ime left 1 The number of calls coming in to an office follows a Poisson distribution with mean 5 calls per hour. What is the probability that there will be exactly 7 calls within the next hour ? Question 6 Answer saved Marked out of 1.00 P Flag question O a. 0.090 O b. 0.104 Oc. 0.123 O d. 0.071 The number of calls coming in to an office follows a Poisson distribution with mean 5 calls per hour. What is the probability that there will be exactly 7 calls within the next three hours? Question 5 Answer saved Marked out of 1.00 P Flag question O a. 0.090 O b. 0.104 O c. 0.010 O d. 0.071

Answer:

Below

Step-by-step explanation:

First let's determine the slope if thus function

Let m be the slope of this function

m = [0-(-4)]/ 2-0 = 4/2 =2

So our equation is:

y = 3x +b

b is the y-intercept wich is given by the image of 0

Here it's -4

So the equation is:

y = 2x-4 wich is also y = x-2 after simplifying

●●●●●●●●●●●●●●●●●●●●●●●●

A line that is parallel to this one will have the same slope.

Examples:

● y= 2x+3

● y = 2x-7

■■■■■■■■■■■■■■■■■■■■■■■■■■

A line that is perpendicular to this one and has a slope m' satisfy this condition:

m*m'= -1

m'= -1/m

m' = -1/2

So this line should have a slope that is equal to -1/2

Answers from the choices:

y = -1/2 x +1/2

y+1= -1/2 (x-3)

Answer:

Step-by-step explanation:

You want a set of inequalities, their graph, and a possible solution that represents the constraints on Morgan's working two jobs. Morgan earns $20 for each hour (x) spent tutoring, and $12 for each hour (y) clearing tables. Her total hours must not exceed 16, and her total earnings must be at least $240.

The limit on total hours can be expressed as ...

  x + y ≤ 16

The requirement on earnings can be expressed as ...

  20x +12y ≥ 240

A graph of the inequalities is attached. The values given lend themselves to graphing using the intercepts of each boundary line. These are found by setting one variable to zero and solving for the other.

  x + y = 16 . . . . x-intercept = 16; y-intercept = 16

  20x +12y = 240 . . . . x-intercept = 240/20 = 12; y-intercept = 240/12 = 20

The first inequality is shaded below the (solid) line, and the second inequality is shaded above the line.

Each of the vertices marked on the graph is a possible solution, as are any points in the doubly-shaded area: (10, 5) for example.

__

Additional comment

The second inequality can be "reduced" by removing a factor of 4 from each number:

  5x +3y ≥ 60

This inequality has the same graph as the original. It might be said to be in "standard form" (with mutually prime coefficients), but the relationship between the coefficients and the values in the problem is lost.

Answer:

Step-by-step explanation:

If z varies with y and inversely with and z = 6 when x = 4 and y = 3, then the value of Proportionality Constant is given by 8.

Proportion is a relation between two mathematical variables. If two variables vary directly that states if one increases another will also decrease and same for decrease.

If two variables are in inverse relation that states that if one variable increases then another decreases and if one variable decreases then another increases.  

Given that, z varies with y and inversely with x. So,

z = k*(y/x), where k is the proportionality constant.

Given that, z = 6 when x = 4 and y = 3. So,

6 = k*(3/4)

k = (6*4)/3

k = 2*4

k = 8

Hence the value of Proportionality Constant is 8.

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The question is incomplete. The complete question will be -

"z varies with y and inversely with x when z=6, x=4, and y=3. Find the value of Proportionality Constant."

Answer:

The answer is exponentially.

Step-by-step explanation:

Because your X goes up by one while your f(x) goes up by three for every X, which makes it exponential.

Answer:

exponentially

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

First, do the equation in the parentheses

5(6+2)

5(8)

then multiply

5 * 8 = 40

Answer:

40

Step-by-step explanation:

5(6+2)

Parentheses first

5(8)

Multiply

40

Answer:

122 po yan po dapat

Step-by-step explanation:

thanks me letter

Answer:

Below.

Step-by-step explanation:

336/6

= 56 miles per hour.

Answer:

45 minutes

Step-by-step explanation:

The minimum of a box-and-whisker plot is the leftmost endpoint, called the "whisker". This minimum is the smallest value collected in the data.

Answer: 0.4

Step-by-step explanation: Simplify the expression

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

Answer:

\(95\) students

Step-by-step explanation:

From the information "38% of all seventh graders have taken swimming lessons" and that there are a total of 250 students in seventh grade:

\(38\% \times250=95\)

∴ \(95\) seventh graders took swimming lessons.

Hope this helps :)

Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation:

Answer:

y = 2x^2 + 4x +6

Answer:

Step-by-step explanation:

5(y + 1) = 5

Divide both sides by 5

=> 5(y + 1)/5 = 5/5

=> y + 1 = 1   [ 5 in numerator and 5 in denominator cancel]

Subtract 1 from both sides

y + 1 -1 = 1 - 1

y + 0 = 0

=> y = 0

Answer:

\(3n + 7 = 52 \\ 3n = 52 - 7 \\ 3n = 45 \\ n = \frac{45}{3} \\ n = 15\)

Graph is not inserted.

There are 48 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.

Explanation: We are given that a standard deck of 52 cards. (a) The first card is an Ace and (b) the second card is not a Queen. In a standard deck of 52 cards, there are four aces. If the first card drawn is an ace, then there are 51 cards left in the deck and 12 cards that are queens. Hence, there are 51 − 12 = 39 cards that are not queens. So, we can say that, There are 4 aces × 39 cards that are not queens = 156 ways to choose two different cards from a standard 52-card deck such that the first card is an Ace and the second card is not a Queen.

However, we have to remove the case where both cards are aces and the second card is a queen. So, we subtract 1 from the previous answer to get, 156 − 1 = 155 ways to choose two different cards from a standard 52-card deck such that (a) The first card is an Ace and the second card is not a Queen.

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Answer: 7/8

Step-by-step explanation: First you have to multiple 3/4 by 2 so it would be 6/8 and then add it to the 1/8 and it'll be 7/8 correct me if I'm wrong.

The radius of the circle is 4 units.

Given to us:

\(x^2 + y^2 - 10x + 6y + 18 = 0\)

The generalized format for radius of a circle is given by:

\(\\(x - h)^2 + (x - k)^2 = a^2\\where,\\h, k= coordinate\ of\ the\ center\ of\ the\ circle\\a= radius\ of\ the\ circle\)

therefore after rearrangement of the equation we get,

\(x^2 + y^2 - 10x + 6y + 18 = 0,\\x^2 - 10x + y^2 + 6y =- 18,\\\)

adding 25 and 9 on both the sides to bring it in the generalized format for radius of a circle,we get

\(x^2 - 10x+25 + y^2+ 6y+9 =-18+25+9,\\\)

\((x - 5)^2 + (y + 3)^2 = 16\\(x - 5)^2 + (y + 3)^2 = 4^2\\\)

Hence, the coordinate for this circle are x=5 and y=-3. And the radius of the circle is 4 units.

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There are 25 males in village 3

The given parameters are:

Total males = 75

                 Male     Female   Total

Village 1   20              25

Village 2  30                            50

Village 3                     30

Total         75

The number of male in village 3 is calculated using:

Male = Total Male - Male in villages 1 and 2

So, we have:

Male = 75- (20 + 30)

Evaluate

Male = 25

Hence, there are 25 males in village 3

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Complete question

An island has three villages and the total number of males is 75. The first village has 20 males and 25 females. The second village has 50 people of whom 30 are males. The third village has 30 females.

Calculate the number of male in third village

The sοlutiοn οf the given prοblem οf area cοmes οut tο be the side length rises by 1, the area grοws and then shrinks by an equal factοr.

Calculating hοw much space wοuld be needed tο fully cοver the οutside will reveal its οverall size. When determining the surface οf such a trapezοidal fοrm, the surrοundings are additiοnally taken intο accοunt. The surface area οf sοmething determines its οverall dimensiοns. The number οf edges here between cubοid's fοur trapezοidal extremities determines hοw much water it can hοld inside.

Here,

Optiοn B

The area grοws initially and then decreases by an amοunt equivalent tο the side length multiplied by 1. The area grοws befοre decreasing by an equivalent amοunt.

This is the case because a square's surface and side length are inversely prοpοrtiοnal. Where r is the οriginal side length, the area grοws by a factοr οf (1 + 2r + r2) as the side length rises by 1.

When r is big, hοwever, the term r2 dοminates and the area increase is less nοticeable.

Eventually, as r gets clοser tο infinite, the area increases οnly marginally and eventually reaches a limit.

As a result, as the side length rises by 1, the area grοws and then shrinks by an equal factοr.

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Complete question:

Answer:

\(81124\ miles\)

Step-by-step explanation:

\(We\ are\ given,\\No.\ of\ miles\ a\ satelite\ flies\ in\ 7.36\ hours=50048\ miles\\To\ find:\\The\ no.\ of\ miles\ it\ has\ flown\ in\ 11.93\\Now,\\We\ can\ solve\ this\ by\ constructing\ a\ proportion,\\A\ proportion\ is\ simply\ represented\ in\ this\ format:\\\frac{x_1}{y_1}=\frac{x_2}{y_2}\\Here,\\x\ represents\ Miles\ while\ y\ represents\ Hours.\\Hence,\\x_1=50048\ miles\\y_1=7.36\ Hours\\x_2=x_2\\y_2=11.93\ Hours\\Hence,\ by\ setting\ up\ a\ proportion\ we\ get,\\\)

\(\frac{50048}{7.36}=\frac{x_2}{11.93}\\Now,\ by\ solving\ the\ equation,\\6800*11.93=x_2\\x_2=81124\ miles\)

The error in the solution is that, In step 2, the Distributive Property was applied incorrectly.

Equations are mathematical expressions consisting of two or more variables and constants on two sides connected by an equal to sign.

Solution of the equation is the value of the variable that the equation holds true.

Given equation is,

8 - \(\frac{a}{2}\) = 3 (4 - 5a)

Using the multiplication property of equality, multiplying whole equation by 2,

(2 × 8) - a = 6 (4 - 5a)

16 - a = 6 (4 - 5a)

Distributive property states that, for three numbers or expressions, a, b and c,

a (b + c) = ab + ac

Applying that,

6 (4 - 5a) = (6 × 4) - (6 × 5a) = 24 - 30a

But the student didn't multiply 6 with 5a, and thus he got 24 - 5a in step 2.

Hence the incorrect step is step 2 because of incorrect use of distributive property.

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Your question is a bit confusing. The complete question with an image is given below.

A student provided the steps for solving an equation. Which statement describes the error in the solution?

Equation : 8 - \(\frac{a}{2}\) = 3 (4 - 5a)

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

The lifting force (f) is given by the formula, f = kav², where k is the constant of variation. It is given that the lifting force varies jointly as the area (a) of the wing's surface and the square of the plane's velocity (v).

f = kav² ----- (1)

The given values are:

a = 230 sq. ft.

v1 = 240 mph

f1 = 14100 lbs

v2 = 150 mph

We need to find the lifting force (f2) when the plane slows down to 150 miles per hour. Now, we need to find the value of the constant of variation (k). We have,

f1 = kav1²

14100 = ka (230) (240)²

14100 = ka (230) (57600)

14100 = 13248000a

k = 14100 / (13248000a) ----- (2)

We can substitute equation (2) into equation (1).We have,

f = 14100 / (13248000a) x a x v² ----- (3)

We can substitute the given values into equation (3).

We have,

f2 = 14100 / (13248000a) x a x 150²

f2 = 14100 / (13248000 x 230) x 150²

f2 = 563 / 5064 x 22500

f2 = 2493.24324324

The lifting force on the wing if the plane slows down to 150 miles per hour is 2493.24324324 pounds.

Answer: 2493.24324324.

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Answer:

x + x + 2

Step-by-step explanation:

cuz if its consecutive odd then its every 2 numbers so if x = 3 then you add two to x

Answer:

B

Step-by-step explanation:

I am taking the quiz and also thx to the person that answered before me

The correct answer is option C: 12/13 or simplified to 25/51.The probability ,

of not being dealt a 5 from a 52-card deck is 48/52 or simplified to 12/13. The deck of 52 cards has 4 cards of each denomination (Ace, 2, 3, ..., 10, Jack, Queen, and King) and 13 cards of each suit (hearts, diamonds, clubs, and spades).

Since there are four 5's in the deck, the probability of being dealt a 5 is 4/52 or simplified to 1/13. Therefore, the probability of not being dealt a 5 is 1 - 1/13 = 12/13.

The answer is option C: 25/51 is incorrect as it is the probability of not being dealt a spade. Option A: 25/102 and Option D: 1/2652 are also incorrect.

Option A seems to assume that the deck has 104 cards instead of 52, while Option D seems to be the probability of being dealt a specific card (5 of Hearts) rather than any non-5 card. Therefore, the correct answer is option C: 12/13 or simplified to 25/51.

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The integration is as follow

Finding an antiderivative of a function is the process of integration. If a function can be integrated and its integral across the domain is finite with the given bounds, then the integration is definite.

Given:

first, \(\int\limits {e^{4x} / 19 - e^{8x}} \, dx\)

= \(\int\limits {e^{4x} / 19 - e^{(4x)}^2} \, dx\)

let \(e^{4x}\) = z

4\(e^{4x}\) dx = dz

= 1/4 \(\int\limits {dz / \sqrt{19} ^2 -z^2} \,\)

= 1/4 x 1/2√19 log|(z+ √19)/(z-√19)| + C

= 1/8√19 log|(\(e^{4x}\) + √19)/ (\(e^{4x}\) - √19)| + C

Second,

\(\int\limits {33 sec^5 (x)} \, dx\)

= 33 [ 1/4 tan x sec³x + 3/4 ∫sec³x dx]

= 33/4  tan x sec³x + 99/4[ 1/2 tan x sec x +1/2 ∫sec x dx]

=  33/4  tan x sec³x + 99/8 tan x sec x +99/8 log (sec x+ tan x) + C

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A 95% confidence interval for the calorie count of the snack bars is (135.88, 167.24).

We will construct a 95% confidence interval for the calorie count of the snack bars using the given sample data and population standard deviation (σ=24).

Step 1: Calculate the sample mean (x)

x = (149+145+140+160+149+153+131+134+153) / 9

x = 1364 / 9

x = 151.56

Step 2: Find the z-score for a 95% confidence interval

The z-score for a 95% confidence interval is 1.96 (from the standard normal table).

Step 3: Calculate the standard error (SE)

SE = σ / √n

SE = 24 / √9

SE = 24 / 3

SE = 8

Step 4: Calculate the margin of error (ME)

ME = z-score * SE

ME = 1.96 * 8

ME = 15.68

Step 5: Construct the confidence interval

Lower limit = x - ME = 151.56 - 15.68 = 135.88

Upper limit = x + ME = 151.56 + 15.68 = 167.24

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Step-by-step explanation:

To solve a two-variable system of inequalities, we need to graph the solution set. The solution set is the overlapping region between the two inequalities.

Let's take an example of a two-variable system of inequalities:

3x + 2y ≤ 12

x - y > 1

To graph this system of inequalities, we will first graph each inequality separately.

For the first inequality, we will start by finding its intercepts:

When x = 0, 2y = 12, so y = 6.

When y = 0, 3x = 12, so x = 4.

Plotting these intercepts and drawing a line through them gives us the boundary line for the first inequality:

3x + 2y = 12

Next, we will shade one side of the line to indicate which half-plane satisfies the inequality. To determine which side to shade, we can choose a test point that is not on the line. The origin (0,0) is a convenient test point. Substituting (0,0) into the inequality gives us:

3(0) + 2(0) ≤ 12

0 ≤ 12

Since this is true, we shade the side of the line that contains the origin:

[insert image of shaded half-plane]

Now let's graph the second inequality:

For this inequality, we will again start by finding its intercepts:

When x = 0, -y > 1, so y < -1.

When y = 0, x > 1.

Plotting these intercepts and drawing a line through them gives us the boundary line for the second inequality:

x - y = 1

Note that this line is dashed because it is not part of the solution set (the inequality is strict).

Next, we will shade one side of the line to indicate which half-plane satisfies the inequality. To determine which side to shade, we can again choose a test point that is not on the line. The origin (0,0) is a convenient test point. Substituting (0,0) into the inequality gives us:

0 - 0 > 1

This is false, so we shade the other side of the line:

[insert image of shaded half-plane]

The solution set for the system of inequalities is the overlapping region between the two shaded half-planes:

[insert image of overlapping region]

So the solution set is { (x,y) | 3x + 2y ≤ 12 and x - y > 1 }.

In summary, to solve a two-variable system of inequalities, we need to graph each inequality separately and shade one side of each boundary line to indicate which half-plane satisfies the inequality. The solution set is the overlapping region between the shaded half-planes.