Suppose we want to determine how long it takes on average for a typical adult to build four different styles of tables,
which are referred to as A, B, C, and D. To create four treatment groups, the researcher begins by writing the name
of each member of the population on a slip of paper. Next, the researcher puts all slips of paper into a hat and
shuffles them well. Finally, the researcher draws slips of paper from the hat to determine the participants in the
experiment. Identify the component missing from the researcher's process.
The researcher did not assign individuals to treatment groups.
* The researcher did not create the correct number of treatment groups
The researcher did not select the experimental units randomly.
* The researcher did not allow each experimental unit the chance of being chosen
Intro
Final

1. The amount of money in the account after 10 years is 42,317.96 dollars.

2. it will take Pamela and Kevin 7.5 hours to complete the task together

Question(1)

Using compound interest formula,

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

Therefore,

p = 30,000

r = 3.5% = 0.035

t = 10

n = 1

Therefore,

\(A = 30000(1+\frac{0.035}{1} )^{1X10}\)

A = $42,317.96

Question 2:

Pamela takes 12 hours to complete a task.

Kelvin takes 20 hours to complete same task.

The time it will take both of them can be computed as follows:

using rate principle,

let

x = time it will take both of them to do the work together.

\(\frac{1}{x}=\frac{1}{12} + \frac{1}{20}\)

\(\frac{1}{x}=\frac{20+12}{240}\)

\(\frac{1}{x}=\frac{32}{240}\)

cross multiply

240 = 32x

x = 240 / 32

x = 7.5 hours

Therefore,  it will take Pamela and Kevin 7.5 hours to complete the task together

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Answer:

A

Step-by-step explanation:

Cosine X= adjacent /hypotenuse

where adjacent=5 and hyp=13

Cos X=5/13

Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:

P=(-4/5,34/5)

Step-by-step explanation:

P=2/5{(-8+6),(-2+19)}

P=2/5{-2,17}

P={-4/5,34/5}

Answer:

6 + 10v – 8w = 62

Step-by-step explanation:

Given the expression

6 + 10v – 8w

as

substituting the values in the expression

6 + 10v – 8w = 6 + 10(4) - 8(-2)

                      = 6 + 40 + 16

                      = 62

Answer:

Step-by-step explanation:

5.4

Answer:

27/5 = 5.4

Step-by-step explanation:

You can use long division

5.4

 -----------

5| 27

   25

---------------

       20

      -20

-------------------

0

The p value is calculated as 0.116

Null u = 70

alternate u ≠ 70

The alternate is a two tailed test

the test statistic calculation

t = x - u / s/√n

x = 85 + 77 + 82 + 68 + 72 + 69 / 6

= 75.5

standard deviation s = \(\sqrt{\frac{(85- 75.5)^2+(77- 75.5)^2+...(69- 75.5)^2}{6-1} }\)

= 7.01

Test stat = (75.5 - 70) / 7.01/√6

= 1.92

degree of freedom = 6 - 1 = 5

this is 2 tailed

p value using excel = tdist( 1.8, 5 , 2)

= 0.116

We fail to reject the null hypothesis because it is greater than the level of significance

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The value of solution after divide in form of decimal is,

⇒ 0.67

We have to given that,

To write the fraction 4/6 as a decimal.

We can simplify the fraction and then divide,

⇒ 4 /6

⇒ 2 / 3

⇒ 0.67

Rounded to nearest hundredth.

Therefore, The value of solution after divide in form of decimal is,

⇒ 0.67

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Answer:

651

Step-by-step explanation:

deltamath

Answer:B half of the circumference

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \bold{9}}}}}\)

Step-by-step explanation:

Given,

A = { Dirk , Johan , Frans , Sarie }

B = { Frans , Sarie , Tina , Klass , Henrika }

To find : n ( A ) + n ( A )

Now, count the number of member of a set A

n ( A ) = 4

Also, Count the number of members of a set B

n ( B ) = 5

Finding n( A ) + n ( B )

= 4 + 5

= 9

Hope I helped!

Best regards! :D

Answer:

Here is the answer

Step-by-step explanation:

The highest possible point for the fireworks to explode is to be considered as the 154 feet.

Since the equation is

\(h = -16t^2 + 96t 10\)

Now based on this, we have to determine the axis of symmetry

So,

\(t = -b \div 2a\\\\= -96 \div 32\)

= 3

Now

\(= -16(3)^2 + 96(3) + 10\)

= 154 feet

hence, The highest possible point for the fireworks to explode is to be considered as the 154 feet.

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Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.

We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.

The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.

We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus.  Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.

Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer: 0 = 3

Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.

                                                                    - 7            - 7

                                                               --------------------------

                                                               3x - 3x        = 3

                                                                       0          = 3

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

Answer:

24

Step-by-step explanation:

we have

x is-6*y

y is -4

according to question

x is -6*-4

x is 24

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

Answer:

 $92.54

Step-by-step explanation:

sales tax = cost * tax rate

               = 995 * .093

               = 92.535

In order to find the percentage of students within 2 standard deviations, let's look at the z-table for the percentages when z = -2 and z = 2.

From the z-table, we have that the percentage for z = -2 is 0.0228 and for z = 2 is 0.9772.

The percentage between z = -2 and z = 2 is given by:

Therefore the percentage is 95.44%.

Now, calculating the number of students within this percentage, we have:

Rounding to the nearest whole, we have 477 students.

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

dont know i just remeberd

Answer:

false

Step-by-step explanation:

hope this helps✨

The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

Since George bought a car at $5000 and sold it at $5500

So, the profit percentage be like

\(= (5500 - 5000) \div 5000\)

= 10%

hence, The benefit in the percentage did he make at the time of purchasing and selling the car is 10%.

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Answer:

6x2+12x+18

Hope that helps :)

Step-by-step explanation:

Answer:

hey what are you doing i think is 6x2+12x+18

Answer:

Step-by-step explanation:

4/mx