Assume the random variable x is normally distributed with mean u=89 and standard deviation o=4. Find the indicated probability.

Answer:

Week 1 =3.03

Week 2 =2.99

Week 3=2.9

Week 4=2.83

Step-by-step explanation:

Computation for the multifactor productivity measure for each of the weeks shown for production of chocolate bars.

Using this formula

Week Multifactor productivity measure = (Output / Total Cost)

Where:

Output represent Quantity produced

Total cost represent Labor cost + Material cost + Overhead

Let plug in the formula

Week 1= 30,000/(40*12*6)+[(40*12*6)1.5]+(450*6)

Week 1 =30,000/(2,880)+(2,880*1.5)+2,700

Week 1 =30,000/(2,880+4,320+2,700)

Week 1=30,000/9,900

Week 1 =3.03

Week 2= 33,600/(40*12*7)+[(40*12*7)1.5]+(470*6)

Week 2 =33,600/(3,360)+(3,360*1.5)+2,820

Week 2=33,600/(3,360+5,040+2,820)

Week 2=33,600/11,220

Week 2 =2.99

Week 3= 32,200/(40*12*7)+[(40*12*7)1.5]+(460*6)

Week 3 =32,200/(3,360)+(3,360*1.5)+2,760

Week 3=32,200/(3,360+5,040+2,760)

Week 3=32,200/11,160

Week 3=2.9

Week 4= 35,400/(40*12*8)+[(40*12*8)1.5]+(480*6)

Week 4 =35,400/(3,840)+(3,840*1.5)+2,880

Week 4=35,400/(3,840+5,760+2,880)

Week 4=35,400/12,480

Week 4=2.83

Therefore the multifactor productivity measure for each of the weeks shown for production of chocolate bars is :

Week 1 =3.03

Week 2 =2.99

Week 3=2.9

Week 4=2.83

Answer:

Angle EFG= 90

Angle EHF= 130

Angle HFG=56

Angle G =74

Answer:

angle EFD = 90

angle HFG=56

angle EHF= 29

angle G=73

Step-by-step explanation:

angle EHF=180-51=29

In triangle FGH :

angle FHG = 51 (given)

angle HFG= 90-34= 56( angle EFG given 90)

angle HGF= 180-(51+56) (anglesome prop)

angle G=180-107=73

Answer:

m = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

The 2 angles must add up to 90°.

(8m + 4)° + 38° = 90°

Step 2: Solve for m

Answer:

There are no like terms.

Step-by-step explanation:

Answer:

B $129.04

Step-by-step explanation:

Just took the exam on edgu

Answer:

B

Step-by-step explanation:

Answer:

-41, -38, -25, 16, 28, 36

Step-by-step explanation:

Answer:

a = 2; b = -1; and c = 3

Step-by-step explanation:

Please see attached image for the step by step answer

Answer:

[tex]f(x) = 5.5x + 1.2 \\ \: is \: the \: required \: situation.[/tex]

As per the given condition f(x) = 5.5x +1.2 inch will be the required model.

" A function is a mathematical expression to represent the relation between  one or more variable."

According to the question,

x represents the number of glasses

f(x) represents the height of the stack

height of the glass = 5.5inch

stack vertically with height = 1.2 inch

Therefore,

Required model

f(x) = 5.5x +1.2

Hence, f(x) = 5.5x +1.2 inch will be the required model.

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Answer:

0

Step-by-step explanation:

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

(4m²-6m-4m²-6m)/(4m²-9) = (-12m) / (4m²-9)

Now this equates to 1

(-12m) / (4m²-9) = 1

-12m =  4m²-9

4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

m² + 3m + (3/2)²= 9/4 + 9/4

(m + 3/2)² = 18/4

m = √18/2 - 3/2 or m = -√18/2 - 3/ = 0.621 = -3.621

So we can say that the equation has NO extraneous solutions.

Answer = 0

(I'm pretty sure it's correct)

Step-by-step explanation:

When dividing by 10,000, shift the decimal place 4 places to the left.

4509 => 0.4509

4,509/10,000 = 0.4509.

4,509/10,000 as a decimal number is 0.4509.

Decimals are used to write a number that is not whole.

Given a fraction, 4,509/10,000

Dividing by 10,000, shift the decimal place 4 places to the left.

Therefore, 4,509/10,000 = 0.4509.

Hence, 4,509/10,000 as a decimal number is 0.4509.

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Answer:

[tex]S=720[/tex]

Step-by-step explanation:

From the question we are told that

Six wire are attached to a circuit board

Generally using multiplication rule

Let number of possible sequence be given as S

Mathematically  

[tex]S=6! =6*5*4*3*2*1=720[/tex]

Therefore

Number of possible sequence [tex]S=720[/tex]

X=25°

................

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

In triangle ABC:

[tex]|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}[/tex]

In triangle MNO:

[tex]|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }[/tex]

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

[tex]|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8[/tex]

Hence O = (4, 8)

In algebra, like terms are terms that have the same combination of variables raised to the same powers. Let's determine whether 4x, 4y, and 4xy are like terms.

The term 4x consists of the variable x raised to the power of 1, while the term 4y contains the variable y raised to the power of 1. Thus, both 4x and 4y have the same combination of variables raised to the same power. Therefore, they can be considered like terms. On the other hand, the term 4xy consists of both the variables x and y, each raised to the power of 1.

Although it includes both x and y, the arrangement of the variables is different from the previous terms. This means that 4xy is not a like term to either 4x or 4y. In conclusion, among the given terms, 4x and 4y are like terms, while 4xy is not. It is important to identify like terms in algebra to simplify expressions and combine similar terms for easier calculations.

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Answer:

Rotate 90 clockwise wxyz

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have  10=5x. Then you would divide 5 by 5 and 10. You will get x = 2  

:)

Answer:

40

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is c.

this is because the sections on the line are counting by 3 and 3 away from -12 is -9. it's opposite is shown on the right of this line as shown to the right.

Answer:

5,7,9,11

Step-by-step explanation:

Answer:

8(w+6)=9

You must add parentheses to show the order in which you will complete the problem. Because it says “eight times the sum of a number and 6” you have to find the sum first, then multiply 8.

Answer:

0.4708413 is the answer

Answer:

a. Probability (0) = 36/375 = 0.096

Probability (1) = 61/375 = 0.162

Probability (2) = 124/375 = 0.330

Probability (3) = 128/375 = 0.341

Probability (4) = 30/375  = 0.08  

b.  iii) Yes, because they cover the entire sample space.    

c. Obviously, the sample space in this problem is iv.

iv = {0,1,2,3,4}  personality preferences in common.    

Step-by-step explanation:

In this question, we are asked to calculated the probability of preferences in common.

As we know, the general formula for probability is:

Probability = Number of favorable outcome/ Total number of favorable outcomes

Data Given:

For 0 = 36

For 1 = 61

For 2 = 124

For 3 = 128

For 4 = 128

Total = 375 Married Couples

Probability (0) = Number of favorable outcomes/ Total Number of Favorable outcomes

Probability (0) = 36/375 = 0.096

Similarly,

Probability (1) = 61/375 = 0.162

Similarly,

Probability (2) = 124/375 = 0.330

Similarly,

Probability (3) = 128/375 = 0.341

Similarly,

Probability (4) = 30/375  = 0.08

b. Total Probability can never be greater than 1 and less than 0.

So,  Probabilities of the sample  will add up to 1

iii) Yes, because they cover the entire sample space.

Total Probability = P(0) + P(1) + P(2) + P(3) + P(4) = 1

Total Probability = 0.09 + 0.16 + 0.33 + 0.34 + 0.08 = 1

c. Obviously, the sample space in this problem is iv.

iv = {0,1,2,3,4}  personality preferences in common.

Answer:

K1. 25   K2. 25  K3. 22.5  K4.  22

Step-by-step explanation:

im kinda confused what its asking

Answer:

1/2

Step-by-step explanation:

you are going from 20 to 10, meaning you have to multiply by a 1/2. This means that the scale factor is 1/2! Brainly pls!

Step-by-step explanation:

2(5x + 4) + 3(2x + 1)

= 10x + 8 + 6x + 3

= 16x + 11.

Answer:

Part A:

The graph passes through (0,2) (1,3) (2,4).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2

Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.

Since the slope is constant (the same) everywhere, the function is linear.

Part B:

A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.

An example is  y=2x-3

A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3

A non-linear function contains at least one of the following,

*Product of x and y

*Trigonometric function

*Exponential functions

*Logarithmic functions

*A degree which is not equal to 1 or 0.

An example is...xy= 1 or y= sqrt. x

An example of a linear function is 1/3x = y - 3

An example of a non-linear function is y= 2/3x

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

Answer: 0.3688

Step-by-step explanation:

If you are rounding to the nearest 4 decimal places the correct answer is 0.3688

From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.

Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.

Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.

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Answer:

Should be 9 feet.

Step-by-step explanation:

Well I just set up the equation 2x + 2(x-3) = 42 Then solved x and subtracted x by 9.

Answer:

Step-by-step explanation:

Let width be w and length be l

Then we have equations below:

Substitute l = w + 3 in the second equation and solve for w:

Answer:

21 divided by 2 and 2/3 = 11.1666667

Step-by-step explanation: