The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.

Answer:

D Not similar

Step-by-step explanation:

For similar triangles the sides are always in proportions.

Here two sides are in proportion but third side isn't. So triangles are not similar.

Answer:

40

Step-by-step explanation:

5-2(3+9)+4

5-2(12)+4

3(12)+4

36+4

40

Answer:

a=326.76 yd^2

Step-by-step explanation:

a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2

Answer: The opposite of 0 is 0

Step-by-step explanation: Hope this help :D

Answer:

0

Step-by-step explanation:

because there is no opposite to 0 so it would just be 0

Answer:

604°F

Step-by-step explanation:

hope this helps have a nice day :)

Answer:

You divide the diameter by 2 to get the radius.

Answer:

[tex]a = \frac{1}{134217728}[/tex]

Step-by-step explanation:

Given

[tex]8^x = a^{-x/9}[/tex]

Required

Find a

Take log of both sides

[tex]log(8^x) = log(a^{-x/9})[/tex]

Apply law of logarithm

[tex]x\ log(8) = (-x/9) log(a)[/tex]

Divide both sides by a

[tex]log(8) = -\frac{1}{9} log(a)[/tex]

Multiply both sides by -9

[tex]-9\ log(8) = log(a)[/tex]

Apply law of logarithm

[tex]log(8^{-9}) = log(a)[/tex]

Cancel out log

[tex]8^{-9} = a[/tex]

Rewrite as:

[tex]a = 8^{-9}[/tex]

Apply law of indices

[tex]a = \frac{1}{8^9}[/tex]

[tex]a = \frac{1}{134217728}[/tex]

Answer:

No

Step-by-step explanation:

Fractions and decimals are not considered integers

1. x=-2, x=0

So, the equation in factored form would be x(x+2)=0.

2. x=0, x=4

So, the equation in factored form would be x(x-4)=0.

3. x=-2, x=0, x=4

So, the equation in factored form would be x(x+2)(x-4)=0.

Answer:

-2, 0, and 4

second part is none

third part is B

Step-by-step explanation:

I ended up doing it right now

Answer:

The quotient is 83

Step-by-step explanation:

More details in the pic attached:

Answer:

omg i suck at annotating on mac

Step-by-step explanation:

8,3

8,3

6,8,0

2,5,5

0

Step-by-step explanation:

False. the number is the x coordinate

True. the x-axis is horizontal

False. 0,0 is called the origin.

Answer:

A

Step-by-step explanation:

Because everything else is wrong trust me

Answer:

13 units is the answer.

Step-by-step explanation:

points (8,-4) and (3,8)

We can rewrite the Pythagorean theorem as,

[tex]d=\sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\\\d= \sqrt{(3-8)^2 + (8-(-4))^2} \\\\d=\sqrt{(-5)^2 + (12)^2} \\\\d=\sqrt{25 + 144} \\\\d=\sqrt{169} \\\\d=13\\\\[/tex]

∴ distance between 2 points (8,-4) and (3,8) = 13 units.

Answer: 26

Step-by-step explanation:

Angles on a straight line add to 180 degrees, so:

[tex]4x+4+4x-32=180\\\\8x-28=180\\\\8x=208\\\\x=26[/tex]

The value of x is 26.

A straight line is an endless one-dimensional figure that has no width

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.

The angles add up to 180 degrees in a straight line.

The two angles are 4x+4 and 4x-32

4x+4+4x-32=180

Add the like terms

8x-28=180

Add 28 on both sides

8x=180+28

8x=208

Divide both sides by 8

x=26

Hence, the value of x is 26.

To learn more on Straight lines click:

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Answer:

Heyyyyy, use https://www.bartleby.com/  it has helped me out a lot & has literally saved my grades. Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Answer:

This question is missing a denominator!

it is 7x-2/4x^2 and x-1/8x

I do not know the answer though....I came here looking for help!!

Step-by-step explanation:

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

Answer:

43.65 cm squared

Step-by-step explanation:

Answer:

7.1 in

Step-by-step explanation:

Given:

θ = 45°

Radius (r) = 9 in.

Required:

Length of the arc

Solution:

Arc length = θ/360 × 2πr

Plug in the values

Arc length = 45/360 × 2 × π × 9

Arc length = 7.06858347 = 7.1 in (nearest tenth)

Answer:

x= 24

I hope it's helps you

Answer:

a) $39+8x<75$, b) no, c) at most 4 pairs

Step-by-step explanation:

Answer:

10 hours or diez horas

Step-by-step explanation:

El total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).

(English)

A clock, often known as a timepiece, is a device that measures and displays the passage of time.

The clock works in 12 hours time period, therefore, the time between 7 am and 12 pm is 5 hours, similarly, the time between 12 pm and 5 pm is 5 hours.

Thus, the total hours between 7 am and 5 pm is 10 hours(5+5).

(Spanish)

¿Qué es un reloj?

Un reloj, a menudo conocido como reloj, es un dispositivo que mide y muestra el paso del tiempo.

El reloj funciona en un período de tiempo de 12 horas, por lo tanto, el tiempo entre las 7 am y las 12 pm es de 5 horas, de manera similar, el tiempo entre las 12 pm y las 5 pm es de 5 horas.

Así, el total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).

Learn more about Clock:

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Answer:

x<24

x<22

x<23

Step-by-step explanation:

X - 4<20

move 4 and add it to 20

x<24

same goes for the other solutions

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

Answer:

4√2 = 5.657

9 - 5.657 = 3.343

√3.343 = 1.828

2√2 = 2.828

1.828 - 2.828 = -1

Answer:

I also got -1 doing it on my calculator

Step-by-step explanation:

i first converted it to exponent form to get rid of the radical

      (9 - 4(2)^1/2 )^1/2  - 2(2)^1/2            solve inside the first parenthsis

      (9 - 4(1.414)^1/2  - 2(2)^1/2              

      (9 - 5.656)^1/2  - 2(2)^1/2                √2 times 4

      (3.343)^1/2  - 2(2)^1/2                     9 - √2 times 4

      1.828  - 2(2)^1/2                             √(9 - √2 times 4)

      1.828  - 2(1.414)                     √(9 - √2 times 4) - 2√2

      1.828  - 2.828                       √(9 - √2 times 4) - 2√2

      -1

223 is the answer its a pattern the pattern is    23 98  98 23 98   the last two digets is what u focus on