scale factor of 2 to 3.5 inches

Answer:

[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]

l=28

Answer:

The value of x is 63° ⇒ B

Step-by-step explanation:

The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°

In the given figure

There is a polygon with 5 sides

∵ n = 5

∴ S = (5 - 2) × 180°

∴ S = 3 × 180°

∴ S = 540°

→ We have the measure of 4 angles of them    

∵ The sum of the 4 given angles =  119° + 100° + 88° + 116°

∴ The sum of the 4 given angles = 423°

→ To find the 5th angle subtract 423° from 540°

∵ The measure of the fifth angle = 540° - 423°

∴ The measure of the fifth angle = 117°

→ x and 117° are linear pair angles, then their sum is 180°

∵ x + 117° = 180° ⇒ linear pair angles

→ Subtract 117 from both sides to find x

∴ x + 117 - 117 = 180 - 117

∴ x = 63°

Answer: The answer is B, 23,483

Step-by-step explanation:

If you multiply 23,000 times 1.021 you get 23,483. Your welcome

The Lily's estimate population in 8 years is 187864.

It is required to find the population in 8 years.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The function f(x)= 23,000(1.021) X( power) to model the future annual population growth of the city.

According to given question we have,

To put x= 8 years

Lily's estimate population in 8 years are

f(x)= 23,000*(1.021) *8

f(x)= 187864

Therefore, the Lily's estimate population in 8 years is 187864.

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Answer:

18

Step-by-step explanation:

3x+1=55

(alternate angle theorem)

3x=55-1

3x=54

x=54/3

x=18

Answer:

d

Step-by-step explanation:

3x + 1 and 55 are alternate angles and congruent, thus

3x + 1 = 55 ( subtract 1 from both sides )

3x = 54 ( divide both sides by 3 )

x = 18 → d

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

Answer:

A

The probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is

    [tex]P(\= X > 108) = 0.0084242[/tex]

B

Comparing the p-value obtained with a low level of significance  (say ∝= 0.01 ) we see that the p-value  is  less than ∝ which implies that the null hypothesis is  rejected hence  we can state that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100

Step-by-step explanation:

From the question we are told that

  The standard deviation is  [tex]\sigma = 15[/tex]

  The population mean is  [tex]\mu = 100[/tex]

  The sample size n  =  20

Generally the standard deviation of the sample mean (standard error ) is mathematically represented as

      [tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]\sigma_{\= x} = \frac{15 }{\sqrt{20} }[/tex]

=>   [tex]\sigma_{\= x} = 3.35[/tex]

Generally the probability of obtaining a simple random sample of 20 students whose mean IQ score is greater than 108 is mathematically represented as

      [tex]P(\= X > 108) = P(\frac{\=X - \mu}{\sigma_{\= x} } > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z > \frac{108 - 100}{3.35} )[/tex]

=>   [tex]P(\= X > 108) = P(Z >2.39 )[/tex]

From the z-table  

      [tex]P(z > 2.39) = 0.0084242[/tex]

So

      [tex]P(\= X > 108) = 0.0084242[/tex]

The null hypothesis is  [tex]H_o : \mu = 100[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 100[/tex]

The sample mean is  [tex]\= x = 108[/tex]

Generally the test statistics is  =  2.39

  Generally the p-value is  equal  to 0.0084242

Now comparing the  p-value with a low level of significance  (say ∝= 0.01 ) we see that the p-value  is  less than ∝ which implies that the null hypothesis is  rejected  and we can conclude that there is sufficient evidence to conclude that the mean IQ for all students at the school is greater than 100

Answer:

It has a steady line the entire way

Step-by-step explanation:

Answer: -2/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6-0/-5-5

-6/9

-2/3

Answer:

y=-2/3x+10 1/3

Step-by-step explanation:

y=mx+b (m = slope)

(Equation) y2-y1/x2-x1

= 6-0/-5-4

= -6/9

= -2/3

y-y1 = m(x-x1)

y-6 = -2/3 +5

y-6 = 4 1/3

y = 10 1/3

Answer:

(-2, -3)

Step-by-step explanation:

To solve this problem, we use the midpoint formula.

M = [tex]\frac{x1 + x2}{2} , \frac{y1+ y2}{2}[/tex]

Plug your coordinates in:

M = [tex]\frac{-7 + 3}{2} , \frac{-8 + 2}{2}[/tex]

Simplify:

M = [tex]\frac{-4}{2} , \frac{-6}{2}[/tex]

M = (-2,-3)

Answer:

350

Step-by-step explanation:

pretty easy just dived

You pay $350 to Grandma.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Grandma  pays upfront for you to go on an overnight trip with the school, which costs $340.

And, You make a deal that you’ll give her $25 per month until you pay it all back.

Now,

Let the number of months to pay Granma = x

Then, we can formulate;

$25x = $340

x = 13.6

After rounding,

x = 14

So, We pay 14 months to grandma;

Hence, The cost to pay grandma in 14 months = 14 x $25

                                                                        = $350

Therefore, You pay $350 to Grandma.

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Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

Answer:

so basically you want a drawing identical to that just with different colours?

Answer: true false some true

Step-by-step explanation:

Answer:

Christopher Columbus introduced horses, sugar plants, and disease to the New World, while facilitating the introduction of New World commodities like sugar, tobacco, chocolate, and potatoes to the Old World. The process by which commodities, people, and diseases crossed the Atlantic is known as the Columbian Exchange.

Answer:

7in. in length and 6in. in width.

Step-by-step explanation:

Divide the number of feet by 3.

Answer:

1.1102 * 10^4

Step-by-step explanation:

11102

= 1.1102 * 10^4

Answer:

14

Step-by-step explanation:

The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

To add fractions, they must have common denominators

convert them to common denominators

4/7 × 4/4 = 16/28

now their denominators are the same

16/28 + 5/28

add the numerators

16 + 5 = 21

21/28

Both the numerator and the denominator can be divided by 7

3/4 is the simplest form

Answer:

y=x-10

Step-by-step explanation:

Answer: what answer???

Step-by-step explanation: there's no equation

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2

Answer:

Step-by-step explanation:

Ordered Pair1: (8,2)

2:(8*2,2*2)=(16,4)

3:(8*3,2*3)=(24,6)

4: (8*4,2*4)=(32,8)

5: (8*5,2*5)=(40,10)

Answer:

Figure of the function is included below as attachment.

Step-by-step explanation:

Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:

[tex]\cos x = 0[/tex]

In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Maxima

Maxima are those points of the function such that [tex]y = 1[/tex]. That is:

[tex]\cos x = 1[/tex]

In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Minima

Minima are those points of the function such that [tex]y = -1[/tex]. That is:

[tex]\cos x = -1[/tex]

In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.

Answer:

Little late but its 10

Step-by-step explanation:

Answer:

3 weeks Late my bad, but why let the question go to waste, the answer is 10

Answer:

a

[tex]0.0028  < p_1 - p_2  < 0.0288[/tex]

b

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  ) who suffered from heart attack  lie within the interval

The  use of Vioxx drug should be stopped

Step-by-step explanation:

From the question we are told that

   The sample size for Vioxx users is  [tex]n_1 = 3025[/tex]

   The second sample size for placebo is  [tex]n_2 =  2875[/tex]

   The number of Vioxx users that suffered heart attack is  [tex]k  = 334[/tex]

     The number of non-Vioxx users that suffered heart attack is  [tex]g  = 272[/tex]

    Generally the  sample proportion for Vioxx users is mathematically represented as

      [tex]\r p_1 =  \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 =  \frac{334}{3025}[/tex]

=>   [tex]\r p_1 =  0.11041 [/tex]

    Generally the  sample proportion for placebo users is mathematically represented as

       [tex]\r p_2 =  \frac{g}{n_2}[/tex]

=>   [tex]\r p_2 =  \frac{272}{2875}[/tex]

=>   [tex]\r p_2 =  0.09461 [/tex]  

Generally the confidence level is 90% , then the level of significance is  [tex]\alpha =  (100-90)\%[/tex]

=>   [tex]\alpha =  0.10[/tex]

Generally the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  is  

     [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the standard error is mathematically represented as

      [tex]SE =  \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }[/tex]

=>  [tex]SE =  \sqrt{\frac{0.11041 (1- 0.11041)}{3025} + \frac{0.09461 (1-0.09461)}{2875} }[/tex]

=>  [tex]SE = 0.0079[/tex]

Generally the margin of error is mathematically represented as

    [tex] E=  Z_{\frac{\alpha }{2} } *  SE[/tex]

=>  [tex] E=  1.645  *  0.0079[/tex]  

=>  [tex] E=  0.013[/tex]  

Generally the 90%  confidence interval is mathematically represented as

     [tex]0.11041 - 0.09461- 0.013 < p_1 - p_2  < 0.11041 - 0.09461+ 0.013 [/tex]

=>       [tex]0.0028  < p_1 - p_2  < 0.0288[/tex]

The  interval means that there is 90% confidence that the true difference between the proportion of Vioxx users who suffered from heart attack  and the non-Vioxx users (the placebo group  )  lie within the interval

Looking at the interval we see that proportion of Vioxx users who suffered is  more compared to  non-Vioxx users (the placebo group  )[i.e the both limit of the interval is  positive ] hence the  use of Vioxx drug should be stopped

Answer:

[tex]x\geq-1.\overline{756}[/tex]

Step-by-step explanation:

[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]

Answer:

the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.

Answer:

6p

Step-by-step explanation:

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.