According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience, the probability for each child to pass the fitness test is 0.75 and whether a child can pass
the test is independent with the test result of other children.
(a) Many test sessions will be conducted regularly, each with 10 independent children. Find the expectation
and standard deviation of the number of children can pass the fitness test in a test session.
(b) Most likely, how many children can pass the fitness test in a test session? Justify your answer by
comparing the two outcomes with the relatively high probability.
(c) Find the probability that less than 8 children can pass the fitness test in one test session.

Answers

Answer 1

Answer:

According to the guideline from the Health Department, every over-weight child needs to take a fitness test.

Every ten over-weight children would be randomly grouped together to attend the fitness test. According to

the past experience

Step-by-step explanation:


Related Questions

Steve watched television for 3/4 hour on Monday and 5/6 hour on Tuesday. How much longer did he watch television on Tuesday than on Monday?

_______ hour

Answers

1/12 is the answer.

x-8=17

plssssss help me

Answers

Answer:

25

Step-by-step explanation:

17+8

x -8 = 17
x = 17+8
x = 25

what is the graph of the system? y < -2

Answers

Answer: The answer is -2 it's just going to stay as -2 because y has no value.

Answer: this is the graph i wish that could help :)

I need help with this due today

Answers

Answer: P-22 A-30

P=28 A-28

P=12 A=9

P=18 A=18

Step-by-step explanation:

1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30

2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28

3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9

4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18

According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.​

Answers

Answer:

C. [tex] Cos(28) = \frac{15}{17} [/tex]

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

[tex] Cos(28) = \frac{15}{17} [/tex]

"Death Valley Hike"
A hiker in Death Valley begins the climb out of the valley from 150 feet below sea level. 5
minutes later, the hiker is 87.5 feet below sea level.
a) Write an equation that models this situation.
b) What is the y-intercept and what does it represent?
c) What is the x-intercept and what does it represent?
d) What is the slope and what does it represent?
e) What is the hiker's distance below sea level after 10 minutes?

Answers

I would go with Either E or A

Answer:

I'm pretty sure E

Step-by-step explanation:

think about it he traveled 70 feet in 5 minutes so he would still be below sea level

what property of equality is used to isolate the term with variable in the equation 2 x + 2 = 4?
A. Addition property
B. Reflexive property
C. Multiplication property
D. Transitive property
(it will help me a lot)​

Answers

Answer:

I think it is addition property

Addition property (A)

A rocket is launched from a tower. The height of the rocket, y in feet, is rel
time after launch, x in seconds, by the given equation. Using this equation
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x² + 147x + 80

Answers

9514 1404 393

Answer:

  9.70 seconds

Step-by-step explanation:

The zero of the equation can be found using the quadratic formula.

  ax² +bx +c = 0

  x = (-b ±√(b² -4ac))/(2a)

We are only interested in the positive value of x, so this will be ...

  x = (-147 -√(147² -4(-16)(80)))/(2(-16)) = (147 +√2679)/32

  x ≈ 9.7028 ≈ 9.70 . . . . seconds

The rocket will hit the ground after about 9.70 seconds.

BRAINIEST FOR CORRECT ANSWER!! :))) ——————-

Determine the possible side lengths of the third side of a triangle with known side
lengths of 5 and 8.

A) 5 < c < 8

B) 3 < c < 13

C-5 < c <-8

D) -3 < C < -13

Answers

Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13

Which transformation could NOT be used to prove that two circles are congruent to one another?

Answers

Answer: D

Step-by-step explanation:

This one is the one I need help with my final question

Answers

Answer:

vertex C could be at (6,0) or (2,8)

(I'm sorry if I'm wrong, but if not I hope this helps!)

Step-by-step explanation:

vertex C needs to be placed somewhere on the graph where it would form a right angle (and therefore a right-angled triangle as well). vertex C could be at (6,0) or (2,8). this is because at these two points vertex C will form a right angle, therefore making it a right-angled triangle.

how does the digit 5 in the number 357 compare with the digit 5 in number 465

Answers

Answer:

The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place

Step-by-step explanation:

Good luck

What is the solution to the equation 4x + 2(x − 2) = 4x + x − 12? (1 point)

Question 13 options:

1)

−8

2)

−1

3)

1

4)

8

Answers

Answer:

It's   -8

Step-by-step explanation:

DISTRIBUTE :

4x + 2( x - 2 ) = 4x + x - 12

4x + 2x - 4 = 4x + x - 12

COMBINE LIKE TERMS :

4x + 2x - 4 = 4x + x - 12

6x - 4 = 4x + x - 12

COMBINE LIKE TERMS :

6x - 4 = 4x + x - 12

6x - 4 = 5x - 12

ADD 4 TO BOTH SIDES :

6x - 4 = 5x - 12

6x - 4 + 4 = 5x - 12 + 4

ADD THE NUMBERS/ SIMPLIFY :

6x = 5x - 8

SUBTRACT 5x FROM BOTH SIDES :

6x = 5x - 8

6x - 5x = 5x - 8 - 5x

SIMPLIFY :

x = -8

In ΔDEF, the measure of ∠F=90°, FD = 78 feet, and EF = 11 feet. Find the measure of ∠D to the nearest tenth of a degree.In ΔDEF, the measure of ∠F=90°, FD = 78 feet, and EF = 11 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answers

Answer:

8 degrees

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min. Find the number A(t) of pounds of salt in the tank at time t.

Answers

Answer:

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]

                                                             = 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]

⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12

Now,

Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]

                                    = [tex]e^{-2ln(100 - t)}[/tex]

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²

     = 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]

     = 12(100 - t) ([tex]\frac{t}{100}[/tex])

     = [tex]\frac{3t(100 - t)}{25}[/tex]

⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]

∴ we get

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

What is the y-intercept of the line?
1
1/2
-2
0

Answers

I might be wrong but Im pretty sure its A because thats where the line is going through the y axis.

Answer:its 1

Step-by-step explanation:

I need help look in screenshot plzz

Answers

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

Please do not send me a link to the answers I will have u reported but please answer this in feet

Answers

Answer:

24.5

Step-by-step explanation:

HELP WILL MARK BRAINLIEST IF RIGHT!!!

Answers

Answer:

im so sorry bt I dont know this one

Step-by-step explanation:

A veterinarian sampled 235 sheep from a large herd to obtain a 90% confidence interval for the mean weight of wool from the sheep. The interval was (23.7 lbs., 33.6 lbs.). If the veterinarian had used a 95% confidence interval instead, the confidence interval would be:_____.A. Wider and would have a smaller chance of missing the true mean. B. Narrower and would have a larger chance of missing the true mean. C. Narrower and would have a smaller chance of missing the true mean. D. Wider and would have a larger chance of missing the true mean. E. Wider but the chance of missing the true mean cannot be determined.

Answers

Answer:

A. Wider and would have a smaller chance of missing the true mean.

Step-by-step explanation:

Margin of error for a confidence interval:

The margin of error for a confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level, the higher the value of z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

95% confidence interval

Would be wider than the 90% confidence interval, due to the higher value of z.

Also, a x% confidence interval has a x% chance of having the true mean, and a (100-x)% probability of missing the true mean.

Then, a 95% confidence interval has a smaller(5%) chance of missing the true mean compared to the 90% confidence interval(10%). This means that the correct answer is given by option A.

What is the solution of the equation 4 1/5 + x = 4 3/5

Answers

[tex]4 \frac{1}{5} + x = 4 \frac{3}{5} \\ \\ x = 4 \frac{3}{5} - 4 \frac{1}{2} \\ \\ x = \frac{2}{5} [/tex]

Write a equation that can be used to find y, the number of gallons water used for showering for x minuets

Answers

Answer:

y = 6x

Step-by-step explanation:

To write an equation, find the unit rate or constant of proportionality (k).

Using a point on the line, (3, 18):

Constant of proportionality, k = y/x = 18/3

k = 6

To write an equation, substitute k = 6 into y = kx.

Thus:

y = 6x

a = 3 and c = 12 c/a =

Answers

Answer:

4, because 12/3 is 4 cause 3×4=12

Answer: 4

Step-by-step explanation: you need to divide 12 and 3 to get 4.

ooooooof i need some help; please explain

Answers

Answer:

just say i did it and that it got undone

Step-by-step explanation:

3. Write in fraction form: 15.43
(5 Points)
15 43/100
O 154 3/100
O 1543/100
O 15 43/10

Answers

Answer:

1543/100 is the answer

Hopes this helps:

Answer: 15 43/100

1. Split the number into its whole number component and decimal component.
15.43 = 15 + 0.43

2. For the decimal component, 0.43 is the same as 43/100.
43/100

3. Combine the whole number component with the fraction.
15 43/100

please answer the following questions!

Answers

Answer:

3 cm cube: 27

6 cm cube: 216

Step-by-step explanation:

First, you would need to find the volume of the 3 cm cube: 3*3*3=27

To build this cube you would need 27 1 cm cubes

For the 6 cm side cube you would need to do 6*6*6=216

So you would need 216 1 cm cubes

Hope this helps!

Can someone help fast to find a and c

Answers

Answer: 15 10

Step-by-step explanation:                        

On a youth soccer team 3 out of 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?​

Answers

Yes i also believe 30 is the answer

Divide round your answer to the nearest hundredth 5608.67÷7

Answers

Answer:

5608.67 ÷ 7 = 801.24

What is the some of the finite arithmetic series?​

Answers

Answer:

455

Step-by-step explanation:

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Which BEST describes the agricultural unrest that developed in the Westand Midwest in the late nineteenth century? * Why don't substitutions cause a change in the amino acid sequence of a protein Respuesta de estas ecuaciones (Los "{ }" y "[ ]" son "( )" simplemente estan asi para poder diferenciarlos A) [-3+(6-8)]-[40+(5.3-7)+20.2]= B)-4+[-2.6-1-(-3.4)]+(-5).(-3)+(-10)= C)-22.{-5+[8.3-(3.6-9)]}-(-2).(3)= D)-9-(-2+5).[-3+(-5)-(+2)+1]= E)40.{-12.[4+(-6).(-5)-15.3+12]}-2= F)-21.{-[-6.(7-3)]-(7.6-8.3)}-89= Please help if possible :) Luisa surveyed 25 students from her school and found that 1/5 of them had more than one hour of homework Please help i need the right answer fast will give brainliest if its correct answer Plz help will mark brainliest Which of the following statements would be supported by the timeline above? A. The United States used the atomic bombs on Japan in order to issue a warning to the Soviet Union. B. Japan surrendered immediately when faced with the harsh terms of the Potsdam Declaration. C. Imperial Japanese leaders knew they had lost the war after the fall of Okinawa to Allied forces. D. The Soviet declaration of war coupled with the atomic bombs caused the surrender of Japan. How many proportional relationships are shown in the coordinate plane below?Choose 1 answer:a. 0B. 1c.2d.3 . A building owner charges net rent of $20 in the first year, $21 in the second year, and $22 in the third year, but is providing six months of free rent in the first year as a concession. Using a 10 percent discount rate, what is the effective rent over the three years What pulled people to move to California in the mid 1850'? How did job specialization lead to a social inequality? I need help with fractions CAN SOMEONE PLEASE HELP ME How does a living a healthy lifestyle demonstrate a growth mindset? Provide examples and an explanation. 3. Write the inverse of the function g(x) =x-3/5 There was already fourty people there by the time we arrived. find the error (english) What is your favorite thing about being in high school? Why? What activities are you involved in? Do you think this helps your high school experience? A cable is 60 meters long.How long is it in decimeters Discuss the factors that account for changes in the American family