Use the diagram to complete these statements. If m26 = 50°, then m2 = 50° If m 25 = 70°, then m = 70 What is the measure of 22?
m2 2 =​

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:

Following are the solution to the question:

Step-by-step explanation:

[tex]Radius= 3\\\\center= (-4,4,1)\\\\x(t)=-4\\\\y(t)=4+3 \cos \ t\\\\z(t)= 1+ 3 \sin \ t[/tex]

Answer:

The answer would be x by 2 over the squared number.

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer:

X = 20 minutes .

Step-by-step explanation:

One word:  4/140 = 1/35 minute .

700 words: X = 700x1/35 = 20 minutes .

(Multiplication)

Answer: x+y = -1

Step-by-step explanation: standard form is Ax+Bx=C. In this case, x and y’s coefficient is 1, so you don’t have to put anything in front of x and y. An when you bring -8 to the other side, it become positive 8, and -9+8=-1. hope this helps

Step-by-step explanation:

Squares have equal lengths on all sides, so we already know that 46 ft applies to the entire square.

46 x 46 = 2116

We then subtract this from 3846, so

3846 square feet - 2116 square feet = 1730

Answer:

here we can talk if you want

Answer:

b c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If the standard deviation for the original serving is .2, and they doubled the size, then the deviation would become .4. Then you multiply that by the ten servings to make 4.

Answer:

the answer is A substitution

Answer:

791

Step-by-step explanation:

Prime number is a number that is divisible only by itself and 1 .

prime numbers less than 80

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

therefore,

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

=791

Answer:

791.

prime numbers less than 80 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79

sum of these numbers are

2+3+5+7+11+13+17+19+23+29+31+37+41+43+47+53+59+61+67+71+73+79

= 791

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

The model for the relationship between the number of $0.20 price decrease, x, to the amount of money earned, E, is presented by the following equation;

Please find attached the values of the model in the attached table and graph of the model.

Let x represent the number of $0.20 price decrease and let E represent the total amount earned (the revenue), we have the following revenue equation;

However;

When the number of cars washed = (450 + 50•x)

The price to wash one car = (5 - 0.2•x)

Therefore;

Which gives the following equation;

Please find the attached table and graph created using the above equation for the amount earned per year.

From the graph, the maximum amount is earned when the price is reduced by $0.20, eight times to give;

Optimum price = 5 - 0.2×8 = 3.4

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Answer:

$201.60

Step-by-step explanation:

1/5 of 168 is 33.6, So I added the $33.6 to 168 and got $201.60.

Answer:

The answer is 56 square feet. Don't forget the square or else the answer is invalid :). good luck

Step-by-step explanation:

Answer:

y = [tex]-\frac{5}{2}[/tex]x - 1

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

y = [tex]-\frac{5}{2}[/tex]x + 6

y = mx + b

4 = [tex]-\frac{5}{2}[/tex] ( -2 ) + b

4 = 5 + b

b = -1

y = [tex]-\frac{5}{2}[/tex]x - 1

Answer:

4i + 9 < simplified version

Step-by-step explanation:

3 + 5i + 6 - i =

4i + 9

Answer:

x=45

Step-by-step explanation:

2/5x-10=8

2/5x=18

x=18÷2/5

x=18(5/2)

x=45

Answer:

(2/5 × x) - 10= 8

2/5x= 8+10

2x= 5 × 18

x = 90/2

x = 45

Answer:

200/2.5=80

your answer would be B: 80 km/h

Answer:

16

Step-by-step explanation:

n=4

subset=2^n

=2^4

=16

Answer:

.67 secounds

Step-by-step explanation:20/3

A) First day = x blocks

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2

C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks

A) We are told that the first day, she walks x blocks

Thus;

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14

Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;

5x + 14 ≥ 70

Subtract 14 from both sides of this equation to get:

5x ≥ 56

Divide both sides of this equation by 5 to get:

x ≥ 11.2

C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.

assume she walks exactly 11.2 blocks the first day.

then her total walking based on the formula would be:

first day 11.2

second day 13.2

third day 15.2

fourth day 15.2

fifth day 15.2

total walked is 11.2 + 13.2 + (3 * 15.2)

this equals 24.4 + 45.6 which equals 70.0

Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.

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Answer:  The unite rate is    $3  per pack.

Step-by-step explanation:

The unit rate will the the cost of one pack of donuts.

If 6 packs is equal to $18 dollars, then to find the unit rate we will divide 18 by 6.

18/6 = 3

This means  one pack of of donut will cost $3.

Answer:

30+(-46)= -16

-45+(-25)= -70

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you have a calculator just put 6 / 12, and you will get your answer

If you don't have a calculator, do long division or you can simplify the fraction. Ex: 6/12 = 3/6 = 1/2; 1/2 = 0.5

Answer:

0.5

Step-by-step explanation:

You can reduce it to 1/2 which is equivalent to 50% or 0.5

The coordinates of X¹ will be (6,-2), if the rectangle was rotated 90° clockwise about the origin.

Given that, rectangle WXYZ has coordinates at W(2, 2), X(2, 6), Y(4, 6), and Z(4, 2) respectively. We have to calculate the coordinates of X¹ when the rectangle was rotated 90° clockwise about the origin.

Rotation generally helps us to align the figures in the direction along with a fixed point. To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x). So, (y,-x) will be the rotation of the coordinates about 90° clockwise about the point.

So, we have to calculate the coordinate after rotation of X(2, 6). Let's suppose after rotation X changes to X¹ then, we have

X(2, 6)→X¹(6,-2) when the rectangle was rotated 90° clockwise about the origin.

Therefore, (6,-2) is the required answer.

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Answer:

Yes

Step-by-step explanation:

yes because if she keeps her money then,

Answer: The smartest option for Isabel in her case would be to keep the Traditional 401 (k), this is because she ends up with 50 more dollars rather than losing money with the Roth 401 (k). This is only true if her assumptions and calculations are accurate. With her saying that she believes that she will not be in a higher tax bracket, and she wants the most take home money possible then I would recommend she stays with the Traditional 401 (k).

Step-by-step explanation:

With a traditional 401 (k) although you don't have to pay taxes up front, you still need to pay taxes on any capital gains/when you take that money out you will then have to pay some taxes. Although this is the case if you are in a higher tax bracket when you take that money out you will have to be paying at that higher tax bracket. With a Roth 401(k) you pay those taxes up front, but all those capital gains you may recieve over time you end up not having to pay taxes on ANY of it. So if you are in a higher tax bracket and get more of those gains over time from being in that bracket then it would be the smartest option to go with the Roth 401(k). Now this would be smart to go with a Roth 401(k) if you are young and just starting out because you can advance through future opportunies, but in Isabel's case this is different. She says that she believes that her tax bracket won't change and if she wants to have the most take home money possible then in her case it would be the smartest option to go with the traditional 401 (k) because she will be taking home 50 more bucks according to her calculations.