m

Sum  mean plus

So, we have

15 + 0.15m

We can get the equivalent expression

So, we have the following representation

(30 + 0.3m)/2

Hence, the expression is 15 + 0.15m

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The probability of getting 5 in the number cube will be 1/6.

It should be noted that probability simply means the likelihood of an event.

When the number cube is rolled once, the sample space will be 1,2,3,4,5, and 6.

Since there are 6 numbers, the probability of getting 5 in the number cube will be:

= 1/6

The three even numbers are 2, 4, as 6. The probability of rolling an even number, P(even) will be:

= 3/6

= 1/2

The probability of rolling a number greater than 2, P(greater than 2) will be:

= 4/6

= 2/3

The probability model for rolling a number cube will be 1, 2, 3, 4, 5, 6.

The probability model is a uniform probability model as every outcome has equal probability.

The probability of rolling a number that is not a multiple of 3 will be:

= 4/6 = 2/3

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Answer: 24 square inches

Step-by-step explanation:

To get the whole area Multiply length x width

12 x 7 = 84

Now we get the area of the space in the rectangle

6 x 5 = 30 and multiply that by 2 since there are 2 spaces

in the rectangle.

30 x 2 = 60

84 - 60 = 24

Answer:

The solution I got is (4,2)

Step-by-step explanation:

When I plotted the equations on a graph, they intercepted at (4,2).

Answer:

y = x + 14

Step-by-step explanation:

y - 14 = x

y = x + 14

Answer:

\(\frac{1}{200}\)

Step-by-step explanation:

Find the derivative of the function when x=3

\(y=\sqrt{2(x-1)}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}\)

\(\frac{dy}{dx}=\frac{1}{\sqrt{4}}\)

\(\frac{dy}{dx}=\frac{1}{2}\)

Since the change in the value of the function is \(dy\) and we know that the change in x is \(dx=0.01\), then we have:

\(\frac{dy}{dx}=\frac{1}{2}\)

\(dy=\frac{1}{2}dx\)

\(dy=\frac{1}{2}(0.01)\)

\(dy=\frac{1}{200}\)

Therefore, the 2nd option is correct

Answer:29,000

Step-by-step explanation:Bantam Industries has budgeted the following information for March:

Cash receipts $ 271,000

Beginning cash balance 5,000

Cash payments 280,000

Desired ending cash balance 25,000

Answer:

Step-by-step explanation:

Let's start by using the trigonometric identity for the sum of two cosines:

cos(a) + cos(b) = 2 cos((a+b)/2) cos((a-b)/2)

We can apply this identity to the first two terms:

cos(pi/7) + cos(3pi/7) = 2 cos((pi/7 + 3pi/7)/2) cos((3pi/7 - pi/7)/2)

Simplifying the angles in the equation above:

cos(pi/7) + cos(3pi/7) = 2 cos(2pi/7) cos(pi/7/2)

Now we can apply the identity again to the second and third terms:

cos(3pi/7) + cos(5pi/7) = 2 cos((3pi/7 + 5pi/7)/2) cos((5pi/7 - 3pi/7)/2)

Simplifying the angles again:

cos(3pi/7) + cos(5pi/7) = 2 cos(4pi/7) cos(pi/7/2)

Notice that cos(4pi/7) is the same as cos(3pi/7 + pi/7) and we can use the identity again:

cos(4pi/7) = cos(3pi/7 + pi/7) = cos(3pi/7) cos(pi/7) - sin(3pi/7) sin(pi/7)

Substituting the expression for cos(4pi/7) and adding the two previous equations:

cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 2 cos(pi/7/2) [ cos(2pi/7) + cos(3pi/7) cos(pi/7) - sin(3pi/7) sin(pi/7) ]

Now we can use the identity cos(2a) = cos^2(a) - sin^2(a) to simplify the expression inside the brackets:

cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 2 cos(pi/7/2) [ cos(3pi/7) cos(pi/7) - sin(3pi/7) sin(pi/7) + cos^2(3pi/7) - sin^2(3pi/7) ]

The terms in the brackets can be simplified using the identity cos(pi/7) = cos(6pi/7) and sin(pi/7) = sin(6pi/7):

cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 2 cos(pi/7/2) [ cos(3pi/7) cos(6pi/7) - sin(3pi/7) sin(6pi/7) + cos^2(3pi/7) - sin^2(3pi/7) ]

cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 2 cos(pi/7/2) [ cos(3pi/7 - 6pi/7) + cos^2(3pi/7) - sin^2(3pi/7) ]

cos(pi/7) + cos(3pi/7) + cos(5pi/7) = 2 cos(pi/7/2) [ -cos(3pi/7) + cos^2(3pi/7) - sin^2(3pi/7) ]

Now we can use the identity cos^2(a)

8,16,24

Given:

the relation between number of sandwiches and time is :

y = 8x

where, y is number of sandwiches

x is time

For 1 hour,

y = 8*1

y = 8.

For 2 hour,

y = 8*2

y = 16.

For 3 hour,

y = 8*3

y = 24.

#123

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sandwiches eaten by Jimmy in consecutive hours are 8, 16, and 24.

Given info;

Jimmy consistently consumes sandwiches. The linear equation y = 8x represents the number of sandwiches(y) that he can consume in an hour(x).

To know how many sandwiches he ate in consecutive hours;

Case(1):

y = 8x

x = 1 hour

y = 8*1

  = 8

Case(2):

y = 8x

x = 2 hours

y = 8*2

  = 16

Case(3):

y = 8x

x = 3 hours

y = 8*3

  = 24

Therefore, sandwiches eaten by Jimmy in consecutive hours are 8, 16, and 24.

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Answer:

See answers below

Step-by-step explanation:

1) The typr of triangle in a semicircle is a right angle. Hence the measure of  m<ABC  is 90degrees

2) m<DEF = 1/2(144)

m<DEF = 144/2

m<DEF = 72degrees

3) From the trinagle

4x+3 + x+7 +90 ==180

5x + 100 = 180

5x = 180-100

5x = 80

x = 80/5

x = 16

<QRD =  x+7

m<QRD = 16 + 7

m<QRD = 23degrees

4)  Angle in the same segment are equal

5x-37= 3x+1

5x - 3x = 1+37

2x = 38

x = 38/2

x =19

arc NM = 2m<P

arc NM = 2(3x+1)

arc NM = 2(3(19)+1)

arc NM = 2(58)

arcNM = 116degrees

ok

Dimensions = 5 ft x 7 ft

Brick = 4 in x 12 in

1.- Convert ft to in

1 ft -------------------- 12 in

5 ft ------------------- x

x = (5 x 12) / 1

x = 60 in

1 ft -------------------- 12 in

7 ft -------------------- x

x = (7 x 12) / 1

x = 84 in

2.- Calculate the area of the wall

Area = 60 x 84

= 5040 in^2

3.- Calculate the area of a brick

Area = 4 x 12 = 48 in^2

4.- Divide the area of the wall by the area of the brick

Number of bricks = 5040 / 48

= 105

There will be 105 brick on the wall.

Answer:

crazy daisy is ai fake its gonna be a link

Step-by-step explanation:

Without more information and statistical analysis, it is difficult to determine whether the data provide convincing evidence that the average GRE verbal reasoning score has changed since 2004.

To determine whether the average GRE verbal reasoning score has changed since 2004, we would need to conduct a hypothesis test. We could set up a null hypothesis that the population mean for the verbal reasoning score has not changed since 2004, and an alternative hypothesis that the population mean has increased.

Assuming a normal distribution of scores, we could use a two-sample t-test to compare the means of the two populations (scores from 2004-2007 and scores from 2011). We would need to collect a random sample of scores from both time periods and calculate the sample means and standard deviations.

Without knowing the sample size or standard deviation of the 2011 scores, it is difficult to determine whether the difference in average scores is statistically significant. However, if the sample sizes are large enough and the difference in means is significant, then we could conclude that there is convincing evidence that the average GRE verbal reasoning score has changed since 2004.

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Answer:

still

Step-by-step explanation:

still thinking sorry

Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer:

13. you have to divide the numbers. hope this helps.

Answer:

-4

Step-by-step explanation:

look at the screenshot

324 is the maximum value of the product of these three numbers

What is maxima and minima?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.

The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.

Let the three nonnegative numbers are x,y,z

According to the question

x+y+z=36

and y=2x

therefore, 3x+z=36--------------------------------------------------(1)

z=36-3x

Let 3xz= u--------------------------------------------------------------(2)

differentiating equation 2

du/dx=3z + 3xdz/dx

or

du/dx= z + xdz/dx

differentiating equation 1

3 + dz/dx = 0

dz/dx = -3

du/dz = 36-3x + x(-3)

du/dx = 12 - 2x--------------------------------------------------------------(3)

for maxima put du/dx = 0

x=6-------------------------------------------------------------------------------(4)

again differentiating du/dx = 12 - 2x

d2u/dx2=-2

which means 3xz= u is maximum at x=6

from equation 1 and 4

we get 18+z=36

z=18

Therefore 3xz= 3(6)(18)=324

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rectangular prism is correct