suppose an actual census showed that 18.4% of the households in california have incomes in excess of $50,000. the probability that the sample proportion will be 0.22 or greater for a random sample of 750 households is:

Answer: 6 Painters

Step-by-step explanation:

Total painters needed to paint 7-room house = 3 painters

Rooms painted by each painter = 3/7

Total painters needed to paint 14-room house = 3/7×14

= 42/7

= 6 painters

Therefore it will require 6 painters to paint 14-room house

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Answer:

Step-by-step explanation:

2nd one, 3rd one, and 5th one

Answer:

28

Step-by-step explanation:

- Short-run market equilibrium price: 42.5

- Long-run market equilibrium price: 40

- Number of firms in long-run equilibrium: 40

To find the short-run market equilibrium price, we need to equate the market demand and market supply. The market demand is given by Q = 2000 - 25p, and since there are 50 firms producing the watches, the market supply is 50q, where q is the quantity produced by each firm. Setting the market demand equal to the market supply, we have 2000 - 25p = 50q.

To find the short-run equilibrium price, we need to solve for p when q is determined by the cost curve C = 100 + 20q + \(q^{2}\). By substituting the market supply equation into the cost curve, we get C = 100 + 20\((2000 - 25p) + (2000 - 25p)^{2}\). Simplifying and rearranging, we obtain a quadratic equation: 625\(p^{2}\) - 40000p + 798500 = 0. Solving this equation, we find p ≈ 42.5.

To find the long-run market equilibrium price, we need to consider the condition of zero economic profit in the long run. In a perfectly competitive market, firms will enter or exit the industry until economic profit is driven to zero. Since the cost curve C = 100 + 20q + \(q^{2}\) represents both the short-run and long-run cost curve, we can find the long-run equilibrium price by setting C equal to the market price p. Setting p = 100 + 20q + \(q^{2}\), we can solve for q and find that q ≈ 20. Substituting q back into the market demand equation, we find the long-run equilibrium price p ≈ 40.

The number of firms in long-run equilibrium can be determined by dividing the total market supply by the quantity produced by each firm. Since the market supply is 50q and q ≈ 20, we have 50q / q ≈ 50 firms in long-run equilibrium. Therefore, the number of firms in long-run equilibrium is approximately 40.

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The bucket number 2 will contain 45 after sorting the data.

According to the statement

we have given that the a data list which is sorted into 4 buckets then we have to find he in which the umber 45 is sorted.

So, For this purpose,

The given data list is:

76, 56, 93, 24, 45, 88, 13, 7, 37

And the data is sorted into the buckets so,it is sorted in 4 buckets. and the data contain numbers from 0 to 100.

So, let the sorting.

We know that the 100 numbers are sorted in 4 buckets then it means each bucket contain 25 numbers.

So, let us consider a

BUCKET 1 : 0 to 25

it contains the data number 7, 13,24.

Now,

BUCKET 2 : 25 to 50

it contains the data number 37,45.

Now,

BUCKET 3 : 50 to 75

it contains the data number 56.

Now,

BUCKET 4 : 75 to 100

it contains the data number 76, 88, 93.

From sorting the 45 number sort in the bucket 2.

So,The bucket number 2 will contain 45 after sorting the data.

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8.4n - 3.2p

8.4(2) - 3.2(4)

8.8 - 3.8

64 - 24

40

The value is 40//

\(\huge\colorbox{ffc000}{♛} \huge\colorbox{ff0000}{a} \colorbox{ff4000}{l} \colorbox{ff8000}{f}\colorbox{ffc000}{i}\colorbox{ffff00}{a}\colorbox{c0ff00}{p}\colorbox{ffc000}{♛}\)

Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

Answer:

x = 39.1

Step-by-step explanation:

To find the mean, add up all the data points and then divide by the number of data points

(31.7+ 42.8+ 26.4+ x)/4 = 35

Multiply each side by 4

(31.7+ 42.8+ 26.4+ x)/4*4 = 35*4

(31.7+ 42.8+ 26.4+ x) = 140

Combine like terms

100.9+x = 140

Subtract 100.9 from each side

x = 140-100.9

x = 39.1

Answer: I believe it's 5 I am not sure

Step-by-step explanation:

========================================================

Explanation:

Consider a triangle with side lengths a,b,c such that a < b < c

a = 3 and b = 19 are the two known sides

Let c be the missing side length

The missing side has the property that...

b-a < c < b+a

19-3 < c < 19+3

16 < c < 22

Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}

So c = 21 is the largest possible third side, where only whole number sides are considered.

We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.

---------------

Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.

Answer:

see explanation

Step-by-step explanation:

using the identity

cos²x = 1 - sin²x

consider the left side

\(\frac{1-cosx}{sinx}\)

multiply numerator/ denominator by (1 + cosx)

= \(\frac{(1-cosx)(1+cosx)}{sinx(1+cosx)}\) ← expand numerator

= \(\frac{1-cos^2x}{sinx(1+cosx)}\)

= \(\frac{sin^2x}{sinx(1+cosx)}\) ← cancel sinx on numerator/ denominator

= \(\frac{sinx}{1+cosx}\)

= right side , thus proven

Answer:

and what is it that ur stuck on?

Step-by-step explanation:

x=27

Answer:

A

Step-by-step explanation:

sin 30 = y/7

Sin is being used and there is only one option with sin in it, so that is the right one.

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

To determine which of the given sets is a subspace of ℝ³, check if they satisfy the 3 properties of a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

In summary, the only set that is a subspace of ℝ³ is W = {(a, b, 1): a and b are real numbers}.

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Answer:

11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2

Step-by-step explanation:

Answer:

$01.70

Step-by-step explanation:

Answer:

it will cost 170 $ total ....

Answer:

Is the equation g(x)=-4*(1/2)^(x+1) ?

I'll use y=-4*(1/2)^(x+1)

Step-by-step explanation:

See attached graph

Use the free online DESMOS app to either plot the entire equation, or to plot individual points for a selected number of x values.  

=============

For example:  Pick several values of x and calculate the resulting g(x).  Plot the x and result (y) as ordered pairs on the graph.

X     Y           Ordered Pair

-5  -64              (-5, -64)

-3  -16               (-3, -16)

 0   -2               (0, -2)

 2  -(1/2)           (2, -1/2)

 5  - (1/18)         (5, -1/18)

10  -(1/512)      (10, -1/512)

The solid S is bounded by the following surfaces: a circular cylinder given by x² + z² = 4, a parabolic surface given by y = 3x² + 3x², and the xy-plane y = 0.

To sketch S, visualize a circular cylinder with radius 2 along the xz-plane. The parabolic surface intersects the cylinder, forming a curved boundary on its side. The xy-plane acts as the bottom boundary, enclosing the solid from below. The resulting solid S can be visualized as a combination of the circular cylinder and the curved parabolic shape within it, with the xy-plane serving as the base. Label the cylindrical surface, parabolic surface, and xy-plane to indicate their respective boundaries.

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In complex number a+ib a is real and ib is the imaginary part.

Complex numbers are the numbers that are communicated as a+ib where, a,b are genuine numbers and 'I' is a fanciful number called "particle". The worth of I = (√-1). For instance, 2+3i is a complicated number, where 2 is a genuine number (Re) and 3i is a imaginary number (Im).

We have, a + ib is a complex number in mathematics

where a is the real part and ib is the imaginary part of the complex number.

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The answer is 0.75 because I took the test and that's what the answer was :)

Answer:

Step-by-step explanation:

3(2x-4)-5(x+3)/3

6x-12-(5x)/3-1

6x-5x/3-13

13x/3 - 13

13(x/3 - 1) its simplest form of given expression

Answer:

Point of information.

Step-by-step explanation:

A point of information (POI) is a question or a statement, that is raised while a speaker of the opposing team is speaking. You are allowed to raise a POI at any time in the speech, but not during the protected time. Protected are the first and the last minute of the speech.

Hope this helped!

Cycles R Us sold 100 bikes more than Peer's Bike store in week zero.

   Peer's Bike store sold 50 bikes more than Cycles R Us bikes store.

        \(y(t)=y_0(1+r)^t\)

        Where, \(y(t)=\) Final value

        \(y_0=\) Initial value

        \(r=\) rate of increase

        \(t=\) Time or duration

Given in the question,

        \(y(t)=150(1.3)^t\)

        At t = 0,

        \(y(0)=150(1.3)^0\)

        \(y(0)=150\)

        \(y(t)=y_0(1+r)^t\)

        From the graph attached,

        At t = 0 , \(y_0=100\)

Difference in the bikes sold at Peer's Bike store and Cycles R Us bikes store = \(150-100\)

         = \(50\)

      Therefore, 50 more bikes were sold at Peer's Bike shop than at Cycles R Us store.

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Answer:

\(2x + 3y \leq 18\)

Step-by-step explanation:

Given :

fuel x is $2 i.e $2x

fuel y is $3  i.e $2y

As mention in the question the cost will be almost $18 to spending the fuel

So

Linear equation can be written as

\(2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0\)

Answer:

2x + 3y <= 18, x >= 0, and y >= 0

Step-by-step explanation:

The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

Answer: x - 15

Step-by-step explanation:

The answer is x - 15

Answer:

x-15

Step-by-step explanation:

The business records related amounts in their respective accounts known as ledger accounts.

All such accounts are assembled in a book or collection called the

ledger.

All the accounts, including assets, liabilities, equity, revenues, and expenses, that are required to adequately portray a company's financial operations are included in the General Ledger.

Financial statements like the balance sheet, income statement, and cash flow statement are created from the accounts in the general ledger and offer an overview of the company's financial situation.

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The domain and the range for the function in this problem are given as follows:

The function in this problem is defined for all real values of x, hence the domain is all reals.

The horizontal asymptote of the function is y = -2, hence the range is given as follows:

y < -2.

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Answer:

the point of interception is where the graphs meets

in this case we will solve using substition method

x + 5y = 8 .... 1

-x + 2y = -1 .....2

solve for the equation

x = 8 - 5y ...... 3

solve the equation in equation 2

-x + 2y = -1

-(8-5y ) + 2y = -1

-8 +5y + 2y = -1

7y = -1 + 8

7y = 7

divided by 7 on both sides

y = 1

solve the value of y in equation 3

x = 8 - 5y

x = 8 - 5(1)

x = 8 -5

x = 3

the point of interception (3 ; 1)

Answer:

c = 110-degrees

b = 70-degrees

Step-by-step explanation:

for c:

linear pair which means it equals 180-degrees

70 + c = 180 *subtract 70 from both sides*

c = 110

for b:

vertical angles are equal

b = 70-degrees