if he uses upper and lower control limits of 520 and 480 hours, what is the probability that a sample mean is out of control?( assuming the process standard deviation is known to be 20 hours)

Answer:

(3, 6)

Step-by-step explanation:

I hope this helps you!

Answer: (if A=P(1+rt) is your formula)

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.25%/100 = 0.0625 per year.

Solving our equation:

A = 15000(1 + (0.0625 × 7)) = 21562.5

A = $21,562.50

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 6.25% per year for 7 years is $21,562.50.

The slop m is ( 2-3).The slope formula, or the ratio of the change in the y values to the change in the x values, is m is equal to subtraction of y2 and y1 and divide by subtraction of x2 and x1  The initial point's coordinates are x1 and y1, respectively.

The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1). The initial point's coordinates are x1 and y1, respectively.

(10, 7) and (3, 1).

m=(y2-y1)/(x2-x1).

3-1 / 7-10= 2/-3

The slop m is ( 2-3)

When determining the slope of a straight line without its equation, there are three steps. The first point's coordinates are x1 and y1. Step one is to locate the line's first two points. Step 2: Decide which will be (x1, y1) and which will be (x2, y2). Step 3: Determine the slope using the slope equation.

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Answer:

Step-by-step explanation:

28xy

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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Answer:

Step-by-step explanation:

18% of 430 comes out to 77.4 total pictures taken. After rounding it to the nearest whole number because you cant take a fraction of a picture it would be 77 total pictures taken.

The value of Simple interest for the given data comes as $2550.

Given,

The Principal amount is equal to 12,000 dollars.

The Rate of Interest is stated at 4.25%.

The Total time period given for the question is 5 years.

Let the principal amount be considered as (P), the Rate of Interest per annum be (R), the Time period is (T), and Simple Interest is (S.I).

So, according to the given question,

P = $12,000

R = 4.25%

T = 5 years

We know, Simple interest can be calculated by multiplying the Principal amount with the Rate of Interest as well as the Time period.

If we write it mathematically, the formula will be,

S.I = PRT/100

=> S.I = (12,000* 4.25* 5)/100

=> S.I = (2,55,000)/100

=> S.I = $2550.

Hence, the value of Simple Interest will be 2550 dollars.

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The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.

Given that,

That by increasing the sample size, the amount of sampling error will be decreased

Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.

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Answer:

17

Step-by-step explanation:

4x-10=58(alternate interior angles)

4x=68

x=17

Answer:

2.5991  <  3.7  <  3.706  <  3.76

Step-by-step explanation:

The values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.

According to the question,

We have the following information:

We have a ratio table where two rows from the beginning are given.

In these rows, we have 1:5 and 6:30.

Now, we can easily find that the number in the second column is found by multiplying 5 into the number in the first column.

Now, for the third row, we have the number in the second column,50:

x*5 = 50

x = 50/5

x = 10

Third row: 10 to 50

Fourth row:

Number in the first column = 11

11*5 = 55

11:55

Fifth row:

Number in the first column = 18

18*5 = 90

18:90

Hence, the values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.

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Distance of Park bench from building is 275 m when  angle of depression  top of the building to a park bench on the ground.

What is the elevation and depression angle?

Angle of depression, θ = 54°

The height, h = 200

The distance of park bench from the building, d is given by

Tan θ = opposite / Adjacent

Tan 54  = d / 200

d = 200 * Tan 54

d =  200 *  1.3764

d = 275.28

D = 275 M

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Answer: y = -.06x + 0.2

Step-by-step explanation: Find the slope by plugging in the given values to the slope formula to find that the slope is -0.6. Next, determine the y-intercept is b=y1−m⋅x1: b = 2 - (-0.6) ⋅ (-3) = 0.2 Finally, the equation of the line can be written in standard form y= -0.6x + 0.2.

Answer:

The trigonometric functions, sin, cos and tan for an angle are the primary functions. The value for cos 60 degrees and other trigonometry ratios for all the degrees 0°, 30°, 45°, 90°, 180° are generally used in trigonometry equations. These trigonometric values are easy to memorize with the help trigonometry table.

Cos 60 Degree Value

In a right-angled triangle, the cosine of ∠α is a ratio of the length of the adjacent side (base) to the ∠α and its hypotenuse, where ∠α is the angle formed between the adjacent side and the hypotenuse.

Cos 60 Degree value

Cosine α = Adjacent Side / Hypotenuse

Cos α = AC / AB

Cos α = b / h

Now, to find the value of cos 60 degrees, let us consider, an equilateral triangle ABC as given below:

Cos 60 Degree

Here, AB = BC = AC and AD is perpendicular bisecting BC into two equal parts.

As we know, cos B = BD/AB

Let us consider the length of each side as 2 units, such as AB = BC = AC = 2 units and BD = CD = 1 unit.

Therefore, the value of cos 60° = BD/AB = ½

In the same way, we can write the value of sin 60° and tan 60° by evaluating the required sides.

In right triangle ABD, by Pythagoras theorem:

AB2 = AD2+ BD2

22 = AD2 + 12

AD2 = 22 -12

AD2 = 4 – 1

AD2 = 3

AD = √3

Now, we have got all the sides of triangle ABD.

Sin 60° = AD/AB = √3/2

Tan 60° = AD/BD = √3 / 1 = √3

We can also write the value of cos 60 degrees in decimal form as:

cos 60° = 1/2 = 0.5

Also, we can write the values of sine, cosine and tangent with respect to all the degrees in a table.

Let us draw a table with respect to degrees and radians for sine, cosine and tangent functions.

Angle in Degrees 0 30 45 60 90 180 270 360

Angle in Radians 0 π/6 π/4 π/3 π/2 π 3π/2 2π

Sin 0 1/2 1/√2 √3/2 1 0 -1 0

Cos 1 √3/2 1/√2 1/2 0 -1 0 1

Tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Unit Circle in Trigonometry

It is possible to give the values of trigonometric ratios with respect to radians equivalent to degrees, in case of a unit circle, whose radius is equal to one. The radian for a unit circle is denoted by π. In the below figure, the angle values are represented in degrees instead of radians.

Cos 60 Degree graph

You have learned about cos 60 degrees value along with other degree’s values here now. Also, the derived values for sin and tan with respect to degrees and radians. In the same way, we can find the values for other trigonometric ratios like secant, cosecant and cotangent.

Let us see some example where we can use the value of cos 60 degrees.

Example 1: Find the value of cos 60° + sin 30°.

Solution:

cos 60° + sin 30°

= cos 60° + sin (90° – 60°)

= cos 60° + cos 60°

= (1/2) + (1/2)

= (1 + 1)/2

= 2/2

= 1

Alternatively, cos 60° + sin 30° = (1/2) + (1/2) = (1 + 1)/2 = 2/2 = 1

Example 2: Calculate: 2 sin 60° – 4 cos 60°

Solution:

We know that, sin 60° = √3/2 and cos 60° = 1/2

Thus, 2 sin 60° – 4 cos 60° = 2(√3/2) – 4(1/2)

= √3 – 2

therefore it 3/2

Step-by-step explanation: Peace Out.... Have a good day

PLEASE GIVE MARK BRAINIEST I WORK SO HARD IT TOOK  ALL DAY!!!

The equation of given graph is y = |x - 3| + 5.

The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.

Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.

As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.

So, by putting the value of vertex in general equation we get the equation of the graph,

y = |x - 3| + 5

Therefore, the equation of given graph is y = |x - 3| + 5.

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Answer:

Step-by-step explanation:           The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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The value of the square root of 60 subtracted from 17 is D. 9.3

It's important to note that a square root simply means the number that you can multiply by itself in order to get the original number.

In this case, the information given regarding the numbers is illustrate below:

= 17 - ✓60

= 17 - 7.7

= 9.3

Therefore, the value is.9.3

The correct option is D.

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Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

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Answer:

5x+10y

Step-by-step explanation:

to expand we distribute each term with 5

5(x)+5(2y)

5x+10y

Hopes this helps please mark brainliest

Answer: 5x + 10y

Step-by-step explanation:

Re-order terms so constants are on the left

(x+2y)x5

5(x+2y)

Distribute

5(x+2y)

5x+10y

The probability the selected dog is medium and brown by Sarah is 6/49.

Probability = favourable outcome/ total outcome

The table for the given question is attached.

Total dogs owned by Sarah = 7.

Total medium sized dogs = 2.

Total brown coloured dogs = 3

Probability( medium sized ) = 2/7

Probability( brown coloured ) = 3/7

Probability( medium sized and brown coloured ) = (2/7)×(3/7)

Probability( medium sized and brown coloured ) = 6/49

Thus, the probability the selected dog is medium and brown is 6/49.

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81 of 270 pages in a book is a part of the situation.

A division is a process of splitting a specific amount into equal parts.

Given,

81 of 270 pages in a book.

Eighty one of two hundred seventy pages in a book.

In the given situation, A book has 270 pages in that we have taken 81 pages which are part of the book.

We have taken pat of the book,

In the given situation, book is whole and 81 is the part.

Hence  81 of 270 pages in a book is a part of the situation.

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The amount of money left over after buying the laptop is $55.17.

From the information, the laptop he wants is in stores for $749.99 but is on sale for 25% off and after the discount is removed, a tax rate of 5.75% is added on.

This will be:

= $749.99 - (25% × $749.99)

= $749.99 - $187.50

= $562.49

The addition of the tax will be:

= $562.49 + (5.75% × $562.49)

= $562.49 + $32.34

= $594.83

The money left over will be:

= $650 - $594.83

= $55.17

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The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Answer:

y=5 .................

Answer: when the value on each side of the equal sign is the same

Step-by-step explanation: for example, 9=9 is a true equation. 5+4 = 9 is a true equation

Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

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The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

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Caina anticipate in income next year  $14000.

What is an income?

The amount of money, property, and other value transfers received over a predetermined period of time in return for goods or services is often referred to as income.

We have,

A scholarship of $6000 and a grant of $3200 together are $9200

6000 + 3200 = 9200.

She will make another $400 per month working a part-time job, so for 12 months she will make $400 × 12 = $4800.

All together will be $9200 + $4800 = $14000.

Therefore, She anticipate in income next year  $14000.

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The three posts can be given in 4080 ways among 17 students.

It is given that the number of people available to choose the posts from is 17.

There are three posts here- president, vice president, and secretary.

Now, if we choose a candidate for President first, there are 17 students available.

Next, if we select a Vice-President, there are 16 ways to select the vice-president, since one student already is the president.

At, last there are 15 students available to choose the secretary from as two students already hold a post.

Hence, the number of ways to select the President, Vice-President, and Secretary are-

17 X 16 X 15 ways

Therefore we get

4080 ways.

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Answer:

first and third

Step-by-step explanation:

the equation representing direct proportion is

y = kx ← k is the constant of proportion

y = - 4x is in this form with k = - 4

y = 7x is in this form with k = 7

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

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