Sea ice is frozen ocean water, which freezes at a temperture of about -1.8 degress celsius. What is the temperture in fahrenheit use the formula F=(c) (9/5)+32

There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

To know more about distinguishable and indistinguishable:

https://brainly.com/question/28353849

#SPJ4

When a two-way table shows one relationship between two variables, but the relationship reverses when a third variable is introduced, it indicates the presence of a confounding variable.

A confounding variable is an additional factor that is related to both the independent and dependent variables, and it can distort or influence the observed relationship between the two variables of interest. In such cases, the initial relationship observed in the two-way table may be misleading or inaccurate because the third variable is influencing the relationship. It highlights the importance of considering and controlling for potential confounding variables in order to accurately understand and interpret the relationship between the two primary variables.

To know more about confounding variable,

https://brainly.com/question/32499825

#SPJ11

the answer to your math question is S = {green, blue, yellow, orange, purple, red}

Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm^2.

What is rectangle ?

A rectangle is a two - dimensional shape with four sides, where each pair of opposite sides are equal in length and parallel to each other

Let's say the length, width and height of the rectangular bin are l, w and h respectively. The volume of the bin can be expressed as:

V = l * w * h = 62500 cm^3 (Given)

Since the base is a square, have w = l. Therefore,

V = l^2 * h

h = V / l^2 = 62500 / l^2

The surface area of the bin can be expressed as:

A = 2lw + 2lh + 2wh

Substituting the value of w = l and h = V / l^2, get:

A = 2l^2 + 2l * (V / l^2) + 2l * l = 2l^2 + 2V / l + 2l^2 = 4l^2 + 2V / l

To minimize the surface area, differentiate A with respect to l and set it to zero:

dA/dl = 8l + 2V / l^2 = 0

4l^3 = V

l^3 = V / 4

Taking the cube root of both sides,

l = (V / 4)^(1/3)

Substituting the value of V,

l = (62500 / 4)^(1/3) = (15625)^(1/3) = 125 cm

Since w = l,

w = 125 cm

h = V / l^2 = 62500 / (125)^2 = 250 cm

The minimum surface area is then given by,

A = 2lw + 2lh + 2wh = 2 * 125 * 125 + 2 * 125 * 250 + 2 * 125 * 125 = 31250 cm^2

Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm^2.

To learn more about rectangle visit : brainly.com/question/29123947

#SPJ4

Minimum surface area of rectangular bin with 62,500 cm³ volume and square base is 31250 cm^2.

A rectangle is a two - dimensional shape with four sides, where each pair of opposite sides are equal in length and parallel to each other

Let's say the length, width and height of the rectangular bin are l, w and h respectively. The volume of the bin can be expressed as:

V = l * w * h = 62500 cm³ (Given)

Since the base is a square, have w = l. Therefore,

V = l² * h

h = V / l² = 62500 / l²

The surface area of the bin can be expressed as:

A = 2lw + 2lh + 2wh

Substituting the value of w = l and h = V / l^2, get:

A = 2l² + 2l * (V / l²) + 2l * l = 2l²+ 2V / l + 2l² = 4l² + 2V / l

To minimize the surface area, differentiate A with respect to l and set it to zero:

dA/dl = 8l + 2V / l² = 0

4l³ = V

l³ = V / 4

Taking the cube root of both sides,

l = (V / 4)^(1/3)

Substituting the value of V,

l = (62500 / 4)^(1/3) = (15625)^(1/3) = 125 cm

Since w = l,

w = 125 cm

h = V / l² = 62500 / (125)²= 250 cm

The minimum surface area is then given by,

A = 2lw + 2lh + 2wh = 2 * 125 * 125 + 2 * 125 * 250 + 2 * 125 * 125 = 31250 cm²

Minimum surface area of rectangular bin with 62,500 cm^3 volume and square base is 31250 cm².

To learn more about rectangle

brainly.com/question/29123947

#SPJ4

Answer:

x=5

Step-by-step explanation:

So first we want to find x by itself, so we can subtract 4 from both sides:

x=5

That is your simple answer!

Step-by-step explanation:

\( \huge{ \sf{x + 4 = 9}}\)

~ Move 4 to right hand side and change it's sign :

⟼ \( \huge{ \sf{x = 9 - 4}}\)

~ Subtract 4 from 9

⟼ \( \huge{ \sf{x = 5}}\)

\( \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{ \text{5}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Yes, the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

The p-value is the probability of obtaining a statistic that is more or more extreme than that observed in experiment.

The p-value is calculated assuming the null hypothesis is true. Therefore, the lower the p-value, the stronger the evidence that the null hypothesis is false. That is, the lower the p-value, the stronger the evidence in favor of the alternative hypothesis.

The P-value is the observed test statistic (i.e., the data summary) that is as extreme as or more extreme than the currently observed test statistic under a statistical model that specifically assumes that the hypothesis is being tested. is the probability that It's true.

To learn more about p-value in hypothesis testing, refer:

https://brainly.com/question/14189134

#SPJ4

Complete question

is the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

Answer:

Step-by-step explanation:

5f+4f-8=19

=> 9f = 19 + 8

=> 9f = 27

\( = > f = \frac{27}{9} \)

=> f = 3 (Ans)

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

⇒(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

⇒(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

⇒(x + p) (x + p) = x² + 2px + p²

The number of diagonal in convex polygon with 20 sides is equal to 170.

Number of sides in convex polygon = 20

Interior angle in convex polygon is less than 180 degrees

To find the number of diagonals in a convex polygon with 20 sides,

we can use the formula,

Number of diagonals  = n(n-3)/2

where n is the number of sides.

Substituting the value of number of sides n=20, we get,

⇒ Number of diagonals  = 20(20-3)/2

⇒ Number of diagonals  = 17 x 20 / 2

⇒ Number of diagonals  = 170

Therefore, a convex polygon with 20 sides has 170 diagonals.

learn more about convex polygon here

brainly.com/question/22056240

#SPJ4

Answer:

A = 20

B = 12.5

C = 10.2

Step-by-step explanation:

A = (10 + 20 + 30)/3 = 20

B = (5 + 10 + 15 + 20) = 12.5

C = (1 + 5 + 10 + 15 + 20) = 10.2

Answer:

The discount will take the total down to 71.00$

Step-by-step explanation:

i think this is the answer im not for sure but i hope this helps you :)

Answer:

elimination

Step-by-step explanation:

They only cross out answers you don't want

Answer:

600 square mm

Step-by-step explanation:

there is a total of 12 5 by 5 squares, and 6 5 by 10 rectangles. 12*25=300 and 6*50=300 so 300+300=600

Answer:

Step-by-step explanation: potatoes

Answer:

27 inch sq is correct answer

Answer:

\( \frac{25}{100} \times 1.20\)

Answer:

Step-by-step explanation:

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.

9514 1404 393

Answer:

  9

Step-by-step explanation:

"Varies directly" means the values change by the same factor. Here, we have y increasing from 13 to 39, by a factor of 3.

Since x varies directly as y, it, too, will increase by a factor of 3:

  x = 3·3

  x = 9

__

Alternate solution

"Varies directly" is another way to say the values are proportional. Then the new value of x can be found from ...

  x-value/y-value = 3/13 = x/39

Multiplying by 39 gives ...

  x = 39(3/13) = 3·3

  x = 9

A commutative property in math is

Commutativity says that the numbers we are dealing with can be shifted or swapped without affecting the answer. This property applies to addition and multiplication, but not to subtraction and division.

a + b = b + a; where a and b are

integers. Example: 3 + 4 = 4 + 3 = 7.

a × b = b × a; where a and b are

non-zero integers. Example :

2×3 = 3×2 = 6

So this rule simply states that you can change the order of numbers in a question by adding or multiplying them without affecting the answer.

To learn more about Commutative Property, refer:

https://brainly.com/question/778086

#SPJ4

We first start by finding the actual coordinates of the pre - image's point S.

Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:

The point's x coordiate is 4 to the left from the origin, or -4.

The point's y coordinate is 4 up from the origin, or 4.

So, the coordinates of Point S is (-4, 4).

Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:

(-4, 4) --> (-4, -4)

So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).

The American section will be 84°.

Given is circle, we need to find the central angle for America,

So, given that,

The frequency of German is 4, American is 7, Italian is 13 and of Other 6,

So,

The total frequency = 4 + 7 + 13 + 6 = 30

So, for American section = 7/30 x 360 = 84

Hence the American section will be 84°.

Learn more about Pie chart click;

https://brainly.com/question/1109099

#SPJ1

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

know more about substitution method

https://brainly.com/question/22340165

#SPJ11

To find the average height of the paraboloid \(z = x^2 + y^2\) over the square, we need to calculate the average value of z over the given square region.

Let's denote the square region as R, with sides of length L. Since the square is centered at the origin (0, 0), its vertices can be represented as \(\left(\frac{L}{2}, \frac{L}{2}\right), \left(-\frac{L}{2}, \frac{L}{2}\right), \left(\frac{L}{2}, -\frac{L}{2}\right), \text{ and } \left(-\frac{L}{2}, -\frac{L}{2}\right)\).

The average value of a function f(x, y) over a region R is given by the double integral:

\(\text{Avg}(f) = \frac{1}{\text{Area}(R)} \iint_R f(x, y) \, dA\),

where dA represents the differential area element and Area(R) is the area of the region R.

In this case, we want to find the average height of the paraboloid \(z = x^2 + y^2\), so our function is \(f(x, y) = x^2 + y^2\).

The differential area element dA in Cartesian coordinates is given by dA = dx dy.

The region R is a square with sides of length L, so its area is given by \(Area(R) = L^2\).

Substituting the function, differential area, and region area into the average formula, we have:

\(\text{Avg}(f) = \frac{1}{L^2} \iint_R (x^2 + y^2) \, dx \, dy\)

To evaluate the double integral, we integrate with respect to x from \(-\frac{L}{2} \text{ to } \frac{L}{2}\), and with respect to y from \(-\frac{L}{2} \text{ to } \frac{L}{2}\).

\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \int_{-\frac{L}{2}}^{\frac{L}{2}} (x^2 + y^2) \, dx \, dy\)

Integrating with respect to x, we get:

\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \left(\frac{x^3}{3} + xy^2\right) \, dx \, dy\)

Simplifying, we have:

\(\text{Avg}(f) = \frac{1}{L^2} \int_{-\frac{L}{2}}^{\frac{L}{2}} \left(\frac{L^3}{12} + \frac{y^2L}{4}\right) \, dy\)

Integrating with respect to y, we get:

\(\text{Avg}(f) = \frac{1}{L^2} \left[\left(\frac{L^3}{12}\right)y + \left(\frac{y^3L}{4}\right)\right]_{-\frac{L}{2}}^{\frac{L}{2}}\)

Evaluating the integral limits, we have:

\(\text{Avg}(f) = \frac{1}{L^2} \left[\left(\frac{L^3}{12}\right)\left(\frac{L}{2}\right) + \left(\left(\frac{L}{2}\right)^3\frac{L}{4}\right)\right]\)

Simplifying further:

\(\text{Avg}(f) = \frac{1}{L^2} \left[ \frac{L^4}{24} + \frac{L^4}{32} \right]\\\\= \frac{1}{L^2} \left[ \frac{8L^4 + 6L^4}{96} \right]\\\\= \frac{1}{L^2} \left( \frac{14L^4}{96} \right)\\\\= \frac{14L^2}{96}\)

Therefore, the average height of the paraboloid \(z = x^2 + y^2\) over the given square region is \(\text{Avg}(f) = \frac{14L^2}{96}\).

To know more about Average visit-

brainly.com/question/18029149

#SPJ11

The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.

The pedestal's dimensions are height, breadth, and length.

Multiply the height, width, and length of the pedestal to calculate the surface area.

Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.

For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.

In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.

To learn more about pedestal visit:

https://brainly.com/question/22438352

#SPJ4

The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.

You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.

S = 2*s1 + s2 + 2*s3

= 96 + 480 + 600

= 1176

Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.

The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.

In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.

Learn more about pedestals :

brainly.com/question/22438352

#SPJ4

Answer:

.58 miles/minute

Step-by-step explanation:

56 kilometers/hour * 0.621371 miles/kilometer * 1 hour/60 minutes

= .58 miles/minute

Answer:

Step-by-step explanation:

Whats yo ig???

Answer:

341÷674+846 is exaclly 846.505934718

Answer:

341/674 +846=846.50

it also may be

\( \frac{341}{674 + 856} \)

341/1530=0.22

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

Learn more about slope on:

https://brainly.com/question/13861479

#SPJ1

The probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.

To solve this problem, we need to use the binomial probability formula:
\(P(X = k) = (n choose k)  p^k  ( (1 - p)^{n-k}\)

where:
- X is the random variable representing the number of successes (random numbers in the interval 0.1 to 0.35)
- k is the number of successes we want (exactly 20)
- n is the total number of trials (100)
- p is the probability of success (the probability that a randomly generated number falls in the interval 0.1 to 0.35)

To find p, we need to determine the fraction of the interval 0 to 1 that is between 0.1 and 0.35:
\(p = (0.35 - 0.1) / 1 = 0.25\\p = \frac{0.35-0.1}{1} = 0.25\)

Now we can plug in the values and calculate the probability:

\(P(X = 20) = (100 choose 20) (0.25)^{20}   (1-0.25)^{100-20}\)
= 0.0223

Therefore, the probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.

To know more about "Probability" refer here:

https://brainly.com/question/30034780#

#SPJ11