Simon walks a total of 45.55 miles in march sand 35.7 miles in April.


How many miles does Simon walk in all march and April?

Enter your answer in the box.


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Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 72.6, \sigma = 2.7\).

Item a:

The percentile is the p-value of Z when X = 74.2, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{74.2 - 72.6}{2.7}\)

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 70, hence:

X = 78:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{78 - 72.6}{2.7}\)

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{70 - 72.6}{2.7}\)

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

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Answer:

8x2+4x+16

Step-by-step explanation:

first you would place as so

8x2-5x+9 - (-9x-7)

you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7

You then add like terms and put them into standard form.

hope this helps!!

Answer:

-259.2

-8.14

Step-bytep explanation:

Answer: a

Step-by-step explanation:

To stretch a spring 1 ft. from its natural length, a 15 ft-lb work is needed. To stretch a spring 6 in. from its natural length, the required work is 3.75 ft-lb

The work done on a spring is given by the formula:

W = 1/2 . kx²

Where:

k = spring constant

x = spring displacement

From the formula, we know that the work is directly proportional to the square of displacement, or mathematically:

                W ∝ x²

Therefore,

W₁ : W₂ = x₁² : x₂²

Data from the problem

W₁ = 15 ft-lb

x₁ = 1 ft

x₂ = 6 in. = 0.5 ft

Hence,

15 : W₂ = 1² : 0.5²

W₂ = 0.25 x 15 = 3.75 ft-lb

Hence, the required work to stretch the spring 6 in beyond its natural length is 3.75 ft-lb

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the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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The modification to the system of sampling procedure will affect amount of dissolved oxygen in the water, leading to many consequences and finally resulting in rejection of collected data .



In short, the time of day when a sample is collected is regarded as crucial phase which can adversely  affect the results of a water quality test. The temperature of the water plays a important role which can change throughout the day, and also put lots of stress on  the amount of dissolved oxygen in the water.

Dissolved oxygen is an imperative measure for checking the water quality because it is a survival need for aquatic life. The total amount of sunlight that penetrates  the water seriously affects the amount of dissolved oxygen in the water. In the event  if a sample is acquired at a different time than usual, it may not be accurate to other samples that were taken at different times.

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The complete question is

A local citizen science group is monitoring the water quality of a nearby lake. They gather water samples once a week on Wednesday between the hours of 7 A.M. and 9 A.M. from the same location. One day in August they were unable to sample within that time frame and collected the sample at 3 P.M. How might this modification to the sampling procedure affect the results?                                                          

Answer:

11/4

Step-by-step explanation:

Answer:

6 DIVIDED BY 1/8

Step-by-step explanation:

Answer: 6 divided by 1/8

Answer:

192

Step-by-step explanation:

The final answers are given below

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

A number is an arithmetic value that is used to calculate and represent a quantity.

The numbers that are more than \(20\) but less than \(30\) are \(22\) and \(26\), so they should be crossed out:

\(31 16 48 29 53 47\) X \(37 98\) X \(2025\)

Therefore the answers are given below.

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

When doing transformations and shipments to absolute value functions is:

When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift

When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.

The vertex for the general form of an absolute value function is (h,k)

The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".

Answer:

The expression that is not correct is:

The vertex for the function is (k,h)

the height of the mast is approximately 51.5 meters.

what is approximately ?

"Approximately" means that the value is an estimate that is very close to the true value but may not be exact. In the context of the answer I provided, "approximately" indicates that the height of the mast is very close to 51.5 meters but may be slightly more or less than that value.

In the given question,

Let's call the height of the mast "h". We can use trigonometry to find the value of "h".

If we draw a diagram, we can see that the angle of elevation of the mast is the same as the angle between the ground and a line from P to the top of the mast. We can call this angle "θ".

We know that tan(θ) = opposite/adjacent = h/150.

We also know that tan(19°) = 0.3431 (rounded to 4 decimal places).

So we can set up an equation:

0.3431 = h/150

To solve for "h", we can multiply both sides by 150:

h = 0.3431 x 150

h = 51.465 (rounded to 3 significant figures)

Therefore, the height of the mast is approximately 51.5 meters.

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A network of roads is a blueprint of how each towns or cities are linked by a path or road. So that in the given question, the different routes to travel from T to W with respect to the given conditions are:

i. TNW

ii. TSW

iii. TOW

iv. TOSW

v. TNSW

vi. TNSOW

vii. TOSNW

viii. TSNW

ix. TSOW

There are nine (9) different routes from T to W.

A route is either a path or road that links or connects two or more villages, cities or towns. Thus, a person can travel or be conveyed from one town to the other, or city (village) to another, depending of the road network. Road network is the cobweb of connecting roads among cities.

Considering the network of roads in the given diagram and the conditions for travelling from T to W, then the number of routes is nine. And these routes are:

Given that no part of the route should be retraced or going to any town more than once per route.

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The approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

To find the number of cell sites in the years 1998, 2008, and 2015 using the given model equation:

y = 336.01/(1 + 29.39e^(-0.256))

We substitute the respective years into the equation and calculate the value of y.

For the year 1998:

Substituting t = 1998 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*1998))

For the year 2008:

Substituting t = 2008 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2008))

For the year 2015:

Substituting t = 2015 into the equation:

y = 336.01/(1 + 29.39e^(-0.256*2015))

To find the actual numerical values, we need to evaluate these expressions using a calculator or a computer program that can handle exponentiation and arithmetic calculations.

Please note that it is important to follow the correct order of operations when evaluating the exponent term, particularly the negative sign and the multiplication. The exponent term should be calculated first, and then the result should be multiplied by -0.256.

By substituting the respective years into the equation and evaluating the expression, you will obtain the approximate numbers of cell sites for the years 1998, 2008, and 2015 based on the given model.

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Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p  is (3.71, 6.71) which is  at  3/4 of the distance from A to B for A(2,5) and B(6,9)/

1. The most likely color for the taxi = green

2. The probability that the taxi is blue = 0.25

Let us assume that tg represents the taxi was green and tb represents the taxi was blue;

Also yg represents the taxi appeared green and yb  represents the taxi appeared blue.

9 out of 10 athenian taxis are green

So, P(tg) = 0.90

And, P(tb) = 1 - P(tg)

                = 1 - 0.90

                = 0.10

As under the dim lighting conditions, discrimination between blue and

green is 75% reliable,

P(yb | tb) = 0.75.

So, P(yg | tb) = 1 - P(yb | tb)

                     = 0.25

Similarly P(yg | tg) = 0.75

Thus, P(yb | tg) = 1 - P(yg | tg)

                         = 0.25

P(tb | yb) = P(tb, yb) / P(yb)

               = [P(yb | tb) P(tb)] / [P(yb, tg)P(tg) + P(yb | tb) P(xb)]

               = 0.25

Thus the probability that the taxi is blue = 0.25

P(tg | yb) = 1 - P(tb | yb)

              = 0.75

We can observe that P(tb | yb) > P(tb) but the posterior P(tb | yb) is smaller than 0.5, since the prior P(tb) is very small. Thus, the taxi was most likely green.

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The complete question is:

Suppose you are a witness to a nighttime hit-and-run accident involving a taxi in Athens.All taxi cars in Athens are blue or green. You swear under oath that the taxi was blue.Extensive testing shows that, under the dim lighting conditions, discrimination between blue and green is 75% reliable.

1. is it possible to calculate the most likely color for the taxi? (*hint:* distinguish carefully between the proposition that the taxi *is* blue and the proposition that it *appears* blue.)

2. what is the probability of the taxi being blue, if you know that 9 out of 10 athenian taxis are green?

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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In the figure, mGE = 97 and mHF = 43. Since GPEQ is a parallelogram, opposite angles are congruent. Therefore, m<GPE = m<EQG = mGE = 97.

m<GPEQ = 97

Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

What is a Reflection?

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

The domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The symbol a < b indicates that a is smaller than b. When a > b is used, it indicates that a is bigger than b.

Given that height of the rocket in feet is given by h(t) = -16t² + 16t+ 96 where t represents the time in seconds after launch

We know that height can not be negative.

∴ h ≥ 0.

So,  - 16t² + 16t+ 96 ≥ 0.

- t² + t+ 6 ≥ 0.

t ≥ 3 seconds.

Therefore the domain of the function (t) in h(t) = -16t² + 16t+ 96 should be greater than or equal to 3 seconds.

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Answer:

-8, -6, -4, -1, 3

Step-by-step explanation:

Hope it helps! =D

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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The solution of expression is,

⇒ (6 + a⁴b) / a²b²

We have to given that,

An expression to solve is,

⇒ 6/a²b² + a²/b

Since, Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, WE can simplify the expression as,

⇒ 6/a²b² + a²/b

Take LCM;

⇒ (6 + a² × a²b)  / a²b²

⇒ (6 + a⁴b) / a²b²

Therefore, The solution of expression is,

⇒ (6 + a⁴b) / a²b²

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Answer:

sorry what? the photo is not clear

Step-by-step explanation:

dude the photo

plz brainliest

To calculate the value of X that Ellen should deposit in the bank, we need to determine the present value of the future payments that will accumulate to $50,000 in six years.

Using the formula for compound interest, the present value can be calculated as follows:

PV = X/(1 + r)^1 + X/(1 + r)^2 + X/(1 + r)^3,

where r is the annual interest rate (5%) expressed as a decimal.

To find the value of X, we set the present value equal to $50,000 and solve for X:

50,000 = X/(1 + 0.05)^1 + X/(1 + 0.05)^2 + X/(1 + 0.05)^3.

Once we determine the value of X, we can proceed to the next step.

For the second part of the question, after four years, the bank raises the interest rate to 6%.

From year four to year six, Ellen's money will continue to accumulate interest.

To find the amount donated, we calculate the future value of the remaining amount after deducting the down payment of $50,000:

Remaining amount = X/(1 + 0.06)^2 + X/(1 + 0.06)^3 + X/(1 + 0.06)^4.

The donated amount is then the difference between the remaining amount and the total accumulated after six years.

By evaluating these expressions, we can determine the value of X and the amount donated by Ellen.

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Answer:4

Step-by-step explanation:i hoped ive helped u

Answer:

The first one

Step-by-step explanation:

3x6=18

3.6x5=18