The diameter of a circle is 6 millimeters. What is the circle's area?
d=6 mm
Use 3.14 pi

Answer:

Test statistic Z= 1.713

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population  μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

H₀:  x⁻ =  μ

Alternative Hypothesis :  x⁻ ≠  μ

Step(ii):-

Test statistic

                 [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

                 [tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]

                Z =  1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Answer:

C

Step-by-step explanation:

I just took the USATP.

Answer:

D) 34.375

Step-by-step explanation:

I literally just took usatestprep yall need to stop putting wrong answers pls

Answer:

1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342

2) using the compound interest formula:

future value = $225 x (1 + 4.1%)¹°⁵ = $238.98

Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.

3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21

since the interest is annual, we must convert 48 months to 4 years

Answer:

y = [tex]-\frac{6}{7}[/tex] x - 9  

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

m = [tex]-\frac{6}{7}[/tex]

y - (- 3) = [tex]-\frac{6}{7}[/tex] [x - (- 7)]

y + 3 = [tex]-\frac{6}{7}[/tex] (x + 7)

y + 3 = [tex]-\frac{6}{7}[/tex] x - 6

y = [tex]-\frac{6}{7}[/tex] x - 9

Step-by-step explanation:

3/1 x 5/6 = 15/6 = 2 3/6 = 2 1/2

answer is C

Answer:

s>22

Step-by-step explanation:

2s>49−5

2s>44

s>44/2

s>22

Answer:

a

The 95% confidence interval is   [tex]0.5753<  p <0.62474[/tex]  

b

 This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

c

 The margin of error is   [tex]E =    0.02474 [/tex]  

d

 The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1506

    The sample proportion is  [tex]\^ p = 0.60[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E =    1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } [/tex]    

=>   [tex]E =    0.02474 [/tex]  

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>   [tex]0.60 - 0.02474 <  p <0.60 + 0.02474[/tex]  

=>   [tex]0.5753<  p <0.62474[/tex]  

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

Generally the level of confidence varies directly with the critical value of [tex]\frac{\alpha }{2}[/tex] and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider  

Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Answer:

Step-by-step explanation:

Step one:

given data

we are told that Terry's base salary is $2100  per month.

in addition 5% on sales greater than $40000.

let the monthly salary be M(s)

and let "s" be the amount of sales made

his monthly commission =0.05s

Step two:

The expression for his monthly earning is given as

M(s)=0.05s+2100   where s>40000

 hence for a month when s=42000

M(s)=0.05(42000)+2100

M(s)=2100+2100

M(s)=4200

Therefore for an instance when s=42000 his earnings  for the month will be $4200

Given:

10 workers produce 30 complex elements in 10 days.

To find:

The number of days, in which 5  workers produce 24 elements.

Solution:

According to the question, let as assume

[tex]n_1=10[/tex]

[tex]w_1=30[/tex]

[tex]d_1=10[/tex]

[tex]n_2=x[/tex]

[tex]w_2=24[/tex]

[tex]d_2=5[/tex]

where, n is number of workers, w is work done, and d is number of days.

We have, a formula,

[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]

Substituting the values in the above formula, we get

[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]

[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]

Isolate variable x.

[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]

[tex]\dfrac{240}{15}=x[/tex]

[tex]16=x[/tex]

Therefore, the required number of days is 16.

Answer: the answer is a

Step-by-step explanation: learned about it in 9th grade

Answer:

it's a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

I believe its a reflection

Sorry if im wrong

Answer:

10

Step-by-step explanation:

go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.

Answer:

15/100

Step-by-step explanation:

6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100

Answer: 17/20

Step-by-step explanation:

There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20

Answer:

Step-by-step explanation:

7.5

Answer:

if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you

Answer: n = 13

Step-by-step explanation:

24=3(n-5) - First  distribute the 3 to the n and the 5. Which you would than get 3n and -15

24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.

39=3n - Now divide the 3 from 3n on both sides of the equal side.

n=13 - Once you do that you will get n = 13. That is your answer!

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

Answer:

140

Explanation:

an=-12+4(n-2)

an=-12+4([40]-2)

an=-12+4(38)

an=-152-12

an=140

The 40th term in the sequence defined by aₙ= -12+4(n-2) is 140

using AP formula,

aₙ = a + (n - 1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

aₙ = -12 + 4(n-2)

n = 40

a₄₀ = -12 + 4(40 - 2)

a₄₀ = -12 + 4(38)

a₄₀ = -12 + 152

a₄₀ = 140

The 40th term of the sequence is 140.

learn more about arithmetic progression here: https://brainly.com/question/22069667?referrer=searchResults

Answer:

The purpose of advertising is to inform the consumers about their product and convince customers that a company's services or products are the best, enhance the image of the company, point out and create a need for products or services, demonstrate new uses for established products, announce new products and programs.

Answer:

13

Step-by-step explanation:

x = 3 & y = 5

2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²

                          = 2*5 + 3*(-2) + 3²

                         = 10 - 6 + 9

                        = 4 + 9

                        = 13

Answer:

x=6

Step-by-step explanation:

Let X = Rob's weekly allowance

If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X

After he earned $6 for cleaning the oven, he had $9.

So,

(1/2)X + 6 = 9

(1/2)X = 3

X = 6

Answer:

18 would be the number

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

I think the answer is 18

Step-by-step explanation:

20-10%=18

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: [tex]a_1=First \ term ; \ a_n=a_{n-1}+d[/tex]

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]

A

John will see a wild turkey in his yard next year

John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.

and

Mrs. Smith notices that the first 10 students who enter her cla$s are female. Therefore, she expects that all the students in her cla$s will be female.

Step-by-step explanation:

Hello!

First off, what is inductive and deductive reasoning?

Inductive is when you infer off of your observations. For example, "the last three cars I passed by were white, therefore the next car will also be white". The inductive reasoning is usually a broad guess. This could be right, but it isn't factual.

Deductive is when you infer based off of facts, or confirmed information. For example, "If you get 60% on a quiz, you pa$s the quiz. John got 80% percent on his quiz, therefore he passed." It is a confirmed fact that 60% is the pas$ing grade so if John got a 80%, that is more than 60% and he passes.

I hope the examples made sense!

I wrote about explaining the options but brainly is being sensitive

Answer: 70 degrees (i had that question got it right)

Step-by-step explanation:

Answer:

[tex]m=\frac{11}{6}[/tex]

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-2, 7)

Point (4, 18)

Step 2: Solve for slope m

Answer:

dkdkfdodffffdsddddddddd

Answer:

y-mx+b

Step-by-step explanation: