There are 7 red 3 green 2 blue and 8 purple marbles in a bag if a marble is randomly chosen 250 times predict how many times it should be red or green

The relation between angle 1 and angle 2 is they are equal and corresponding angle.

What are parallel lines?

Two lines are said to be parallel when they do not intersect each other. We can also say that two lines that run along and meet at infinity are called parallel lines.

What are corresponding angles?

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines and the transversal.

Given, m and l are parallel line.

Hence, m and l satisfy the condition of parallel lines.

Therefore, the angle 1 and angle 3 are equal.

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Therefore, the antiderivative of x + 7 with respect to x is: (x^2)/2 + 7x + C.

Evaluate the integral of x + 7 with respect to x, you can follow these steps:
1. Identify the function to be integrated: f(x) = x + 7
2. Apply the power rule for integration: ∫(x + 7)dx = (∫xdx) + (∫7dx)
3. Integrate each term separately: ∫xdx = (x^2)/2 + C₁, ∫7dx = 7x + C₂
4. Combine the results: (∫x + 7)dx = (x^2)/2 + 7x + C (C = C₁ + C₂)

Therefore, the antiderivative of x + 7 with respect to x is: (x^2)/2 + 7x + C.

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The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

So, the scale of dilation from shape A to B is:

Scale = 1/2

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

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The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

The given parameters are:

Letters = A - Z

Vowels = A, E, I, O and U

The above means that the number of letters and vowels are

n(Letters) = 26

n(Vowel)

The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is

P(Vowel) = n(Vowel)/n(Letters)

Substitute the known values in the above equation

P(Vowel) = 5/26

Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26

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Answer:

It will take him eight hours to get to one hundred pounds of strawberries/ nine hours to get to one hundred and eight pounds

Step-by-step explanation

H - hours  8 represents number of lbs Eric picks in H amount of hours

8h + 12 = 100

    -12       -12

8h= 88

8h/8= 88/8

H=8

4.8 inches is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches.

Using the formula for the area of a trapezoid, which is:

Area = (1/2)(b1 + b2)h

In this formula, b1 and b2 are the lengths of the two bases of the trapezoid, and h is the height of the trapezoid. In our problem, we know that the area is 24 square inches, and the lengths of the two bases are 4 inches and 6 inches. We want to solve for h, the height of the trapezoid.

Plugging in the known values, we get:

24 = (1/2)(4 + 6)h

24 = (1/2)(10)h

24 = 5h

4.8 = h

Therefore, the height of the trapezoid is 4.8 inches.

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The lower fence is 0.5 and the upper fence is 108.5 for the given data set.To determine the lower and upper fences of a data set, we first need to calculate the interquartile range (IQR). The IQR is the range between the first quartile (Q1) and the third quartile (Q3) of the data set.

Step 1: Sort the data set in ascending order: 37, 39, 41, 46, 55, 57, 58, 64, 72, 90.

Step 2: Calculate Q1, which is the median of the lower half of the data. In this case, the lower half is {37, 39, 41, 46, 55}. The median of this lower half is 41.

Step 3: Calculate Q3, which is the median of the upper half of the data. In this case, the upper half is {58, 64, 72, 90}. The median of this upper half is 68.

Step 4: Calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 68 - 41 = 27.

Step 5: Calculate the lower fence by subtracting 1.5 times the IQR from Q1: Lower Fence = Q1 - (1.5 * IQR) = 41 - (1.5 * 27) = 41 - 40.5 = 0.5.

Step 6: Calculate the upper fence by adding 1.5 times the IQR to Q3: Upper Fence = Q3 + (1.5 * IQR) = 68 + (1.5 * 27) = 68 + 40.5 = 108.5.

Therefore, the lower fence is 0.5 and the upper fence is 108.5 for the given data set.

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Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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The area of segment enclosed by chord [BC] is 0.94 \(cm^{2}\)

Segment and area of a circle segment:

A segment is essentially the area of a circle between the chord and the arc. A circle is a path that a point equidistant from a single point on the plane can follow; this point is known as the circle's center, and the distance between it and that point is known as the circle's radius. A segment is a section of a circle's interior. A sector is the region that a segment encloses and the angle that a segment occupies. By deducting the triangle formed inside the sector from the sector where the segment is located, one can calculate the area of a circular segment.

Given radius and angle subtended by arc on circle is 4 cm and 55° respectively.

So the length of chord [BC] is \(\frac{55}{180}\)×π = 3.84 cm.

Required area of segment enclosed = Area of segment subtended by arc [BC] - area of ΔABC

>semi-perimeter of ΔABC is \(\frac{(4+4+3.84)}{2} = 5.92\)

>Area of ΔABC is \(\sqrt{5.92*(5.92-4)*(5.92-4)*(5.92-3.84)} = 6.74 cm^{2}\)

>Area of segment subtended by arc {BC} = θ/360° × π\(r^{2}\)

                                                                     =\(\frac{55}{180}\)×16π

                                                                     = 7.68\(cm^{2}\)

∴The area of segment enclosed by chord [BC] is \(7.68-6.74 = 0.94 cm^{2}\)

The area of segment enclosed by chord [BC] is 0.94 \(cm^{2}\)

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Answer:

Student B is incorrect

Step-by-step explanation:

They added terms with variables of different powers.

Answer:

Step-by-step explanation:

\(\frac{X}{2} =\frac{X+2}{3} \\\\3x=2x+4\\\\x=4\)

hope it helps....

The statement is False. The expression evaluates to 2.0, not 2.5.

The expression (double) (10 / 4) involves several steps of evaluation. Let's break it down to understand the process.

Integer Division: The division operation 10 / 4 is performed first. In integer division, the result is the quotient of the division without any decimal places. In this case, 10 / 4 equals 2, as the fractional part is truncated.

Type Casting: The expression (double) is a type cast that converts the result of the division to a double data type. However, the type casting occurs after the integer division has already taken place. So, the result of the type casting will not affect the value obtained in the integer division.

As a result, the expression (double) (10 / 4) evaluates to 2.0, not 2.5. The value 2.0 is a double representation of the integer 2. The type casting only affects the data type of the value, not its actual numerical value.

Therefore, the statement "The following expression will evaluate to 2.5: (double) (10 / 4)" is false. The expression evaluates to 2.0.

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True. The expression (double) (10 / 4) will evaluate to 2.5.

To evaluate the given expression, we need to follow the order of operations. First, we have the casting operation, which involves converting the result of the division to a double data type. Then, we have the division operation, which involves dividing 10 by 4.

Let's break down the steps:

Therefore, the expression (double) (10 / 4) will evaluate to 2.5.

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Answer:

$2.25

Step-by-step explanation:

You have to set up a proportion to show how much the cost of milk is when discounted per gallon. 0% off, the milk would be $3.75. 40% off, the milk would be x. Now I flipped the percents because that is how much you are actually paying.

Proportion would look something like this:

3.75/100 = x/60

solve for x:

225 = 100x

x= 2.25

Triangle a b c is cut by line segment f g. line segment f g goes from side a b to side a c. then x= 9

The problem description can be shown in the figure below. Since FG is parallel to BC, both sides AB and AC are split in proportional segments. It can be expressed in several ways. We'll use this one:

x+1/x+6= x-1/x+3

Operating in both sides:

4x+3=5x-6

Simplifying

x=9

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Answer: D). 9

Step-by-step explanation:

Answer:

y = 5x +23

Step-by-step explanation

y = mx + b

the gradient ; m = 5 (given)

to find y=int, b, plug in the coordinate into y = mx + b;

3 = 5(-4) + b

3 = -20 + b

b = 23

so, we got y = 5x + 23

For given data , the equation of the regression line is:

y = 2.03 ln(x) - 0.205

Consider given data.

x  1 |  2   |   3   |  4    |   5        

y  1 | 21  | 121 | 621 | 3121

We need to find the equation of the regression line, if the given data linearized using logarithms.

Now we find the logarithms of y-values.

log(1) = 0

log(21) = 1.322

log(121) = 2.0828

log(621) = 2.7931

log(3121) = 3.4943

So, we get coordinates of the points: (1, 0), (2, 1.322), (3, 2.0828), (4, 2.7931), (5, 3.4943)

from the graph of given data, the equation of the regression line is:

y = 2.03 ln(x) - 0.205

where slope of the regression line is 2.03

and the y-intercept is c = -0.205

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The Restaurant feet  IS 13

step1:

The area of the walls can be written as:

Aw=h(2i+2w)

We can plug in given values:

Aw=2(2(.5)+2(5.5)=13

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Answer:

x = -5

Step-by-step explanation:

Solve for x:

(x + 5)^2 = 0

Take the square root of both sides:

x + 5 = 0

Subtract 5 from both sides:

Answer:  x = -5

Answer:

um, how would anyone knowthis...

Step-by-step explanation:

The correct statement is three fourths raised to the fourteenth power.

The Power rule for exponents: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power. Negative exponent rule: x–n = 1/xn. Invert the base to change a negative exponent into a positive.

The important laws of exponents are :

Given:

(((3/4)^4 * (3/4)^3)^2

Now,

((3/4)^ ( 4+3))^2

=((3/4)^7)^2

=(3/4) ^(7*2)

=(3/4)^14

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The option are:

nine sixteenths raised to the twenty fourth power

nine sixteenths raised to the fourteenth power

three fourths raised to the twenty fourth power

three fourths raised to the fourteenth power

The conclusion regarding the publisher's claim is that it is incorrect if the potential advertiser rejects the null hypothesis. A newsletter publisher believes that less than 65% 65 % of their readers own a personal computer. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 0.02 level of significance, the advertiser decides to reject the null hypothesis.

What is a null hypothesis?

The null hypothesis is a fundamental idea in inferential statistics that represents the null assumption. It's frequently utilized to compare datasets and decide whether any differences between them are real or just by chance.

It is also called H0. It is the default theory that no difference exists between two tested populations or data sets.

A hypothesis test is a way of deciding whether the data supports or disproves the null hypothesis. If the null hypothesis is incorrect, it is referred to as a Type I error. If it is true and the data leads to its rejection, it is known as a Type II error.

Thus, after performing the test at the 0.02 level of significance, if the potential advertiser decides to reject the null hypothesis, the publisher's claim is incorrect.

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Answer:

x=8

Step-by-step explanation:

18/6 = 3

Take the ratio which is 3:1 and apply it to the other unknown side

15/3 = 5 So,

5 = 2x-11 Solve algebraically to get x = 8 which would make that side length 5

Answer: x = -7 and y = 10

4x - y = - 38

x + y = 3

y = 3-x

4x - y = - 38

4x -(3-x) = -38

4x - 3 + x = - 38

5x = - 38 + 3

x = - 35/5

x = -7

x + y = 3

- 7 + y = 3

y = 3+7

y = 10

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Answer:

a. The monthly payment of the 5-year loan would be the same as the monthly payment of the 4-year loan, since they have the same interest rate.

b. Since the 5-year loan has a longer repayment period, the total interest paid on the 5-year loan would be higher than the total interest paid on the 4-year loan. This is because interest is calculated based on the principal amount borrowed, and the longer the repayment period, the more interest will accrue.

As for the second part of the question, the length of the diagonal of a rectangle can be calculated using the Pythagorean theorem. In this case, the length of the diagonal would be:

Copy code

d = sqrt(20^2 + 15^2)

d = sqrt(400 + 225)

d = sqrt(625)

d = 25 feet

Therefore, the diagonal of the rectangular garden would be 25 feet long.

The slope of the line parallel to the line on the graph (0,-3) (5,-4) is - 1 / 5

Parallel lines have the same slope.

Therefore,

slope = m = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = 0

x₂ = 5

y₁ = -3

y₂ = -4

Therefore,

slope = -4 - (-3)  / 5 - 0

slope = -4 + 3 / 5

slope = - 1 / 5

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Answer:

rational

Step-by-step explanation:

Hope this helps!

If not I am sorry

let's keep in mind that that same/same = 1 always, so then we can say

\(\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}\)

well, "1" is a whole number

"1" is also an integer oddly enough

"1" can be written as a ration like 1/1, so is also rational.

Answer:

she spent 11.75$ total

Step-by-step explanation:

9.50+2.25=11.75