Solve the given simultaneous equations : 2x + 3y = 17 ; 3x - 2y = 6

Answer: A) At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) YES

Step-by-step explanation:

Given that,

Point estimate = sample mean  Ж = 25.5

Population standard deviation α  = 5.3

Sample size = n =360

At 90% confidence level the z is ,

∝ = 1 - 90% = 1 - 0.90 = 0.1

∝ / 2 = 0.1 / 2 = 0.05  

Z∝/2 = Z0.05 = 1.645 ( WHEN WE USE THE Z TABLE )

Margin of error E = Z∝/2 * ( α/√n)

E = 1.645 * (5.3 / √360 )  = 0.4595

At 90% confidence interval estimate of the population mean

is

Ж - E < ц < Ж + E  

25.5 - 0.4595 <  ц < 25.5 + 0.4595  

25.0405 <  ц < 25.9595  

( 25.0405 , 25.9595 )

At 90% confidence interval estimate of the population mean

is,( 25.0405 , 25.9595 )

B) This confidence interval can be used to estimate the mean weight of all one - year old babies in the US since the mean value of 25.5 falls within the confidence values, we have sufficient evidence to

conclude that the mean weight of all one-year-old boys is 25.5

Answer:

120 + 4w

Step-by-step explanation:

I am indeed doing it aswell

Answer: x(x-4) = 140 This equation can be solve to find the length.

Step-by-step explanation:

If the width of the rectangle will be 4 less than the length and the length is represented by x then we could have the equation   w=x - 4 for the width and the length is just x. And to find the area of a rectangle we multiply the length by the with so multiply x-4 by x  for it to equal 140 because 140 is the area.

x(x-4) = 140   solve for x

[tex]x^{2}[/tex] - 4x = 140   subtract 140 from both sides  

x^2 - 4x - 140 = 0  find a number that the product is 140 and the sum is -4

                                  -14 and 10 works out.

[tex]x^{2}[/tex] - 14x + 10x - 140 = 0  factor by grouping

x(x -14)  10(x-14) = 0     factor out x-14

(x-14) ( x+10) = 0         set them both equal zero.

x-14= 0      or   x+10 = 0

x = 14      or x= -10  

Since -10 can't represent a distance, the answer is 14.

Check.  

In this case the length is 14  and if the width is 4 less than the length then we will subtract 4 from 14.

14- 4 = 10  so the width is 10.

14 * 10 = 140

Answer:

I think it is [tex]\frac{6x-18}{x^{4} }[/tex]

Step-by-step explanation:

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

Answer:

1/2

Step-by-step explanation:

There are eight equal pieces. Oliver used four pieces to make toast. Since the total is eight pieces, the fraction he used to make toast is 4/8, which simplifies to 1/2

Answer:

4/8

Step-by-step explanation:

He cut the bread into 8 equal pieces, so the denominator is 8.

He used 4 pieces for making toast.

He saved 4 pieces for later.

Hope this helps ;) ❤❤❤

Answer:

x = 10

Step-by-step explanation:

We know x = 6

asked: x + 4

Plus it in =>

6 + 4

=> 10

Answer:

5a

Step-by-step explanation:

Answer:

5a.

Step-by-step explanation:

2a + 3a

= (2 + 3)a

= 5a.

Hope this helps!

Answer:

It means direct sum.

Step-by-step explanation:

Answer:

1

 Option B  is the correct answer

2

   [tex]n = 9418[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  [tex]n = 2348[/tex]

    The  sample proportion is  [tex]\r p = 0.54[/tex]

Given that the confidence level is  99%  then the level of significance is evaluated as

      [tex]\alpha = 100 - 99[/tex]

      [tex]\alpha = 1[/tex]%

      [tex]\alpha = 0.01[/tex]

Next we obtain the critical values of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table. The values obtained is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The reason we are obtaining values for  is because  is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while   is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval .

Next is to calculate the margin of error which is mathematically evaluated as  

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

substituting values

        [tex]MOE = 2.58 * \sqrt{ \frac{0 .54( 1 - 0.54 )}{2348 } }[/tex]

        [tex]MOE = 0.0265[/tex]

Now the interval for the 99% confidence level is evaluated as  

     [tex]\r p - MOE < \r p < \r p + MOE[/tex]

substituting values  

    [tex]0.514 < \r p <0.567[/tex]

Looking at the Confidence interval we see that the proportion of  Americans that watched streamed program up to that point in time is between

     51.4%  and 56.7%

Hence we are 99% confident that this interval contains the true population proportion.

The  sample  size that will be required for the width o 99%  Cl  is mathematically  evaluated as

            [tex]n = \frac{4 *[Z_{\frac{\alpha }{2} }]^2 * \r p (1- \r p )}{MOE^2}[/tex]

substituting values

           [tex]n = \frac{4 *2.58^2 * 0.54 (1- 0.54 )}{0.0265^2}[/tex]

          [tex]n = 9418[/tex]

Answer:

[tex]AG=22[/tex]

Step-by-step explanation:

Follow the next steps:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F} =\frac{C-D}{F-G} =\frac{A-C}{A-F} =\frac{B-D}{E-G} =\frac{A-D}{A-G}[/tex]

Let:

[tex]\frac{A-B}{A-E} =\frac{B-C}{E-F}\\ \\\frac{4}{A-E} =\frac{5}{10x}\\ \\Solving\hspace{3}for\hspace{3}A-E\\\\A-E=8x[/tex]

Now:

[tex]\frac{C-D}{F-G} =\frac{A-C}{A-F} \\\\\frac{2}{F-G} =\frac{9}{18x} \\\\Solving\hspace{3}for\hspace{3}F-G\\\\F-G=4x[/tex]

Hence:

[tex]A-G=(A-E)+(E-F)+(F-G)=22x[/tex]

Finally:

[tex]\frac{B-D}{E-G} =\frac{A-D}{A-G}\\\\\frac{A-D}{B-D} =\frac{A-G}{E-G}\\[/tex]

[tex]\frac{11}{7} =\frac{22x}{14x} \\\\\frac{11x^{2} }{7} -\frac{11}{7} =0\\\\[/tex]

Hence:

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

Since it would be absurd for [tex]x=-1[/tex], the real solution is [tex]x=1[/tex]

Therefore:

[tex]AG=22[/tex]

Answer:

work is shown and pictured

Answer:

When the price of DVD player increases, the demand will decrease.

Step-by-step explanation:

The price and demand function have an inverse relationship. When the price of good increases its demand will decrease. This is law of demand. If the price of goods increase to a certain level its demand will start decreasing. The people will start buying lesser good and will consume less. The propensity to consume will decline and less economic goods will be consumed. When the price of DVD player is increased then the demand will decline for DVD players and people will drop the decision to buy the DVD player.

Answer:

  400 g

Step-by-step explanation:

Let p represent the mass of the peas & carrots. The scale is balanced when the mass on one side is equal to the mass on the other side.

  p + 2(300 g) = 4(250 g)

  p = 1000 g -600 g . . . . . subtract 600 g

  p = 400 g

The mass of the peas & carrots is 400 grams.

Answer:

The number of innings Brantley pitched is 7.

Step-by-step explanation:

We are given that the table shows the number of innings pitched by each of the Greenbury Goblins' starting pitchers during the Rockbottom Tournament below;

         Pitcher                           Number of innings pitched

          Calvin                                            11

          Thom                                             12

          Shawn                                            7

            Kris                                               3

         Brantley                                           x

Let the number of innings Brantley pitched be 'x'.

The mean of the following data set is given by the following formula;

          Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of observations}}[/tex]

                  [tex]8 = \frac{11+12+7+3+x}{5}[/tex]

                 [tex]8\times 5 =33+x[/tex]

                 [tex]40 = 33+x[/tex]

                  x = 40 - 33 = 7

Hence, the number of innings Brantley pitched is 7.

Answer:

7

Step-by-step explanation:

Khan Academy

Answer:

(a) P(0,9) = 0.0207

(b) P(2-9,9) = 0.1004

(c) P(0-1,9) = 0.1211

(d) "at least 1" and "at most 1" are not complements of each other because there is an overlap of "1" in both cases.

Step-by-step explanation:

With appropriate assumptions, this can be solved using the binomial distribution.

Probability of success for each trial, p = 35%

Number of trials, n = 9

using formula for x successes out of n trials, each with probability p

P(x,n) = C(n,x) p^x (1-p)^(n-x)

where C(n,x) = n!/(x!(n-x)!)

(a) zero success

n=9

p=0.35

x = 0

P(0,9) = 9!/(0!9!) 0.35^0 * 0.65^9

= 1*1* 0.0207

= 0.0207

(b) 2 or more successes

We need the sum of probabilities of 2,3,4,5,6,7,8,9 successes, which is easier calculated by (1-P(0,9)-P(1,9))

P(1,9) = C(9,1) * p^1 * p^8

= 9 * 0.35 * 0.65^8

= 9 * 0.35 * 0.3186

= 0.1004

Therefore

P(2 to 8, 9)

= 1 - P(0,9) - P(1,9)

= 1 - 0.0207 - 0.1004

= 0.8789

(c) at most 1 success

P(0,9) + P(1,9)

= 0.0207 + 0.1004

= 0.1211

Answer:

Total cream = 34g

One application = 1 8/9 =(9+8)/9 = 17/9

Total applications = total cream/one application = 34/(17/9) = 34*9/17 = 18 applications

Step-by-step explanation:

Answer:

[tex]\r p = 0.11[/tex]

[tex]\r q = 0.89[/tex]

n = 2000

[tex]E = \pm 5[/tex]

p - population proportion

[tex]\alpha = 5[/tex]%

Step-by-step explanation:

From the question we are told that  

   The  sample size is  [tex]n = 2000[/tex]

   The  proportion of the population for chocolate pie is  [tex]p_c = 0.11[/tex]

   The  margin of error is  [tex]E = \pm 5[/tex]%  

Now in the question we are asked to provide the meaning of  

       [tex]\r p , \r q , n , E , and\ p[/tex]

Now  [tex]\r p[/tex] is the sample proportion of the population that those  chocolate​ pie as  favorite pie of   which is given from the question as 0.11

Now

         [tex]\r q[/tex] is the sample  proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as

      [tex]\r q = 1 - \r p[/tex]

      [tex]\r q = 1 - 0.11[/tex]

       [tex]\r q = 0.89[/tex]

       n is the sample size which is given as  n =  2000

       E is the margin of  error which given as  [tex]E = \pm 5[/tex]%

       p is the population proportion

Given that the confidence level is  95 %  then the level of significance is  mathematically evaluated as

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

        [tex]\alpha =[/tex]5%

Answer:

1312 feet

Step-by-step explanation:

41 ft=1 sec

how about 32 sec

41 x 32=1312/1=1312

Answer:

[tex]\huge\boxed{a_3=9,216}[/tex]

Step-by-step explanation:

[tex]a_n=64(12)^{n-1}\\\\\text{substitute}\ n=3:\\\\a_3=64(12)^{3-1}=64(12)^2=64(144)=9,216[/tex]

Answer:

A

Step-by-step explanation:

The syntax is binomcdf(trials, probability, value). There are 100 trials, and the probability is 0.5. binomcdf will return the probability that there is at most n successes. So, in this case we want 45 or less successes, so n is 45. So, the answer is binomcdf(100, 0.5, 45).

Hope this makes sense! Please give brainliest!

Answer:

18. b. 4/14

19. b. 30/40

20. c. 21/48

21. a. 9/20

22. a. 6/24

Step-by-step explanation:

So in these questions all we do is multiply the fractions.

18)

[tex]\frac{4}{7} * \frac{1}{2}[/tex]

4*1 = 4

7*2 = 14

b. 4/14

19)

[tex]\frac{15}{2}*\frac{2}{20}[/tex]

15*2 = 30

2*20 = 40

b. 30/40

20)

[tex]\frac{3}{6}*\frac{7}{8}[/tex]

3*7 = 21

6*8 = 48

c. 21/48

21)

[tex]\frac{9}{10}*\frac{1}{2}[/tex]

9*1 = 9

10*2 = 20

a. 9/20

22)

[tex]\frac{3}{6}*\frac{2}{4}[/tex]

3*2 = 6

6*4=24

a. 6/24

Hope this helps :)

Answer: Parents and children ( till the age of 5) of Norway

Step-by-step explanation:

Here, A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five.

Since the study involved a large random sample of mothers and children and was conducted over several years.

So, the population of interest in this survey is "Parents and children ( till the age of 5) of Norway".

Answer:

Change in the cost of each book printed = $25

Cost to get started = $1150

Step-by-step explanation:

Equation representing the relation between number of copies of the books (x)  and total cost of publishing a book (y) is,

y = 1150 + 25x

This equation is in the form of a linear equation,

y = mx + b

Where m represents the change in cost of printing each book and y-intercept of the line 'b' represents the cost before any book is printed.

By comparing these equations,

m = 25

Therefore, change in the cost of each book printed = $25

b = 1150

Which represents the cost to get started = $1150

Answer:

[tex]\huge\boxed{x-intercept=-\dfrac{14}{3}=-4\dfrac{2}{3}}\\\boxed{y-intercept=\dfrac{14}{9}=1\dfrac{5}{9}}[/tex]

Step-by-step explanation:

[tex]-3x+9y=14\\\\x-intercept\ \text{for}\ y=0:\\\\-3x+9(0)=14\\-3x+0=14\\-3x=14\qquad\text{divide both sides by (-3)}\\\boxed{x=-\dfrac{14}{3}=-4\dfrac{2}{3}}}[/tex]

[tex]y-intercept\ \text{for}\ x=0:\\\\-3(0)+9y=14\\0+9y=14\\9y=14\qquad\text{divide both sides by 9}\\\boxed{y=\dfrac{14}{9}=1\dfrac{5}{9}}[/tex]

Answer:

7 and 14

Step-by-step explanation:

let one integer = x

other integer = 2x

sum of reciprocal = 1/x + 1/2x

= 3/2x = 3/14

= x = 7

one no. = 7

other no. = 14

Answer:

The sales account for year 3 is [tex][\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%][/tex].

Step-by-step explanation:

As the sales for year 2 is not provided, assume it is x million.

The total sales in year 3 is, 32 million.

Compute the sales account for year 3 as follows:

[tex]\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}\times 100\%[/tex]

                                              [tex]=\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}\times 100\%[/tex]

Answer:

40 cm by 44 cm

Step-by-step explanation:

A square sheet of paper has area 1600 cm^2.

area = s^2

1600 cm^2 = s^2

s = sqrt(1600 cm^2)

s = 40 cm

The side of the square was 40 cm, so the square measured 40 cm by 40 cm.

One side of 4 cm short, so the paper should have been 40 cm by 44 cm.

Answer:

60 and 87

Step-by-step explanation:

Question 1: The chance of losing would be 100% - 40% = 60%.

Question 2: Again, we just have to do 100% - 13% = 87%.

Answer:

Below

Step-by-step explanation:

First question:

Jade has a 40% chance of winnig wich could be expressed as 2/5

The chance of losing is the remainning pourcentage from 100%

●100-40 =60%

60% is the chance of losing wich could be expressed as 3/5

The sum of 3/5 and 2/5 is 1 so it's true.

■■■■■■■■■■■■■■■■■■■■■■■■■

Same method for the 2nd question:

The person has a 13 % chance of winning.

The chance of losing is 87%

● 100-13 =87

Answer:

to be honest I'm not sure how to do this question plz answer my question plz

Step-by-step explanation:

to be honest I'm not sure how to do this question plz answer my question plz I'm so much home workout