Find the length of AD

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

When forecasting techniques are being considered, an analyst must choose between two techniques for weekly sales of roller blades. The two techniques are linear trend equation and naive approach. The linear trend equation is given as \(F_t\) = 127 + 2.1t.

Linear Trend Equation: Linear trend equation is one of the forecasting techniques used to predict trends and estimate the relationship between variables. It is calculated as\(F_t\) = a + bt, where \(F_t\)represents the forecasting value, b represents the slope and a represents the y-intercept.

The equation is used to forecast values for the dependent variable based on independent variables. The linear trend equation is used to forecast future values and interpret the relationship between variables. The equation can be used to forecast the trend of data that shows a linear trend or a straight line, as well as predict values for future periods in time.

Naive Approach : The Naive approach is one of the simplest forecasting techniques used to make predictions. This method assumes that the best estimate of a future value is the current value. It is based on the belief that the most recent value of a time series provides the best estimate of the future.

In conclusion, the analyst must choose between two forecasting techniques, linear trend equation and naive approach. The linear trend equation is based on estimating the relationship between variables, while the Naive approach assumes that the best estimate of a future value is the current value.

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In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

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At a significance level of 5%, with a sample size of 800 items produced on a new machine and 48 of them being defective, the null hypothesis is that the proportion of defective items is not significantly more than 5%, while the alternative hypothesis is that it is significantly more than 5%. The level of significance is 0.05. Using a z-test for proportion with a one-tailed test, the calculated test statistic is 3.45. Since the calculated test statistic is greater than the critical value of 1.645, we reject the null hypothesis. Therefore, there is enough evidence to get rid of the machine.

Null Hypothesis: p = 0.05

Alternative Hypothesis: p > 0.05

Level of Significance: α = 0.05

Sample Size: n = 800

Number of Defective Items: x = 48

Sample Proportion:P= x/n = 48/800 = 0.06

Since the sample size is large, we can use the normal distribution to approximate the binomial distribution.

Test Statistic: z = (P - p) / sqrt(p * (1 - p) / n)

Under the null hypothesis, the test statistic follows a standard normal distribution.

Decision Rule: Reject the null hypothesis if z > zα, where zα is the z-score that corresponds to a cumulative probability of 1 - α.

From the standard normal distribution table, we have:

zα = 1.645

Computation:

z = (0.06 - 0.05) / sqrt(0.05 * 0.95 / 800) = 1.33

Since z (1.33) is less than zα (1.645), we fail to reject the null hypothesis.

Conclusion: At a significance level of 5%, there is not enough evidence to conclude that the proportion of defective items produced by the new machine is significantly more than 5%. Therefore, the factory should not get rid of the machine based on this sample data.

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Answer:

102.5 m³

Step-by-step explanation:

V = (1/3)Bh

where B = area of the base, and h = height of the pyramid

The base is a square. Its perimeter is 15.2 m.

For a square, the perimeter is 4 times the side.

side = 15.2 m / 4 = 3.8 m

V = (1/3)(3.8 m)²(21.3 m)

V = 102.5 m³

\( \frac{11}{16} = 0.6875\)

\(0.7\)

Answer:

The answer is below

Step-by-step explanation:

a) The patio is in the form of a rectangle. The patio has a width of (x - 10) ft. Therefore given that the area of the patio is x² + 10x - 200, hence:

\(Area=length*breadth\\\\x^2+10x-200=length*(x -10)\\\\x^2+20x-10x-200=length*(x -10)\\\\x(x+20)-10(x+20)=length*(x -10)\\\\(x-10)(x+20)=length*(x -10)\\\\length=x +20\)

b) Area of original house = length of house * breadth of house

The length of house = length of patio = x + 20; breadth of house = x + 10; therefore:

Area of original house = (x + 20)(x + 10) = x² + 10x + 20x + 200

Area of original house = x² + 30x + 200

c) If the width is extended, hence:

\(Area=length*breadth\\\\x^2+12x-160=(x+20)*width\\\\x^2+20x-8x-160=(x+20)*width\\\\x(x+20)-8(x+20)=(x+20)*width\\\\(x-8)(x+20)=(x+20)*width\\\\width=x-8\\\\Extended \ width=(x-8)-(x-10)\\\\Extended \ width=2\ feet\)

Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.

Since, there was a broken bowl nearby the dead bodies,

it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.

Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.

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Answer:

(820 ; 980)

Step-by-step explanation:

Given :

Sample size, n = 80

Number of bilingual from sample = 36

Sample proportion, phat = x / n = 36 / 80 = 0.45

Margin of Error = 4% = 0.04

Interval = sample proportion ± margin of error

0.45 ± 0.04

(0.41 ; 0.49)

(0.41 * 2000 ; 0.49 * 2000)

(820 ; 980)

Answer:

n = 6

Step-by-step explanation:

Given

3n - 4 = 14 ( add 4 to both sides )

3n = 18 ( divide both sides by 3 )

n = 6

Answer:

basically a calculator

Step-by-step explanation:

Answer:

Put a Greater than symbol >

Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.

-5 with absolute value becomes a regular 5

Answer:

its >

Step-by-step explanation:

a. If 4 - 5i and -√3 are roots of the polynomial, the other two roots are

b. If polynomial P(x) is divided by x - a, the remainder is zero, then a.  x - a is a factor of the polynomial P(x)

A polynomial is a mathematical function in which the least power of the variable is 2.

a. Suppose that a polynomial function has four roots and two of its roots are 4 - 5i and -√3. We desire the other two roots. We proceed as follows.

We know that know that complex roots and irrational roots of a polynomial occur in conjugate pairs.

So, since 4 - 5i and -√3 are roots of the polynomial, then their conjugate pairs are also roots.

So, the conjugate pairs are

So, the other two roots are

b. A polynomial P(x) is divided by x - a, the remainder is zero. What can we conclude?

Using the factor theorem, if p(x) is a polynomial and x - a is a linear factor, then if x - a is a factor of p(x), then the remainder when p(x) is divided by x - a is zero.

So, from the above since the remainder when P(x) is divided by x - a is zero, then x - a is a factor of P(x)

So, the answer is a.  x - a is a factor of the polynomial P(x)

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Answer:

x = 5  and  ( 5 , − 9 )

Explanation:

The equation of a parabola in  vertex form  is.

2 2 y = a ( x − h ) 2 + k 2 2

Where  ( h , k )  are the coordinates of the vertex and a  is a multiplier

f ( x ) = ( x − 5 ) 2 − 9  is in this form

with  ( h , k ) = ( 5 , − 9 )

⇒ vertex  = ( 5 , − 9 )

the axis of symmetry passes through the vertex is vertical  with equation

x = 5 ←  axis of symmetry  graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}

Answer:

(0, 1)

Step-by-step explanation:

right 2 units: add 2 to x

up 4 units: add 4 to y

Answer: (0, 1)

You would need to walk approximately 11 miles to burn off all the calories from the "Big Breakfast with Hotcakes

To calculate the number of miles you need to walk to burn off all the calories from breakfast, we can use the following steps:

1. Convert the provided calorie value to kilojoules:

  Calories = 1090

  1 Calorie = 4.184 kJ

  Energy in kilojoules = Calories * 4.184 kJ/Calorie

  Energy in kilojoules = 1090 * 4.184 kJ/Calorie

2. Determine the amount of energy burned per mile:

  Energy burned per mile = 418 kJ/mile

3. Divide the total energy from breakfast by the energy burned per mile to obtain the number of miles needed to be walked:

  Miles = Energy in kilojoules / Energy burned per mile

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

Simplifying the expression:

  Miles = (1090 * 4.184 kJ/Calorie) / 418 kJ/mile

  Miles = 11

Hence, in order to eliminate the calories consumed from the "Big Breakfast with Hotcakes," you would have to walk for about 11 miles.

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Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

Answer:

Option B, \(13.32\ x\)

Step-by-step explanation:

Step 1:  Determine an equation

\(Last\ month\ +\ This\ month\)

\(3.75\ x + (0.85 * 3.75\ x * 3)\)

\(3.75\ x + (3.1875\ x * 3)\)

\(3.75\ x + 9.5625\ x\)

\(13.3125\ x\)

Answer: Option B, \(13.32\ x\)

According to the Centers for Disease Control and Prevention (CDC), about 73.6 percent of adults in the United States are overweight or obese. So, the correct answer is D).

This means that a majority of adults in the U.S. have a body mass index (BMI) above the healthy range, which is defined as a BMI of 18.5-24.9, which puts them at increased risk for a range of health issues, including heart disease, diabetes, and some types of cancer.

The prevalence of overweight and obesity has been increasing in the United States in recent decades, and it is a significant public health concern. Obesity is a complex issue with many causes, including genetics, environment, and lifestyle factors such as diet and physical activity levels. So, the correct answer is D).

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--The given question is incomplete, the complete question is given

"  According to the Centers for Disease Control and Prevention (CDC), approximately what percentage of u.s. adults is overweight? select one: a. 24 percent b. 44 percent c. 64 percent d. 73.6 percent "--

Answer:

13. my answer need to be 20 characters+ soooo

Answer:

Mean - 89

Median - 90.5

Mode - 89 or 92

Q1 - 84.5

Q3 - 96.5

IQR - 12

Step-by-step explanation:

A mean is an average. Just add all numbers then divide by how many numbers there are.

A median is a middle. Just arrange the numbers from smallest to largest and locate the middle value.

A mode is the number that appears most often. Count how many of each number there is.

Q1 is the middle of the lower half of the data.

Q3 is the middle of the upper half of the data.

IQR is the difference between Q3 and Q1. (subtract)

Answer: depends on the task.

Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.

Answers: 36

Step-by-step explanation:

Answer:

a = 2

b = 5

c = -12

The discriminant is sqr root (b^2 - 4*a*c)

= sqr root (25 -4 * 2 * -12)

= sqr root (25 + 96)

= sqr root (121)

Answer is A)

Step-by-step explanation:

Answer:

The parts of the number are 200 and 320

Step-by-step explanation:

System of Equations

Suppose a and b are the two parts. They must meet two conditions:

\(a+b=520\qquad\qquad [1]\)

\(\displaystyle \frac{a}{b}=\frac{5}{8}\qquad\qquad [2]\)

From [1], we have:

\(b=520-a\)

Replacing in [2]:

\(\displaystyle \frac{a}{520-a}=\frac{5}{8}\)

Cross-multiplying:

\(8a=5*(520-a)\)

Operating:

\(8a=2600-5a\)

Joining like terms:

\(13a=2600\)

Solving:

\(a=2600/13=200\)

a=200

Since:

\(b=520-a\Rightarrow b=520-200\)

b=320

The parts of the number are 200 and 320

Answer:

200 and 320

Step-by-step explanation:

The Solution.

For the initial deposit of $3,000 to double it, means the amount will become $6,000.

Semi-annually implies 2 periods in a year.

The given formula is

substituting these values, we get

Therefore, the correct answer is 13 years (4th option)

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 115 grams of a radioactive isotope

If we start with 115g of the isotope, after one half-life the quantity will diminish to \(\frac{115g}{2} = 57.5\) which is half the original quantity.

This can be written mathematically as: \(115g(\frac{1}{2})^{1}\)

After the second half life: \(\frac{57.5g}{2} = 28.75 = \frac{115g}{4} = (115g)\frac{1}{2}^{2}\)

After the third half life: \(\frac{28.75g}{2} = 14.37g = \frac{115g}{8} = (115g)(\frac{1}{2}) ^{3}\)

But now we can see a pattern developing, because for each new half-life we are dividing the quantity by 2 to a power that increases as the number of half-lives.

Then we can take the original quantity and quickly compute for 6 half-lives:

\((115g)(\frac{1}{2})^{6} = (115g)(\frac{1}{64}) = \frac{115g}{64} = 1.79g\)

The time it takes for the isotope to do this will depend on the isotope in question. For some it will be microsecond, and for others it will be years and decades. The isotope will typically decay to become another element or isotope.

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The angle of elevation of the ramp to the nearest degree is 8°

From the information given, we have the following deductions;

The tangent identity is expressed as;

tan θ = opposite/ adjacent

substitute the values

tan θ = 2/ 15

find the ratio

tan θ = 0. 1333

Find the tangent inverse of the value

θ = \(tan^-^1(0. 1333)\)

θ = 7. 79 °

θ = 8° in the nearest degree

Thus, the angle of elevation of the ramp to the nearest degree is 8°

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Answer:

w=31, L=34

Step-by-step explanation:

x+x+(x+3)+(x+3)=130

4x+6=130

4x=124

x= 31

width = 31, length = 34 bc it is 3 cm longer

The length and width of the rectangle are 34 cm and 31 cm.

Given,

A wire 130 cm long is bent into the shape of a rectangle which is 3 cm longer than it is wide.

Find the width and length of the rectangle.

It is given by:

Perimeter = 2 ( length + width )

Area = Length x Width

Find the length of the rectangle.

Length = Width + 3 ______(1)

Since a wire of 130 cm is bent into the shape of a rectangle.

The perimeter of the rectangle = 130 cm

We have,

Perimeter = 2 ( length + width )

130 cm = 2 ( width + 3 + width )

65 = 2width + 3

65 - 3 = 2width

2width = 62

Width = 62 / 2 = 31

Putting Width = 31 in (1)

Length = Width + 3 = 31 + 3 = 34

Thus the length and width of the rectangle are 34 cm and 31 cm.

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Answer:

It is greater

Step-by-step explanation: