Any help appreciated

The probability that the sum of all the top faces is divisible by 6 is 1/6.

1.This is because there are six possible outcomes when the dice are thrown, and only one of these outcomes (where the sum of the top faces is divisible by 6) has a probability of 1/6.

2.The other five outcomes have a probability of 0.
3.To explain this further, consider the following example: if we throw 10 dice, the possible outcomes are 6^10, or 6,561 outcomes. Of these 6,561 outcomes, only 1,089 will result in a sum of the top faces that is divisible by 6.

4.Therefore, the probability that the sum of all the top faces is divisible by 6 is 1,089/6,561, or 1/6.

To know more about probability here

https://brainly.com/question/30034780

#SPJ4

There are 49 distinct ordered pairs of positive integers (x, y) such that the least common multiple of x & y is 1,000.

The least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm, is the smallest positive integer that is divisible by both a and b.

Given that, how many distinct ordered pairs of positive integers (x, y) such that the least common multiple of x & y is 1,000,

1000 = 10³ = 2³×5³

Therefore, we get:

x = 2ᵃ×5ᵇ

y = [tex]2^c[/tex]×[tex]5^d[/tex]

where

0 ≤ a, b, c, d ≤ 3

a or c = 3

b or d = 3

To figure out the number of distinct ordered pairs  (x, y), we need to find the distinct number of ordered quadruples  (a, b, c, d)

there are.

Case  1 : Exactly  2 of  a, b, c, d = 3

a = b = 3, c = 0, 1, 2, d = 0,1,2

a = d=3, b = 0, 1, 2, c = 0,1,2

c = b = 3, a = 0, 1, 2, d = 0, 1, 2

c = d = 3, a=0, 1, 2, b = 0, 1, 2

4(1×1×3×3) = 36

Case 2 : Exactly 3 of  a, b, c, d = 3

a = b = c = 3, d = 0, 1, 2

a = b = d = 3, c = 0, 1, 2

a = c = d = 3, b = 0, 1, 2

b = c = d = 3, a = 0, 1, 2

4(1×1×1×3) = 12

Case 3 : Exactly 4 of a, b, c, d = 3

a = b = c = d = 3

1(1×1×1×1) = 1

Total  =36+12+1=49

Hence. there are 49 distinct ordered pairs of positive integers (x, y) such that the least common multiple of x & y is 1,000.

Learn more about LCM, click;

https://brainly.com/question/30116021

#SPJ1

When numbers and variables are properly combined using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions, a set of mathematical symbols known as an expression is produced.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Therefore, when numbers and variables are properly combined using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions, a set of mathematical symbols known as an expression is produced.

Know more about Mathematical expressions here:

https://brainly.com/question/1859113

#SPJ1

Complete question:

What is a mathematical expression?

Answer:

y=mx+b

Step-by-step explanation:

Answer: however much a foot of craft material is multiply it by 102

Step-by-step explanation:

He open his chutes at t = (3 ± √(-31)) / 2 seconds.

To find the time at which the person opened their parachute, we need to find the point of intersection between the two equations, F(t) and P(t).

The first equation is F(t) = -t^2 + 2t + 305, represents the fall before the parachute is open.

The second equation is P(t) = -t + 295, represents the fall after the parachute is open.

We can find the point of intersection by setting the two equations equal to each other and solving for t.

-t^2 + 2t + 305 = -t + 295

-t^2 + 3t = -10

t^2 - 3t + 10 = 0

using quadratic formula

t = (3 ± √(3^2 - 4110)) / 2*1

t = (3 ± √(9 - 40)) / 2

t = (3 ± √(-31)) / 2

To find more about time visit:

https://brainly.com/question/28784753

#SPJ1

===============================================

Explanation:

We'll use the pythagorean theorem converse.

Consider a triangle with sides a,b,c where c is the longest side.

There are 3 scenarios possible:

The middle or second scenario is probably what you're most familiar with. That's the famous pythagorean theorem without the term "converse" attached to it.

--------------

The two given sides are 8 inches and 10 inches.

Let's say the third side was 5 inches (choice F)

This means we have a triangle with sides a = 5, b = 8, c = 10

Then compute the following:

Since 89 < 100, we see that a^2+b^2 < c^2 is the case. Therefore the triangle with sides 5,8,10 is obtuse.

This will allow us to rule out choice F since we're looking for an acute triangle.

--------------

Now onto choice G.

This time the sides are: a = 6, b = 8, c = 10

Both results (a^2+b^2 and c^2) are the same at 100; so we see that a^2+b^2 = c^2.

Therefore we have a right triangle. We can rule out choice G.

--------------

Now onto choice H.

The triangle now has sides: a = 8, b = 10, c = 12

Since 164 > 144, we see that a^2+b^2 > c^2 is the case. Therefore the triangle with side lengths 8,10,12 is acute.

--------------

For the sake of completeness, let's go over choice J.

We find 164 < 169 which leads to the scenario a^2+b^2 < c^2. The triangle for choice J is obtuse. We can rule out choice J.

You can use something like GeoGebra to help visually verify these results.

Answer: m<1 refers to the measure of an angle in a plane. The symbol < indicates that it is a smaller angle than a right angle which has a measure of 90 degrees. The value of m<1 is the measure of that angle in degrees.

36°, 70 degree and 1 degree are all measures of angles, but they are not necessarily the measure of m<1. Without any further context or information, it is not possible to say what m<1 is equal to.

Step-by-step explanation:

The probability of rolling a one on the first die and a four on the second die is 1/36.

This is because there are six possible outcomes for each die (1, 2, 3, 4, 5, and 6) and the probability of rolling a specific number on one die is 1/6. To find the probability of rolling a specific number on two dice, you would multiply the individual probabilities of each die (1/6 x 1/6 = 1/36). Since there is only one combination of rolling a one on the first die and a four on the second die, the probability is 1/36.

To learn more about probability:

https://brainly.com/question/24756209

#SPJ4

The number of members of the population that could result in a parameter but not a statistic is given as follows:

A. 850

A parameter is used to describe the whole population, while a statistic is used to describe the sample.

For this problem, we have that:

Meaning that 850,000 describes the population, and thus the correct option is option C.

The options are given as follows:

A. 850

B. Both 850 and 850,000

C. 850,000

D. Neither 850 nor 850,000

More can be learned about parameter and statistic at https://brainly.com/question/13794992

#SPJ1

The graph that represents the system is option D.

The first inequality y ≥ 3x + 1 represents a line with a slope of 3 and a y-intercept of 1, and it is shaded above the line. This line is a solid line.

The second inequality x < -3 represents a vertical line with an x-intercept of -3, and it is shaded to the left of the line. This line is a dashed line.

The solution of the system is the intersection of the two regions, which is the area on the coordinate plane that is shaded above the solid line and to the left of the dashed line.

So the graph that represents the system is the one that shows a solid line with a slope of 3 and a y-intercept of 1, with shading above the line, and a dashed line with an x-intercept of -3, with shading to the left of the line. This is option D.

Answer:

D

Step-by-step explanation:

took the test xx

Answer:

Option B: Target.

Step-by-step explanation:

Kohl's sale

1/3 × 100= 33.3% off

While,

Target sale

1/2 × 100 = 50% off

Answer:

Target (option b/second option)

Step-by-step explanation:

We have to first convert the fraction rates into percentage rates. To change a fraction to a percentage, you can divide the numerator by the denominator then multiply the result by 100. Alternatively, you can multiply the numerator by 100 first then divide the result by the denominator of the fraction.

1/2 = 50%

1/3 = 33.33%

Now reviewing this data, we see that a 50% decrease of a price is more than a 33.33% decrease.

Answer:

Answer

Step-by-step explanation:

you can answer these NUTS!!!

A mathematical rule that may have a value given to it is called a function.

A mathematical rule that may have a value given to it is called a function.

A mathematical function is a rule that can have a value. We will now move on to determine which function may be categorised as displayed.

The equation for this quadratic function, y = 2x, is that Ashley pays $2 every day and provides $2 to her brother.

The total payment equals twice as many days as there are in a week. This is a linear function, and its equation is y= 2x - 2x = 2[tex]x^{2}[/tex]

The daily payouts begin at $2 and double with each passing day; this exponential function has the formula y = 2[tex]x^{2}[/tex]

To learn more about function refer to:

https://brainly.com/question/23665511

#SPJ1

Answer:

a= 3/

Step-by-step explanation:

2/3a-1/6=1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/

a=3/

Answer:

Step-by-step explanation:

f(X) = 5X=25

Answer:

#13: 360; #14: 9 m^3

Step-by-step explanation:

x ^2 y z^3 = 9*5*8=360

81 m^4*n^3 = 9 m*n^3 * 9 m^3

The range of scores that Steve needs to get an average of 70 to 79 is 66 to 87 Points.

To find the range of scores that Steve needs to have to stay in the 70 to 79 range we first need to define the variables that we need to find.

Let x = Score that Steve needs

Since the exam is worth 3 exams, we will then use 3x to denote the weight of the final exam.

Now we need to add all the other exams and divide it by the number of exams.

[tex]\frac{3x + 70+77+71+71}{7} = 70[/tex]

3x + 292 = 7 *70

3x = 490 -292

3x = 198

[tex]\frac{3x}{3} =\frac{198}{3}[/tex]

x = 66

Now let's look for the score that Steve needs to get to a 79 average.

[tex]\frac{3x + 70+77+71+71}{7} = 79[/tex]

3x + 292 = 7 * 79

3x + 292 = 553

3x = 553 - 292

3x = 261

x = 87

So the range of scores is 66 to 87 Points.

Read more about average:

https://brainly.com/question/20118982

#SPJ4

For the given quadratic function, the coefficient b is equal to 12.

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

The question gives some points of the quadratic function, see below.

  x  f(x)

−10  24

−9  17

−8  12

−7  9

−6  8

−5  9

−4  12

From the given data you can find the coefficients by solving the system linear equation.

You can write a system linear equation using the points: (-10,24) ,(-9,17) and (-8,12) for example. Then, you have three equations:

100a-10b+c=24 (1)

81a-9b+c=17    (2)

64a-8b+c=12   (3)

Isolate the coefficient a, you have [tex]a=\frac{24+10b-c}{100}[/tex]. Replacing the variable a in equations 2 and 3, you have:

[tex]81* \frac{24+10b-c}{100}-9b+c=17 (2) \\\\ 64* \frac{24+10b-c}{100}-8b+c=12 (3)[/tex]

Simplifying, you can rewrite it as:

[tex]\frac{-90b+19c+1944}{100}=17 (2) \\ \frac{-40b+9c+384}{25}=12 (3)[/tex]

Next step, you should isolate the coefficient b from the previous equation 2. You have:

[tex]\frac{-90b+19c+1944}{100}=17\\ \\ -90b=1700-19c-1944\\ \\ -90b=-244-19c\\ \\ b=-\frac{-244-19c}{90} = \frac{244+19c}{90}[/tex]

[tex]b=\frac{(244+19c)}{90} (4)[/tex]

Replacing the variable b in the previous equation 3, you have:

[tex]\frac{-40*\frac{244+19c}{90}+9c+384 }{25} =12\\[/tex]. Multiplying both sides by 25, you find the coefficient c:

[tex]\frac{25*(-40(\frac{244+19c}{90})+9c+384)}{25}=12*25\\ \\ -40(\frac{244+19c}{90})+9c+384=300\\ \\ -4(\frac{244+19c}{9})+9c+384=300\\ \\ (\frac{-976-76c}{9})+9c+384=300\\ \\ -976-76c+81c+3456=2700\\ \\ -76c+81c=2700+976-3456\\ \\ 5c=220\\ \\ c=44[/tex]

From the previous equation 4, you finally find the coefficient b. See below.

[tex]b=\frac{244+19c}{90} \\ b=\frac{244+19*44}{90}\\ \\ b=\frac{244+836}{90}\\ \\ b=\frac{1080}{90}\\ \\ b=12[/tex]

Learn more about the linear equations here:

brainly.com/question/2030026

#SPJ1

The function represent the given graph is f(x)= 1·(1/2)ˣ. Therefore, option B is the correct answer.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

As, seen from the graph passes through (0,1) point.

Now, put x = 0, we get

y = 1 from equation B or D.

Now, as the value of x increases towards negative direction i.e. -5, -6, ....

Then, the value of y will be zero.  

So, the function represent the graph is f(x)= 1·(1/2)ˣ

Therefore, option B is the correct answer.

Learn more about the exponential function here:

brainly.com/question/11487261.

#SPJ1

The difference in temperature at 10 a.m. and 3:30 p.m. is -3.3 degree Fahrenheit

When the time was 10 in the morning the temperature was 1.2 degrees Fahrenheit

When it was 3.30 in the afternoon, the temperature was - 2.1 degrees fahrenheit

The difference that would be in the temperatures that we have here would be:

-2.1 - 1.2

= -3.3 degrees fahrenheit

This tells us that there is a decrease in temperature in this time frame

Read more on temperature here: https://brainly.com/question/24746268

#SPJ1

complete question

shows the exact temperatures at three different times in Beltsville, Md., one day last

3.30 p.m.

-2.1° F

Noon

10 a.m.

1.2° F

Time

Temperature

winter.

0° F

What is the difference between the temperatures at 10 a.m. and 3:30 p.m.? Indicate whether the

Answer:1/3=22, 1=66, 1.5=99

Step-by-step explanation:

Answer:

Thats the answer in the picture I designed and made it step by step so you can understand it

Hope it helps

The speed travelled by mars in miles per minutes is 900. As Given that the mars revolves around the sun at a rate of approximately 15 miles per second.

We know that , Speed = distance / time

Hence we have speed of the mars as  15 miles/sec.

To convert the rate from miles/sec to miles/ minute we have to multiply the given with minute i.e 60 sec.

                    miles x min    =   miles x 60 sec          

                     sec x min              sec x min

           since , 1 minute = 60 sec

 hence, new speed = 15 x 60 miles/ minute.

Therefore , the speed travelled by mars in miles per minutes is 900.

( a) In two minutes mars will travel 900 x 2 times with the same rate.

        i.e 1800 miles per minute.

Learn more about the speed and time here :

https://brainly.com/question/28238258

#SPJ4

The complete question is:

as mars revolves around the sun, it travels at a rate of approximately 15 miles per second. convert this rate to miles per minute. at this rate, how many miles will mars travel in 2 minutes ?

The formula for the cost, C, of hiring a DJ for n hours is C = hn + e

a. The formula for the cost, C, of hiring a DJ for n hours is C = hn + e, where h is the hourly fee and e is the equipment setup fee.

b. To find the inverse of the formula, we can solve for n in terms of C and h:

n = (C - e) / h

The new formula represents the number of hours the DJ was hired for given the cost, C, and the hourly fee, h.

c. If the DJ charged $550, we can use the inverse formula to find the number of hours she was hired for.

n = (550 - e) / h

where e is equipment setup fee.

Since we are not given the equipment setup fee, we can't calculate the number of hours she was hired for.

Learn more about cost function on:

brainly.com/question/25109150

#SPJ1

The speed of the Pepsi bottle would be 78.4 m/s.

To calculate the speed of the Pepsi bottle when it has 1.2 seconds left in its fall, we would need to know the acceleration due to gravity. Assuming a standard gravitational acceleration of 9.8 m/s^2, we can use the following equation to calculate the speed:

Speed = (2 * acceleration * distance)^(1/2)

where distance is the distance fallen (60m)

Speed = (2 * 9.8 * 60)^(1/2) = 78.4 m/s

It is important to know that this is the final velocity at time of impact and doesn't account for the time of fall and air resistance.

To learn more about speed here:

https://brainly.com/question/7359669

#SPJ4

648 pounds of topsoil in total.

( for this question it's asking how many bags she bought in total, which I dont understand cuz it already says she bought 18 bags.)

(It really should have asked, how much topsoil in total did she buy)

but what I did to find my ans is that I multiplied.

36×18, cuz it says each bag contains 36 pounds.

The length of the side XY taken out by using trigonometric formulas is 12.208 cm.

Now we know that ΔWXY is a right-angled triangle. With ∠XWY = 90°

Hence we see that we can use the trigonometric formulas to find the length of XY

Since ∠YWX = 35° with XW being the corresponding side and XY being the hypotenuse we can use the formula

cosx = base/hypotenuse

Now using a scientific calculator we can calculate

cos35 to be 0.81915

or, base/hypotenuse = 0.81915

or, WX/XY = 0.81915

or, 10/XY = 0.81915

or, XY = 10/0.81915

or, XY = 12.208 cm

Hence the length of side XY is 12.208 cm.

To learn more about Trigonometry visit

https://brainly.com/question/19818825

#SPJ4

Complete Question

(Image Attached)