What is the area of a rectangular rug that
measures 8 1/4 feet by 10 3/4 feet?
Area:

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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After 30 years of 8.8% interest compounded monthly, an account has $4,000,000,he original deposit amount was $288,208.04

Compound Interest :

                          Compound interest is a form of interest calculated using the principal amount of a deposit  plus previously accrued interest.

  general formula for compound interest is

                             A = P (1 + r/n) ^ nt

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

According to question,

Given final amount is (A) =  $4,000,000

time (t) = 30 years

Rate of interest (r) = 8.8%

                                = 8.8/100

                                = 0.088  , Compounded monthly

Let P be the principal amount

    using the formula for compound interest compounded monthly,

         A = P (1 + r/12)^12*t

or,

         P = A/(1 + r/12)^12*t

             Substituting all values we get,

            P =   $4,000,000/ (1 + 0.088/12)^12 x 30

                = $4,000,000/13.8788

                = $288,209.35

                ≈ $288,208.04

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Answer:

10(3^(5-n))

Step-by-step explanation:

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

\(=> 5x - 4 = 13(x - 4)\)

Now , solve the equation.

\(=> 5x - 4 = 13x - 52\)

\(=> 13x - 5x = 52 - 4\)

\(=> 8x = 48\)

\(=> \frac{8x}{8} = \frac{48}{8}\)

\(=> x = 6\)

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

Answer:

10.7...........................................

Step-by-step explanation:

Can you give me an example? There are multiple ways to solve this open-ended question.

The correct option C; 4x + y = 21 is the equation combines with the x + 2y = 21 equation to form a system of equations with the solution x = 3 and y = 9.

x + 2y = 21    eq .....(i)

The solutions are x = 3 and y = 9.

Put the values of x and y in equation (i),

3 + 2 × 9 = 21

3 + 18 = 21

21 = 21

Now, evaluate every option by substituting the values.

A. 4x + 6y = 64

Put the values of x and y in equation,

4 × 3 + 6 × 9 ≠ 64

48 ≠ 64

In correct option.

B. 2x + y = 36

Put the values of x and y in equation,

2 × 3 + 9 ≠ 36

15 ≠ 36

Incorrect option

C. 4x + y = 21

Put the values of x and y in  equation,

4 × 3 + 9 = 21

12 + 9 = 21

21 = 21

Correct option.

Thus, equation combines with the x + 2y = 21 equation to form a system of equations with the solution x = 3 and y = 9 is  4x + y = 21.

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The slope between two points A and B is given by the formula:

Replace the coordinates of the given points (1,1) and (-4,-3) to find the slope between those two points:

Plot the points (1,1) and (-4,-3). Then, draw the line through them:

Notice that the line goes up by 4 units for each 5 units that it goes to the right. This confirms that the slope is 4/5.

Therefore, the value of the slope of the line that passes through the points (1,1) and (-4,-3) is 4/5.

Answer:

Step-by-step explanation:

Step one:

given data

charged = $40 call fee

additional charges= $15 per mile

let the number of miles be m

and let the total charges be c

Required, the linear function which represents the total charges

Step two:

the equation for the charges in slope-intercept form is

c=15m+40

Answer:

6 = 4

Step-by-step explanation:

<3

FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

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Answer:

1)3 2)86

Step-by-step explanation:

3h+77=SA AND 92-2h=MB

3h+77=92-2h

-77. = -77

3h= 15-2h

+2h=+2h

5h=15

H=3

Answer:

the answer for x<5

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4<−4x+16

Step 2: Flip the equation.

−4x+16>−4

Step 3: Subtract 16 from both sides.

−4x+16−16>−4−16

−4x>−20

Step 4: Divide both sides by -4.

−4x

−4

>

−20

−4

x<5

Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by

(f(x,y,z)) = grad(f(x,y,z)).v

where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.

∴ grad(f(x,y,z)) = (fx, fy, fz)

                       = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy

                = ∂f/∂y

                = xz and

fz = ∂f/∂z = yx + g′(x,z)

We need to evaluate the gradient at the point (3,0,3), then

we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)

                             = 3(0) = 0fz(3,0,3)

                             = 0 + g′(3,3)

                             = g′(3,3)

Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)

                                                 = grad(f(x,y,z))(3,0,3)⋅v

where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0)   = 0

The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

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Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

In a hypothesis test, the probability of obtaining a value of the test statistic equal to or more extreme than the value observed, given the null hypothesis is true, is referred to as the p-value.

What is a hypothesis Testa hypothesis test is a statistical analysis technique that is used to determine if there is enough evidence to reject or accept a null hypothesis. It is a statistical test that compares two datasets to determine if they are significantly different from each other or not. The p-value is used to determine the significance of the test result.The p-value is defined as the probability of obtaining a result as extreme as or more extreme than the observed data if the null hypothesis is true.

A p-value of less than 0.05 is considered statistically significant, which indicates that there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. In contrast, if the p-value is greater than 0.05, there is not enough evidence to reject the null hypothesis.

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Answer:

8.318

Step-by-step explanation:

writing a number in three decimal places means writing the number in a way that there will be three digits in the number after the decimal point.

to three decimal places= 8.318

Answer:

3(3x+2)

Step-by-step explanation:

Answer:

either 885 more or 450 more

Step-by-step explanation:

Monday: 1000

Tuesday: 1000*1.3 = 1300

Wednesday:

I'm assuming 45% more from tuesday?

          1300*1.45 = 1885

or if not:

          1000*1.45 = 1450

either 885 more or 450 more

you can also just do 1000*1.3*1.45 = 1000*1.885 = 1885 if thats what the question means

On solving the provided question, we can say that the, probability P( 24 period hour) = 5/24

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

here,

E1 = stops at 5 clock

E2 = start at 24 hours

P( 24 period hour) = 5/24

the, probability P( 24 period hour) = 5/24

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Answer

1

=

m

<

1

=

Step-by-step explanation:

hire 6 men and time then with a stopwatch and then you have your answer

Answer:

x=1/4

Step-by-step explanation:

Answer:

0.82

Step-by-step explanation:

82/100 as a fraction is equal to 0.82

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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Answer:

50 out of 100 or 50%

Step-by-step explanation:

the data represents between quartile 3 and quartile 1 (known as the Inter-Quartile Range, IQR) is, theoretically, supposed to represent 50% of all data items