What is the value of X

The probability that the customer would come in that time is  0.0007

The question puts the mean u = 7.3

We are required to get the probability of less than 1 customer in one hour. The poisson probability formula is what would be used to solve this problem

the formula is given as

[tex]P(X=x) = e^-^u*^u^x[/tex]/X!

where x = 1

p(X=x) = P(X = 0)

P(X < 1) = P(X = 0)

e⁻⁷.³ x 7.30 / 0!

=  0.0007

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Answer:

This is commutative property of supplements

The graph that represents the solution of the inequality is

What is a system of inequality?

An inequality is known as an expression in which two value do not have an equal sign. they have either >, <,≥,≤. And to compute the solution

We plot the inequality and find the common region between them.

We are given a system of inequalities

Which are

y > x-1 and y< -x-2

We plot the graphs of the inequalities

Now we have plotted the graph the red one represents inequality y> x-1

and blue one represents inequality y< -x-2

And the intersection of the two is known as the solution of the system of inequality

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Answer:

Step-by-step explanation:

$427,011.92

Answer:

x = 16

y = 10

Step-by-step explanation:

x+5y =46 [1]

x-y =-14 [2]

x=-14+y [3]

put [3] into [1],

x+5y =46

-14+y+5y=46

6y = 60

y = 10

put y=10 into [1]

x+5(10)=46

x = 16

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 5}(x-\stackrel{x_1}{2}) \implies y +4= -5 (x -2) \\\\\\ y+4=-5x+10\implies {\Large \begin{array}{llll} y=-5x+6 \end{array}}[/tex]

Answer:

14.40 rounded, 14.3999 whole number

Step-by-step explanation:

hope this helps :)

The growth follows a linear equation, for that we need

y = mx + c

The number of months would be the x axis as that is the thing changing, and the height would be the y axis as that is the thing being measured to change.

That now gives us

H = mM + c

m is the gradient and c is the y intercept

We can figure out the gradient because after 1 month the height increases by 1 so the change in y vs the change in x is 1 so the gradient must be 1.

The y intercept in this case is the initial condition and therefore is 11cm.

The final answer being

H = M + 11

The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9

The equation of the function is given as

f(x) = 3x²

Also, we have

Vertex = (5, 9)

The form of the equation is given as

f(x) = a(x - h)² + k

Where

Vertex = (h, k)

This means that

Vertex = (h, k) = (5, 9)

Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 5)² + 9

This also means that

f(x) = -3(x - 5)² + 9

The -3 is gotten from f(x) = -3x²

Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9

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Answer:

just multiply 28 and (28x), then 28 and 0.7 (19.6) and then put them into the correct answer (28x+19.6)

The correct answer to this question is A.

Answer:

The slope of a line perpendicular to m=2 is m= 1.

Step-by-step explanation:

2x+2y=-12

2y=-2x-12

y= -x-6.

The equation is in slope-intercept form now, so it is easy to tell what the slope is.

The slope of y= -x-6 is m = -x. Technically, -x = -1x, so now make the -1 positive and find the reciprocal, which is still 1.

All you need to do to find the perpendicular slope of any line is simply to find the reciprocal of the number and make the positive/negative number the opposite. I hope this helps, have a good day/night! :)

The table that represents the proportional relationship for 3 cups of grape juice for every one fourth cup of rainbow sherbet is:

Grape Juice (cups) 3 6 9

Rainbow Sherbet (cups) 0.25 0.5 0.75

The table that represents the proportional relationship would have a constant ratio of grape juice to rainbow sherbet of 3 cups to one fourth constantly.

One-fourth is equivalent to 1 / 4 when written as a fraction and 0.25 when written as a decimal.

In the second table, when 3 and 0.25, 6 and 0.5, 9 and 0.75 cups of grape juice and rainbow sherbet are expressed in it simplest form, they are all equivalent to 3 and 1/4.

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Answer:

Grape Juice (cups) 3 6 9

Rainbow Sherbet (cups) 0.25 0.5 0.75

Step-by-step explanation:

I took the exam and got it right

One of the possible solutions to this system of linear inequation is

(10, 5).

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Bilquis has x dimes and y nickels.

We know a nickel is 5 cents and a dime is 10 cents.

She has at least 15 coins,

∴ x + y ≥ 15...(i)

She has no more than $1 combined.

0.05x + 0.1y ≤ 1...(ii)

The possible solution of these two inequalities by the graphing method we get (10, 5)

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The required equation is y = 23x - 9 which represents the total number of jumps.

A linear equation is defined as an equation in which the highest power of the variable is always one.

Mrs. Croaker’s class calculated that their class frog, named Fred, jumped 23 times every day, for 14 days in a row.

the total number of jumps = total days × number of jumps per day

the total number of jumps = 14 × 23

the total number of jumps = 322

We can see that two points are (1, 23) and (14, 322)

y - 14 = (322-23/14-1)(x - 1)

y - 14 = 23(x - 1)

y = 23x - 23 + 14

y = 23x - 9

Therefore, the required equation is y = 23x - 9 which represents the total number of jumps.

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Take a look at the attachments...

Hope this helps! :)

Answer:

Step-by-step explanation:

Apr is 248  the customer has to pay 248 dollars every month for 30 years he has to pay 7,440 dollars to the bank or he will lose the house.

Answer:

it is the answer number 1

The measure that best describes the change in the location of the drone is D. -26 1/10m

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the underwater drone is located 9 3/5 meters below sea level and the drone is moved to a location that is 15 1/2 meters below sea level

The change will be:

= - 9 3/5 - 15 1/2

= - 9 6/10 - 15 5/10

= - 25 1/10

The change is - 25 1/10m.

The options are incorrect.

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Answer:

6261

Step-by-step explanation:

it was 6261 because I have to do a i test at

The equation for temperature 67, gives the time as 4.8 hours.

What is amplitude?

A sound is a type of energy that is created when objects vibrate. For it to spread, a medium is needed. As a result, sound cannot travel in a vacuum because there is nothing for the sound waves to travel through. The object's back-and-forth movement creates the sound. Sound vibration is the name for this. Additionally called oscillatory motion. Oscillation describes the regular rhythmic back-and-forth movement.

We know that the general equation of a sine wave is:

[tex]$$y(t)=A \{Sin}(W(t-C))+D$$[/tex]

where,

A- Amplitude

D = Average of Max(y) and Min(y);

[tex]W=\frac{2 \pi}{\text { Period }}[/tex]

C - Phase shift on y(axis)

Part a)

Given Max T= 94 and Min T = 66

Hence,

D = (Max+Min)/2 = 80

A = Max - D = 94-80= 14

Since period is 24 hours, so W = 2\pi/24 = \pi/12

Thus the function till now is:

[tex]T(t)=14Sin(\frac{\pi}{12}(t-C))+80[/tex]

Given low temperature occurs at 3 AM so,

T(3)=66

Solving this we get C = 9

Hence,

[tex]T(t)=14Sin(\frac{\pi}{12}(t-9))+80[/tex]

Part b)

Given Max T= 58 and Average = 45

Hence,

D = 45

A = Max - D = 58-45= 13

Since the period is 24 hours, so W = [tex]2\pi/24 = \pi/12[/tex]

Thus the function till now is:

[tex]T(t)=13Sin(\frac{\pi}{12}(t-C))+45[/tex]

Given high temperature occurs at 5 PM so,

T(17)=58

Solving this we get C = 11

Hence,

[tex]T(t)=13Sin(\frac{\pi}{12}(t-11))+45[/tex]

The temperature at 4 AM is:

[tex]T(4)=13Sin(\frac{\pi}{12}(4-11))+45 = 32.44[/tex]

Part c)

Given Max T= 86 and Min T = 64

Hence,

D = (Max+Min)/2 = 75

A = Max - D = 86-75= 11

Since period is 24 hours, so W = 2\pi/24 = \pi/12

Thus the function till now is:

[tex]T(t)=11Sin(\frac{\pi}{12}(t-C))+75[/tex]

Given average temperature occurs at 8 AM so,

T(8)=75

Solving this we get C = 8

Hence,

[tex]T(t)=11Sin(\frac{\pi}{12}(t-8))+75[/tex]

Now,

We need to find t such that T(t) = 67.

[tex]67=11Sin(\frac{\pi}{12}(t-8))+75[/tex]

[tex]\Rightarrow t=4.88945 \approx 4.89 hours[/tex]

Hence, The equation for temperature 67, gives the time as 4.8 hours.

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Answer:

See below

Step-by-step explanation:

In Q I    cos sin and thus tan are all positive

tan = sin / cos     so you need to find sin

TRIG identity:  

cos^2 + sin^2 =1

 16/27 + sin^2 =1

              sin^2 = 1 - 16/27 =  11/27

                  sin = sqrt (11/27)

tan = sqrt (11/27) / ( 4/sqrt27) =+ sqrt (11) /4

Answer:

12000 is the correct answer.

Step-by-step explanation:

Hope this helps you :)

Mark has brainiest please

The rate of interest for an amount which is compounded quarterly is 4.25%

Given,

The principal amount invested by Oliver, P = $820

The time period of the investment, t = 19 years

The interest is compounded quarterly, n = 4

The amount after 19 years, A = $1830

The compound interest formula;

A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]

We have to find the rate of interest;

For that;

A = [tex]P (1+\frac{r}{n} )^{nt}[/tex]

1830 = 820 [tex](1+\frac{r}{4} )^{76}[/tex]

1830/820 = [tex](1+\frac{r}{4} )^{76}[/tex]

₇₆√1830/820 = 1 + r/4

₇₆√1830/820 - 1 = r/4

r = 4 (₇₆√1830/820 - 1)

r = 0.042 x 100

r = 4.25%

That is,

The rate of interest for an amount which is compounded quarterly is 4.25%

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Answer:

25.749504 kilometers

Step-by-step explanation:

16miles  x 1.609(constant) = 25.749504