The difference in the percent of women who became pregnant in the two groups is statistically significant. Explain what this means to someone who knows little statistics.

Magnitude of the resultant vector = 31.3 lb and  Angle of the resultant vector = 23.3o are  the magnitude of the resultant force and the angle .

what is magnitude of forces?

a = 26 lb

Angle made by the vector 'a' = θ1 = 45o

Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb

Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb

b = 12 lb

Angle made by the vector 'b' = θ2 = 30o

Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb

Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb

Let the resultant vector be 'c'

Component of vector 'c' in the X-direction = cx

cx = ax + bx

cx = 18.38 + 10.39

cx = 28.77 lb

Component of vector 'c' in the Y-direction = cy

cy = ay + by

cy = 18.38 + (-6)

cy = 12.38 lb

c=104)2 + (cy)

c= (28.77)2 + (12.38)2

c = 31.3 lb

Angle made by vector 'c' = θ

Tanθ =

Tanθ = 12.38 28.77

θ = 23.3o

a) Magnitude of the resultant vector = 31.3 lb

b) Angle of the resultant vector = 23.3o

Learn more about magnitude

brainly.com/question/18485448

#SPJ4

THE COMPLETE QUESTION IS  -

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)

Answer:

320

Step-by-step explanation:

Plug the 4 into x and go from left to right:

4 times 4 is 16 times 20 is 320

Answer:

You can buy 31788.8 with $320.

Step-by-step explanation:

To calculate this, we know that yen is 0.01007 dollars per foreign. We also know that 1 dollar = 99.34 So, therefore you will multiply 320 * 99.34 and you will get 31788.8 Yen.

I hope this helps and have a good day! :D

Answer:

-10x + 25

Step-by-step explanation:

We will distribute the - 5 in to 2x which is - 10x

Then distribute - 5 to - 5 which is 25

Answer:

x = 17/5

Step-by-step explanation:

5x + 3 = 20

5x + 3-3 = 20 - 3

5x = 17

divide both by 5

Answer:

-96/7x or 13.714x

Step-by-step explanation:

-4/7+ 2/7x - 14x+4/7

first we do

4/7-4/7 which is zero, so we can cancel those out.

then we do

2/7x-14x ( or you can do -14x+2/7, it’s the same thing

use your calculator to make this easier. if you look you’ll be able to find a fraction button on most

after we do 2/7x-14x , we get -96/7x

if you want it in a fraction just divide and you’ll get -13.714x

Answer:

for "FLUKE" its 5! = 120

and "PROPOSE" its 7! /2!×2! = 1260

Step-by-step explanation:

"FLUKE" has no repeating letters.

"PROPOSE" has two repeating letters.

we divide by the repeating letters like I did on "PROPOSE" .

THANK YOU.

The statement is false .

let ; n=-5

     m=-6

n - m= -5 -( -6 )

       = -5 + 6

       = 1

which is not a negative real number .

therefore it shows that negative real number are not closed under substrsction.

the process or skill of taking one number or amount away from another.

Example: 7-5=2

7 is a minuend

5 is a subtrahend

and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.

to know more about substraction ;

visit ; brainly.com/question/28515282

#SPJ9

The expressions that are equal to a rational number are [(2/3)+(4/5)], [(√3) - (√3)], and [(√49)(√1)].

To learn more about real numbers, visit :

https://brainly.com/question/551408

#SPJ9

Answer:

2c+2

The number that will go in the green box is 2.

Step-by-step explanation:

3c-1-c+3

Combine the like terms.

3c-1-c+3=2c+2

Hope this helps!

Please mark as brainliest if correct!

Answer:

7

Step-by-step explanation:

22=6x+1-3x

21=6x-3x

21=3x

7=x

Answer:

no

Step-by-step explanation:

x=5

5(5+2)=35

8(5)-3=37

37 does not equal 35

[tex]Answer: Q\ is\ not\ midpoint\ of\ \overline {PR}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\overline {PQ}+\overline {QR}=\overline {PR}\\5(x+2)+(8x-3)=72[/tex]

Expand the parentheses on the left side of the equation:

x(5)+2*(5)+8x-3=72

5x+10+8x-3=72

13x+7=72

13x+7-7=72-7

13x=65

Divide both parts of the equation by 13:

x=5

Hence,

5(5+2)=

5(5)+2(5)=

25+10=

35

8(5)-3=

40-3=

37

35≠37

Answer:

25n

Step-by-step explanation:

product of n and 25

Product means multiply

25n

(a) The third term of the sequence is 19.

(b) The term-to-term rule of the new sequence is "subtract 13 and then divide by 6".

To learn more about sequence, visit :

brainly.com/question/21961097

#SPJ9

well, first off, let's see how much each one costs per month.

so, hmmm if she goes with the Bank loan at 9% for 3 years

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]

now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]

now let's take a look at the Credit Card's loan at 18% for 7 years

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]

now, in 7 years there are 84 months, thus  [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]

so, the Bank will give her a better deal per month, and to be honest altogether.

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

Option C is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Simple interest:

Principal = $9000

Rate = 9%

Time = 3 years

Simple interest:

= P x R x T / 100

= 9000 x 9 x 3 / 100

= 2430

Amount = simles interest + principal

A = 9000 + 2430 = $11430

3 years = 36 months

Monthly  payment = 11430 / 36 = $317.5

Compound interest:

Principal = $9000

Rate = 18%

Time = 7 years

A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]

A = 9000 [tex](1 + 0.18) ^{7}[/tex]

A = 9000 x3.19

Amount = $28,710

7 years = 84 months

Monthly payment = 28710 / 84 = $341.78

Thus,

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer: 68

Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68

hope this helps

Answer:

A

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , then

x + 37° + 75° = 180° , that is

x + 112° = 180° ( subtract 112° from both sides )

x = 68°

money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.

When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.

Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.

She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.

The total sum is thus,

(1, 3, 7, 15, 31, 63, 127)

Which translate to

(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)

So at the end of the 75th day, the total amount is 2^75-1

or

37778931862957161709567 pennies

or

377,789,318,629,571,617,095.67 dollars.

money would she have at the end of vacation =  377,789,318,629,571,617,095.67 dollars.

To know more about compounding visit:

https://brainly.com/question/18958915

#SPJ4

I understand that the question you are looking for is:

Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.

Answer:

its true

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

- (- ) = + given

| - 5 | - (- 9)

= 5 + 9

= 14

Answer:

14

Step-by-step explanation:

Be extremely careful with absolute values, parentheses, and subtraction.

[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]

The weighted average is -5

The formula for the weighted average is

                                        = Σwixi/Σwi               (1)

                                             Where wi = are the weights and

                                                         xi are the coordinates

We have been given that

w1 = 3   ,  x1 = -8            and  w2 = 1  , x2 = 4

Σwixi = w1x1 + w2x2

         = 3*-8  + 1*4

         = -24 + 4

        = -20

Σwi = w1 + w2

       = 3 + 1

      = 4

Now putting the required value in equation (1) we get

Weighted average = -20/4

                                 = -5

Hence the weighted average is -5

Learn more about weighted average here : https://brainly.com/question/14432034

#SPJ9

Answer:

3/2

Step-by-step explanation:

xy= -2 X -3

= 6

z = 4

so xy/z is 6/4 which is 3/2.

Answer:Sounds delicious

Step-by-step explanation:

Sounds nice, ill make this

Answer:

xxx 20

Step-by-step explanation:

The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

learn more about percentage here :

https://brainly.com/question/24159063

#SPJ4

Answer:

9

Step-by-step explanation:

So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.  

Answer:

9x

Step-by-step explanation:

EF = 3x

 FG is three times longer ....then FG =    three * EF     = 3 * 3x = 9x

Answer:

Domain:

$%error%$

Range:

$%error%$

Explanation:

Both

x

and

y

belong to all the real numbers since there is no restriction on either the domain or the range.

Step-by-step explanation:

Answer:

11.7

Step-by-step explanation:

5.85 * 2 =11.7

Answer:

[tex](3x-3y-4)(x-y-2)[/tex]

Step-by-step explanation:

Given expression:

[tex]3(x-y)^2-10(x-y)+8[/tex]

Let u = (x - y):

[tex]\implies 3u^2-10u+8[/tex]

To factor a quadratic in the form  [tex]ax^2+bx+c[/tex]  find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:

[tex]\implies ac=3 \cdot 8=24[/tex]

[tex]\implies b=-10[/tex]

Therefore, the numbers are: -6 and -4.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 3u^2-6u-4u+8[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 3u(u-2)-4(u-2)[/tex]

Factor out the common term (u - 2):

[tex]\implies (3u-4)(u-2)[/tex]

Substitute back in u = (x - y):

[tex]\implies (3(x-y)-4)((x-y)-2)[/tex]

Simplify:

[tex]\implies (3x-3y-4)(x-y-2)[/tex]

Answer:

15

Step-by-step explanation:

225/15