3 different two-digit numbers are selected and multiplied together. the probability that the product is even is where are relatively prime. what is

Answers

Answer 1

Probability of an even number product as requested = 7/10 = .7 = 70%

The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Combinations of 2 digits from among 5 = 5!/(3!)(2!) = 10. Those combinations of 2 digits resulting in an even number product are even*even and even*odd. There are 2 even digits, (2,4), and 3 odd digits, (1,3,5).

Combinations of 2 even digits and 3 odd digits = 3*2 = 6. Combinations of 2 even digits = 1*1 = 1. there are thus 6+1 = 7 distinct 2 digit products that result in even numbers from among 10 possible 2 digit products.

Probability of an even number product as requested = 7/10 = .7 = 70%

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Related Questions

Please help fast :(

Answers

Answer:

1/2

1/4

1/4

0/16

2 times

Step-by-step explanation:

THERE ARE 16 SQUARES TOTAL

8 triangles: 8/16 = 1/2

4 stars: 4/16 = 1/4

4 empty spaces: 4/16 = 1/4

0 circles = 0/16

8*1/4 is 2, so 2 times.

a line passes through the points (4, 13) and (2, 5). What is it’s equation in slope intercept form

Answers

Answer:

y = 4 x - 3

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (4, 13)

point: p_2 = (2, 5)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (5 - 13)/(2 - 4) = (-8)/(-2) = 4

Substitute the slope m = 4 and point (x_1, y_1) = (4, 13) into the point-slope equation y - y_1 = m (x - x_1):

y - 13 = 4 (x - 4)

Add 13 to both sides:

y = 13 + 4 (x - 4)

Distribute: 4 (x - 4) = 4 x - 16:

Answer:  y = 4 x - 3

one diagonal of a rhombus has endpoints (-10, 1) and (2, 9). what are the endpoints of the other diagonal?

Answers

The endpoints of the other diagonal are (-2, 2) and (-6, 8).

Distance formula, Algebraic expression that gives the distances between pairs of points in terms of their coordinates (see coordinate system). In two- and three-dimensional Euclidean space, the distance formulas for points in rectangular coordinates are based on the Pythagorean theorem.

Given we have a rhombus with endpoints (-10, 1) and (2, 9)

So as we already know, a rhombus is a parallelogram whose sides are equal, so the distance from say (-10, 1) to either endpoint of the other diagonal must be the same.

Distance between 2 points [tex]$\mathrm{d}=\sqrt{[-2-(-10)]^2+[2-1]^2} \Longrightarrow d=\sqrt{(-2+10)^2+(2-1)^2}$$\mathbf{d}=\sqrt{\mathbf{6 4 + 1}} \Longrightarrow d=\sqrt{65}$[/tex]

While solving with other coordinate we get [tex]$\mathbf{d}=\sqrt{(-6+10)^2+(8-1)^2}[/tex]

[tex]$\mathrm{d}=\sqrt{16+49}\\\Longrightarrow d=\sqrt{65}$[/tex]

So therefore the endpoints of the other diagonal are (-2, 2) and (-6, 8) .

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8×138
I got the Answer but I'm not sure
(tell if it is true or not ,if not pls tell the answer plsss)​

Answers

Answer:

Did you mean 138/8?

If so, 17.25 is correct.

Answer:

hope it helps you

Step-by-step explanation:

thankss :) if its wrong let me know

Anika spent $38 on 9.5 gallons of fruit punch. What is the cost per gallon? p= w= %=​

Answers

The required cost of the punch is $4 per gallon.

Given that,
Anika spent $38 on 9.5 gallons of fruit punch.
To determine what is the cost per gallon.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total volume purchased = 9.5 gallons
Total cost = $38
Now,
The ratio of the total cost of punch to the volume of fruit punch purchases the total cost will give as the cost per gallon. So,
cost per gallon = 38 / 9.5
                      = $4 per gallon

Thus, the required cost of the punch is $4 per gallon.

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Find the value of j. Show all steps to the solution and give reason to your calculations

Answers

Answer:

j=50°

Step-by-step explanation:

10x-20=5x-3+4x-2( ext angle of ∆)

10x-5x-4x=-3-2+20

x= 15

substitute the value if x

10(15)-20+ j=180 ( sum of angles in straight line)

130+j=180

j=180-130

j=50°

diamond problem for -2 and -5

Answers

Step-by-step explanation:

if I understand you correctly, then let's call the missing numbers l, r (for left and right).

and

-2 = l × r

-5 = l + r

l = -r - 5

therefore,

-2 = (-r - 5) × r = -r² - 5r

that gives us the quadratic equation

-r² - 5r + 2 = 0

for the general solutions

x = (-b ± sqrt(b² - 4ac))/(2a)

we have here

a = -1

b = -5

c = 2

and x = r, of course

r = (5 ± sqrt(25 - 4×-1×2))/(2×-1) =

= (5 ± sqrt(25 + 8))/-2 = (5 ± sqrt(33))/-2

r1 = (5 + sqrt(33))/-2 = -5.372281323...

r2 = (5 - sqrt(33))/-2 = 0.372281323...

as l = -r - 5, we see that r1 = l2, and r2 = l1.

but these are the only solutions.

there are no integer number solutions.

15. Write an equation and solve the equation to find the value of x so that the triangles have the same perimeter.

Triangle 1: 5,x-4,x-5

Triangle 2: 10,16,x-10

Answers

The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20

The perimeter of a triangle is calculated by the summation of all the sides of a triangle

It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle

Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10

Further solving the equation to calculate the unknown variable x

5 + x - 4 + x - 5 = 10 + 16 + x - 10

2x - 4 = x + 16

2x - x = 16 + 4

x = 20

The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2

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Absolute Value


7 |dl = 49

Answers

If I read this correctly, 7 times 7 equals 49. Since it wants the absolute value, the answer is d= - 7, 7

Does 44,555 and 45,555 round to 50,000?

Answers

45,555 does, but the other one doesn't.

Yesterday, between noon and midnight, the temperature dropped by 28.4°F. If the temperature was -1.9°F at midnight, what was it at noon?

Answers

Answer:

n= 26.5

Step-by-step explanation:

Comment

You need some sort of formula for this question. But you more or less have to invent it.

Formula

Temperature midnight = noon - temperature drop

Givens

temperature drop = 28.4

temperature midnight = -1.9

Temperature noon = x

Solution

-1.9 = x - 28.4                       Add 28.4 to both sides

-1.9 + 28.4 = x-28.4+28.4    Combine

Answer

26.5 = x

Robert is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 25° per minute after being turned on. What is the temperature of the oven 10 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?

Answers

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be 65 + 25t

How to compute the value?

The temperature of the oven 10 minutes after being turned on will be:

= 65 + (25 × t)

where t = number of minute

= 65 + (25t)

= 65 + 25(10)

= 65 + 250

= 315°

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be:

= 65 + (25 × t)

= 65 + 25t

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0.5(7d+4)=7−1.5d ..............................

Answers

Answer:

d=1

Step-by-step explanation:

First let's simplify the first equation, 0.5(7d+4) by applying the distributive property

0.5(7d+4)

(0.5 x 7d) + (0.5 x 4)

3.5d+2


Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left

3.5d+2 = 7-1.5d

3.5d+2+1.5d=7

5d+2=7

Move all terms not containing d to the right side of the equation

5d+2=7

5d=7 -2

5d=5

Finally, divide each term by 5 to simplify

5d/5 = 5/5

d=1

bernardo randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ and arranges them in descending order to form a 3-digit number. silvia randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8\}$ and also arranges them in descending order to form a 3-digit number. what is the probability that bernardo's number is larger than silvia's number? (a) $\frac{47}{72}$ (b) $\frac{37}{56}$ (c) $\frac{2}{3}$ (d) $\frac{49}{72}$ (e) $\frac{39}{56}$

Answers

Answer:

Step-by-step explanation:

hii ,myself neha and I love animals , that's why I love my friends .

Answer:

finding if kg DJ of CM ignor

Step-by-step explanation:

9. If AB= 25, AN= 2x-6, and NB = x + 7, find x, AN and NB.
2+
N

Answers

The value of x is equal to 8 and the values of AN and NB are 10 and 15 respectively.

The three points A, N and B are collinear, and N is between A and B. Collinear points are defined as set of those points which lie on the same line when plotted.

If A, N and B are collinear then,

AB = AN + NB

According to question, AB = 25, AN = 2x-6 and NB = x+7 thus,

25 = 2x-6 + x+7

25 = 3x + 1

24 = 3x

=> x = 24/3

=> x = 8

Now, AN = 2x-6 = 16-6 = 10

NB = x+7 = 8+7 = 15

Thus, the values of x, AN and NB are 8, 10 and 15 respectively.

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Write an equation in slope intercept form for the line that is parallel to y= 2/5x-2 and passes through the point (-20,-7). Show your work (PLEASE ANSWER ASAP)

Answers

Answer:

y = 2/5x + 1

Step-by-step explanation:

If two lines are parallel, their slopes are equal

so the slope would be 2/5

if y = -7, x = -20, m = 2/5

slope-intercept form:

y = mx + b

-7 = 2/5(-20) + b

-7 = -8 + b

b = 1

then y = 2/5x + 1

Subtracting 5 from a number and then squaring the result gives the result 16. how to solve . please help​

Answers

[tex](x-5)^2=16\\x-5=4 \vee x-5=-4\\x=9 \vee x=1[/tex]

Correct to 2 decimal places, the volume of a solid cube is 3.37 m³. Calculate the upper bound for the surface area of the cube.​

Answers

the upper bound for the surface area of the cube.​ is 14 m².

Volume of cube = 3.37 m³

We know the formula is:

V = a³ (where a is the side of the cube)

a³ = 3.37 m³

Cube rooting both the sides, we get that:

a = ∛3.37 m

Surface area will be:

A = 6 a²

A = 6 (∛3.37 m)²

A =6 (2.25 m²)

A = 13.5 m²

A ≈ 14 m²

Therefore, we get that, the upper bound for the surface area of the cube.​ is 14 m².

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what is the distance between (-2.63, 7),(1.85,7)

Answers

The distance between the points is 4.48

What is the distance between the points?

The coordinates of th points are given as:

(-2.63, 7) and (1.85,7)

The distance between the two points is calculated using

d = √(x2 - x1)^2 + (y2 -y1)^2

So, we have

d = √(-2.63 - 1.85)^2 + (7 - 7)^2

Evaluate

d = 4.48

Hence, the distance between the points is 4.48

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A restaurant had 9 days to sell 56 gallons of ice cream before it expired. How much should they sell each day?

5 gallons
5 gallons

6 6/4 gallons
6 6/4 gallons

6 1/2 gallons
6 1/2 gallons

6 2/9 gallons

Answers

Answer:

6 2/9

Step-by-step explanation:

56 divided by 9 is 6.22 and 2/9 is .22

The restaurant should sell 6 2/9 gallons of ice cream each day. Because,
56/9 = 6.22222222222222222…..
And,6.2222….. is equal to 6 2/9

In a recent year, 17.3% of all registered doctors were female. If there were 41,000 female registered doctors that year, what was the total number of registered doctors?

Round your answer to the nearest whole number. PLEASE HELP DUE IN 30 MINUTES!!!

Answers

The total number of registered doctors are estimated as 236,995.

What is meant by percentage?

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; thus, 100 percent signifies the entire amount and 200 percent specifies twice this same given amount.

The concept of cumulative percentage (percentile) is widely used in statistics. For example, a student who achieves the 83rd percentile on an investigation has outperformed 83 percent of the students with and who a comparison is made. The likelihood of an event occurring can be expressed as a percentage. (or fraction).

Now, as per the given question;

It says, from all the registered doctors 17.3% is female doctors.

Now, let use assume that the total number of registered doctors be 'x'.

Then, 17.3% of this x will give 41,000 female doctors.

So, the equation will form as;

17.3% of x = 41,000

Or, (17.3×x)/100 = 41,000

x = (41,000×100)/17.3

x = 236,994.21

x = 236995 (nearest whole number)

Therefore, the total number of the registered doctors are estimated as 236995.

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The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.961.96 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

61.96 inches.

Step-by-step explanation:

there are 300 pages in a workbook. every chapter has 25 pages. which equation can be solved to find how many chapters are in the workbook?

Answers

Number of chapters in the workbook = 12  

What  is a linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear.

Total number of pages = 300

1 Chapter = 25 Pages

Divide 300 by 25 to figure out the total number of chapters in the workbook.

Number of chapters in the workbook = 300/25 = 12

Therefore, Number of chapters in the workbook = 12

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this should be EASY! just got a load of easy homework big its A LOT someone help

Answers

Answer: 1053.7225

Step-by-step explanation:

Make x the subject of the formula

m=x+y/n

HELPPP

Answers

Answer: x=m-y/n

Step-by-step explanation:

The expression with x as the subject is x = mn - y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m = (x + y) / n

x as the subject means we have to solve for x.

Now,

m = (x + y) / n

Multiply both sides by n.

mn = x + y

Subtract y on both sides.

mn - y = x

x = mn - y

Thus,

x = mn - y.

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Can someone help me please?​

Answers

Answer:

112

Step-by-step explanation:

Both angles are vertical angles

so x + 84 = 4x

3x = 84

x = 84/3 = 28

x + 84 = 28 + 84

now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of the vector n and the angle θ , with the components separated by a comma.

Answers

The components are Nx= Ncosθ  and Ny= -Nsinθ

What is a Vector?

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

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A waiter earned $69.81 on a shift, and then bought himself a discounted meal for
$4.75. How much did he have left over, to the nearest dollar?
He had about $

Answers

Answer:$65

Step-by-step explanation:69.81-4.75=65.06

65.06->65

help please
0.1 - 4.37

Answers

Answer:

-4.27

Hope this helps.

Step-by-step explanation:

Because the negative number ( - 4.37 ) is bigger than 0.1, the answer is going to end up negative. You can swap sides on the equation to become         - 4.37 + 0.1,  in which case is 4.36 - 0.1  but you have to remember to add the negative sign afterward.

suppose you have an argument that has three premises, all of which are true, and a true conclusion. if so, then the argument must be

Answers

The conclusion might be accurate or inaccurate.

The conclusion could be true or false if an argument has some true premises and some false premises and is valid. You only know that the premises cannot both be true and the conclusion must be false because the argument is sound. But the incorrect premises already rule out the possibility of possessing this set of truth values (that is, you cannot have all true premises). As a result, the argument's validity is unaffected whether the conclusion is true or untrue. As a result, the conclusion of an argument that contains only false premises may or may not be true.

Can an argument have all true premises and a false conclusion?

TRUE. A valid argument cannot, by definition, have a false conclusion and all true premises.

Therefore, a valid argument must have an erroneous premise if it has a false conclusion.

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