Please check for me and if any are incorrect please explain!

The best option is A: They are a close approximation of the actual value of what is being measured.

Significant figures, also known as significant digits, are a set of rules used to determine the precision or accuracy of a measured or calculated value. They indicate the reliability of the digits in a number and help communicate the level of certainty associated with a measurement or calculation.

The correct definition of significant figures is:

A. They are a close approximation of the actual value of what is being measured.

Significant figures represent the digits in a number that contribute to its precision. They include all the known digits in a measurement, as well as one estimated digit. The estimated digit is the least certain or the first uncertain digit in the measurement. The number of significant figures reflects the level of confidence in the measurement and helps convey the precision of the value.

Option B ("They are all known digits in a measurement") is incorrect because significant figures include both known digits and one estimated digit.

Option C ("The limit of a measurement") is incorrect because significant figures do not define a limit but rather represent the precision of the measurement.

Option D ("The gauge of the accuracy of a measurement") is partially correct, as significant figures can provide an indication of the accuracy, but they primarily convey the precision or reliability of the measurement rather than the overall accuracy.

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Answer:

408.6 meters.

Step-by-step explanation:

Let x be the height from the base of the building to the 86th floor,

∵ the total height of the building is another 124 meters above the 86th floor,

So, the total height of the building = ( x + 124 ) meters,

Now, the angle of elevation from the point on the ground to 86th floor = 82°,

Also, the distance from the point to the base of the building = 41 meters,

Thus, by trigonometric ratio,

[tex]tan 82^{\circ}=\frac{x}{41}[/tex]

[tex]\implies x = 41\times tan 82^{\circ}=284.614788895\approx 284.6\text{ meters}[/tex]

Hence, the height of the building = ( 284.6 + 124 ) = 408.6 meters.

The height of the building in consideration is given approximately as 408.61 meters

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Consider the figure attached for the given situation as described in the problem.

The person watching the building's 86th floor is at A.

The 86th floor is at C, the base of the building is at B.
The total height of the building is at D.

Using the tangent ratio to find the height of the building, we get:

[tex]\tan(82^\circ) = \dfrac{x}{41} \\\\x = \tan(82^\circ) \times 41\\x \approx 284.61 \: \rm meters[/tex] (from calculator).

Thus, the height of the building is length of AD

= |AD| = x + 124 ≈ 284.61 + 124 = 408.61 meters

Thus, the height of the building in consideration is given approximately as 408.61 meters

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Answer:

OPTION A.

OPTION D.

OPTION E.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the  slope and "b" is the y-intercept.

The  Standard form of the equation of the line is:

[tex]Ax + By = C[/tex]

Where "A" is a positive integer, and "B" and "C" are integers.

Choose two points from the table and find the slope with this formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

Points:

[tex](1,27)\\\\(4,24)[/tex]

So we get that the slope is:

[tex]m=\frac{24-27}{4-1}=-1[/tex]

Let's substitute the slope and the coordinates of the point (1,27) into  [tex]y=mx+b[/tex] and then solve for "b":

[tex]27=(-1)(1)+b\\\\27+1=b\\\\b=28[/tex]

Then, we get that the equation of the line in Slope-Intercept form is:

[tex]y=-x+28[/tex] or [tex]28-x=y[/tex]

In order to write it in Standard form, we can add "x" to both sides of the equation:

[tex]y+x=-x+28+x\\\\x+y=28[/tex]

We can solve for "x" by subtracting "y" from both sides of the equation:

[tex]x+y-y=28-y\\x=28-y\\\\28-y=x[/tex]

Answer:

A,D, and E

Step-by-step explanation:

Answer:

[tex]dAB=10\ units[/tex]

Step-by-step explanation:

we know that

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

[tex]dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}[/tex]

[tex]dAB=\sqrt{(-8)^{2}+(6)^{2}}[/tex]

[tex]dAB=\sqrt{64+36}[/tex]

[tex]dAB=\sqrt{100}[/tex]

[tex]dAB=10\ units[/tex]

Answer:  The required distance between the points between A(1, 1) and B(7, −7) is 10 units.

Step-by-step explanation:  We are given to explain the distance formula. Also, to calculate the distance between A(1, 1) and B(7, −7).

Distance formula :  The distance between any two two points with co-ordinates (a, b) and (c, d) is given by

[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]

Therefore, the distance between the points A(1, 1) and B(7, −7) is given by

[tex]D\\\\=\sqrt{(7-1)^2+(-7-1)^2}\\\\=\sqrt{36+64}\\\\=\sqrt{100}\\\\=10.[/tex]

Thus, the required distance between the points between A(1, 1) and B(7, −7) is 10 units.

Answer:

Step-by-step explan 3x+2x+20+4x-20=180. 9x=180 X=180÷9. X=20

The Owens Industries should credit $850 to their Assets, denoted by A and debit the sum of $850 to the Stockholder's Equity, denoted by SE.

In the question,

As the Owens industries is trying to increase its profile.

Cost of sponsorship = $850

To maintain the profile he can, by using the transaction accounting balance equation,

A = L + SE

The Owens Industries should credit $850 to their Assets, denoted by A and debit the sum of $850 to the Stockholder's Equity, denoted by SE.

That is,

$850 = L + $850

L = 0

This is how the accounting equation can be balanced.

Answer:

Here's ur answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radius is half the diameter, so is ...

  r = d/2 = 15 cm/2 = 7.5 cm

The area formula is ...

  A = πr²

Filling in the radius, we have ...

  A = π·(7.5 cm)² = 56.25π cm² ≈ 176.7 cm² . . . area

__

The circumference formula is ...

  C = πd

Filling in the diameter, we have ...

  C = π·(15 cm) = 15π cm ≈ 47.1 cm . . . circumference

[tex]\mathbb{ANSWER:}[/tex]

Refer to the attachment for the answer.

Answer: 12.56 inches

Step-by-step explanation: First, when know the following:

A clock is a circle, so the total movement, from 12 to 12 is 360° or 2π.

It is also know that a circle circunference (The total size of the circle on a straight line) is 2π * Radius

The minute hand does a circle on its travel, that circle radius is equal to 6 inches.

The movement from 12 to 4 is a third (4/12 = 1/3). Knowing this:

120° = (1/3) * 360° = (1/3) * 2π = (2/3) * π

So the travel from 12 to 4 is (2/3)π

To know the distance on inches, we multiply the distance on radians per the radius.

Total distance = 6 * (2/3)π

Total distance = 4π inches

Total distance = 12.56 inches

Final Answer:

The tip of the minute hand moves approximately 12.57 inches from 12 o'clock to 4 o'clock.

Explanation:

To solve this problem, we will consider the movement of the minute hand as an arc on a circle. The distance that the tip of the minute hand moves is the length of the arc that it traces as it moves from 12 o'clock to 4 o'clock. Here's how we'll calculate it:
Step 1: Determine the angle of movement in degrees.
The clock is divided into 12 hours, so each hour represents an angle of 360 degrees / 12 = 30 degrees. Since the minute hand moves from 12 o'clock to 4 o'clock, it covers 4 hours. Thus, the angle covered is 4 hours * 30 degrees/hour = 120 degrees.

Step 2: Convert the angle from degrees to radians.
To find the arc length, it is convenient to work with radians rather than degrees. The conversion from degrees to radians is performed using the factor π radians = 180 degrees.

[tex]\( \text{Angle in radians} = \text{Angle in degrees} \times \frac{\pi}{180} \)[/tex]

So, for our angle:

[tex]\( \text{Angle in radians} = 120 \times \frac{\pi}{180} \\\\\( \text{Angle in radians} = \frac{2}{3} \pi \)[/tex]

Step 3: Use the arc length formula.
The arc length (s) on a circle can be calculated using the formula s = r * θ, where r is the radius (length) of the circle (in this case, the length of the minute hand), and θ is the angle in radians.

[tex]\( s = r * \theta \\\\\( s = 6 \text{ inches} * \frac{2}{3} \pi \\\\\( s = 4 \pi \text{ inches} \)[/tex]

So, the distance the tip of the minute hand moves is [tex]\( 4 \pi \)[/tex] inches.

Step 4: Calculate the numerical value of the arc length.
To find the numerical value, we will approximate [tex]\( \pi \)[/tex] to 3.14159.

[tex]\( s \approx 4 * 3.14159 \\\\\( s \approx 12.56636 \text{ inches} \)[/tex]
Step 5: Round the numerical value to two decimal places.
[tex]\( s \approx 12.57 \text{ inches} \)[/tex]
Therefore, the tip of the minute hand moves approximately 12.57 inches from 12 o'clock to 4 o'clock.

Answer:

Your final answer is $528.92

Step-by-step explanation:

[tex]499 + 8\% = 538.92[/tex]

[tex]538.92 - 10 = 528.92[/tex]

Answer:

$519.6048

Step-by-step explanation:

Cost of subscription is $499 + 8% tax for 30 days

Cost of subscription for 30 days = $499

Cost of subscription for 1 days = [tex]\frac{499}{30}[/tex]

So, Cost for (30-7 = 23)days = [tex]\frac{499}{30} \times 23 [/tex]

                                               = [tex]382.56[/tex]

Cost of subscription for 23 days  = [tex]382.56[/tex]

Sale tax = 8 %

Sales Tax =  [tex]30.6048[/tex]

Cost of subscription = $499+$30.6048 = $529.6048

There is an off of $10

So, Final cost = $529.6048-$10=  $519.6048

Hence The final cost is $519.6048

Answer:

slope = -1/3, y-intercept (0, -3), x-intercept (-9 , 0)

Step-by-step explanation:

3 - x = 3(y + 4)

3 - x = 3y + 12

3y = 3 - x - 12

3y = -x -9

y = -1/3 x - 3

slope = -1/3

when x = 0 (y-intercept)

y = -1/3 × 0 - 3

y = -3

y-intercept (0, -3)

when y = 0 (x-intercept)

0 = -1/3 x - 3

1/3 x = -3

x = -9

x-intercept (-9 , 0)

Answer: 0.3061.

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean [tex]\mu[/tex], the actual temperature of the medium, and standard deviation [tex]\sigma[/tex].

Let X be the random variable that represents the reading of the thermometer.

Confidence level : [tex]=95\%[/tex]

We know that the z-value for 95% confidence interval is 1.96.

Then, we have

[tex]-1.96<\dfrac{X-\mu}{\sigma}<1.96[/tex]      [tex]z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]\Rightarrow\ -1.96\sigma<X-\mu<1.96\sigma[/tex]  

But all readings are within 0.6° of [tex]\mu[/tex].

So, [tex]1.96\sigma=0.6[/tex]  

[tex]\Rightarrow\ \sigma=\dfrac{0.6}{1.96}=0.30612244898\approx0.3061[/tex]

Hence, the required standard deviation will be  

The confidence level is 95% in normal distribution then The value of standard deviation is 0.3061.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Given

The temperature reading from a thermocouple placed in a constant temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.

Let x be the random variable that represents the reading of the thermometer.

The confidence level is 95%. Then the z-value for 95% confidence level interval is 1.96.

Then we have

[tex]-\ \ 1.96 \ < \dfrac{x- \mu}{\sigma} < 1.96\\-1.96 \sigma < x- \mu \ < 1.96 \sigma[/tex]

But all the readings are within 0.6° of μ. Then

[tex]1.96 \sigma = 0.6\\[/tex]

On solving

[tex]\sigma = \dfrac{0.6}{1.96}\\\\\sigma = 0.306122 \approx 3061[/tex]

Thus, the standard deviation is 0.3061.

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Answer:

a.[tex]P(E_1/A)=0.0789[/tex]

b.[tex]P(E_2/A)=0.395[/tex]\

c.[tex]P(E_3/A)=0.526[/tex]

Step-by-step explanation:

Let [tex]E_1,E_2,E_3[/tex] are the events that denotes the good drive, medium drive and poor risk driver.

[tex]P(E_1)=0.30,P(E_2)=0.50,P(E_3)=0.20[/tex]

Let A be the event that denotes an accident.

[tex]P(A/E_1)=0.01[/tex]

[tex]P(A/E_2=0.03[/tex]

[tex]P(A/E_3)=0.10[/tex]

The company sells Mr. Brophyan insurance policy and he has an accident.

a.We have to find the probability Mr.Brophy is a good driver

Bayes theorem,[tex]P(E_i/A)=\frac{P(A/E_i)\cdot P(E_1)}{\sum_{i=1}^{i=n}P(A/E_i)\cdot P(E_i)}[/tex]

We have to find [tex]P(E_1/A)[/tex]

Using the Bayes theorem

[tex]P(E_1/A)=\frac{P(A/E_1)\cdot P(E_1)}{P(E_1)\cdot P(A/E_1)+P(E_2)P(A/E_2)+P(E_3)P(A/E_3)}[/tex]

Substitute the values then we get

[tex]P(E_1/A)=\frac{0.30\times 0.01}{0.01\times 0.30+0.50\times 0.03+0.20\times 0.10}[/tex]

[tex]P(E_1/A)=0.0789[/tex]

b.We have to find the probability Mr.Brophy is a medium driver

[tex]P(E_2/A)=\frac{0.03\times 0.50}{0.038}=0.395[/tex]

c.We have to find the probability Mr.Brophy is a poor driver

[tex]P(E_3/A)=\frac{0.20\times 0.10}{0.038}=0.526[/tex]

Final answer:

The probability that Mr. Brophy is a good, medium, and poor risk driver given he has had an accident is approximately 0.079, 0.395, and 0.526 respectively, as calculated using Bayes' theorem.

Explanation:

Using Bayes' theorem, we can find out the probability that Mr. Brophy is a good, medium, or poor risk driver given that he has had an accident:

Let's denote A as the event of having an accident and Gi, Mi, Pi as the events of Mr. Brophy being a good, medium, or poor risk driver respectively.

The total probability of an accident, P(A), is given by:

P(A) = P(A|Gi)P(Gi) + P(A|Mi)P(Mi) + P(A|Pi)P(Pi)

P(A) = (0.01)(0.30) + (0.03)(0.50) + (0.10)(0.20) = 0.003 + 0.015 + 0.02 = 0.038

The probability of Mr. Brophy being a good driver given he had an accident, P(Gi|A), is:

P(Gi|A) = (P(A|Gi)P(Gi)) / P(A) = (0.01)(0.30) / 0.038 ≈ 0.079

The probability of Mr. Brophy being a medium risk driver given he had an accident, P(Mi|A), is:

P(Mi|A) = (P(A|Mi)P(Mi)) / P(A) = (0.03)(0.50) / 0.038 ≈ 0.395

The probability of Mr. Brophy being a poor risk driver given he had an accident, P(Pi|A), is:

P(Pi|A) = (P(A|Pi)P(Pi)) / P(A) = (0.10)(0.20) / 0.038 ≈ 0.526

Answer:

A

Step-by-step explanation:

from the graph you can tell that there is a vertical asymp. at -3.

In the anwers A is the only one with vertical asymp. at -3.

Answer:

A f(x)=[tex]\frac{x}{x+3}[/tex]

Step-by-step explanation:

To answer this question, to identify which rational function relates to that graph we must at first look for Rational Function in this form:

[tex]P(x)=\frac{Q(x)}{R(x)}[/tex]

Where P(x)= Polynomial Quotient, Q(x)=Quotient, R(x)=Remainder. Q(x) and R(x) are Polynomial Functions.

So exclude B, then C, for they do not fit as Polynomial Functions.

Then rather than setting the graph, the second step would be looking for the vertical asymptote, given by the equation on the denominator. We must detach it from the original function then solve it.

x+3=0 ∴ x=-3

Answer:

n=2/5 or 0.4

Step-by-step explanation:

thx mate brainliest plzz

Answer:

Step-by-step explanation:

The conversion factor cancels units of miles and leaves units of km.

  [tex]\dfrac{18\,mi}{h}\cdot\dfrac{1.609344\,km}{1\,mi}=\dfrac{28.968192\,km}{h}[/tex]

The speed rounds to 29 km/h.

Multiplying the distance per hour by the number of hours, we find the distance to be ...

  (28.968192 km/h)×(2 h) = 57.936384 km ≈ 57.94 km

Answer:

width = 23 inches

length = 57 inches

Step-by-step explanation:

Let x inches be the width of the rectangular solar panel.

So,

width = x inches

3 times the width = 3x inches

12 inches shorter than 3 times the width = 3x - 12 inches

length = 3x - 12 inches

The perimeter of the rectangle is

[tex]P=2(\text{Width}+\text{Length})[/tex]

Hence,

[tex]160=2(x+3x-12)\\ \\160=2(4x-12)\\ \\80=4x-12\ [\text{Divided by 2}]\\ \\4x=80+12\\ \\4x=92\\ \\x=23\ inches\\ \\3x-12=3\cdot 23-12=69-12=57\ inches[/tex]

Answer:

31 emails, but I can't do a # number line.

Step-by-step explanation:

Answer: There are 31 emails left in her inbox.

Step-by-step explanation:

Since we have given that

Number of emails in her inbox = 78

Number of emails she deleted = 47

We need to find the number of emails that are left in her inbox.

So, for left we would use "Subtraction operator"

So, Number of emails left in her inbox = Number of emails in her inbox - Number of emails she deleted.

[tex]=78-47\\\\=31[/tex]

Hence, there are 31 emails left in her inbox.

Answer: 380

Step-by-step explanation: Did you mean to ask how much time it took him? If he’s doing 4 races each being 95 miles it would simply be 95 x 4 = 380

The total distance driven by Walt is calculated by multiplying the length of each race (95 miles) by the number of races (4), giving a total of 380 miles.

Walt averages 98 miles per hour, each race is 95 miles long, and he completed 4 races. To find the total distance driven by Walt, we only need to know how long each race is and how many races Walt completed because the speed at which Walt drives does not affect the total distance he covered in the race. Therefore, to get the total distance, we simply multiply the length of each race by the number of races. In this case, Walt drove 95 miles x 4 = 380 miles in total.

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Answer:

The answer to your question is:  7.00 x 10⁶

Step-by-step explanation:

- Write a number with a non-zero digit                           7

- Six place values away from the decimal point             7 000 000.00

-Write this number in scientific notation                          7.00 x 10⁶

An example of a number with its first non-zero digit six places away from the decimal is 0.000001, which is written in scientific notation as 1 × 10^-6 by moving the decimal six places to the right.

An example of a number with its first non-zero digit six place values away from the decimal point is 0.000001. To write this number in scientific notation, we follow the standard convention: moving the decimal point such that there is only one non-zero digit to the left of the decimal point and counting the number of places the decimal point has moved to determine the power of 10.

In this case, we move the decimal point six places to the right, which gives us 1 × 10^-6. This means that 0.000001 in scientific notation is expressed as 1 × 10^-6 .

Answer:

Step-by-step explanation:

To solve this, we need to remember that when you multiplicate two roots you can multiply the numbers inside the two roots and put them inside just one root.

So in this case we have ∛5ab² ·∛25ab

We are going to multiply the numbers inside the roots and we get

∛5ab²·25ab = ∛75a²b³

But 75 = 5³ so we have

∛75a²b³ = ∛5³a²b³

Since we have powers of 3 inside the root, we can take them outside the root with the exponent divided by 3.

∛5³a²b³ = 5b∛a²

Thus, the correct answer is a) 5b∛a²

Answer:

Last year, the average cost of a traditional Thanksgiving dinner was $48.91.

Step-by-step explanation:

If this year the cost of a traditional Thanksgiving dinner was decreased by 1.76% compared to last year, then

last year cosr - 100%

this year cost - 100%-1.76%=98.24%

So,

$x - 100%

$48.05 - 98.24%

Write a proportion:

[tex]\dfrac{x}{48.05}=\dfrac{100}{98.24}[/tex]

Cross multiply:

[tex]98.24x=48.05\cdot 100\\ \\98.24x=4,805\\ \\x\approx 48.91[/tex]

Last year, the average cost of a traditional Thanksgiving dinner was $48.91.

Final answer:

The average cost of a traditional Thanksgiving dinner in the last year was approximately $48.91, calculated by dividing this year's cost of $48.05 by the percentage decrease converted to a decimal (1 - 0.0176).

Explanation:

To calculate the average cost of a traditional Thanksgiving dinner in the last year, given this year's average cost and the percentage decrease, we can use the formula original price = discounted price / (1 - discount rate). The discount rate in this case is the percentage decrease in cost, expressed as a decimal. Given that this year's average cost is $48.05 and the decrease is 1.76%, we first convert the percentage to a decimal by dividing by 100, which gives us 0.0176.

The formula becomes:

original price = $48.05 / (1 - 0.0176)

original price = $48.05 / 0.9824

original price = $48.91 approximately

Therefore, the average cost of a traditional Thanksgiving dinner in the last year was about $48.91.

Answer with Step-by-step explanation:

Let x be the angle

We have to show that when the measure of an angle is added to three times the angle's complement , the result is equal to the sum of the angle;s complement and the angle' s supplement.

Angle's complement =90-x

(by definition of complementary angles)

Therefore, the angle's supplement=180-x  ( By definition of supplement angles )

According to question

[tex]x+3(90-x)=270-2x[/tex]

[tex]90-x+180-x=270-2x[/tex]

Hence, when the measure of an angle is added to three times the angle's complement , the result is equal to the sum of the angle's supplement.

Hence, proved

Answer:

The answer to your question is 25%

Step-by-step explanation:

Data

Initial price = $2.00

Final price = $2.50

First we subtract the final price to the inicial price

              increment = 2.50 - 2.00

                                = $0.50    It's the amount that the school increases to the community members

            Now we use a rule of three to find the percent

                 $2.00 ----------------------  100%

                 $0.50  ---------------------    x

x = 0.50 x 100/2 = 50/2 = 25%          

Answer:

The answer is 10

Step-by-step explanation:

The side length cannot be negative, hence the side length of the patio will be 10 feet

Give the expression that represents the statement given as:

[tex](s+4)^2 = 196[/tex]

We need to get the length of the side of the patio "s"

[tex](s+4)^2 = 196\\s+4 = \pm\sqrt{196}\\s+4=\pm14[/tex]

Subtract 4 from both sides

[tex]s+4-4=14-4\\s=14-4\\s =10ft[/tex]

Since the side length cannot be negative, hence the side length of the patio will be 10 feet

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Answer:

(-37+43)-44=x

Step-by-step explanation:

i put the parentheses only because of PEMDAS. it's a pretty straightfoward question. To put it in an expression however, I'm not sure. Best of luck!

Answer:

This study will be identified as : exempt review

Step-by-step explanation:

A student is conducting a research project that involves using a survey. The survey asks subjects about their political affiliation and their favorite politicians.

No identifiable information will be collected.

This study will be identified as : exempt review

To qualify for a review at the exempt level, the research should be less than the minimal risk defined.

True. It is linear because it forms a straight line.

Answer:

Step-by-step explanation:

It is a straight line, which is always linear.

PLEASE MARK BRAINLIEST

Answer:

program status word

Step-by-step explanation:

The acronym for PSW is Program Status Word. The Program Status Word or the PSW consists of  status bits which shows the present Central Processing Unit state.

                    The PSW or Program Status Word is IBM System/360 architecture which means it is an independent model architecture for S/360 series of computers developed by IBM.

The status register contains all the information about the processor.

Thus the answer is program status word.