FASTTTTT
FIND THE AREA OF THE SHADED REGION​

Answer:

Step-by-step explanation:

first one : 67/100 = .67 per sq feet

Second one: 130/200 = .65 per sq feet

Third one 240/400 = .6 per sq feet

Fourth one: 504/800 .63 per sq feet

so C is the best deal (C.

400 square feet of carpet for $240)

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

Learn more about confidence interval

brainly.com/question/24131141

#SPJ11

Answer:

34 dollars and 6 cents

Step-by-step explanation:

1 percent = 0.26

0.26 x 31 = 8.06

26 + 8.06 = 34 dollars and 6 cents

I believe it is 34.06

The lessons we get from book that discuss applied regression analysis and other multivariable is that it can be used in real-life problems such as prediction and forecasting.

As a very effective and practical statistical technique, regression analysis has numerous applications to the field of nursing science. It allows scientists to explain, forecast, and quantify the correlations between variables, and form credible conclusions about the underlying causes of any phenomenon under study.

Regression analysis is a reliable way for determining which variables have an impact on a particular topic of interest. The method of doing a regression allows you to safely establish which elements are most important, which factors may be ignored, and how these factors influence each other.

To learn more about regression analysis, click here:

https://brainly.com/question/28178214

#SPJ4

The range of the data for Shona and Miguel will be 35 and 30, while the median of the data will be 40 and 42.5.

A boxplot is a visual representation of a data set's dispersion and centers.

The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.

The data set of the Miguel is;

25,30,35,40,45,50,55

The median of the data is;

\(\rm Median =( \frac{n+1}{2}) ^{th} term \\\\ Median =( \frac{7+1}{2} )^{th} term \\\\ Median = 4 ^{th} term \\\\ Median = 40\)

Shona's data is;

25,30,35,40,45,50,55,60

The median of Miguel's data is;

\(\rm Median_{shona} = \rm \frac{40+45}{2} \\\\ Median_{shona} =42.5\)

The range of Miguel's data is;

⇒ 55-25

⇒ 30

The range of Shona's data is;

⇒60-25

⇒35

Hence, the median of the data for Shona and Miguel will be 40 and 42.5 and the range of the data for Shona and Miguel will be 35 and 30.

To learn more about the box plot, refer to https://brainly.com/question/1523909.

#SPJ1

Answer:true

Step-by-step explanation:

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

To learn more about interest click here: brainly.com/question/30393144

#SPJ11

===========================================================

Explanation:

Using a calculator,

We see that 12/30 = 0.4 is the odd one out.

The Equivalent Fraction are:

30/70, 9/21 and 6/14.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

To find the equivalent fraction we need to simplify the fraction.

First. 30/70

= 3/7

second, 12/30

= 6/15

= 3/5

third, 9/21

= 3 / 7

fourth, 6/14

= 3 /7

Learn more about Equivalent Fraction here:

https://brainly.com/question/29766013

#SPJ2

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

Learn more about Percentage here

https://brainly.com/question/24877689

#SPJ11

Answer:

the surface area would be 353 in for the pyramid

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

Answer:

Step-by-step explanation:

This sequence can be interpreted as an arithmetic sequence, which has a general equation in the following format:

In which a1 is the first term and d is the common ratio(the difference between the consecutive terms.

In this sequence:

The first term is -3.

The common ratio is ... = 9 - 5 = 5 - 1 = ... = 4

So the equation for the sequence is:

The hourly rate of the electrician is 65 $.

The trip fee paid by the owner = $55

Total earned in trip fee for first three jobs = number of jobs * trip fee = 55 * 3 = 165$

Total amount received by electrician = 480$

Let the electrician's hourly rate = x

For the fourth job, the electrician charged the trip fee plus four times his hourly rate as

= 55 + 4 * x

The electrician's hourly rate can now be calculated as Sum of the first three jobs paid and fourth job paid = Total amount he received.

165 + 55 + 4x = 480

220 + 4x = 480

4x = 480 -220

4x = 260

x = 260 / 4

x = 65 $

Therefore, The electrician's hourly rate is $65 per hour.

Learn more about rate here

https://brainly.com/question/1580997

#SPJ9

If 180 liters of fluid enter the kidneys each day, about 178 liters of fluid will be reabsorbed by the kidneys each day.

The kidneys play a crucial role in filtering and regulating fluid balance in the body. On average, approximately 180 liters of fluid enter the kidneys each day through the process of filtration. However, not all of this fluid is excreted as urine. The majority of it, around 99%, is reabsorbed back into the bloodstream.

The reabsorption process occurs in the renal tubules, where essential substances such as water, electrolytes, and nutrients are selectively transported back into the bloodstream while waste products and excess substances are removed for eventual excretion.

Therefore, out of the initial 180 liters that enter the kidneys, around 178 liters are reabsorbed, leaving only a small amount (approximately 2 liters) to be excreted as urine.

To learn more about reabsorption click here, brainly.com/question/32164401

#SPJ11

(a) The mean of (2) will be greater than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(b) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the minimum of (2) is smaller but negative than the minimum of (1) which is also negative.

(c) The mean of (2) will be more than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(d) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have smaller variation as compared to the distribution of (1) because the range of (1) is greater than the range of (2)

The mean is a measure of the central trend of a probability distribution along the median and the mode.

a distribution is the set of all possible values for terms representing defined events.

To learn more about mean and distribution, visit:

https://brainly.com/question/17002881

#SPJ4

The missing angle in the triangle is as follows:

m∠ABC = 54 degrees

When lines segment intersect, angle relationships are formed such as vertically opposite angles,  adjacent angles etc.

Therefore, let's find m∠ABC.

Hence,

9x - 9 + 3x + 9 = 180 (sum of angles on a straight line)

12x  = 180

divide both sides of the equation by 12

x = 180 / 12

x = 15

Therefore,

m∠ABC = 3x + 9(Vertically opposite angles)

m∠ABC = 3(15) + 9

m∠ABC = 45 + 9

m∠ABC = 54 degrees

learn more on angles here: https://brainly.com/question/25950519

#SPJ1

a) A and B are independent events.

b) The outcome of each game is independent of the other games so, Rachel's loss = p.

c) The probability of all marbles being red is 4

a) Given that a first marble is red and the second marble is also red, such that

P(1) = P(2) = 0.2, P(3) = P(5) = P(6) = 0.1 and P(4) = 0.3 and die is thrown two times. Also given that:

A1 = red

B1 = red.

So, P(A) = [P(1, 1) + P(2, 2) + P(3, 3) + P(4, 4) + P(5, 5) + P(6, 6)]

= P(1).P(1) + P(2).P(2) + P(3).P(3) + P(4).P(4) + P(5).P(5) + P(6).P(6)

= 0.2 x 0.2 + 0.2 x 0.2 + 0.1 x 0.1 + 0.3 x 0.3 + 0.1 x 0.1 + 0.1 x 0.1

= 0.04 + 0.04 + 0.01 + 0.09 + 0.01 + 0.01 = 0.20

Now, B = [(4, 6), (6, 4), (5, 5), (5, 6), (6, 5), (6, 6)]

P(B) = [P(4).P(6) + P(6).P(4) + P(5).P(5) + P(5).P(6) + P(6).P(5) + P(6).P(6)]

= 0.3 x 0.1 + 0.1 x 0.3 + 0.1 x 0.1 + 0.1 x 0.1 + 0.1 x 0.1 + 0.1 x 0.1

= 0.03 + 0.03 + 0.01 + 0.01 + 0.01 + 0.01 = 0.10

A and B both events will be independent if

P(A ⋂ B) = P(A).P(B) …. (i)

And, here (A ⋂ B) = {(5, 5), (6, 6)}

So, P(A ⋂ B) = P(5, 5) + P(6, 6) = P(5).P(5) + P(6).P(6)

= 0.1 x 0.1 + 0.1 x 0.1 = 0.02

From equation (i) we get,

0.02 = 0.20 x 0.10

0.02 = 0.02

Therefore, we can say that A and B are independent events.

b) We know that the outcome of each game is independent of the other games. Rachel's loss = p. As per the given information, the games in the series are unrelated, indicating the application of the probability multiplication principle.

c) The probability of all marbles being red is 4

Let a be the probability that the first player (ultimately) wins if the two players are tied in wins. Let b be the probability that she wins if she is 1 ahead. And let c be the probability she wins if she is 1 behind. We have the equations

a = rb + 1 - r x c

b = r + 1 - r x a

c = r x a

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ4

Answer:

n = 144

Step-by-step explanation:

          6 / n = 5/120

         6 * 120 = 5*n

               5n = 6*120

               5n = 720

                 n = 720/5

                 n = 144

Answer:

144

Step-by-step explanation:

you should use a proportion to do this to make it easier to solve.

\(\frac{6}{n} = \frac{5}{120}\)

cross multiply the numbers

\(5n = 6*120\)

\(5n = 720\)

then divide  720 by 5

\(n = 144\)

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

Answer:

B) t = 14

Step-by-step explanation:

1. Converting 8-bit binary expansion to a decimal expansion: The binary number 1100 0110 can be broken down into 2 binary numbers: 1100 and 0110. Then, each of these binary numbers can be converted to decimal separately, and combined to get the decimal expansion. 1100 = 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 0 × 2^0 = 12, 0110 = 0 × 2^3 + 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 6.

Therefore, 1100 0110 in binary is equal to 12 + 6 = 18 in decimal. 2. Converting decimal expansion to 8-bit binary expansion: We can use the division-by-2 method to convert decimal to binary. Dividing 109 by 2, we get: 109 ÷ 2 = 54 remainder 1 Then, we divide 54 by 2: 54 ÷ 2 = 27 remainder 0 Continuing with this process, we get the binary number as follows: 109 = 0110 1101.

We need to add 3 leading zeros to make it 8-bit binary number: 0001 1011 Therefore, 109 in decimal is equal to 0001 1011 in 8-bit binary.3. Converting hexadecimal expansion to octal expansion: To convert hexadecimal to octal, we need to convert hexadecimal to binary first, and then binary to octal.

To know more about expansion visit:

https://brainly.com/question/15572792

#SPJ11

No, an and bn are not linear operators if anƒ(x) = ƒ(x2)2 and bnƒ(x) = dƒ(x)/dx.

A linear operator satisfies the condition that anƒ1(x2) + g1(x2) = anƒ1(x2) + ang1(x2). This means that the operator distributes over addition and multiplication by a scalar.

In the case of anƒ(x) = ƒ(x2)2, the operator is not distributing over addition or multiplication by a scalar. Instead, it is applying a function to the input function.

Similarly, in the case of bnƒ(x) = dƒ(x)/dx, the operator is taking the derivative of the input function, which is not a linear operation.

Therefore, an and bn are not linear operators.

To know more about input function click on below link:

https://brainly.com/question/13262026#

#SPJ11

Answer:

23

Step-by-step explanation:

sin (55)/a =  sin(20)/10

Answer: Your answer is 25

Step-by-step explanation:

To start off, add 16 positive to -116 negative. That gives us a baseline of -100

Now since we did -4 times a number to get to it, the opposite of multiplying is dividing.

A quarter is 25. 4 quarters makes a dollar, or 100 cents. 4 times 25 is 100 so -4 times 25 is -100. Add 16 to your number to get a result of 25! Since you already subtracted 16 we can forget about adding it back. 100/4 = 25

To check our work, -116+10= -100

4 times 25 is 100

-4 times 25 is -100

-100=-100

Answer:

Step-by-step explanation:

-5a^2+ 5a factors as follows:  -5(a - 1) (so -5 goes into the blank space).

 18x^2 + 2x³ factors as follows:  2x^2(x + 9) (so 2x^2 goes into the blank    space)

Using a unitary method, we have identified that the smaller pot has more water.

To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.

Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.

As we can see, the smaller pot has more water than the larger pot.

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

Answer:

1.75+0.75x=4

Step-by-step explanation:

$1.75 is the set price, and you add $0.75 for every topping.

Answer:

a. G = 4590.0

b. G = 4550.0

Step-by-step explanation:

Given that: G = \(\sqrt{\frac{m}{t^{2} } }\)

a. m = 6.1 x \(10^{-5}\) and t = 1.7 x \(10^{-6}\)

Thus,

G = \(\sqrt{\frac{6.1*10^{-5} }{(1.7*10^{-6}) ^{2} } }\)

   =  \(\sqrt{\frac{6.1*10^{-5}}{2.89*10^{-12} } }\)

   = \(\sqrt{21107266.44}\)

G = 4594.26452

G = 4590.0

b. m =  6.1 x \(10^{-5}\) + ( 6.1 x \(10^{-5}\) x 0.08)

       = 6.588 x \(10^{-5}\)

   t = 1.7 x \(10^{-6}\) + (1.7 x \(10^{-6}\) x 0.05)

     = 1.785 x \(10^{-6}\)

So that,

G = \(\sqrt{\frac{6.588*10^{-5} }{(1.785*10^{-6}) ^{2} } }\)

   = \(\sqrt{\frac{6.588*10^{-5} }{3.186*10^{-12} } }\)

   = \(\sqrt{20676505.9}\)

G  = 4547.1426

G = 4550.0

The drone's battery will last 16 minutes minutes if no weight is added. The battery life will decrease by 0.0333 of weight added.

Given data ,

Let the first point be A ( 0 , 16 )

Let the second point be B ( 60 , 14 )

Now , the slope of the line is

m = ( 16 - 14 ) / ( 0 - 60 )

m = - 2 / 60

m = - 0.0333

The y-intercept of the line is when x = 0

So , when x = 0 , y = 16

Now , The drone's battery will last 16 minutes if no weight is added.

Hence , the equation of line is solved

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1