please help me please

If the total height between two floors is 9'0 1/2" and 14 risers are to be used in a set of stairs, the height of each riser would be approximately 7.75 inches.

To find the height of each riser in a set of stairs given the total height between two floors, we need to divide the total height by the number of risers.

First, let's convert the total height to a consistent unit. The distance between two floors is given as 9'0 1/2". We can convert this to inches by multiplying the feet by 12 and adding the remaining inches:

9 feet = 9 * 12 = 108 inches

0 1/2 inch = 0.5 inch

Total height = 108 + 0.5 = 108.5 inches

Next, we divide the total height by the number of risers (14) to find the height of each riser:

Height of each riser = Total height / Number of risers

Height of each riser = 108.5 inches / 14

Using a calculator, we can compute:

Height of each riser ≈ 7.75 inches

Therefore, the height of each riser in the set of stairs would be approximately 7.75 inches.

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Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

3x>12 2x/3 ≤ 6

3x>12, x =    4      2x/3, x =   2   ≤  6

The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Answer:

-0.50, -0.10, 0.60, 0.68, 0.98

Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation:

The difference in speed of the two cars is 72-60 = 12 km per hour.

The time they would be 8 km apart would be 8/12 = 2/3 of an hour

1 hour = 60 minutes

60 minutes x 2/3 = 40 minutes.

The cars will be 8 km apart in 40 minutes.

Answer:

After 40 min they will be 8km apart

Step-by-step explanation:

Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min

Answer:

26^9

Step-by-step explanation:

Answer:

Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.

Step-by-step explanation:

Margin of error of a confidence interval:

The equation for the margin of error of a confidence interval has the following format:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which z is related to the confidence level, \(\sigma\) is the standard deviation of the population and n is the size of the sample.

From this, we can infer that a larger size leads to a greater precision of the interval, that is, a lesser margin of error.

In this question:

The sample from the first group survey has 49 data values, and from the second group has 81.

Due to the larger sample size, the confidence interval of the second group will have greater precision for estimating the population mean.

Answer:

The 9th term will be -24

Step-by-step explanation:

The 9th term will be equal to

\(b_{n}\) = - 8 - 2(n - 1)

\(b_{9}\) = - 8 - 2(9 - 1)

\(b_{9}\) = - 8 - 18 + 2

\(b_{9}\) = - 24

In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.

Accounting Cycles:

1. June 1:

  - A.B.C company invests $20,000 in the business.

  - Prepare the journal entry:

    - Debit: Cash ($20,000)

    - Credit: Capital ($20,000)

2. June 3:

  - Purchased equipment for $12,100.

  - Prepare the journal entry:

    - Debit: Equipment ($12,100)

    - Credit: Cash ($12,100)

3. June 4:

  - Paid $220 premium for an insurance policy.

  - Prepare the journal entry:

    - Debit: Insurance Expense ($220)

    - Credit: Cash ($220)

4. June 6:

  - Purchased office supplies on account for $140.

  - Prepare the journal entry:

    - Debit: Office Supplies ($140)

    - Credit: Accounts Payable ($140)

5. June 9:

  - Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.

  - Prepare the journal entry for the cash payment:

    - Debit: Computer ($3,600) [40% of $9,000]

    - Credit: Cash ($3,600)

  - Prepare the journal entry for the remaining amount:

    - Debit: Computer ($5,400)

    - Credit: Accounts Payable ($5,400)

6. June 10:

  - Billed student Omar $58 for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Accounts Receivable ($58)

    - Credit: Tutorial Services Revenue ($58)

7. June 14:

  - Paid for the supplies purchased on June 6th ($140).

  - Prepare the journal entry:

    - Debit: Accounts Payable ($140)

    - Credit: Cash ($140)

8. June 15:

  - The owner suggested purchasing a new building for the company for $22,000.

  - No journal entry is required at this point. It is a decision made by the owner.

9. June 25:

  - Received $85 cash from student Salim Ali for tutorial services performed.

  - Prepare the journal entry:

    - Debit: Cash ($85)

    - Credit: Accounts Receivable ($85)

10. June 30:

   - Student billed on June 10 pays the amount due ($58).

   - Prepare the journal entry:

     - Debit: Cash ($58)

     - Credit: Accounts Receivable ($58)

11. June 30:

   - A.B.C company withdraws $60 for personal use.

   - Prepare the journal entry:

     - Debit: Withdrawals ($60)

     - Credit: Cash ($60)

These transactions represent the accounting cycles for the given period.

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Angles and lines come in many distinct varieties in geometry.

Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.

There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.

You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.

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Answer:

Step-by-step explanation:

It's a decimal to start with. It has 2 decimal places.

So if you divide 11 by 100 you will get 0.11

So the fractional form of 0.11 is 11/100

Answer:

1. 10 m/s2.

2. 0.0147 kg.

3. 0.147 N.

Step-by-step explanation:

I got it right on edginity 2020

The solution of the formula for p is  p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Given that the formula as:

⇒ I = prt

where I = Interest, P = principal,

R = rate and T = time is used to calculate the amount of simple interest earned.

⇒ I = prt

After getting P on one side, you must divide rt to get the letter p by itself.

⇒ I = prt

⇒ p = I/ rt

Hence, the correct answer would be option (C)

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Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

x = 20

Step-by-step explanation:

Since the two angles are congruent.  Double the angles we know equals the total of the two angles.

2(3x + 7) =134  Distribute the 2

6x + 14 = 134  Subtract 14 from both sides

6x = 120  Divide both sides by 6

x = 20

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Answer:

the domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined

Step-by-step explanation:

Answer:

(2x+3)(x-7)

Step-by-step explanation:

2x^2+3x-14x-21

2x(x-7)+3(x-7)

The factors of the expression are (2x+3)(x-7).

Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

For the given situation,

The expression is \(2x^{2} -11x-21\)

The complete factorization of the expression is as,

⇒ \(2x^{2} -11x-21=0\)

⇒ \(2x^{2} -14x+3x-21=0\)

⇒ \(2x(x-7)+3(x-7)=0\)

⇒ \((2x+3)(x-7)=0\)

The value of x can be found as

⇒ \(2x+3 = 0\) or \(x-7 = 0\)

⇒ \(x=\frac{-3}{2}\) or \(x=7\)

Then -3/2 and 7 are the zeroes of the expression.

Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).

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x = 16

7 times 2 = 14

8 times 2 = 16

Hope that helped:)

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

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Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

52

Step-by-step explanation:

2x - 3(3/x) = 4

x = \(\frac{2-\sqrt{22} }{2}\)

Similarly, y = \(\frac{-2-\sqrt{22} }{3}\)

Answer:

y = 8/2x + 2

Step-by-step explanation:

To find the perpendicular bisector, create the equation of the original line.

y = -2/8x + 2

The perpendicular bisector is the opposite reciprocal (if it's positive, then the opposite is negative and vice versa; reciprocal is to flip the fraction)of the slope of the original line.

y = 8/2x + 2