The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times with the old multiple-line configuration was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line, the waiting times have a standard deviation less than 1.8 min. What improvement occurred when banks changed from multiple waiting lines to a single waiting line?

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

Answer:

She factored out a 4 from the equation.

Step-by-step explanation:

So our original equation is 12x + 4 = 20x - 12

Anika's first steep of her equation is 3x + 1 = 5x - 3

We know that the terms were not moved around, so the first step was likely multiplication or division.

We also see that a 4 has been factored out of the entire equation, like this:

12x + 4 = 20x - 12

4(3x + 4) = 4(5x - 3)

And these 4's cancel each other out.

So, I conclude that Anika's first step was dividing the entire equation by 4 or factoring out a 4 from the equation.

Answer:

a. 7/16

b. 27.5%

Step-by-step explanation:

Answer:

y= x^3+3x^2-6x-8

Step-by-step explanation:

Answer:

∠DAB = 99°

Step-by-step explanation:

Given:

ABCD is  PARALLELOGRAM

∠CDA = 81°

Find:

∠DAB

Computation:

ABCD is  PARALLELOGRAM

So,

∠CDA + ∠DAB = 180°

81° + ∠DAB = 180°

∠DAB = 99°

Using the formula for area of a circle: area = pi x r^2

You now have:

225pi ft^2 = pi x r^2

Divide both sides by pi:

225 = r^2

Take the square root of both sides:

r = 15

The radius is 15 feet.

The diameter is the radius x 2:

Diameter = 15 x 2 = 30 feet.

Answer: 30 feet.

Answer:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

Step-by-step explanation:

The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx[/tex]

And we want to find the equation of the curve.

Recall that arc length is given by:

[tex]\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx[/tex]

Rewrite our original integral:

[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx[/tex]

So:

[tex]\displaystyle \frac{dy}{dx}=\cos(x)[/tex]

It follows that:

[tex]\displaystyle y=\sin(x)+C[/tex]

Using the initial condition:

[tex]0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0[/tex]

The equation for our curve is:

[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]

Answer: 1 quart = 4 cups or 2 pints

Answer:

3.1

Step-by-step explanation:

if the last number is less thank five round down

Answer:

Angle 3 and Angle 4

Step-by-step explanation:

Congruent angles are equal to each other, these can't be congruent.

Answer:

x+35/5=2

x+35=10

x=-25

Answer:

[tex]\frac{1}{5} x[/tex]+7=2, x=-25

[tex]\frac{m}{7} -7=3[/tex], m= 105

[tex]\frac{3}{5} x+7=-20, x= -45[/tex]

[tex]-\frac{2}{7} t+5=17, t=-42[/tex]

4.9x+4.2=9.1, x=1

Explanation for last two:

[tex]-\frac{2}{7}t+5=17[/tex]  

Step 1: Subtract 5 from both sides.

[tex]\frac{-2}{7} t+5-5=17-5[/tex]

[tex]\frac{-2}{7} t=12[/tex]

Step 2: Multiply both sides by 7/(-2).

[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]

t=−42

4.9x+4.2=9.1

Step 1: Subtract 4.2 from both sides.

4.9x+4.2−4.2=9.1−4.2

4.9x=4.9

Step 2: Divide both sides by 4.9.

[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]

x=1

Answer:

Yes; for each input there is exactly one output. 2. ANSWER: No; the domain value 6 is paired with both 9 and 10. 3. {(2, 2), (−1, 5), (5, ... Draw a graph showing the relationship between

Step-by-step explanation:

i think that is the answer

Answer: Yes, the relatoin is a function. the graph of the function is a straight line.

Step-by-step explanation: If it is a straight line it is a function.

Answer:

x+12

Step-by-step explanation:

:)

Answer:

If I'm calculating correctly, it might be $36.15. Or, if you're rounding, $36.2.

Step-by-step explanation:

There are about 52.14 weeks in a year. If you multiply 40 by 52.14 you get 2085.6. Then you divide 75,400 by 2085.6 and that's how I got my answer. If I'm wrong, someone feel free to correct me.

Answer:

$36.25

Step-by-step explanation:

Ape.x

Answer:

I may be wrong, but it should be around 37301.18 Canadian dollars

Step-by-step explanation:

The  Chevy Volt costs  in Canada is 37,888 Canadian Dollar

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit

1 United States Dollar = 1.28 Canadian Dollar

According to the question

Chevy Volt costs in the United States  =  $29,600

As, per  current marked value

1 United States Dollar = 1.28 Canadian Dollar

Cost in Canada =  29,600 *  1.28 Canadian Dollar

                         =   37,888 Canadian Dollar

Hence, the  Chevy Volt costs  in Canada is 37,888 Canadian Dollar

To know more about unitary method here:

https://brainly.com/question/19423643

#SPJ2

Answer:

The answer would be A

Step-by-step explanation:

the answer is A because it shows the correct set of data

Answer:

it d. the proof demonstrates that a 2 + b 2=c 2

Answer:

x = 43 degrees

Step-by-step explanation:

First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.

Answer:

Step-by-step explanation:

We have:

Substitute J with 2R:

Regina needs 12 hours to complete work

and

Substitute R with J/2:

Jim needs 6 hours to complete same work

If Regina works as quickly as Jim:

Then

Jim can complete 1/6 of work in one hour, they both can complete twice work:

Time to complete work:

Answer:

Honestly, Mark above person answer as brainliest..okay

Answer:

95%

Step-by-step explanation:

912÷960=0.95

Hope this helps.

Answer:   [tex]7\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} (x-5)=\frac{4}{3} \\[/tex]

Multiply both sides by 2

[tex]2(\frac{1}{2} (x-5))= \frac{4}{3} (2)[/tex]

[tex]x-5=\frac{8}{3} \\x-5+5 =\frac{8}{3} +5\\x=7\frac{2}{3}[/tex]

Answer:

1/2(x-5) =4/3

X-5=4/3÷1/2

X-5=8/3

X=8/3+5

X=23/3

Answer:

I believe it's 44% could be wrong tho sorry-

Answer:

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

√673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

(2n+4)+6=-9+4(2n+1)

2n+4+6=-9+8n+4

2n+10=-9+8n+4

2n-8n=-9+4-10

-6n=-5-10

-6n=-15

6n=15

n=15/6

simplify

n=5/2

Answer:

its  5y−30

         2

Step-by-step explanation:

Because lets put this problem in slope form. The form is Y=mx+b

ok now lets put it with the number Y=2/5+6