Arthemeatic sequence

Answer:

[tex]Mean = 42[/tex]

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

[tex]Total = 128[/tex]

[tex]D = 44[/tex]

Required

Determine the arithmetic mean of F and N

First, we have that:

[tex]F + N + D = 128[/tex]

Substitute 44 for D

[tex]F + N + 44 = 128[/tex]

Subtract 44 from both sides

[tex]F + N + 44 - 44 = 128 - 44[/tex]

[tex]F + N = 84[/tex]

Arithmetic mean of F and N is calculated as follows:

[tex]Mean = \frac{F + N}{2}[/tex]

[tex]Mean = \frac{84}{2}[/tex]

[tex]Mean = 42[/tex]

Answer:

42

Step-by-step explanation:

Answer:

22 hours

Step-by-step explanation:

12 per hour.

$36 = 7 sales.

(300-36)/12=22

So 22 hours.

Hope this helps plz hit that crown !!!

James worked for 20 hours.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given here, James earns $12 per hour and weekly bonus of $36 if he makes a total of 7 or more sales during a given week and earned a total of $300  . Let the time that James worked for be x , then we can form an equation;

  36 + 12x  = 300

⇒ 12x = 240

⇒     x = 20 hours

Hence, James worked for 20 hours.

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Answer:

3.5

Step-by-step explanation:

3.5

because it is

okay

Answer:

3 ⅙

Step-by-step explanation:

38 and 12’s common factor would be 2. Now the fraction is 19/6.

How many 6’s can fit into 19? 3. With a remainder of 1 we have:

3 ⅙

Answer:

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

Answer:

true

Step-by-step explanation:

on a numberline, -45 is smaller than -32, so therefore -45 is to the left.

An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.

The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.

Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.

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The question seems to be incomplete the correct question would be:

On a horizontal number line, -45 is located to the left of -35.

Find an inequality that represents this statement.

Answer:

The value is  [tex]z = -8.4[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  70  

    The mean is  [tex]\mu = \$ 5971[/tex]

    The standard deviation is  [tex]\sigma = \$ 219[/tex]

     The sample mean is  [tex]\= x = \$ 5751[/tex]

Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]    

=>      [tex]z = -8.4[/tex]    

Answer:

48

Step-by-step explanation:

12*4=w=48

Answer:

Option (A)

Step-by-step explanation:

Surface area of an object = Area of all the surfaces of the object

So, the surface area of the cylinder = Area of the two circular bases + Rectangular area around the surface of the cylinder

= πr²+ πr² + (2πr)h

= 2πr(r + h)

Therefore, Option (A) will be the correct option.

Answer:

A

Step-by-step explanation:

I did the quiz

Answer:

now me good boy

x=4

Answer:

The scooter is going faster.

Step-by-step explanation:

30/2 = 15ft/s

55/4 = 13.75ft/s

(the question was cut off so I used the information I had) Hope this helped!

Answer:

As 2021 and 1927 does not have any product of primes

HCF and LCM of 2020 and 1926 is shown below

Step-by-step explanation:

2020 = 2^2 × 5 × 101

1926 = 2 x 3^2 x 107

2  is the HCF

2 x 2 x 3 x 3 x 5 x 101 x 107  = 1945260

1945260 is the LCM

2022 and 1928 both have product of primes and their HCF and LCM is

1949208 is the LCF and 2 is the HCF

1949208 - 1945260 = 3948

3948/2 = 1974

2022-1928 = 94

2020 - 1926 = 94

1974/94 = 21

and brings us back to our year again.

Happy New Year to you.

Answer: log(2) 512= 9

Step-by-step explanation:

A P E X ;)

In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.

To understand this, let's break down the expression.

The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.

By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.

So, in logarithmic form can be written as:

[tex]log_{(2)}\ 512 = 9[/tex]

Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:

[tex]log_{(2)}\ 512 = 9[/tex]

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Answer:

6

Step-by-step explanation:

6 inches of snow is an amount above ground, so it is represented by a positive integer.

Answer: 6

Answer:

Firstly, it was 4 inches

After snowing it becomes (4+6)= 10 inches;

From ground it is 10 inches of snow

So, 10 inches is the right answer.

Answer: 0.79758

Step-by-step explanation:

Given that :

Mean (m) = 2.5

Variance = 0.36

Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6

The probability of the random variable having a value less than 3 is obtained by:

P(x < 3)

Using the relation to obtain the standardized Zscore :

Z = (x - m) / s

Z = (3 - 2.5) / 0.6

Zscore = 0.8333333

p(Z < 0.833) = 0.79758 ( Z probability calculator)

Answer:

just go with your heart

Answer:

a) 28.6ft

Step-by-step explanation:

tan(33)= x/44

x/44= tan(33)

x/44=.65

x= 44* .65

x= 28.6

Answer:

y=1/4x-5

Step-by-step explanation:

The formula is y=mx+b

m=slope, slope= 1/4

b= y-intercept, which equals -5.

Since there is a negative before the 5, instead of doing y=mx+b, you have to do y=mx-b.

The final formula would look like y=1/4x-5

Answer:

An equation is a math sentence that DOES contain an equals sign (=).

The inverse of addition is subtraction.

The inverse of subtraction is addition.

The inverse of multiplication is division.

The inverse of division is multiplication.

Step-by-step explanation:

I'm sorry if I got the first one incorrect.

Answer:

For every person added, the total cost increases by $6.50.

Step-by-step explanation:

Answer: I don't see anything

Step-by-step explanation:

Answer:

6 rooms.

Step-by-step explanation:

3 x 2 = 6

it takes 2 halves to make a whole so 3 x 2 = 6

Answer:

=-2

Step-by-step explanation:

x=-(4-2)

Answer:

false

hope this helps

Answer:

b number is the correct answer of the question

Answer:its a

a

Step-by-step explanation:

Answer:

The distance in radical form is √100 (which is equal to 10units

Step-by-step explanation:

Distance=√(-8--2)²+(7--1)²

D=√(-6)²+(8)²

D=√36+64

D=√100

D=10units