Find the area and perimeter of the figure in the graph below

area =

perimeter rounded to the nearest tenth =​

Answer:

No Solution

Step-by-step explanation:

For the left side of the equation, we can use distributive property

3(x-4)= 3x+2

3x-12=3x+2

  +12     +12

3x= 3x+14

-3x -3x

0 is not equal to 14

No Solution

Answer:

Let the number of chickens in the farm = x

Let the number of pigs in the farm = y

Number of legs of chickens = 2*x (since chickens have 2 legs)

Number of legs of pigs = 4*y (since pigs have 4 legs)

We are given that there are a total of 20 animals (pigs + chickens)

so, number of chickens + number of pigs = 20

x + y = 20

We are given that there is a total of 54 legs in the farm

so, legs of chickens + legs of pigs = 54

2x + 4y = 54

Solving for number of chickens and pigs:

from the question, we have deduced that:

x + y = 20

2x + 4y = 54

taking the value of x from the first equation and using it in the second equation

x = 20 - y

2(20-y) + 4y = 54

40 - 2y + 4y = 54

40 + 2y = 54

2y = 14

y = 7

Using this value of y in the first equation:

x + y  = 20

x + (7) = 20

x = 13

Therefore, there are 13 chickens and 7 pigs in the farm

Answer:

Step-by-step explanation:  The answer is 0.5

The distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

It is given that for every 1/4 miles Pascal walks Lucien runs 2/3 miles. We have to find out the number of miles Pascal walk for every 1 miles Lucien runs. This can be find out by dividing 2/3 by 1/4 and we get :

= [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

We know that when a fraction is divided by another , then the part right to the division sign is inversed and division sign is replaced with a multiplication sign.

i.e., the distance Pascal will walk for every 1 mile Lucien runs will be :

= [tex]\frac{2}{3}[/tex] × [tex]\frac{4}{1}[/tex]

= [tex]\frac{8}{3}[/tex] miles

Therefore , the distance Pascal walk for every 1 mile Lucien runs is equal to [tex]\frac{8}{3}[/tex] miles .

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Answer:

100+-75=25.

Step-by-step explanation:

I really hope this helps.

Answer:

25

Step-by-step explanation:

you just do 100-75 it is the same as 100+(-75)

Answer:

She is done fishing at 9:52 a.m

Answer:

9:52a.m.

Step-by-step explanation:

just add

Answer:

I believe 25% off 80 :D

Step-by-step explanation:

Answer:

It would be a 25% discount

Step-by-step explanation:

Answer:

a)Null hypothesis; H0: p = 0.82

Alternative hypothesis; Ha: p < 0.82

b-1) test statistic = -2.57

b-2)The p-value = 0.00545

c-1)Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.

c-2) Option A: The law has been effective since the p-value is less than the significance level

Step-by-step explanation:

A) We are given population mean as 82% = 0.8.l2

Thus defining the hypothesis, we have;

Null hypothesis; H0: p = 0.82

Alternative hypothesis; Ha: p < 0.82

b-1) We are told that a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. Thus; p^ = 150/200 = 0.75

Test statistic is given by the formula;

t = (p^ - p)/(√(p(1 - p)/n)

t = (0.75 - 0.82)/√(0.82(1 - 0.82)/200)

t = -0.07/0.0272

t = -2.57

b-2) From online p-value from t-value attached using; t = -2.57, significance level = 0.05, one tail distribution, and DF = 200 - 1 = 199, we have;

The p-value = 0.00545

c-1) Option B: Yes, we will reject the null hypothesis since the p-value is smaller than significance level.

C-2) We will conclude that;

The law has been effective since the pvalue is less than the significance level.

You can perform the t test for single mean to test the hypothesis.

The solutions are:

A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]

The alternate hypothesis: [tex]H_1: p < 0.82[/tex]

B: 1)  The value of t statistic is -2.58

2) The p value is 0.0053

C: 1)  Yes, since the p-value is smaller than significance level.

2)  The law has been effective since the p-value is less than the significance level.

We take null hypothesis for events as if nothing changed. So we will  the changed population mean to be same as before. Or  [tex]H_0: p = 0.82\\[/tex]

And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,

The alternate hypothesis: [tex]H_1: p < 0.82[/tex]

Solving for all problems:

A) We take null hypothesis for events as if nothing changed. So we will  the changed population mean to be same as before. Or  [tex]H_0: p = 0.82\\[/tex]

And thus, the alternate hypothesis will be that the mean is decreased than 82% due to the new law, thus,

The alternate hypothesis: [tex]H_1: p < 0.82[/tex]

B) 1) The sample size = n = 200, the percentage of people using phone is: [tex]\dfrac{150 \tiems 100}{200} = 75\%[/tex] thus p' = 0.75

The value of t statistic is calculated as:

[tex]t = \dfrac{p' - p}{\sqrt{(p)(1-p)/n}}\\\\t = \dfrac{0.75 - 0.82}{\sqrt{0.82 \times 0.18 / 200}} = -2.577[/tex]

2) p value from t table at df = 200 -1  == 199, we have p value at t = -2.58

The p value is 0.0053

C) 1) since the obtained p value is less than the significance level 0.05, thus we  will reject the null hypothesis and accept the alternate hypothesis. Thus,

Yes, since the p-value is smaller than significance level.

2) Thus, the conclusion is:

The law has been effective since the p-value is less than the significance level.

The solutions are:

A: The null hypothesis: [tex]H_0: p= 0.82\\[/tex]

The alternate hypothesis: [tex]H_1: p < 0.82[/tex]

B: 1)  The value of t statistic is -2.58

2) The p value is 0.0053

C: 1)  Yes, since the p-value is smaller than significance level.

2)  The law has been effective since the p-value is less than the significance level.

Learn more about null and alternative hypothesis here:

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Answer:

Yes

Step-by-step explanation:

Because the sides of the equilateral triangle are equal, the perimeter is equal to 3a.

Answer:

6+2=8

Step-by-step explanation:

I got this by multiplying 1/3 by 6 which equaled 2. So this means 2 is the equivalent to 1/3 of 6. You could also do whatever the number is in total (6) divided by 3 to find out how much 1/3 would be. Then you just add up the whole number and how much 1/3 of the first number is together to get your answer (8).

Answer:

y = 1/4x - 7/2

Step-by-step explanation:

To answer this question, we have to use point-slope form:

y - y1 = m(x - x1)

Substitute the numbers into the variables:

y - (-4) = 1/4(x - (-2))

y + 4 = 1/4(x + 2)

y + 4 = 1/4x + 1/2

y = 1/4x - 7/2

To verify your answer, simply substitute the values into your equation:

-4 = 1/4(-2) - 7/2

-4 = -1/2 - 7/2

-4 = -8/2

-4 = -4

Answer:

40

Step-by-step explanation:

5 + 2 = 7

56 ÷ 7 = 8

8 × 5 = 40

Answer: Mean: 23.9

Median: 25

Mode: 17

Step-by-step explanation:

For mean, add all the numbers and divide it by the amount of numbers.

For median, put all of the numbers from least to greatest and find the middle number.

For mode, find the number that is used the most.

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

1  

 The  alternative hypothesis  [tex]H_a  :  \mu < 15.9[/tex]

2

The  test statistics [tex]z =  -2.64 [/tex]  

Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  [tex]\mu  =  15.9 \  weeks[/tex]

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  [tex]\mu  =  15.9 \  weeks[/tex]

     The  null hypothesis is  [tex]H_o  :  \mu \ge 15.9[/tex]

      The  alternative hypothesis  [tex]H_a  :  \mu < 15.9[/tex]

Generally test statistics is mathematically represented as

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

=>    [tex] z =  \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}[/tex]

=>     [tex]z =  -2.64 [/tex]  

Answer:

x=10

Step-by-step explanation:

First, you gotta get the numbers with the x on one side and the whole numbers on the other side.

So, since there is a -3 on the right side, make that 0 by adding 3. Whatever you do to one side you have to do to the other side, so then add 3 the the left side. You should have 12x=9x+30.

Now, get the Xs on one side. Since there is a positive 9x on the left side, subtract 9x from that side to make that 0. Again, whatever you do to one side you have to do to the other side, so subtract 9x from the right side as well. This should leave you with 3x=30.

In order to get x by itself, we need to divide because when 2 things (in this case the 3 and the x) are right next to each other (no space in between,) it means they are multiplied together. To get x by itself, we need to do the opposite which is divide. 3x/3=x      30/3=10         So, x=10

btw, /=divide

Answer:

12x – 3 = 9x +27

=> 12x – 9x = 27 + 3

=> 3x = 30

=> x = 30/ 3

=> x = 10

Answer:  How can this function have a max/min if it’s not a parabola?

When you graph this it’s a line.

Answer:

16

Step-by-step explanation:

PEMDAS

Answer:

48-[tex]2^{4}[/tex]×2= 16

Step-by-step explanation:

hope it helps! good luck :)

Answer:The answer is B

x=0.75

I’m not sure though

Step-by-step explanation:

Answer:

2,400x26=62,400

Step-by-step explanation:

you times it by 26 because he gets paid biweekly

Answer:

6 +4 (11-2)

6 + 4 (9)

6+ 36

42

42÷3²

42÷9

4.6666667

Step-by-step explanation:

i hope the divided by 3^2 was the next step and not a part of the equation because if it was a part of the original equation than the answer is wrong

Answer:

​

Step-by-step explanation:

Answer:

A is the correct answer

Answer:

A and C

Step-by-step explanation:

Easiest way is to plug in values of t and trace the graph.

A (x, y) = (sin(t), cos(t))

At t = 0, (x, y) = (0, 1).

At t = π/2, (x, y) = (1, 0).

So the particle starts at (0, 1) and moves clockwise.  The period of sin(t) and cos(t) is 2π, so for 0 < t < 2π, the particle makes 1 revolution.

B (x, y) = (-sin(t), cos(t))

At t = 0, (x, y) = (0, 1).

At t = π/2, (x, y) = (-1, 0).

So the particle starts at (0, 1) and moves counterclockwise.  The period of sin(t) and cos(t) is 2π, so for 0 < t < 4π, the particle makes 2 revolutions.

C (x, y) = (cos(4πt), sin(4πt))

At t = 0, (x, y) = (1, 0).

At t = 1/8, (x, y) = (0, 1).

So the particle starts at (1, 0) and moves counterclockwise.  The period of sin(4πt) and cos(4πt) is 1/2, so for 0 < t < 1, the particle makes 2 revolutions.

D (x, y) = (cos(2πt), -sin(2πt))

At t = 0, (x, y) = (1, 0).

At t = 1/4, (x, y) = (0, -1).

So the particle starts at (1, 0) and moves clockwise.  The period of sin(2πt) and cos(2πt) is 1, so for 0 < t < 1, the particle makes 1 revolution.

Answer:

Costo total= $86.6

Step-by-step explanation:

Dada la siguiente información:

Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Cada metro cuesta $5.60.

Si y= costo total, y x= cost por metro, entonces:

y= 5.6x

Para 15.5 metros:

y= 5.6*15.5= $86.8

Answer:

180 - 107 = 73

Step-by-step explanation: