Am I multiplying here to get 8 as the answer? Or add?

Answer:

-4/5 this is because 5 can't be simplified and 4/5 is like 8 out 10 but simpler and has a negative.

For the given probability distribution for Benford's Law the probability of the first digit being less than 4 is 0.602.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Each individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each potential value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample. Probability is a number that ranges from 0 to 1 and expresses the likelihood of an event.

From the given table we observe that the probability of first digit less than 4 is given as:

P (less than 4) = P(1) + P(2) + P(3)

P (less than 4) = 0.301 + 0.176 + 0.125

P (less than 4) = 0.602

Hence, for the given probability distribution for Benford's Law the probability of the first digit being less than 4 is 0.602.

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Answer:

0.097

Step-by-step explanation:

khan

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

Answer:

Im going guess were assuming he starts with 0 dollars in his account

0

-135

-80

but if his balance is represented by x

x-135

x-80

-80

x-80

Hope This Helps!!!

Answer:

x = 155

Step-by-step explanation:

Answer:

We have 300 edges and 200 vertices

Step-by-step explanation:

A prism is basically a 2D shape which extends into three dimensions. Thus, it has two end faces, and one face for each side on the original shape.

In addition to the two 100-sided polygons at top and bottom, the prism will also have 100 rectangular faces.

We will solve this by Euler’s formula which ks:

V - E + F = 2

where;

V is the number of vertices (corners),

E is the number of edges

F is the number of faces (of any polyhedron).

Number of vertices is 100 surrounding the top while it's 100 at the bottom. So total V = 100 + 100 = 200 .

The number of edges is 100 at the top, and 100 at the bottom. Also an additional 100 separating the hundred vertical faces.

Total number of edges is;

E = 100 + 100 + 100 = 300.

Thus, we have 300 edges and 200 vertices

We can identify the lower extreme (min), upper extreme (max), first quartile (Q1), second quartile (Q2) and third-quartile (Q3) in the box-plot as:

The box-plot always represent this values in the same way (with different numeric values for each case).

Answer:

1, 15, 6.5, 8 [Second option]

Answer:

B. 2/3 because the probability of selecting a quarter is 1/3

Step-by-step explanation:

Find the total coins in the purse: 10 + 6 + 5 + 9 = 30. Now find out how many are not quarters: 10 are quarters, 30 - 10 = 20. The probability is 20/30, or 2/3,

Answer:

345897

Step-by-step explanation:

423786945

Answer:

\(2x^3 + 5x^2 -x -6\)

Step-by-step explanation:

Given

\((2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2)\)

Required

The simplified product

We have:

\((2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2)\)

Open bracket

\((2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 2x^2 -4x + 3x^2 + 3x -6\)

Collect like terms

\((2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 2x^2+ 3x^2 -4x + 3x -6\)\((2x)(x^2) + (2x)(x) + (2x)(-2) + (3)(x^2) + (3)(x) + (3)(-2) = 2x^3 + 5x^2 -x -6\)

Hence, the simplified product is: \(2x^3 + 5x^2 -x -6\)

Answer:

Angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

Step-by-step explanation:

Answer:

1: -2

2: -3

(-2,-3)

Step-by-step explanation:

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:

Step-by-step explanation:

1/3(12x - 24) = 16

12x - 24 = 16 (3)

12x = 48 + 24

x = 72 / 12

x = 6

Answer:

B- 6

Step-by-step explanation:

Hope this helps :)

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

The image coordinates of K′ if the preimage is reflected across y = −7 is (-4, -8)

Based on the given question, we have certain variables that can be utilized for our calculations.

K = (-4, -6)

First, find the equation of the reflection line

The reflection line is y = -7.

This can be expressed as

y = a = -7

The image of the reflection is then calculated as

K' = (x, -(y + 2|a|))

Replace the given or established values in the equation mentioned earlier, resulting in the following expression

K' = (-4, -(-6 + 2 * 7))

Evaluate

K' = (-4, -8)

Hence, the image coordinates of K′ are (-4, -8).

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The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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The graph of the solution to the given inequality on the number line plotted is attached.

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is q < 69.5​.

The result can be shown in multiple forms.

Inequality Form:q<69.5

Interval Notation:(−∞,69.5)

Therefore, the graph the solution to the given inequality on the number line plotted below.

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To solve the exercise, we find the area of the rectangle. Then we subtract the area of the semicircle.

The formula to find the area of a rectangle is:

Then, we have:

The formula to find the area of a semicircle is:

The radius is equal to half of the diameter. Then, we have:

Finally, we subtract the areas:

Therefore, the area of the remaining paperboard is 514.03 square inches.

Answer:

719010

Step-by-step explanation:

It would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

To find out how long it would take 10 men to dig the same hole if they work at the same rate, we can use the concept of man-hours.

We are given that 8 men can dig the hole in 9 hours.

This means that the total man-hours required to complete the task is 8 men \(\times\) 9 hours = 72 man-hours.

Since the number of men has increased to 10, we need to determine the new time it would take for them to complete the task at the same rate.

If we assume that the work rate remains constant, the total man-hours required to dig the hole would still be the same, which is 72 man-hours.

To find the new time, we divide the total man-hours by the number of men:

72 man-hours / 10 men = 7.2 hours.

Therefore, it would take 10 men approximately 7.2 hours to dig the hole if they work at the same rate.

Note: It's important to keep in mind that this calculation assumes a linear relationship between the number of men and the time taken.

In practice, other factors such as coordination and efficiency may come into play, potentially affecting the actual time required.

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Answer: Show the table

Step-by-step explanation:

SHow the table

The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the erroneous belief that if a particular event occurs more frequently than normal during the past it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the past. Such events, having the quality of historical independence, are referred to as statistically independent. The fallacy is commonly associated with gambling, where it may be believed, for example, that the next dice roll is more than usually likely to be six because there have recently been fewer than the usual number of sixes.

The term "Monte Carlo fallacy" originates from the best known example of the phenomenon, which occurred in the Monte Carlo Casino in 1913.[1]

Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.

Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.

With this, do:

360-90-125 = 145

to get the amount of arc in the unknown area.

Still though, we need to find the x value, so get the unknown value and set it equal to 145.

16x + 1 = 145

16x + 1-1 = 145-1

16x=145

x = 9.0625 or 9 1/16

Hope that helps.

In a poker hand consisting of 5 cards,

a) The probability of holding 3 aces in a 5-card poker hand is 4,512/2,598,960 ≈ 0.001736.

b) The probability of holding 4 hearts and 1 club in a 5-card poker hand is 9,295/2,598,960 ≈ 0.00357

(a) To find the probability of holding 3 aces in a 5-card poker hand, we need to count the number of ways to select 3 aces from the deck and the number of ways to select 2 non-aces from the remaining 49 cards, and then divide the product by the total number of 5-card hands.

The number of ways to select 3 aces from the deck of 4 aces is 4C3 = 4, since there are 4 aces in the deck.

The number of ways to select 2 non-aces from the remaining 48 cards is 48C2 = 1,128, since there are 48 non-aces in the deck and we need to select 2 of them.

Therefore, the total number of ways to get a hand with 3 aces and 2 non-aces is 4 x 1,128 = 4,512.

The total number of 5-card hands is 52C5 = 2,598,960,

since there are 52 cards in the deck and we need to select 5 of them.

Therefore, the probability of holding 3 aces in a 5-card poker hand is 4,512/2,598,960 ≈ 0.001736.

(b) To find the probability of holding 4 hearts and 1 club in a 5-card poker hand, we need to count the number of ways to select 4 hearts from the deck of 13 hearts, the number of ways to select 1 club from the deck of 13 clubs, and then divide the product by the total number of 5-card hands.

The number of ways to select 4 hearts from the deck of 13 hearts is 13C4 = 715, since there are 13 hearts in the deck and we need to select 4 of them.

The number of ways to select 1 club from the deck of 13 clubs is 13C1 = 13, since there are 13 clubs in the deck and we need to select 1 of them.

Therefore, the total number of ways to get a hand with 4 hearts and 1 club is 715 x 13 = 9,295.

The total number of 5-card hands is 52C5 = 2,598,960, since there are 52 cards in the deck and we need to select 5 of them.

Therefore, the probability of holding 4 hearts and 1 club in a 5-card poker hand is 9,295/2,598,960 ≈ 0.00357 .

In a poker hand consisting of 5 cards,

a) The probability of holding 3 aces in a 5-card poker hand is 4,512/2,598,960 ≈ 0.001736.

b) The probability of holding 4 hearts and 1 club in a 5-card poker hand is 9,295/2,598,960 ≈ 0.00357.

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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