Quadruple a number minus 17?

Answer:

3562.174

Step-by-step explanation:

happy thanksgiving

The confidence limits for the proportion of consumers motivated by advertising in the population, given a confidence level equal to 0.95. is; CI = (0.47, 0.77)

We are given;

Sample Size; n = 60

sample proportion; p' = 65% = 0.65

Confidence level = 0.95

Now, formula for confidence interval of proportion is;

CI = p' ± z√(p(1 - p)/n)

At CL of 95%, z = 1.96Thus;

CI = 0.65 ± 1.96√(0.65(1 - 0.65)/60)

CI = 0.65 ± 1.96√0.00379167

CI = 0.65 ± 0.12

CI = (0.65 - 0.12), (0.65 + 0.12)

CI = (0.47, 0.77)

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Step-by-step explanation:

The height of the water in the can is a function of time, because it depends on the time the water flows out each minute.

The height h in cm is a function f of time t in minutes since poking the hole, h= f(t)h=f(t). The expression for f(t) = 20. \frac{2}{3}^{t}f(t)=20.

3

2

t

The values of f -> f(0) = 20f(0)=20; f(1) = \frac{40}{3}f(1)=

3

40

; f(2) = \frac{80}{9}f(2)=

9

80

; f(3) = \frac{160}{27}f(3)=

27

160

The value of f(5) = \frac{640}{243}f(5)=

243

640

The level of water approaches close to the x-axis as time moves on. It does not completely approach zero.

Sorry if wrong answer

a. The height of the water in the can is a function of time because it changes as time progresses.

b. The exponential function for f(t) is  \(f(t) = 20(1/3)^t\).

c. f(0) = 20, f(1) = 6.67, f(2) = 2.22, and f(3) = 0.74.

d.  f(4) represents the height of the water in the can 4 minutes after the beginning of the experiment.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

a. The height of the water in the can is a function of time because it changes as time progresses.

As water drains out of the can through the tube, the height of the water in the can decreases over time.

b. Using the formula for exponential functions, \(f(t) = ab^t\), where a is the initial height of the water, b is the factor by which the height decreases each minute, and t is the time in minutes since the beginning of the experiment.

Here, the initial height of the water in the can is 20 cm, and it decreases by a factor of 1/3 each minute.

This means that b is 1/3, and a is 20.

Therefore, the expression for f(t) is:

\(f(t) = 20(1/3)^t\)

c. To find the values of f(t) when t is 0, 1, 2, and 3, we substitute these values into the expression for f(t):

f(0) = 20 (1/3)⁰ = 20

f(1) = 20(1/3)¹ = 6.67

f(2) = 20(1/3)² = 2.22

f(3) = 20(1/3)³ = 0.74

So, when t is 0, the height of the water in the can is 20 cm, and it decreases exponentially by a factor of 1/3 each minute.

d. To find f(4), we substitute 4 into the expression for f(t):

f(4) = 20(1/3)⁴ = 0.25

Here, f(4) represents the height of the water in the can 4 minutes after the beginning of the experiment.

At this time, the height of the water in the can have decreased to 0.25 cm, which is almost completely drained.

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Answer:

5) tan A = 0.42

6) Acute angle is less than 90°

7) Right angle is exactly 90°

8) Obtuse angle is greater than 90° but less than 180°

9) Straight angle is exactly 180°

10) Complementary angles add up to 90°

11) Supplementary angles add up to 180°

Step-by-step explanation:

tan A = opposite / adjacent

= 5/12

= 0.42

Answer:

1)B 4 x 4 x 4 x 4

2)B 8292

Step-by-step explanation:

Step-by-step explanation:

1 2/5 - (-3/5)

1 2/5 + 3/5

7/5 + 3/5

10/5

Answer:

1 . There will be enough cup of punch to serve all 14 guest

2. There will be 2 cups of punch left.

Step-by-step explanation:

Mr  Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.

This combination makes up the punch.  We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .

1 gallon of  orange juice = 16 cups of orange juice

1 pint = 2 cups

3 pints of pineapple =  6 cups

1 quarts = 4 cups

2 quarts of lemon-lime soda = 8 cups

When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30  cups of punch.

The guest will consume a total of 14 × 2 = 28 cups of punch. There will  be 30 - 28 = 2 cups of punch left.

The line of symmetry for the above figure is attached accordingly.

In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry.

That is, a figure with reflectional symmetry does not alter when it is reflected. A line/axis of symmetry exists in 2D, while a plane of symmetry exists in 3D.

After inserting the symmetry lines, the above resulted in a kite.

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Therefore ,Based on this sample, of 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

An estimation range for an unknowable parameter is referred to as a confidence interval in frequentist statistics. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals.

Here,

Given: random sample of 100 boxes of each brand

The difference of the means,μhn−μsy had a 90% confidence interval that was calculated as follows: (1.1,2.4).

Therefore,

Based on this sample, we are 90% confidence interval that Hot'n Now doughnuts will remain fresher for an additional 1.1 to 2.4 days than Sugar Yum doughnuts.

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Answer:

63/50 meters^2 or in mixed number: 1 13/50 meters^2

Step-by-step explanation:

Area= length * width

length = 4 1/5= 21/5 . Multiply the whole number with the denominator. 4*5= 20 . Add 20 with the numerator. 20+1=22

width= 3/10

21/5* 3/10 ( Multiply the denominators together). ( Multiply the numerators together).

21*3 / 5*10

The solution is Option A.

The area of rectangular garden is A = 1 13/50 meters

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular garden be A

Now , the equation will be

The length of the rectangle = 4 1/5 meters

The length of the rectangle = 21/5 meters

The width of the rectangle = 3/10 meters

So , Area of Rectangle = Length x Width

The area of the rectangular garden A = ( 21/5 ) x ( 3/10 )

On simplifying the equation , we get

The area of the rectangular garden A = 63/50

The area of the rectangular garden A = 1 13/50 meters

Hence , the area of the rectangular garden is 1 13/50 meters

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9514 1404 393

Answer:

  4 values

Step-by-step explanation:

Draw a horizontal line at y = -4. Count how many places it crosses the graph.

There are 4 values of x where f(x) = -4.

Answer:

a) -0.7854

b) 2.36

Step-by-step explanation:

Here, we want to find the value of the angles in radians

We proceed as follows;

a) arcsin( - √2/2)

= -0.7854

b) arccos(-√(2)/2

= 2.36

Answer:

50 = p + 42

Step-by-step explanation:

The unknown part of this equation is the variable p, the number of people that left. So you want to add p to 42 and that will give you the total number of football players, which is 50. In order to get p, you need to get it by itself and make it equal something. Subtract 42 from both sides and you are stuck with 50-42 = p

p = 8

Answer:

50-p=42

Step-by-step explanation:

The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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Answer: answer questions

Step-by-step explanation:

Answer:

tyyyy hope you have a good holiday !!!!!!!

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Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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I could offer a credit of $66.6.

A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.

The given bill of customer =  $333.0.

Credit can be given to customer = 20%

Now,I can credit a customers account up to 20% of full amount due

For credit off to be offer,we need to find 20% of $333

⇒  20% of $333 =  20/100*333

⇒  20% of $333 =  $66.6

Hence, I could offer a credit of $66.6

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To calculate the exact minimum taxable income, we need the missing information regarding the standby charge and the stock options exercise.

To calculate Tanja's 2022 minimum taxable income, we need to consider her various income sources and deductions. Let's break it down:

Salary: $93,500

Year-end bonus: $12,000

Defined benefit RPP contributions: Tanja's and her employer's contributions are not taxable income.

Employment Insurance (EI) contributions withheld: $953

Canada Pension Plan (CPP) contributions withheld: $3,500

Tuition fee for Chinese course paid by employer: $3,600 (not taxable)

Disability insurance benefits: $6,500 (taxable as it is a replacement for employment income)

Employer-provided automobile: We need to calculate the standby charge and operating cost benefit.

Standby charge: The standby charge is calculated based on the original cost of the car and the number of personal use kilometers. Since the car was left in the employer's garage for one month, the standby charge is reduced. We need additional information to calculate this.

Operating cost benefit: $7,240 (taxable as it is a personal use benefit)

Financial counseling services provided by the employer: $450 (not taxable)

Value of the Las Vegas trip: $5,620 (taxable as a non-cash prize)

Stock options exercise: We need additional information to calculate the taxable benefit.

To calculate the exact minimum taxable income, we need the missing information regarding the standby charge and the stock options exercise. Once we have those details, we can calculate Tanja's 2022 minimum taxable income by adding up the taxable components mentioned above and subtracting any applicable deductions or credits.

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To determine the better deal, we have to calculate the price per oz on each package, for that we have to divide the weight of the package by its cost. This is done below:

Answer:

y=-3/4x+15

Step-by-step explanation:

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

m=(9-12)/(8-4)

m=-3/4

y-y1=m(x-x1)

y-12=-3/4(x-4)

y=-3/4x+12/4+12

y=-3/4x+3+12

y=-3/4x+15

Answer:

where is the thing that we have to do written on here?

Answer:

x>-2

Step-by-step explanation:

first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2

Answer:

11n - 12

Step-by-step explanation:

The answers for the March 22 Recording Check

1. Solve the following one-step equation.

x+5=−7

x = -12 This is the correct answer

x = 2

2.  An expression does NOT have an equal sign

    The answer would be True

Answer:

The events are  independent.Their conditional probability is equal to the  probability of an event .

2) The probability that there is line spoilage given that there is transformer spoilage=0.08

- Transformer spoilage but not line spoilage=0.046

Transformer spoilage given that there is no line spoilage = 0.05

- Neither transformer spoilage nor there is no line spoilage =0.03

v- Either transformer spoilage or there is no line spoilage  = 0.97

Step-by-step explanation:

Let A be an event that the spoilage is due to transformers so

P(A) = 5% = 5/100 or 0.05

Let B be an event that the spoilage is due to line so

P(B) = 8% = 8/100 or 0.08

Let C be an event that the spoilage is due to both then

P(C) = 3% = 3/100 or 0.03

1)  Independence

For events to be independent their joint probability is given by

P(A) = P(A∩B)/ P (B)  By Law of independence

P(A∩B)= P(A/B)P(B)

P(A∩B) = 5/100 *8/100=40/10000= 4/1000

P(A) = 5/100  

P(A/B) =P(A∩B)/ P (B)

= 4/1000/8/100= 1/20  

P(A)= P(A/B)

5/100 is equal to  1/20

The events are independent.Their conditional probability is equal to the probability of an event

2) The probability that there is line spoilage given that there is transformer spoilage

P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08

Which is again equal to probability of event B.

- Transformer spoilage but not line spoilage

P(A∩1-B)= 5/100*92/100= 460/10000=0.046

Transformer spoilage given that there is no line spoilage

P(A/1-B) =P(A∩1-B)/ P (1-B)

= 5/100*92/100/92/100= 5/100 = 0.05

- Neither transformer spoilage nor there is no line spoilage

1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03

v- Either transformer spoilage or there is no line spoilage  

P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97

Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have

f'(x) = 2ax + b

and

f''(x) = 2a

Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.

(i) f is concave up when f'' > 0, which occurs when a > 0.

(ii) f is concave down when f'' < 0, and this is the case if a < 0.

In Mathematica, define f by entering

f[x_] := a*x^2 + b*x + c

Then solve for intervals over which the second derivative is positive or negative, respectively, using

Reduce[f''[x] > 0, x]

Reduce[f''[x] < 0, x]

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

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