please answer asap!!

Answer:

48

Step-by-step explanation:

Step-by-step explanation:

let chairs be C and sofas be S

The objective function is

Maximize

90C+75S=P

The constraints are

carpentry

3C+2S=66------1

finishing

9C+4S=180-----2

upholstery

2C+10S=200-----3

C>0, S>0

The linear programming is

3C+2S=66

9C+4S=180

2C+10S=200

Answer:

2.79 kilometers

Step-by-step explanation:

4.5/1.61

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).

Answer:

336

Step-by-step explanation:

It is given that,

Total number of individuals are 8

They are candidates for positions of president, vice president, and treasurer of an organization.

It is a based on permutations. We need to find P(8,3). It can be calculated as follows :

[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]

So,

[tex]P(8,3)=\dfrac{8!}{(8-3)!}\\\\=\dfrac{8!}{5!}\\\\=\dfrac{8\times 7\times 6\times 5!}{5!}\ [\because n!=n(n-1)!]\\\\=8\times 7\times 6\\\\=336[/tex]

Hence, there are 336 possibilities of selections.

Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part

Step-by-step explanation:

Answer:

Jane is 4years old......

Answer:

2.99

Step-by-step explanation:

1.) 2 goes into 5 2 times. So the 2 goes on top of the division sign

2.) 2x2=4

3.) Move 4 below 5

4.) Subtract 5-4=1

5.) Bring down 9

6.) 2 Goes into 19 9 times

7.) 2x9=18

8.) 19-18=1

9.) Bring down the 7

10.) 2 Goes into 17 8 times

11.) 2x8= 16

12.) 17-16=1

13.) Add a zero onto the end, bring down that zero

14.) 2 goes into 10 5 times.

15.) Round answer to 2.99 because with money you only have two decimals

Answer:

$250

Step-by-step explanation:

Total money he has - $500

He buy a bike for - $200

500 - 200 = 300

Balance - $300

10% tax

10 x 300/100 = 30

300 - 30 = 270

He payed $`20 extra

170 - 20 = 250

Balance = $250

He had $250 balance in his pocket money

Hope you understand

:-)

Answer:

the answer is B

Step-by-step explanation:

i just did this.

Answer:

The data given is  

    235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500

  The sample size is  n =  16

   The population is  [tex]\mu  =  \$201,800[/tex]

  The sample mean is mathematically represented as

             [tex]\= x =\frac{\sum x_i}{n}[/tex]

=>  [tex]\= x  =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}[/tex]

=>    [tex]\= x  = 218653.125[/tex]

Generally the sample standard deviation is mathematically represented as

     [tex]s =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]

=>   [tex]s =  \sqrt{\frac{ (235,000 -  218653.125)^2+ (271,900 -  218653.125)^2 + \cdots +  (245,500 -  218653.125)^2}{16} }[/tex]

=>   [tex]s =  23946.896 [/tex]

The null hypothesis is  [tex]H_o : \mu =  \$201,800[/tex]

The alternatively hypothesis is  [tex]H_o : \mu >  \$201,800 [/tex]

Generally the test statistics is mathematically represented as

     [tex]t =  \frac{\= x  - \mu }{ \frac{s}{\sqrt{n} } }[/tex]

=>  [tex]t =  \frac{218653.125  - 201800 }{ \frac{23946.896 }{\sqrt{16} } }[/tex]

=>  [tex]t =  2.82[/tex]

Generally the degree of freedom is mathematically represented as

     [tex]df =  n - 1[/tex]

=>   [tex]df =  16 - 1[/tex]

=>   [tex]df =  15[/tex]

Generally the probability of  [tex]t =  2.82[/tex] at a degree of freedom of  [tex]df =  15[/tex] from the t - distribution table  is  

     [tex]p-value  = P( t >2.82 ) =0.00646356[/tex]

The

From the values obtained we see that [tex]p-value  < \alpha[/tex]

The decision rule is  

   Reject the null hypothesis

The conclusion is

 There is sufficient evidence to conclude that the real estate company's  projection is true

Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution

Type I  Error

 The type 1 error occur when the null hypothesis is wrongfully rejected

  The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still  $201,800

   Type II  Error

 The  type 11 error occur when the null hypothesis is wrongfully  accepted(i.e wrongfully failed to reject the null hypothesis)

    The consequence in this case is that the company will assume that the average selling price  is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased

   Given that resource is scare the management of the company will want a  smaller  significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources

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

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

Generally the margin of error is mathematically represented as

   [tex]E  =Z_{\frac{\alpha }{2} } *  \frac{s}{\sqrt{n} }[/tex]

=>[tex]E  =1.96*  \frac{23946.896}{\sqrt{16} }[/tex]

=>[tex]E  = 11733.96[/tex]

Generally the 95% confidence interval is  mathematically represented as

     [tex]218653.125 - 11733.96  < \mu  <  218653.125 + 11733.96[/tex]

=>  [tex]206919.165  < \mu  <  230387.085[/tex]  

Generally there is 95% confidence that the actual average selling price is within this interval  

Step-by-step explanation:

Answer:

0.6462

Step-by-step explanation:

Given that

Mean (m) = 9.8

Standard deviation (s) = 1.6

Probability that mean length is greater than 9.2

Z = (x - m) / s

Z = (9.2 - 9.8) / 1.6

Z = - 0.6 / 1.6

Zscore = - 0.375 = - 0.375

P(Z >- 0.375) = 1 - P(Z < - 0.375) ;

P(Z < - 0.375) = 0.3538

1 - P(Z < - 0.38) = 1 - 0.3538 = 0.6462

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

[tex]7 + \dfrac{2}{3x} = - 1 \\ \implies \: \dfrac{2}{3x} = - 1 - 7 \\ \implies \: \dfrac{2}{3x} = - 8 \\ \implies \: 2 = - 24x \\ \implies \: x = - \dfrac{2}{24} \\ \implies \: x = - \dfrac{1}{12} [/tex]

Answer:

x = -12

Step-by-step explanation:

multiply all terms by 3 to get whole numbers

->21+2x=-3

subtract 21 both sides to isolate the variable

->2x=-24

divide by 2 both sides to simplify

->x=-12

Answer:

There are a variety of possible answers, including the following:

4 and 4     (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)

6 and 2     (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)

5 and 3     (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)

And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)

Answer:

2 and 3 is the answer we know it right

Answer:

1)14oz

2)28oz

Step-by-step explanation:

1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)

42*1/3=14

So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.

So that means she has 28 oz of water left when she gets there.

Answer:

8.2/10

Step-by-step explanation:

Answer:

42/50

Step-by-step explanation:

Answer:read the explanation

Step-by-step explanation:

The processors that power computers are able to perform calculations quickly, and the calculations are performed using Boolean algebra. People generally solve math problems using a base-10 number system. Boolean algebra relies on base-2 math, in which all numbers are represented using ones and zeros.

In addition to calculating basic math problems, however, computers also use Boolean logic. This logic, which is rooted in discrete mathematical principles, allows computers to solve problems that require making logical decisions. Boolean algebra and logic combine to make sophisticated devices; self-driving cars, for example, use the input calculated from digital cameras to make decisions about how to navigate.

Answer: x=40

Step-by-step explanation:

x+2x+x+20=180

first you combine the like terms which are (x, 2x, x) and get 4x.

now you have 4x+20=180

next you subtract 20 on both sides:

4x+20=180

     -20 -20

and get 4x=160

finally you divide 4 on both sides and get a final answers of x=40

Answer:

x = 5/(-4 z + y)

Step-by-step explanation:

Solve for x:

x y - 4 x z = 5

Hint: | Write the linear polynomial on the left-hand side in standard form.

Collect in terms of x:

x (-4 z + y) = 5

Hint: | Solve for x.

Divide both sides by -4 z + y:

Answer: x = 5/(-4 z + y)

Answer:

the correct answer is -8

Step-by-step explanation:

to find this you are going to substitute 8 in for x in the equation

Answer:

80

gummi bears

Step-by-step explanation:

Answer:

Claires mother did better because her z score was greater than Claires

Step-by-step explanation:

I j took the quiz

Claire's mother did better because her z-score was greater than that of Claires.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

As per the given information, the solution would be as

Here is Claire's data:

ц₁ = 510

σ₁ = 110

X₁ = 690

⇒ z-score = (X₁-ц₁ )/σ₁

Substitute the values,

⇒ z-score = (690 - 510)/110

⇒ z-score = 180/110

⇒ z-score = 1.636

Here is Claire's mother's data:

ц = 490

σ₂ = 100

X₂ = 680

⇒ z-score = (X₂-ц )/σ₂

Substitute the values,

⇒ z-score = (680 - 490)/100

⇒ z-score = 190/100

⇒ z-score = 1.9

So Claire's mother's z-score > Claire's z-score

Therefore, Claire's mother did better because her z-score was greater than that of Claires.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ5

Answer:

D

or

It is shifted 2 units up and 2 units right.

Step-by-step explanation:

The graph of  y = sec(x) is shifted 2 units up and 2 units right.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph is  y = sec(x)

After transformation it is y = sec(x - 2) + 2

We need to find the transformation applied to y=secx to get  y = sec(x - 2) + 2.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

y=f(x-a) is the same graph shifted 'a' units to the right. If 'a' is negative, then, the graph is shifted to the left.

y = f(x) - a is the same graph, but shifted 'a' units downwards. If 'a' is negative, then the graph will be shifted upwards.

In this case, our main function is y=sec(x). And the function y= sec(x-2)+2 is shifted two units to the right and 2 units upwards.

Hence, the graph of  y = sec(x) is shifted 2 units up and 2 units right.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ5

Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

[tex]b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)

Answer:

Your answer would be 15

Step-by-step explanation:

The first step you are going to want to do is multiply 2 and 30

30×2=60

Then you are going to divide 60 by 12

60÷12=5

Last you wanna add the 5 and the 10

5+10=15

Answer and explanation:

Please find attached answer and explanation