LaShawn designs websites for local businesses. He charges $25 an hour to build a website, and charges $15 an hour to update websites once he builds them. He wants to earn at least $100 every week, but he does not want to work more than 6 hours each week. What is a possible weekly number of hours LaShawn can spend building websites x and updating websites y that will allow him to obtain his goals?

Answer:

y= 128,  x=52

Step-by-step explanation:

The Sum of all the angles in a quadrilateral is 360.

y is 128 because both those angles are equal

the other 2 angles are also equal to each other.

360 - 128-128= 104

104/2 is 52

Answer:

Step-by-step explanation:

y = 128

x + y = 180 {Supplementary}

x + 128 = 180

x = 180 - 128

x = 52

The 4.89 hours after midnight did the temperature first hit 63 degrees.

A sinusoidal function can be used to mimic the daily variation in outdoor temperature. Assume you are aware that the daily average temperature starts at 9 am and swings between 60 and 70 degrees throughout the day.

We have to find to two decimal places, how many hours after midnight did the temperature first hit 63 degrees.

Max T=70 and Min T=60

D = (Max + Min)/2

   = 70+60/2

   = 65

A = Max- D

   = 70 - 65

   = 5

Since,

Period is 24 hours,

So,

W = 2π/24

   = π/12

The function will be:

T(t) = 5 Sin (π/12(t-C)) + 65

Given average temperature occurs at 8 am so,

T(9)=65

Solving this we get

C=9

Hence,

T(t)= 5Sin(π/12( t-9))+65

Now,

We need to find t such that T(t)=63

63=5Sin(π/12( t-9))+65

t = 4.89 hours.

Therefore, The 4.89 hours after midnight did the temperature first hit 63 degrees.

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Answer:

C) 260 m3

Step-by-step explanation:

The planes will both meet in 53 seconds based on the information.

From the information, Plane A is at an altitude of 5000 feet and Plane B is at an altitude of 4207 feet. Plane A is gaining altitude at 45.25 feet per second and Plane B is gaining altitude at 60.5 feet per second.

The equation will be:

5000 + 45.25f = 4207 + 60.5f

Collect the like terms

60.5f - 45.25f = 5000 - 4207

15.25f = 793

Divide

f = 793 / 15.25

f = 53

They'll meet in 53 seconds.

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An air traffic controller Is tracking two planes. To start, Plane A is at an altitude of 5000 feet and Plane B is at an altitude of 4207 feet. Plane A is gaining altitude at 45.25 feet per second and Plane B is gaining altitude at 60.5 feet per second. When will that meet

seconds:

feet:

Answer:

560

Step-by-step explanation:

check the attached file, I am a maths expert...kindly check the answer

Given that a spinner is divided into six equal-sized sectors labeled 1 through 6 and Dwayne spins this spinner 12 times. Let X represent the number of 1s that are spun.

We need to find the mean and standard deviation of X.Mean of X:Mean of a binomial distribution is given by the formula:μx = n * Pwhere n is the number of trials and P is the probability of success.Here, n = 12 and P = Probability of getting 1 on a single spin = 1/6.∴ μx = 12 × (1/6) = 2Standard Deviation of X:Standard deviation of a binomial distribution is given by the formula.

σx = √(n × P × Q)Where Q is the probability of failure and is given by:Q = 1 - PHere, n = 12, P = Probability of getting 1 on a single spin = 1/6 and Q = 1 - P = 5/6.∴ σx = √(12 × (1/6) × (5/6))= √1 = 1Hence, the mean and standard deviation of X are:Mean = 2Standard deviation = 1Therefore, the option that represents the correct values of mean and standard deviation of X is:Mu Subscript x Baseline = 2, Sigma Subscript x Baseline = 1.

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Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

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The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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P(A or B) = 7/10. (Probability of obtaining a prime number or an even number is 7 out of 10 possible numbers.)

To calculate the probability of Event A or Event B occurring, we add the probabilities of Event A and Event B and subtract the probability of their intersection.

Event A is obtaining a prime number, with 4 out of 10 possibilities.

Event B is obtaining an even number, with 5 out of 10 possibilities. The intersection of A and B is the number 2, which satisfies both conditions.

Therefore, P(A or B) = P(A) + P(B) - P(A and B) = 4/10 + 5/10 - 1/10 = 7/10. Hence, the probability of Event A or Event B is 7/10.

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Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

  x = 6.5 ft

The length of the ladder = 6.5 ft

Answer:

-23.52

Step-by-step explanation:

Just multiply them man

Answer:

x = -2

Step-by-step explanation:

The point estimator for the difference between two populations proportion in favor of this product is 0.09.

In the given question, the results of a recent poll on the preference of shoppers regarding two products are shown below.

Product             Shoppers Surveyed        Shoppers Favoring this Product               a                                       800                                          560

b                                       900                                          549

We have to find the point estimate for the difference between the two population proportions in favor of this product.

n(1)=800, x(1)=560

n(2)=900, x(2)=549

P(1)=x(1)/n(1)

P(1)=0.7

P(2)=x(2)/n(2)

P(2)=0.61

The point estimator for the difference between two populations proportion in favor of this product is

P(1) - P(2)=0.7-0.61

P(1) - P(2)=0.09

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Step-by-step explanation:

Distributive property

The value of horizontal thrust can be calculated using the following formula;  F_h= 1/2Pcot(a) Where P is the total load applied on the dome P = 1.5 kN/m.Cot a = 1.88F_h= 1/2 × 1.5 × 1.88= 1.41 kN/m Let us calculate the weight of the dome (W). W = unit weight of reinforced concrete × volume of the dome= 25 × t × [(π/6)(R³ + r³) + π Rr (H/2)] Where, R = base radius = 15 m, r = top radius = 14.925 m and H = total height of the dome= 3.75 m, t = thickness of the dome= 75 mm (0.075 m)π = 3.14W = 25 × 0.075 × [(π/6)(15³ + 14.925³) + π × 15 × 14.925 × (3.75/2)]= 1170 kNThe total horizontal force can be given as the sum of half the weight of the dome and the horizontal thrust. F = 1/2 W + F_h= 1/2 × 1170 + 1.41= 588 + 1.41= 589.41 kN The thickness of the ring beam can be calculated as follows; F/2 = [(π/4) (D² - d²) × f_c] + [A_s (f_y/γ_s) - A_p (f_p/γ_p)]Where, D = external diameter of the ring beam, d = internal diameter of the ring beam.f_c = permissible compressive stress in concrete at transfer = 14 N/mm²f_y = characteristic strength of reinforcement steel = 460 N/mm²γ_s = partial safety factor for reinforcement = 1.15A_s = area of reinforcement steel = (π/4) × (5 mm)² = 19.63 mm²/mf_p = initial prestressing force per unit length of wire= 1000 N/mm²A_p = area of the high tensile wire used for prestressing the ring beamγ_p = partial safety factor for prestressing steel = 1.05(1 - 0.75) = 0.25D - d = 0.3 mF/2 = [(π/4) (D² - d²) × f_c] + [A_s (f_y/γ_s) - A_p (f_p/γ_p)]589.41/2 = [(π/4) (D² - d²) × 14] + [19.63 × (460/1.15) - (π × 5²/4) × (1000 × 0.25)]294.705 = [(π/4) (D² - d²) × 14] + 241.509 - 245.04425.2405 = (π/4) (D² - d²) × 14+ D - d = 0.3 mD = d + 0.3∴D² - d² = (D - d) (D + d) = 0.3 × D25.2405 = (π/4) × 14 × 0.3 × D + 0.3 × D= 5.2665 D= 5.2665/0.3= 17.555 mLet us take the thickness of the ring beam as 300 mm (0.3 m).

Then the external diameter of the ring beam is given by;D = d + 0.3 m= 17.555 + 0.3= 17.855 mArea of steel required for the ring beam can be given as follows; A_s = [F/2 - {(π/4) (D² - d²) × f_c}]/[f_y/γ_s]= [294.705 - {(π/4) × 14 × 0.3 × 17.855²}]/[460/1.15]= 1609.7 mm²/m We can provide 4Nos. of T16 bars for effective reinforcement. Hence area provided, A_p = 4 × 201= 804 mm²/m Prestressing force per meter of high tensile wire, f_p= initial prestressing force per unit length of wire × loss ratio= 1000 × 0.75= 750 N/mm²A_p/f_p = length of high tensile wire required= 804/750= 1.072 m/mLet us take the vertical spacing of wire as 200 mm and the initial sag of the wire as 20 mm. The length of the wire required along the curve of the ring beam can be given as follows;L_c = 2πR/cos a = 2 × 3.14 × 15/0.8823= 106.78 m The length of the wire required can be given as follows;L = √((L_c/2)² + (H + S)²)= √((106.78/2)² + (3.75 + 0.2)²)= 53.4 m The number of wires required can be given as follows; N = (L × 1000)/S= (53.4 × 1000)/200= 267Nos.As per the design procedure, the design of reinforced concrete dome and the prestressed concrete ring beam is completed.

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

= 15/16

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Answer:

a,55

b,118

c,122

d,50

Step-by-step explanation:

sum of exterior angles of a polygon ends up to 360°. add the numbers given in each case and subtract from 360° to get the missing angle.

Answer:

its a personality test im not alowwed to help

Step-by-step explanation:

Answer:

Two triangles are similar if they have: all their angles equal; corresponding sides are in the same ratio; But we don't need to know all three sides and all three angles ...two or three out of the six is usually enough. There are three ways to find if two triangles are similar: AA, SAS and SSS: AA

Step-by-step explanation:

Answer:

No, they aren't similar.

Step-by-step explanation:

From the information given, none of the sides are the same therefore they aren't similar.  If any part of them were similar then that part would be similar but none of the parts are similar.  Hope this helps sombody.

The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.

The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.

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SOLUTION

Write out the equation

The first step in solving this equation is to multiply both sides by 2 this is called

MULTIPLICATION PROPERTY OF EQUALITY

Step1; MUltiply both sides by 2

The next step in solving this equation is to add 7 to both sides of

the equation this is called ADDITION PROPERTY OF EQUALITY

step2: Add 7 to both sides of the equation

Hence the solution to the equation is y=-15

The steps are

Step1; MULTIPLICATION PROPERTY OF EQUALITY

Step2: SIMPLIFYING

Step3: ADDITION PROPERTY OF EQUALITY

Step4: SIMPLIFYING

Answer:

\(\frac{5x-3}{4}\)

Step-by-step explanation:

\(x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y\)

If a new information database generates $57,000 in yearly income for your organization over the following seven years. The funds are worth $298,795.93 in current value.

A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100. The term "percent" comes from the Latin per centum, which means "hundred" or "by the hundred". The symbol for "percent" came from the Italian expression per cento, which means "for a hundred".

Here,

PVA= Present value = ?

r = Interest rate = 7.8%

t = Time = 7 years

Let plug in the formula

PVA = $57,000{[1 − (1/(1+.078)^7)]/.078}

PVA = $57,000{[1 − (1/1.078^7)]/.078}

PVA = $57,000{[1 − (1/1.6917)]/.078}

PVA = $298,795.93

If your organization will make $57,000 in annum income from a new information database over the next seven years. The current value of the savings is $298,795.93.

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The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

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Using a linear equation, the formula for the sum registered is:

\(C(n) = 5n + 175\)

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

A linear equation has the following format:

\(y = mx + b\)

In which:

In this problem:

\(m = \frac{975 - 775}{160 - 120} = \frac{200}{40} = 5\)

Then

\(C(n) = 5n + b\)

(120,775) means that when \(n = 120, C(n) = 775\). We use this to find b.

\(C(n) = 5n + b\)

\(775 = 5(120) + b\)

\(b = 775 - 600\)

\(b = 175\)

Thus

\(C(n) = 5n + 175\)

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Answer:

4

Step-by-step explanation:

Let x be the unknown number.

\(\begin{aligned}&\textsf{A number is raised to the third power}: & x^3&\\&\textsf{Subtracted from 15}: & 15-x^3&\\&\textsf{To get 7}: & 15-x^3&=7\end{aligned}\)

Solve the found equation for x:

\(\begin{aligned}&\textsf{Given}: & 15-x^3&=7\\&\textsf{Subtract $15$ from both sides}: & -x^3&=-8\\&\textsf{Divide both sides by $-1$}: & x^3&=8\\&\textsf{Rewrite $8$ as $2^3$}: &x^3&=2^3\\&\textsf{Cube root both sides}: & x&=2\end{aligned}\)

Therefore, the number squared is:

\(\implies x^2=2^2=4\)