If the length of the above rectangle is 15 "wooches", determine the width of the rectangle in "wooches

Answer:

y ⋅ (−3 − 7.8 ⋅ x)

Step-by-step explanation:

Answer:

i think the answer is 8 for the first and 9 for the second

Answer:

a)

x+y=24---1

y= 2x ---2

subs 2 in 1

x+2x=24

3x=24

x=8

when x=8 subs in 2

y=2(8)

y=16

b)

2x+y=100---1

y=2(x-10)---2

subs 2 in 1

2x+2(x-10)=100

2x+2x-20=100

2x+2x=100+20

4x=120

x=30

when x=30 subs in 2

y=2(30-10)

y=2(20)

y=40

c)

x+y=26---1

3x+y=56---2

from 1

x+y=26

y=26-x---3

subs 3 in 2

3x+26-x=56

3x-x=56-26

2x=30

x=15

when x=15 subs in 3

y=26-15

y=11

If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

Annual premium can be defined as the premium amount a person pay per year, yearly or annually.

Based on the scenario the whole life is an example of long term insurance.

Reason been that  annual  premium are often used  for long term insurance in which the policy holder is expected to stop paying the premium when he/she reach a certain age that is stated on the policy terms and condition.

Therefore If Richard Henry takes out $25,000 of ordinary whole life when he is forty-three years old is: A. Annual premium.

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Answer:

618.25-annual     309.13-semiannual

Step-by-step explanation:

oddesy

Answer:

x=35; y=55; z=55

Step-by-step explanation:

x+y=90; z+x=90

z+35=90

z=90-35= 55

x=90-55= 35

y= 90-35 =55

The probabilities are given as follows:

a) Both: 0.24.

b) Neither: 0.24.

c) Only Mary: 0.36.

d) Mary or Burt: 0.76.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

For both people, we multiply the probabilities, hence:

0.6 x 0.4 = 0.24.

For neither people, we multiply the complement of the probabilities,  hence:

(1 - 0.6) x (1 - 0.4) = 0.24.

For only Mary, we have that:

(1 - 0.4) x 0.6 = 0.36.

For at least one, we subtract the total of 1 from neither, hence:

1 - 0.24 = 0.76.

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Answer:

(2*100,000)+(7*10,000)+(9*100)+(5*10)

Answer:

x=5

Step-by-step explanation:

5x-2=23

add 2 to both sides

5x=25

divide by 5 on both sides

x=5

Answer:A

Step-by-step explanation:

I just did it in my head

Answer:

B

Step-by-step explanation:

Answer: 7.3924E14

Step-by-step explanation:

Answer:

\(\frac{\sqrt{3} }{6}\)

Step-by-step explanation:

using the 30- 60- 90 triangle for exact values , then

tan60° = \(\sqrt{3}\) , and

cot60° = \(\frac{1}{tan60}\) = \(\frac{1}{\sqrt{3} }\)

cos60° = \(\frac{1}{2}\)

cot60° cos60°

= \(\frac{1}{\sqrt{3} }\) × \(\frac{1}{2}\)

= \(\frac{1}{2\sqrt{3} }\) ← rationalise the denominator by multiplying by \(\frac{\sqrt{3} }{\sqrt{3} }\)

= \(\frac{1}{2\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\)

= \(\frac{\sqrt{3} }{6}\)

The answer is \(\boxed {\frac{1}{2\sqrt{3}}}\)

The needed trigonometric values :

Hence, the value of the expression is :

Answer: 6 - 1/4 z or 6 - z/4

Step-by-step explanation: One fourth of z can be represented as 1/4 z

(or z/4).  When something is subtracted from something else, it can be represented as the second value given minus the first value given.

6 - 1/4 z or 6 - z/4

Algebraic means of and relating to the algebra. The words “algebraic” or “algebra” have so much different meanings in mathematics, still their meanings aren't as variable like the meanings of the words such as “go” have in the English. Algebra has to do with operations, especially addition or multiplication and summerizing.

One fourth of z can be represented as 1/4 of z (or z/4)

When something is subtracted from something else, this can be represented as the 2nd value given minus the 1st value given

so One fourth of z is 1/4 of z (or z/4)

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Answer:

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

We have:

The numbers are:

Answer:

The price of the advance ticket is $40 and the price for the same-day ticket is $35.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=75 (1)

15x+35y=1825 (2), where:

x is the price for advance tickets

y is the price for same-day tickets

First, you can isolate y in (1)

y=75-x (3)

Then, you have to replace (3) in (2):

15x+35(75-x)=1825

15x+2625-35x=1825

2625-1825=35x-15x

800=20x

x=800/20

x=40

Finally, you can replace the value of x in (3) to find y:

y=75-40

y=35

According to this, the answer is that the price of the advance ticket is $40 and the price for the same-day ticket is $35.

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

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Answer: The answer is C

Answer:

the anwer is c ig

Step-by-step explanation:

1.) For the triangle with sides 9 and 5, the third side must satisfy the inequality:

9 - 5 < x < 9 + 5

which simplifies to:

4 < x < 14

So the range of possible measures for the third side is 4 < x < 14.

2.) For the triangle with sides 5 and 8, the third side must satisfy the inequality:

8 - 5 < x < 8 + 5

which simplifies to:

3 < x < 13

So the range of possible measures for the third side is 3 < x < 13.

3.) For the triangle with sides 6 and 10, the third side must satisfy the inequality:

10 - 6 < x < 10 + 6

which simplifies to:

4 < x < 16

So the range of possible measures for the third side is 4 < x < 16.

4.) For the triangle with sides 6 and 9, the third side must satisfy the inequality:

9 - 6 < x < 9 + 6

which simplifies to:

3 < x < 15

So the range of possible measures for the third side is 3 < x < 15.

5.) For the triangle with sides 11 and 8, the third side must satisfy the inequality:

11 - 8 < x < 11 + 8

which simplifies to:

3 < x < 19

So the range of possible measures for the third side is 3 < x < 19.

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The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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A factorial design with 2^4 levels and 7 replicates was used to study the effects of factors on putting accuracy. ANOVA revealed a significant model. The factors that significantly affect putting performance were determined, and recommendations were made to the golfer to improve their putting.

To determine if this is a valid model, we need to perform an analysis of variance (ANOVA) on the data. This will allow us to determine if the means of the groups are significantly different from each other, and if the factors have a significant effect on the dependent variable.

Before performing the ANOVA, we can check for normality of the data using a normal probability plot or a histogram. If the data is not normally distributed, we can consider a transformation, such as a logarithmic or square root transformation, to improve the model.

Assuming that the data is normally distributed, we can perform an ANOVA to determine if the model is valid.

To determine which factors significantly affect putting performance, we need to look at the main effects and interaction effects of the factors. The main effects are the effects of each factor on the dependent variable, while the interaction effects are the effects of combinations of factors on the dependent variable.

We can use a statistical software package, such as SPSS or R, to perform the ANOVA and calculate the main effects and interaction effects.

Based on the results of the ANOVA, we can make recommendations to the golfer to improve their putting. For example, if we find that the length of putt significantly affects putting performance, we can recommend that the golfer focus on practicing putts of a certain length.

Similarly, if we find that the type of putter significantly affects putting performance, we can recommend that the golfer try different putters to find one that works best for them.

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Answer:

a.) 98°

Step-by-step explanation:

Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:

\(82+x=180\)

Solve for x, the value of angle 5:

\(x=180-82\\\\x=98\)

Angle 5 has a  measure of 98°.

Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.

:Done

Answer:

12

Step-by-step explanation:

If you solve the second equation and substiture to the first, you get y = 5, and x = -7.

5-(-7) = 5+7=12

Answer:214.29

Step-by-step explanation:600 divided by 2.8

possibly the answer

Answer:

The correct  substitution of a, b, and c in the quadratic formula is given by

\($ x=\frac{-12\pm\sqrt{(12)^2-4(4)(9)}}{2(4)} $\)

\(x = - \frac{ 3}{2} \: and \: x = -\frac{ 3}{2} \\\\\)

The solutions of the given quadratic equation are real and equal.

Step-by-step explanation:

The given quadratic equation is

\(4x^2+12x+9 = 0\)

The coefficients a, b and c are as follow:

\(a = 4 \\\\b = 12\\\\c = 9\)

The quadratic formula is given by

\($x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\)

The correct  substitution of a, b, and c in the quadratic formula is given by

\($ x=\frac{-12\pm\sqrt{(12)^2-4(4)(9)}}{2(4)} $\)

Bonus:

The solution of this quadratic equation is given by

\(x=\frac{-12\pm\sqrt{(144 - 144)}}{8} \\\\x=\frac{-12\pm\sqrt{0}}{8} \\\\x=\frac{-12\pm 0}{8} \\\\x=\frac{-12 + 0}{8} \: and \: x=\frac{-12 - 0}{8}\\\\x= -\frac{ 3}{2} \: and \: x = -\frac{ 3}{2} \\\\\)

Therefore, the solutions of the given quadratic equation are real and equal.

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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The probability of B is 0.655.This is obtained by evaluating the total probability of the spinner, where the sum of the probabilities of A, B, and C must equal 1. By solving the equation and substituting the value of k, it is determined that k = 0.115.

Given: A biased spinner can land on A, B, or C.

The table shows the probabilities, in terms of k, of A, B, and C.

Calculation: Total probability of the spinner = Probability of A + Probability of B + Probability of C. It means P(A) + P(B) + P(C) = 1 [By the sum of all probabilities is 1].

Put the values in the above equation:

\(0.5k + (7k - 0.15) + 2.5k = 1.\)

Solve this equation: 10k - 0.15 = 1 [Taking LCM, k].

\(10k = 1 + 0.15. 10k = 1.15. k = 1.15 / 10. k = 0.115.\)

Put the value of k in Probability of B, we get:

\(Probability of B = 7k - 0.15 = 7(0.115) - 0.15 = 0.805 - 0.15 = 0.655.\)

Conclusion: In summary, using the given probabilities in terms of k, the probability of B is calculated to be 0.655. This is obtained by evaluating the total probability of the spinner, where the sum of the probabilities of A, B, and C must equal 1. By solving the equation and substituting the value of k, it is determined that k = 0.115. Substituting this value in the probability of B formula yields a probability of B equal to 0.655.

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