how do I solve this?​

8ºC below 0 is -8ºC (negative eight degrees celsius).

Below means subtract. 0 - 8 = -8.

The probability of selection of diagonal which is not shortest nor longest is 13/17.

We know very well that Icosagon has 20 sides.

If any diagonal is possible, it can be possible by connecting two points, so to choose r objects from n objects can be done by ⁿ \(C_{r}\) = \(\frac{n!}{r! (n-r)!}\)

So, number of ways to choose diagonal = \(^2^0C_{2}\)

After that we need to subtract 20 ways as single point can lead to diagonal making.

So, total number of ways to choose 20 diagonals =  170

Now, talking about the shorter diagonal

so, shorter diagonal =Diagonal connecting(A₁A₃, A₂A₄,.....) =20 diagonals.

Now, talking about longer diagonal=Diagonal connecting(A₁A₈,A₂A₉.........) = 20 diagonals

So, we have total chances of ⁿ \(C_{r}\) = \(\frac{n!}{r! (n-r)!}\) and possible number of chances of selection of shorter and longer diagonal

So, according to the formula,

Probability= Favorable outcome /Total outcome

Probability = [(Total ways to select diagonals - (Ways to select shorter diagonal) - Ways to select longer diagonal)]/(Total number of ways)

Probability = (170-20-20)/170

Probability = 130/170

Probability = 13/17

Hence, the probability of selecting a  diagonal such that it is not shortest nor longest is 13/17.

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Answer:

6wusyhdodnbdhsggegehd

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

8:21

Step-by-step explanation:

Using outcome probability, the pointer will land on a vowel about: 320 times.

We are given that:

Spinner is divided into five sections

Labels on spinner are: A, B, C, D, and E

Total number of letters = 5 nos

Number of vowels = 2

Probability of getting A from 50 spins = 10/50 = 0.2

Probability of getting E from 50 spins = 6/50 = 0.12

Thus:

Number of times of getting a vowel in 1000 spins = (0.2 * 1000) + (0.12 * 1000)

= 200 + 120

= 320

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Answer:

125

Step-by-step explanation:

5 to the 3rd power means 5³

5³ = 5x5x5

= 125

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The number 2.5 represents the amount of money required to go on 1 ride.

therefore, the correct choice is :

Answer:

the second option

Step-by-step explanation:

because 2.5 approximately 1

Money Jessica gets for her birthday = $10

Money she will get from her aunt Karin for her next birthday :-

= 20% more than the money she usually gets

= 20% more than 10

\( = 20 \times \frac{1}{10} + 10\)

\( = \frac{20}{10} + 10\)

\( = \frac{2}{1} + \frac{10}{1} \)

\( = 2 + 10\)

\( = $12\)

Therefore , Jessica will get $12 for her next birthday year .

Answer:

Yes, because the sum of his assets is $125,480 and the sum of his liabilities is $20,960.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

18.

Step-by-step explanation:

[4 + (3 - 1)] * 3

= (4 + 2) * 3

= 6 * 3

= 18

Hope this helps!

Answer:

x = 37

y = 53

Step-by-step explanation:

Complementary angles are defined as two angles whose sum is 90 degrees.

x + 53 = 90

=> x = 90 - 53 = 37

x + y = 90

37 + y = 90

y = 90 - 37 = 53

Answer:

a. $1669

Step-by-step explanation:

Price in 1994 = [ (CPI in 1994) / (CPI 1973) ] * (Price in 1973) =

[ 148.2 / 44.4 ] * 500 =  1668.91891892 = $1669 rounded to the nearest dollar.

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

The answer is 152 r10

Step-by-step explanation:

There is indeed a remainder when dividing 6394 by 42.

6394 ÷ 42 = 152 with a remainder of 10, so, the remainder is 10.

Here, we have,

To determine if there is a remainder when dividing 6394 by 42,

we can perform the division and check if the result is a whole number or a decimal.

6394 ÷ 42 = 152 with a remainder of 10

Since the division does not result in a whole number,

but rather a quotient of 152 with a remainder of 10,

it indicates that there is indeed a remainder when dividing 6394 by 42.

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Answer: 20 cups

Step-by-step explanation:

Question would like to know the number of cups that Jada poured juice into.

If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:

= Total juice poured / Quantity per cup

= 9 litres/ 0.45 litres per cup

= 20 cups

Answer:

Okay. I got:

FGCE

Step-by-step explanation:

Answer:

FGCE

Step-by-step explanation:

1. 3x - 9 = 30

add 9 to 30 ( 30 + 9 = 39) divide 39 by 3 (39 ÷ 3 = 13)

2. x/5 + 4 = 6

subtract 4 from 6 (6 - 4 = 2) multiply 2 by 5 (2 x 5 = 10)

3. x/2 + 6.5 = 8

subtract 6.5 from 8 (8 - 6.5 = 1.5) multiply 2 by 1.5 (2 x 1.5 = 3)

4. -2x + 2 = 18

subtract 2 from 18 (18 - 2 = 16) divide -2 from 16 (16 ÷ -2 = -8)

The degrees of freedom for the between groups would be 4-1 = 3 and the degrees of freedom for the within groups would be 24-4 = 20.

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

The number of factor levels being compared for this ANOVA procedure cannot be determined from the given information. The degrees of freedom for the between and within groups are provided, but the number of factor levels is not directly given.

In general, the number of factor levels in a one-way ANOVA refers to the number of groups being compared. Each group represents a level of the factor being studied.

To find the number of factor levels, we need to know the degrees of freedom associated with the between and within groups. The degrees of freedom for the between groups is equal to the number of groups minus one, while the degrees of freedom for the within groups is equal to the total number of observations minus the number of groups.

For example, if we had 4 groups and 24 total observations, the degrees of freedom for the between groups would be 4-1 = 3 and the degrees of freedom for the within groups would be 24-4 = 20.

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To find the number of points on the curve where the tangent line is horizontal, we need to take the derivative of the equation and solve for y'.There are two such points on the curve where the tangent line is horizontal.

To find the points on the curve x^2/3 + y^2/3 = 9 in the xy-plane where the tangent line is horizontal, we first need to take the derivative of the equation with respect to x. Using the chain rule, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3)*y' = 0

Solving for y', we get:

y' = -x^(1/3)/y^(1/3)

To find the values of x where the tangent line is horizontal, we need to set y' equal to zero. This means that:

-x^(1/3)/y^(1/3) = 0

This equation is only satisfied when x = 0. We can plug this value of x back into the original equation to find the corresponding y-coordinates:

(0)^2/3 + y^2/3 = 9

y^2/3 = 9

y^2 = 27

This gives us two possible y-coordinates: y = sqrt(27) and y = -sqrt(27). Therefore, there are two points on the curve where the tangent line is horizontal, namely (0, sqrt(27)) and (0, -sqrt(27)).

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Josephine can choose three books (one chemistry, one history, and one statistics) in 60 ways using the multiplication principle.

To calculate the number of ways Josephine can choose one book of each type to study, we can use the multiplication principle, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

So, to solve this problem, we need to multiply the number of ways Josephine can choose one chemistry book, one history book, and one statistics book.

The number of ways to choose one chemistry book from two is 2 (since there are only two options).

The number of ways to choose one history book from three is 3.

The number of ways to choose one statistics book from ten is 10.

Therefore, the total number of ways Josephine can choose one book of each type to study is:

2 x 3 x 10 = 60

So there are 60 ways for Josephine to choose the three books she wants to study.

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Answer:

Area = 230 cm!

you can sort of cut the shape into a triangle and a rectangle! then you just multiply around!

Answer:

I think 3 3/4 (A)

Step-by-step explanation:

Each gallon is 20 percent, while 3/4 is 75 percent. Divide 20 by 4, which is the denominator. The answer is 5. Every time you get a 5, that's a 1/4. For example:

25: 1 1/4

30: 1 2/4 (1/2)

35: 1 3/4

40: 2

Now, 75 is between 3 and 4 gallons, but it is lower than 4, so B and C are wrong. Let's do the math again.

65: 3 1/4

70: 3 2/4 (1/2)

75: 3 3/4

Remember, 3/4 is about 75%. which means, A is the answer!

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

Answer:

y= 8

Step-by-step explanation:

y = 8 - 3x

y = 8-3*0

y = 8

Given equation is

\(y = 8 - 3x\)

we need to identify the slope and y intercept of this function.

We know that standard form of slope intercept form as

\(y = mx + c\)

where ,

We can convert the given equation into standard form as ,

\(\longrightarrow y = -3x + 8 \)

On comparing to the standard form, we have ;

And we are done!

Answer:

0.344

Step-by-step explanation:

1.6 x 0.215 = 0.344

Add imaginary zeros to help if needed.

Answer:

The answer is 0.344

Step-by-step explanation:

You just multiply it together.

184 people

groups of 13

How many vans needed to take the people to the hotel.

\( \frac{184}{13} \)

\( = 14.1538461538\)

\(nearest \: whole \: number = 14\)

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Given that the function f is twice differentiable for x = 0 and that f(1) = 15 and f''(1) = 20, we can draw certain conclusions about the behavior of the function near x = 1.

First, let's recall what it means for a function to be twice differentiable. This means that the function has two derivatives: the first derivative, which gives the slope of the tangent line at each point, and the second derivative, which gives the curvature of the graph at each point. When we say that f''(1) = 20, we are saying that the curvature of the graph at x = 1 is positive; in other words, the graph is bending upwards at that point.

To get a better idea of the behavior of the function, we can use the Taylor series expansion. This is a way to approximate the value of the function at a point using its derivatives. Specifically, the Taylor series expansion for a function f(x) centered at x = a is given by:
f(x) = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3 + ...
For our function f(x), we know that f(1) = 15 and f''(1) = 20. So we can use the Taylor series expansion centered at x = 1 to get an approximation of the function near that point:

f(x) = 15 + f'(1)(x-1) + (1/2)(20)(x-1)2 +...

To find the value of f'(1), we can take the derivative of both sides of the equation:

f'(x) = f'(1) + 20(x-1) + ...

At x=1, this gives us:

f'(1) = f'(1) + 20(0) + ...

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