A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.

Answer:

A sample of 801 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

25% of U.S. homes have a direct satellite television receiver.

This means that [tex]\pi = 0.25[/tex]

How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]

[tex]n = 800.3[/tex]

Rounding up:

A sample of 801 is needed.

Answer:

A. y = cos(x) - 2

Step-by-step explanation:

The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.

However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.

Answer:

2

Step-by-step explanation:

find the slope of a line from a graph following those steps

-pick any two points on the graph that belong to the line,

for example (1,1) and (2,3)

-find out how did you get from one point to the other

to get from (1,1) to (2,3) I went 2 up (rise) and 1 to the right (run)

slope= rise /run = 2/1 =2

Few things to keep in mind:

-To find the slope, always move vertical first (y-axis) and than horizontal( x-axis) , because m=change in y/change in x

-For vertical movement, moving up is positive , moving down is negative

For horizontal movement, moving right is positive , moving left is negative

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Since both fractions have a different denominator, we need to look for a common denominator.

[tex]\frac{1}{3}=\frac{3}{9}[/tex]   Multiply 3 in both numerator and denominator

[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]    

Hence, 2/9 is the answer

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

9514 1404 393

Answer:

  $80

Step-by-step explanation:

You are given the formula ...

  P = I/(rt)

and the values I = 20, r = 0.05, t = 5.

Put the numbers in place of the corresponding variables and do the arithmetic.

  P = 20/(0.05·5) = 20/0.25 = 80

The amount $80 will generate $20 in interest over 5 years at 5% per year.

Answer:

option C

Step-by-step explanation:

[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

              [tex]=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10[/tex]

Answer:

Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Step-by-step explanation:

Since Fernando invested money in a 5-yr CD (certificate of deposit) that returned the equivalent of 3.3% simple interest, and the invested $ 1000 less in a 18-month CD that had a 2% simple interest return, if the total amount of interest from these investments was $ 945.00, to determine how much was invested in each CD the following calculation must be performed:

3.3 x 5 = 16.5

2 x 1.5 = 3

4000 x 0.165 + 3000 x 0.03 = 750

6000 x 0.165 + 5000 x 0.03 = 1140

5000 x 0.165 + 4000 x 0.03 = 945

Therefore, Fernando invested $ 5000 on the 5-year CD and $ 4000 on the 18-month CD.

Answer:

A

Step-by-step explanation:

Answer:

[tex]x < - 2[/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:

Step-by-step explanation:

1) 5       2)20      3)3    4) 12

5) 9      6)18     7) 3     8) 20

9) 27    10)15   11)5  12)18

Answer:

The first one is 145 in^2 and the other is 250 in^2

Step-by-step explanation:

For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145

For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250

Answer:

2nd option:

8x+2y=32

x+y=7

Step-by-step explanation:

Answer:

It is in fact the second one.

Step-by-step explanation:

It says that he bought a total of 7 tickets and it cost $32.

x represents the number of adult tickets and y represents the number of chid tickets.

So:

x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.

and

8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32

Answer:

[tex]A_{\Delta ABP}=\sin \theta[/tex]

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]

However, note that sin(π - θ) = sin(θ). Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]

Hence, the area of ΔABP is:

[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]

Answer:

NEDD POITS SERY

Step-by-step explanation:

Answer:

1-9 the answer is -8of the circle

Step-by-step explanation:

Answer:

Given:

v = 150d

v represents company's production for the coming year

d represents the number of days

150 is the daily production

The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.

Step-by-step explanation:

Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer

Step-by-step explanation:

The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920

The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.

Answer:

x=3

Step-by-step explanation:

7x+9=30

   7x=30-9

       =21

     x=21÷7

       =3

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

Answer:

ok

Step-by-step explanation:

please mark me brainleast

Answer:

See Explaination

Step-by-step explanation:

According To Question

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Answer:

Angle BAC corresponds with side length BC

Side length AC will correspond with angle ABC

Step-by-step explanation:

In a triangle, the side length will correspond to the angle opposite it and vice versa.

That is, the side length opposite angle A corresponds to the side of Angle A

Hence, in the triangle given above ;

Angle BAC corresponds with side length BC, because BC is opposite BAC

Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.

Answer:

(60.382 ; 83.998)

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of error

Mean = 72.19

The margin of error is : Tcritical * s/√n

n = 13 ; s = 15.88

Tcritical at 98%, df = 13-1 = 12 = 2.681

Margin of Error = 2.681 * 15.88/√13 = 11.808

Confidence interval = 72.19 ± 11.808

(60.382 ; 83.998)

Answer:

D. merit pay

An increase in pay because of how well you do a job is called merit pay.

Explanation:

Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.

Answer:

.321428571

Step-by-step explanation:

P(blue shirt | girl)

This means what is the probability of a blue shirt given that we have a girl

There are 56 girls and 18 girls wearing blue shirts

P(blue shirt | girl) = girls in blue shirts / girls

                            = 18/56

                               =.321428571

Answer:

x =150 men

Step-by-step explanation:

Think of the total as workdays

125men* 120days = 15000 workdays

We still need 15000 workdays

100 days * x = 15000workdays

Divide by 100

x = 15000/ 100

x =150 men

Answer:

150 men

Step-by-step explanation:

120 × 125 = 15000

15000 ÷ 100

150