y-3=1/6(x-6)
................

The blanks that are missing in the sequence are -3 and 11

from the question, we have the following parameters that can be used in our computation:

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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Answer:

36%

Step-by-step explanation:

You know that 1 pound costs $3.85.

Knowing this, let's check each option given in the problem.

The procedure is: multiply the amount of pounds shown in each option by $3.85.

Then:

A) 5 pounds for $19.25;

This rate is proportional to $3.85 per 1 pound .

B) $7.70 for 2 pounds:

This rate is proportional to $3.85 per 1 pound .

C) 4 pounds for $15.10:

This rate is not proportional to $3.85 per 1 pound.

D) $10.00 for 3 pounds:

This rate is not proportional to $3.85 per 1 pound.

E) 10 pounds for $38.50:

This rate is proportional to $3.85 per 1 pound.

F) $28.75 for 9 pounds:

This rate is not proportional to $3.85 per 1 pound.

Therefore, the answers are:

A) 5 pounds for $19.25

B) $7.70 for 2 pounds.

E) 10 pounds for $38.50

SOLUTION

Step 1 :

In this question, we are told that the administrator of a large middle school is installing some vending machine in the school.

She wants to know what type of machine would be popular.

In getting the population for the administration;s question , she need to use the population of the school.

Step 2 :

An example of the sample the administrator could use to help answer her question is Stratified Sampling.

CONCLUSION:

1. In getting the population for the administration's question , she need to use the population of the school.

2. An example of the sample the administrator could use to help answer her question is Stratified Sampling.

Answer:

39.9

Step-by-step explanation:

Rectangle: area = length × width

Semicircle: area = 0.5πr²

total area = 9 × 6 - 0.5 × 3.14159 × 3²

total area = 39.9

Answer:

X =3.410

Step-by-step explanation:

Sin(angle) = opposite/hypotenuse

Sin(43) =x/5

0.6819 = x/5

X = 3.41

Insta: lankey.t

The expression can be simplified to obtain as 9 + 6t.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is 9 + 12t – 6t.

It can be simplified as follows,

9 + 12t – 6t

Here 9 is a constant.

And, the terms 12t and 6t have the same variable t.

Which implies they are like terms.

Since the like terms in an expression can be added to subtracted, the given expression can be simplified as below,

9 + 12t – 6t

⇒ 9 + 6t

Hence, the simplification of the given expression results as 9 + 6t.

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The diameter of the circle, given the radius of 8 m, can be found to be 16 m.

One can discover the diameter of a circle, based on its radius, by multiplying the radius value with 2 since the length of the diameter is twice that of the former.

Comparatively, another segment of equal distance measured between the central position of the same given circle to only one point found within the border outline is called the radius. Henceforth, simply duplicating the established radius equivalent will provide conclusive knowledge of its corresponding diameter measure.

The diameter is therefore :

= 8 x 2

= 16 meters

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On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.

Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.

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Answer:

A system of equations is when two equations equal each other. In this case, f(x) and g(x) must equal each other.

f(x) - g(x) = 0

x^2 - x + 4 - (x - 4) = 0

x^2 - 2x - 4 = 0

Using the Quadratic Formula:

x = (2 ± √20)/2

Therefore, the values for x are x = 2 and x = -3.

Answer:

2 Units wide , 6 units long

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

a) Determine the joint probability distribution of W and Z

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

B) Marginal distribution of W

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

C) Marginal distribution of Z ( pmf of Z )

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

Part(a): The required joint probability of W and Z is ,

\(P(0,0)=0.36,P(1,0)=0.24,P(2,0)=0,P(0,1)=0,P(1,1)=0.24,\\\\P(2,1)=0.16\)

Part(b): The pmf (marginal distribution) of W is,

\(P(w=0)=0.36,P(w=1)=0.48,P(w=2)=0.16\)

Part(c): The pmf (marginal distribution) of Z is,

\(P(z=0)=0.6,P(z=1)=0.4\)

Part(a):

The joint distribution is,

\(P(w=0\z=0)=0.6,P(w=1|z=0)=0.4,P(w=2|z=0)=0\)

Also,

\(P(w=0\z=1)=0,P(w=1|z=1)=0.6,P(w=2|z=1)=0.4\)

Therefore,

\(P(0,0)=0.36,P(1,0)=0.24,P(2,0)=0,P(0,1)=0,P(1,1)=0.24,\\\\P(2,1)=0.16\)

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Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Hence, the appropriate scale factor is k = 2/5 . He made a serious mathematical error in his transforms.

The relationship of an object's construct measures to that of its new, smaller representation is known as the scale factor (bigger or smaller). For example, to make a rectangle with side of 2 cm and 4 cm longer, scale each side by a specific integer, in this case 2. If the original and new dimensions are known, it is possible to compute the weighting factor. The following simplistic formula can be used to obtain a figure's scale factor: Scale factor is equal to the new shape's size divided by the original structure's diameter. Ponder about two figures those are the same except for their size.

given

Based on the illustration:

Triangle ABC in the pre-image has these coordinates:

B(-5, 0), C(0, 5), and A (0, 5) (5, -5)

and

The image triangle's A'B'C' coordinates are;

B'(-2, 0), C'(0, 2), and A' (2, -2)

The scale factor k and origin-centered rule of dilation is given by;

(x,y ) - (kx,ky)

finding k;

A'(0, 2) = A'(0, 5k) (0, 5k)

Comparing the two sides, we discover;

5k = 2

k = 2/5

Hence, the appropriate scale factor is k = 2/5 . He made a serious mathematical error in his transforms.

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Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.86 feet.

All sides and corners are absent from the spherical shape of a circle. Geometry refers to a circle as a closed, curved, two-dimensional object.

The circumference of a circle is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the circle. We are given that the circumference of the inner circle is 44 feet, so we can find the radius of the inner circle as follows:

44 = 2(22/7)r

r = 7

The distance between the inner and outer circles is given as 3 feet. Therefore, the radius of the outer circle is:

r' = r + 3 = 7 + 3 = 10

The circumference of the outer circle can be found as:

C' = 2πr' = 2(22/7)(10) = 62.86 feet (rounded to the nearest hundredth)

The difference between the circumference of the outer circle and the inner circle is:

C' - C = 62.86 - 44 = 18.86 feet (rounded to the nearest hundredth)

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.86 feet.

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The circumference οf the οuter circle is greater than the circumference οf the inner circle by apprοximately 6.28 feet, rοunded tο the nearest hundredth οf a fοοt.

Circumference is the distance arοund the edge οf a clοsed circular οbject, such as a circle, an ellipse, οr a sphere. It is the length οf the bοundary οf the shape. The fοrmula fοr finding the circumference οf a circle is C = 2πr, where C is the circumference, π (pi) is a mathematical cοnstant apprοximately equal tο 3.14, and r is the radius οf the circle.

The circumference οf a circle is given by the fοrmula C = 2πr, where C is the circumference and r is the radius οf the circle.

Let's first find the radius οf the inner circle. Since the circumference is given as 44 feet, we can set up the equatiοn:

44 = 2πr

Sοlving fοr r, we get:

r = 44/(2π) ≈ 7

Sο the radius οf the inner circle is apprοximately 7 feet.

The radius οf the οuter circle is 3 feet mοre than the radius οf the inner circle. Sο the radius οf the οuter circle is:

r + 3 = 7 + 3 = 10

The circumference οf the οuter circle is:

C = 2π(r + 3) = 2π(10) = 20π ≈ 62.83

The circumference οf the inner circle is:

C = 2πr = 2π(7) = 14π ≈ 43.98

The difference between the twο circumferences is:

20π - 14π ≈ 6.28

Hence, the circumference οf the οuter circle is greater than the circumference οf the inner circle by apprοximately 6.28 feet, rοunded tο the nearest hundredth οf a fοοt.

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\(\frac {2}{2} + \frac {3}{3}\)

\(1 + 1 \)

2

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_________

\( \: \)

\( \frac{2}{2} + \frac{3}{3} = ...\)

\( = (2 \div 2) + (3 \div 3)\)

\( = 1 + 1\)

= 2

Using the power reducing formulas the expression \(5cos^4(x) = 5(1 + cos(2x))^{2/4}\).

We can define higher powers of a trigonometric function in terms of lower powers of the same function using the power-reducing formulas, which are trigonometric identities. Higher powers of cosine can be expressed using this formula in terms of sine and cosine's initial powers. For the other trigonometric functions, such as sine and tangent, there are equivalent formulas. These formulas can be used to solve trigonometric equations and to simplify trigonometric expressions.

The given function is 5cos^4(x).

Now, the power reducing formulas are given by:

\(cos(2x) = cos^2(x) - sin^2(x) = 2cos^2(x) - 1\\cos^2(x) = (1 + cos(2x))/2\)

Substituting the value of second equation in 1 we have:

cos(2x) = 2(1 + cos(2x))/4 - 1

\(cos(2x) = (2cos^2(x) - 1) = cos^2(x) - sin^2(x)\)

Now we have:

\(cos^2(x) = (1 + cos(2x))/2\)

Thus,

\(cos^4(x) = (1 + cos(2x))/2)^2\)

Now multiplying by 5:

\(5cos^4(x) = 5(1 + cos(2x))^{2/4}\)

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The pooled standard deviation is 1.897

The pooled standard deviation is a method for estimating a single standard deviation to represent all independent samples or groups in your study when they are assumed to come from populations with a common standard deviation. The pooled standard deviation is the average spread of all data points about their group mean (not the overall mean). It is a weighted average of each group's standard deviation. The weighting gives larger groups a proportionally greater effect on the overall estimate. Pooled standard deviations are used in 2-sample t-tests, ANOVAs, control charts, and capability analysis.

Pooled standard deviation =

\(=\sqrt{\frac{(n1-1)s1^{2} +(n2-1)s2^{2} }{n1+n2-2} } \\=\sqrt{\frac{(21-1)4.3+(11-1)2.2}{21+11-2} } \\\\=1.897\)

Thus the value pooled standard deviation is 1.897.

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Answer:

true

Explanation

1. if a man has a hundred apples and like to share between 20 men. this has to be equal.

5 to 1man.

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Hey there! :)

Answer:

x > 9/5.

Step-by-step explanation:

Given:

2/3x - 1/5 > 1

Start by adding 1/5 to both sides:

2/3x > 1 + 1/5

2/3x > 6/5

Divide 2/3 from both sides by multiplying by the reciprocal:

2/3x × 3/2 > 6/5 × 3/2

x > 18/10

Simplify:

x > 9/5.

We have the following info given:

57,64,66,66,67,69,71,72,73,75,75

We can start with the masn given by this formula:

And replacing we got:

For the mode we can see that we have two values 66 and 75

For the median we just need to select the middle value (at position 6) from the data ordered and we got:

and for the range we can use this definition:

And replacing we got:

Because the scores in Class A are more closely clustered, the standard deviation is smaller than in class B. Hence, option A is the correct answer to this question.

The average score for Class A is around 4, while the scores in Class B are evenly distributed with an average of 2.5. Because the scores in Class A are more closely clustered around the average, the standard deviation in Class A is likely to be smaller than in Class B.

The standard deviation measures the spread of the data from the mean, so if the data are more tightly clustered around the mean, the standard deviation will be smaller.

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The complete question is -

the dot plots show the distributions of scores on a current events quiz for two classes of 24 students each. which of the following statements about the standard deviations of the two distributions is true?

a. The standard deviation of quiz scores in Class A is less than that of quiz scores in Class B.

b. The standard deviation of quiz scores in Class A is greater than that of quiz scores in Class B.

c. The standard deviation of quiz scores in Class A is equal to that of quiz scores in Class B.

d. There is not enough information to compare the standard deviations.

Using proportions, it is found that the total amount budgeted for entertainment is of $720.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:

0.1x = 72

x = 72/0.1

x = 720.

Hence the total amount budgeted for entertainment is of $720.

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Answer:

In discrete domain functions there are no intervals.

In continuous domain functions there are intervals and in between values.

Step-by-step explanation:

Domain of a function is set of all inputs that are possible for a given function. When the domain function is discrete there will be no intervals. These values are defined and separate from other values. If domain function is continuous then there will be intervals and the values can be in fraction or decimals.

Answer:

discrete is the answer

Step-by-step explanation:

had a green. ✔

Answer:

C) 5040

Step-by-step explanation:

\(7!=7*6*5*4*3*2*1=5040\)

Answer:

5040

Step-by-step explanation:

! means take multiply that number and all the number down to 1

7! = 7*6*5*4*3*2*1

   =5040

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

The formula for y in terms of x is y=160​/x^2.

We are given that;

y = 20 when t=4

And t = 8 when x = 2

Now,

To find the value of k by using the fact that y = 20 when t = 4:

20=k⋅4

k=5

Also, y=5t

Next, we use the fact that t is inversely proportional to the square of x. We can write:

t=x2k​

where k is a constant of proportionality. We can find the value of k by using the fact that t = 8 when x = 2:

8=22k​

k=32

Now we know that:

t=x232​

Substituting this into the equation for y:

y=5t=5⋅x232​=160​/x^2

Therefore, by proportions the answer will be y=160​/x^2.

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