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Some data in the question are missing. The complete question is :

The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

Solution :

Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]

∴ E([tex]$X_i$[/tex]) = 5.6

   V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]

n = 100

The required probability

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]

                            = 100 x 5.6

                            = 560

[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]

Standard deviation = 3.5 x 100

                                = 35

[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]

[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]

[tex]$= \phi (1.14286)$[/tex]

= 0.8735

= 0.874  (round to 3 decimal places)

Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.

The parabola of the graph is given in the question

A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.

Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

Learn more about the x-intercept here:

https://brainly.com/question/14180189

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Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer:

-50.4

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

Answer:

terminating decimal

Step-by-step explanation:

doesn't repeat

Answer:

P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Step-by-step explanation:

Mean = 63

Standard Deviation =6

We need to find probability that X lies between 45 and 81 i.e P(45<X<81)

First we will find z-score for X=45 and X=81

For X=45 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]

For X=45, z-score is -3

For X=81 the z-score can be found using formula:  [tex]z-score=\frac{X-\mu}{\sigma}[/tex]

Putting values and finding z-score

[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]

For X=81, z-score is 3

Now finding the probability of P(-3<z<3)

It can be solved as:

P(-3<z<3)=P(z<3)-P(z<-3)

Looking at the z-score table to find

P(z<3)= 0.9987

P(z<-3)=0.0013

So, P(-3<z<3)=P(z<3)-P(z<-3)

P(-3<z<3)=0.9987 - 0.0013

P(-3<z<3)=0.9974

or P(-3<z<3)= 99.74%

So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Answer:

A

Step-by-step explanation:

Answer:

23/2 equals 11.5

Step-by-step explanation:

Answer:

23 divided by two is 11.5

Step-by-step explanation:

Answer:

The mass of an object is directly proportional to its inertia.

[tex]m\alpha I[/tex]

Where

m = mass

I = inertia

Step-by-step explanation:

We can first of all start by defining the two key terms present here - mass and inertia.

The mass of an object is the quantity of matter contained in the object.

The inertia of an object is the resistance of an object which is in a state of rest to motion

The mass of an object is directly proportional to its inertia.

The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:

Option b) 3x - 22 = 38 should be the correct answer.

Step-by-step explanation:

If we solve the equation, we get:

x = 20

So each bag had 20 apples. In total, 3 bags held 60 apples. If he gives away 22 apples to his friends, he has 38 remaining and this satisfies the discription given in the question.

Therefore, option B) 3x -22 = 38 should be your answer.

Answer:

tthw student saavings account

Step-by-step explanation:

Answer:

it's .5 or 1/2

Step-by-step explanation:

3/8 ÷ 3/4 = 1/2

Answer:

Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]

Step-by-step explanation:

Answer: The total will drop by 20%

Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

Answer:

16>x/2

Step-by-step explanation:

Answer:

Honestly im confused by this but i think its the second one

Step-by-step explanation: