Amir subtracted a quantity from the polynomial 3x² + 8x - 16 and produced the expression x^2- 4. What quantity did Amir subtract? Explain how
you got your answer.

Answer:

A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

B) t= 0.3543860

C)  t≥ t∝/2 ( d.f)=2.024394

D)1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Step-by-step explanation:

The claim is that there is evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels which is the

alternate hypothesis

The null hypothesis is the reverse of the alternate hypothesis

The null hypothesis is that there is not enough evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Part A) H0: σ₁²-σ₂²= 0   against the claim  Ha: σ₁²-σ₂²≠0

Part B) t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)

  t=  2.214- 2.0115/ sqrt ( 2.951657/20+  3.57855/20)

 t= 0.2025/ sqrt(0.14758285 + 0.1789275)

t= 0.2025/0.5714108

t= 0.3543860

Part C) for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)= ± 2.024394

We look at the table with values 0.025 as ∝/2= 0.05/2= 0.025

in the degrees of freedom 38

The d.f = n1+n2-2= 20+20-2= 40-2= 38

Part D) Since the calculated value of t= 0.3543860 does not fall in the critical region  t≥ t∝/2 ( d.f)= ± 2.024394 we conclude that H0 is true and accept the null hypothesis.

So option 1 is correct

1) There is no evidence of a difference in the variability of the amount of time required to reach a customer service representative between the two hotels.

Answer:

Step-by-step explanation:

In statistics, about 68 percent of values come in one standard deviation of the mean by using a standard normal model.   Approximately 95% of the data were all within two standard deviations from the mean. Almost all of the data are in the range of three standard deviations of the mean (roughly 99.7%).

The 68-95-99.7 law, also known as the Empirical Rule, is based on this evidence. 68 percent of the data values of a naturally distributed data collection of small children with a mean of 8.2 and a standard deviation of 10.8 would be between -2.2 and 19.0.

Within a mean of 14.1 as well as a standard deviation of 8.2, 68 percent of the data values in a usually distributed data collection of older children would be between 5.9 and 22.3.

However, we cannot conclude that the data is naturally distributed since the real actual data vary from the usual normal curve computed above.

Hence, various measures like either goodness of fit or theory testing, would be used for this.

Answer:1.53

Step-by-step explanation:

Answer:

$33.75

65%

$13.78

Step-by-step explanation:

commission earned = percentage commission x worth of goods sold

4 1/2% x $750

4.5% x $750

0.045 x $750 = $33.75

Percentage mark-up = [(selling price - cost price) / cost price] x 100

[(90.75 - 55) / 55) x 100

= 65%

new income = 6% of $13 + 13

0.06 x 13 = $0.78

$13 +  $0.78 = $13.78

Answer:

I can't understand your equation. Please rewrite it.

Step-by-step explanation:

9514 1404 393

Answer:

  1 1/6 hours

Step-by-step explanation:

Assuming distance and time are proportional, 2/3 of the 1 3/4 hours remain:

  (2/3)(7/4) = 14/12 = 1 1/6 . . . . hours remain

The trip will take 1 1/6 hours longer.

Answer:

the answer is 1 1/6 hours

Step-by-step explanation:

:)

Answer:

tanx=d/f, sinx=d/e, cosx=f/e

Step-by-step explanation:

Find the opposite, Adjacent and hypotenuse of the right triangle.

Opposite= d , Adjacent= f, Hypotenuse= e

Tanx = opposite/adjacent

Sinx= opposite/hypotenuse

Cosx= adcajent/hypotenuse

Answer:

Step-by-step explanation:

b

Answer:1566

Step-by-step explanation:

9514 1404 393

Answer:

  (i) not continuous at x=2

  (ii) -√2

Step-by-step explanation:

(i) The function simplifies to ((x -2)(x+2))/(x -2) = x +2 . . . . x ≠ 2

The left and right limits at x=2 exist and are the same: 4. However, the function is undefined at x=2, so the conditions for continuity are not met.

__

(ii) The expression is indeterminate (0/0) at x=π/4, so  L'Hopital's rule can be used to find the limit.

  lim[x→π/4] = ((d/dx)(cos(x)-sin(x)))/((d/dx)(x-π/4)) = (-sin(π/4)-cos(π/4))/1

  lim[x→π/4] = -√2/2-√2/2 = -√2

The limit is -√2.

Answer:

x=0, -28.

Step-by-step explanation:

abs(x+14)=14

x+14=14

x=14-14=0

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

x+14=-14

x=-14-14

x=-28

Answer:

[tex] F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

[tex] \displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2} [/tex]

recall law of exponent

[tex] \displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn} [/tex]

to simplify:

[tex] \displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )[/tex]

simplify multiplication:

[tex] \displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )[/tex]

distribute:

[tex] \displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6} [/tex]

hence our answer is F

Answer:

261

Step-by-step explanation:

→ Substitute 2 into g( x )

( 3 × 2 ) + 10 = 16

→ Substitute that answer into f( x )

16² + 5 = 261

Answer:

(-2,3)

Step-by-step explanation:

You can see that the purple is the new triangle. So look at the coordinate of the D. You can see that it is plotted at (-2, 3)

Answer:

(-2, 3)

to find the point of something you first find where uts standing on the x-axis (vertical line) and then where its standing on the y-axis (horizontal line)

Answer:

Paint is measured in gallons

Step-by-step explanation:

Answer:

B. the mean is 59 inches

Step-by-step explanation:

if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.

Answer:

B: The mean wingspan is 59 inches.

Step-by-step explanation:

The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.

Answer:

n  =  60

Step-by-step explanation:

Terms which are divisible by 9 between 60 and 600.

63, 72, 81, ........ 594

n  =  [ (l - a)/d ] + 1

n  =  [(594 - 63)/9] + 1

n  =  (531/9) + 1

n  =  59 + 1

n  =  60

Answer:

-2/5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= ( 3-9)/(0+15)

= -6/15

= -2/5

Answer:

if you like them back say you like them back if not say you're flattered but your'e not looking for anything right now.

Step-by-step explanation:

Answer:

[tex]\huge {\purple {a_{50} = 153}} [/tex]

Step-by-step explanation:

Given sequence is 3n + 3

[tex] \implies a_n = 3n + 3[/tex]

Plug n = 50

[tex] \implies a_{50} = 3(50) + 3[/tex]

[tex] \implies a_{50} = 150 + 3[/tex]

[tex]\huge {\red {\implies a_{50} = 153}} [/tex]

We have ,

=> T_n = a + ( n - 1)d

=> T₅₀ = 3n + 3

=> T₅₀ = 3(50) + 3

=> T₅₀ = 150 + 3

=> T₅₀ = 153

Answer:

hi i know this not the answer but hope it help:)))

Step-by-step explanation:

Multiply the probabilities just calculated for each individual spinner together to find the probability of getting any specific combination of outcomes from spinning the arrows on both spinners. In the example, you would multiply 1/4 by 1/3 to obtain 1/12.

Answer:

no of students 63

the answer is...

21

Answer:

x<26

Step-by-step explanation:

8(x/4 - 6) < 4

Divide both sides by 8;

8(x/4 - 6)/8 < 4/8

Simplify;

x/4-6<1/2

Add 6 to both sides;

x/4-6+6<1/2+6

Simplify;

x/4-6+6<1/2+6

Simplify

x/4-6+6

=x/4

Simplify;

1/2+6

Convert it into a fraction;

6*2/2+1/2

Since the denominators are equal combine the fractions;

6*2+1/2

6*2+1=13

=13/2

x/4<13/2

Multiply both sides by 4;

4x/4<13*4/2

Simplify 4x/4

4x/4

4/4=1

=x

Simplify 13*4/2

Multiply the numbers:13*4=52

=52/2

Divide the numbers:52/2=26

=26

x<26

HOPE THIS HELPED!!!

Answer:

  x = 12

Step-by-step explanation:

An inscribed angle has half the measure of the arc it intercepts.

  arc SU +arc UT = 180°

  2(43°) +(9x -14)° = 180°

  9x = 108 . . . . . . . divide by °, subtract 72, simplify

  x = 12 . . . . . divide by 9

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

Answer:

4√2

Step-by-step explanation:

Using Pythagoras Theorem ,

[tex]\implies h^2 = p^2 + b^2\\\\\implies 9^2 = x^2 + 7^2 \\\\\implies 81 = x^2 + 49 \\\\\implies x^2 = 81 - 49 \\\\\implies x^2 = 32 \\\\\implies \boxed{x = 4\sqrt2} [/tex]

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32 units

Answer:

Answer and steps in picture.

Answer:

7/8

Step-by-step explanation:

7/5•5/8= 7•5/5•8

= 35/40

=7/8

hope this helps chu