Please answer the 2 questions if you can? (This is my math from 8th grade)

Answer:

\( IQR= Q_3 -Q_1 = 130-100=30\)

We know that below the third quartile we have 75% of the values and below the first quartile we have 25% of the values. Then between the third and the first quartile we will have 75-25%=50% of the values.

And then we can apply the following proportion rule:

\( \frac{354}{50} =\frac{x}{100}\)

And solving for x we got:

\( x = 100 (\frac{354}{50})=708\)

So then the total of students is approximately 708

Step-by-step explanation:

We know that 354 students are between 100 and 130 so then the interquartile range is:

\( IQR= Q_3 -Q_1 = 130-100=30\)

We know that below the third quartile we have 75% of the values and below the first quartile we have 25% of the values. Then between the third and the first quartile we will have 75-25%=50% of the values.

And then we can apply the following proportion rule:

\( \frac{354}{50} =\frac{x}{100}\)

And solving for x we got:

\( x = 100 (\frac{354}{50})=708\)

So then the total of students is approximately 708

10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

In Maths, a fractiοn is used tο represent the pοrtiοn/part οf the whοle thing. It represents the equal parts οf the whοle. A fractiοn has twο parts, namely the numeratοr, and denοminatοr. The number οn the tοp is called the numeratοr, and the number οn the bοttοm is called the denοminatοr.

Tο subtract 7 and 2/3 frοm 10 and 1/3, we can write bοth as imprοper fractiοns with a cοmmοn denοminatοr and then subtract:

10 and 1/3 - 7 and 2/3 = (31/3) - (23/3)

Tο subtract these fractiοns, we need a cοmmοn denοminatοr, which is 3. We can rewrite the fractiοns with the cοmmοn denοminatοr οf 3:

(31/3) - (23/3) = (31 - 23)/3 = 8/3

Therefοre, 10 and 1/3 minus 7 and 2/3 is equal tο 8/3 οr 2 and 2/3.

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Complete question:

Convert the given sentence in to an algebraic expression and solve. Ten and one third minus seven and two thirds

Answer:

25.12 inches

Step-by-step explanation:

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

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Answer:

Step-by-step explanation:

Answer: you should plot it a -3.2

Step-by-step explanation:

Step-by-step explanation:

\(slope \: = \frac{y2 - y1}{x2 - x1} = \frac{3}{4} \)

point 1 ( -7,y)

point 2 (1,13)

\( \frac{13 - y1}{1 - ( - 7)} = \frac{3}{4} \)

\( \frac{13 - y1}{8} = \frac{3}{4} \)

\(13 - y2 = \frac{8 \times 3}{4} = 6\)

\(y2 = 13 - 6 = 7\)

y = 7

On solving the provided question we can say that As a result, the probability of a student P(x < 75) = 75 + (-75 ) =  0 .

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

z = (x - μ) / σ

z = (75 - 75) / 10 = 0

That is, a raw score of 75 equates to a z-score of 0.

P(z < 0) = 0.5

As a result, the likelihood of a student scoring less than 75% is 0 or 0%.

So, P(x < 75) = 75 + (-75 ) = 0

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1. The equation of the line of best fit is: y = -1.15x + 102.8

2. Using the equation of the line of best fit, the predicted cost is: $62.55

The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.

1. Using two points, (72, 20) and (20, 80):

Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52

Slope (m) = -1.15.

Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)

y - 20 = -1.15(x - 72)

y - 20 = -1.15x + 82.8

y = -1.15x + 82.8 + 20

y = -1.15x + 102.8

The equation of the best line of fit is y = -1.15x + 102.8.

2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.

y = -1.15(35) + 102.8

y = 62.55

The predicted monthly cost is $62.55.

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Answer:

B

Step-by-step explanation

Answer:

A

Step-by-step explanation:

Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0

Answer:

the next point will be 4, 6

Step-by-step explanation:

if you follow the dots in the line that they make, the next on will be 4, 6

Answer:

2.5 (2 1/2)

Step-by-step explanation:

First off, distance on a line cannot be negative. You can see that the 2 points are located at -6.75, and -4.25. You can find the distance by subtracting each other. With this info in mind, you can find the distance by getting the absolute value of -6.75 - (-4.25), which gives you 2 1/2, or 2.5

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Answer:

Your answer for this problem would be option A.

Step-by-step explanation:

Putting the linear inequality of \(y\ge-x-3\) into a graphing calculator such as Desmos would grant this result:

The required graph has been attached below that represents the linear inequality y ≥ −x − 3. The correct answer would be an option (A).

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

y ≥ −x − 3

Here, on a coordinate plane, a solid straight line has a negative slope and goes through (-3, 0) and (0, -3). Everything to the right of the line is shaded.

Therefore, the required graph has been attached below that represents the linear inequality y ≥ −x − 3.

Hence, the correct answer would be an option (A).

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The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

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Answer:

Step-by-step explanation:

5h+3

Answer: Below.

Step-by-step explanation: 5h + 3 (expression)

Based on a system of equations, a pound of apples costs $0.89.

A system of equations is two or more equations solved at the same time or concurrently.

A system of equations is also referred to as simultaneous equations.

                    Apples     Pears     Total Cost

Janice              2              3             $3.85

Lisa                  4              2             $4.94

Let the cost of a pound of apples = x

Let the cost of a pound of pears = y

2x + 3y = 3.85 ... Equation 1

4x + 2y = 4.94 ... Equation 2

Multiply Equation 1 by 2:

4x + 6y = 7.7 ... Equation 3

Subtract Equation 2 from Equation 3:

4x + 6y = 7.7

-

4x + 2y = 4.94

4y = 2.76

y = 0.69

Substitute y = 0.69 in Equation 1 or 2:

4x + 2y = 4.94

4x + 2(0.69) = 4.94

4x + 1.38 = 4.94

4x = 3.56

x = 0.89

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

A language is referred to as Decidable or Recursive if there is a Turing machine that accepts and halts on every input string w. This tells us that every decidable language is Turing-Acceptable.

Now, we are told that the halting language is reducible to some language B. This means that it is an undecidability via reduction.

Now, Using the idea that “ If A is undecidable and reducible to B, then B is undecidable.” Suppose R decides HALT_TM, we will construct S to decide ATM .

S = “On input (M, B)

This means that H_TM is reduced to HALT_TM and as such, HALT_TM is undecidable.

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Answer:

D is the answer

Step-by-step explanation:

Using bags that will make the balloon and the stickers have the same number in each bag, mere looking at the answers, 100/2 gives you 50 while 68/2 gives you 34. it means that it was splitted equally into the two bags.

The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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Answer:

Just answering this for that you can mark brainliest the person who answered right :-) and sorry for my English lol

Answer:

x=9 or -9

Step-by-step explanation:

the equation is:x^2-8=420-347

420-347=73

if x=9 then 81-8=73

and then 73=73

so x=9

hope this helps!

please mark my answer as brainliest! thanks! :)

Answer: 18$

Step-by-step explanation: ben had saved 1$ on the first week $3 on the second week and $9 on the third week and on the 6th week he had.

4) The value of 5-30+180-1,080+... when n=11 is 302,330,880.

5) Required number of terms are 10 ( approximately)

What is the formula for a finite geometric series?

\(S_n = \frac{ a(1 - r^n)}{(1 - r) }\) where a is the first term, r is the common ratio, and n is the number of terms.

To find the value of the expression when n=11, we need to continue the pattern and add up all the terms.

5-30+180-1,080+... can be written as:

5 - 30 + 180 - 1080 + 6480 - 38880 + 233280 - 1,399,680 + 8,398,080 - 50,388,480 + 302,330,880

In this case, a = 5, r = -6, and n = 11. Plugging these values into the formula, we get:\(S_11 = \frac{5(1 - (-6)^11)}{(1 - (-6))} = 302,330,880\)

So the answer is A) 302,330,880.

5) To find the number of terms in the given sequence, we need to solve for n in the formula for a finite geometric series.

where a is the first term, r is the common ratio, and \(S_n\) is the sum of the first n terms.

In this case, a = 100,000 and r = 1/2, since each term is half the previous one. Also, we know that S_n = 199,609.375 - (6 + 7 + 8 + 9) = 199,588.375. Plugging these values into the formula, we get:

\(199,588.375 = 100,000 \times \frac{(1 - (1/2)^n)}{(1 - 1/2)} \\ 199,588.375 = 200,000 \times (1 - (1/2)^n) \\ 0.997942 = (1/2)^n \\ n = \frac{log(0.997942)}{log(1/2)} \\ = 9.9916\)

So the number of terms is approximately 10. Answer: none of the above (not provided in the answer choices).

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1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

70%

Step-by-step explanation:

Answer:

The probability of rolling a number greater than 2 two times in a row is arond 0.44

Step-by-step explanation:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.

Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.