pls help me asap!!! ​

Answer:

The probability that can afford to spend between $800 and $900

P(800≤X≤900) = 0.6826

The percentage of that can afford to spend between $800 and $900

P(800≤X≤900) = 68 percentage

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = $850

Given that the standard deviation of the Normal distribution =  $50

Let 'X' be a random variable in a normal distribution

Let x₁ = 800

\(z_{1} = \frac{x_{1}-mean }{S.D} = \frac{800-850}{50} = -1\)

Let x₂ =850

\(z_{2} = \frac{x_{2}-mean }{S.D} = \frac{900-850}{50} = 1\)

Step(ii):-

The probability that can afford to spend between $800 and $900

P(800≤X≤900) = P(-1≤Z≤1)

                         = P(Z≤1) - P(Z≤-1)

                        = 0.5 + A(1) - (0.5 - A(-1))

                        = A(1) +A(-1)

                       = 2× A(1)       (∵ A(-1) =A(1)

                      = 2 × 0.3413

                      = 0.6826

The percentage of that can afford to spend between $800 and $900

P(800≤X≤900) = 68 percentage

We need to calculate the definite integral of the traffic flow rate function r(t) = 400+800t - 150t² over the interval [0, 5], where t represents hours. Between 6 am and 11 am, a total of 26,250 cars pass through the intersection.

To find the number of cars that pass through the intersection between 6 am and 11 am, we need to calculate the definite integral of the traffic flow rate function r(t) = 400+800t - 150t² over the interval [0, 5], where t represents hours.

Integrating r(t) with respect to t, we get:

∫(400+800t - 150t²) dt = 400t + 400t²/2 - 150t³/3 + C

Evaluating the integral over the interval [0, 5], we have:

[400t + 400t²/2 - 150t³/3] from 0 to 5

Substituting the upper and lower limits into the expression, we get:

[400(5) + 400(5)²/2 - 150(5)³/3] - [400(0) + 400(0)²/2 - 150(0)³/3]

Simplifying the expression, we find:

(2000 + 5000 - 12500/3) - (0 + 0 - 0) = 26,250

Therefore, between 6 am and 11 am, a total of 26,250 cars pass through the intersection.


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The answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Divide 4 5/6 and -2 1/7

4 5/6 = 35/6

-2 1/7 = -15/7

= (35/6)/(-15/7)

= (35/6)(-7/15)

= -245/90

= -49/18

= -2 13/18

Thus, the answer would be -49/18 after dividing 4 5/6 and -2 1/7, or in mixed fraction -2 13/18.

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The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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Answer:

AD

Step-by-step explanation:

It is the only segment that meets a side of triangle ABC at a right angle.

Answer:

888.467.789.985.872

Step-by-step explanation:

Josue used 150 square centimeters of wrapping paper to cover the cube-shaped gift box

To determine the amount of wrapping paper used by Josue for the cube-shaped gift box, we need to calculate the surface area of the cube.

The net of the gift box consists of six squares, each representing a face of the cube. The dimensions provided in the figure show that each side of the squares is 5 cm.

Since a cube has six faces, we need to calculate the total surface area by multiplying the area of one square face by six.

The formula to find the area of a square is side length squared, so we can calculate the area of one square face as 5 cm * 5 cm = 25 cm².

Now, to find the total surface area, we multiply the area of one face by six: 25 cm² * 6 = 150 cm².

Therefore, Josue used 150 square centimeters of wrapping paper to cover the cube-shaped gift box.

It's worth noting that this calculation assumes that there is no overlap or excess wrapping paper used while wrapping the gift box. Additionally, we have assumed that the dimensions provided are accurate and refer to the side length of the squares in the net.

Overall, the amount of wrapping paper used can vary based on the wrapping technique employed and any additional decorations or folds added to the gift box.

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Answer:

See below

Step-by-step explanation:

Scale it by  -4/3   then shift it left by 3

  scale by - 4/3  is the same as flipping the function about the x-axis

      and scaling it by 4/3

The transformation is shift 2 units up

This will add 2 to each y output in the range.

The old range was \(\text{y} \ge 0\) and it updates to \(\text{y} \ge 2\)

The graph is shown below. I used GeoGebra, but Desmos is another good option.

Answer:

55km(per hour)

440km(8hours)

Step-by-step explanation:

1)330÷6=55km

1)55×8=440km

The taxi would travel 440 km in 8 hours when traveling at a speed of 55 km/hr.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance=330 km, Time taken = 6 hours

speed= Distance/Time

Thus the speed of the taxi is =330/6

                                                =55 km/hr

∴ The distance(in Km) that the taxi would travel in 8 hours is = 55×8

                                                                                                       =440 km

Hence, The taxi would travel 440 km in 8 hours when travelling at a speed of 55 km/hr.

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Answer:

Pumpkin seed has more grams of protein per ounce

216 grams of protein

Step-by-step explanation:

1 pound = 16 ounce

16 ounce of sunflower seeds = 96 grams of protein

6.5 ounce of pumpkin seeds = 58.5 grams of protein

Which type of seed has more grams of protein per ounce?

Sunflower seeds:

Protein per ounce = 96 grams / 16 ounce

= 6 grams of protein per ounce

Pumpkin seeds:

Protein per ounce = 58.5 grams / 6.5 ounce

= 9 grams of protein per ounce

Therefore,

Pumpkin seed has more grams of protein per ounce

How many more grams of protein are there in 24 ounces of the higher-protein seeds?

Quantity of protein = 24 ounces ×

9 grams of protein per ounce

= 216 grams of protein

Answer:

96

Step-by-step explanation:

\(\frac{24*64}{4*4}=96\\\)

or

\(\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96\)

The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.

Area of kitchen,

A(k) = 64 x 24 = 1536 Square inches

Area of a tile,

A(T) = 4 x 4 = 16 square inches.

Divide the area of the kitchen by the area of a tile.

N = 1536 / 16 = 96 tiles

Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

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Answer:

187*

Step-by-step explanation:

167 plus 20 is 187

hope this helps

Answer:

m∡AOC is 147 degrees

Step-by-step explanation:

m∡AOB = m∡AOC + m∡COB

Subtract m∡COB from both sides.

m∡AOB - m∡COB = m∡AOC

167° - 20° = m∡AOC

147°  =  m∡AOC

Answer:

first we do

squaer is legnth 6 so base =6

10-6=4

the rectnalge is 2 by 4

base=4

squaer is 6 by 6

rectangle is 4 by 2

split the triangles up

area of triangle=1/2base times height

rectangle triangle base=4

height=2, area=1/2 times 2 times 4=4

squaer triangle

flip 90 degrees clockwise so we have base=2

height=6

area=1/2 times 2 times 6=6

add

4+6=10

total area=10m^2

--

have good day<3

Answer:

\(A=21m^2\)

Step-by-step explanation:

ΔABC → Base=6m, height= 3m

Area= 1/2 × base ×h= 1/2 × 6×3=9m²

ΔACD → Base= 3m , height=8m

Area= 1/2 ×3×8 =12m²

total area= 9 + 12= 21

-------------------------------

hope it helps...

have a great day!!

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

\(\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}\)

Simplify:

\(\bar x=\frac{9}{12}\)

Reduce:

\(\bar x=3/4\)

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

Answer:

Step-by-step explanation:

D=90°

E=147°

F= 33°

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584                     Divide by 0.0404)

x(0.0404) = 1584/0.0404        

answer:x = 39204

We have to calculate how many T-shirts the hay to sell in order to raise $720, including the $60 dollars they already saved.

They earn $12 for every T-shirt, so the amount of money raised is 12x, being x the number of T-shirts.

Then, 12x has to be at least equal to 720-60=660:

Then, if we divide both sides by 12, we get the number of T-shirts they have to sell:

They have to sell at least 55 T-shirts.

Answer:

Car's force is much greater so the last one

Step-by-step explanation:

Answer: The correct answer is the third one.

Step-by-step explanation: because I already did it and it was correct

(a) Let A = (2,0, -1), B= (0,4,-1) and C= (1,2,0) be points in R³

.(i) General form of the equation for the plane P containing A, B, and CWe have points A, B, and C.

The vectors AB = B  A and AC = C  A are contained in the plane P. Now the normal vector N to the plane P is given by the cross product AB × AC of these two vectors which is,

N = AB × AC= (−8i + 2j + 8k) − (2i + 8j + 2k) + (8i − 8j)

= −6i − 6j + 6k

Therefore, the general equation of the plane P containing A, B, and C is:−6x − 6y + 6z + d = 0

Where (x, y, z) is any point on the plane, and d is a constant.

To determine the value of d, we substitute the coordinates of A:−6(2) − 6(0) + 6(−1) + d = 0

So d = 12 and therefore the equation of the plane is:-6x − 6y + 6z + 12 = 0

(ii) Parametric equations of the line passing through A and parallel to the line BC The line that passes through A and parallel to BC can be parameterized by:A + t BC Where t is a parameter.

The vector BC is given by,BC = C − B

= (1i − 2j + 1k) − (0i + 4j + 1k)

= i − 6j

So the equation of the line passing through A and parallel to BC is given by:

x = 2 + t,

y = −6t,

z = −1 + t

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Therefore, Nolan has 8 dollars left to spend on gift C.

Nolan spent 9 dollars and 34 cents on gift A,

and 3 dollars and 12 cents on gift B,

for a total of

9 + 3 = 12 dollars and

34 + 12 = 46 cents spent so far.

Nolan started with 20 dollars, so he has 20 - 12 = 8 dollars remaining for gift C.

By using wildcards (such as "x" and "y") that are replaced with random values when the quiz is taken, simple calculated questions provide a technique to build individual numerical questions whose response is the result of a numerical formula that contains changeable numerical values.

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The value of the given integral by converting it into polar coordinates is [a⁴ / 4] (1 - (-1)) = [a⁴ / 2].Hence, the correct option is (d) [a⁴ / 2].

To evaluate the iterated integral by converting to polar coordinates,

we need to change the limits of the integral into polar coordinates.

So the given integral in polar form is ∫(from θ = 0 to θ = π/2) ∫(from r = a to r = 0)\(4r^3cos(θ)sin(θ)dr dθ.\)

The polar coordinate conversion is given by x = r cos(θ) and y = r sin(θ).Given integral ∫a0∫0−√a2−y24x2y dx dy can be expressed in the form of polar coordinates as follows:

∫(from θ = 0 to θ = π/2) ∫(from r = a to r = 0) 4r³cos(θ)sin(θ) dr dθ

Where, x = r cos(θ) and y = r sin(θ)

Now, we can evaluate this integral using the polar coordinate conversion.

∫(from θ = 0 to θ = π/2)

∫(from r = a to r = 0) 4r³cos(θ)sin(θ) dr

dθ=∫(from θ = 0 to θ = π/2) [cos(θ)sin(θ) ∫(from r = a to r = 0) 4r³ dr ]

dθ= ∫(from θ = 0 to θ = π/2) [ cos(θ) sin(θ) (r⁴) / 4] (from r = a to r = 0)

dθ=∫(from θ = 0 to θ = π/2) [cos(θ) sin(θ) (a⁴) / 4]

dθ= [a⁴ / 4] ∫(from θ = 0 to θ = π/2) sin(2θ)

dθ= [a⁴ / 4] ([- cos(2θ)] from θ = 0 to θ = π/2)

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Answer:

To solve this problem, we will use the following steps:

Step 1: Convert the amount of roast beef used in each sandwich to a decimal by dividing the numerator by the denominator: 3/8 pound = 0.375 pound

Step 2: Subtract the amount of roast beef that Marisa has left from the amount of roast beef that she started with to find the amount of roast beef used: 5 - 2.75 = 2.25 pounds

Step 3: Divide the amount of roast beef used by the amount of roast beef used in each sandwich: 2.25 pounds / 0.375 pounds = 6

Final Answer: Marisa made 6 deli sandwiches.

Scale factor of area is the square of the scale factor of length

The required values are;

Reason:

The given parameters are;

The area of the square garage = 370 ft.²

The area of the new garage has 50% more space

Required;

Part A

The initial side length

The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;

Part B

The side was increased by 50%, to give,

370 + 0.5×370 = 555

The new area of the garage = 555 ft.²

The side length of the new garage, s = √(555) ≈ 23.6

Part C

The percentage increase is given as follows;

\(The \ percentage \ increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }\)

\(The \ percentage \ increase \ in \ length = \dfrac{\sqrt{555} - \sqrt{370} }{\sqrt{370} } \times 100 \approx 22.5 \%\)

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Answer:

D) AAA

Step-by-step explanation:

\(x=95.04\div0.0132\)

\(95.04\div0.0132=7,200\)

\(\bold{x=7,200}\)

Answer:

7200

Step-by-step explanation:

Use the numbers given divide, move the decimal place to the right of 0.0132 until you get 132.

Then divide 95.04 over 132

When 95.04/132=0.72

Then move the decimal four times because 0.0132 to 132 takes times 10000

So 0.72 move the decimal four times or times 10000 you will get 7200

Final answer 7200

Answer:

The last option

Step-by-step explanation:

In order for the graph to be a function it has to pass the vertical line test. If you draw a vertical line through the graph and it only intersects at one point then it is a function.