A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance

Answers

Answer 1

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044


Related Questions

What is the equation of the line that passes
through the points (8,7) and (-1, -9)?

Answers

Answer:

y = 16/9x - 7 2/9

Step-by-step explanation:

lmk if you want an explanation

Pleaseeee helpppp asappp

Answers

Answer:

14

Step-by-step explanation:

d/−7 ≤ −6 pls help :)

Answers

Answer:

D > -42

Step-by-step explanation:

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

[please put in correct order]

Answers

Answer:

(4,-4.5)

Step-by-step explanation:

4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).

Answers

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04

If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22

Answers

Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.



Which choice is similar to the figure shown?

Answers

Answer:

The parallelogram whose sides are 5 and 20  is similar

Step-by-step explanation:

The parallelogram whose sides are 5 and 20  is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.

 [tex]\frac{2}{5} = \frac{8}{20}[/tex]                 [tex]\frac{2}{4} \neq \frac{8}{18}[/tex]

 [tex]\frac{2}{5} =\frac{2}{5}[/tex]                   [tex]\frac{2}{4} \neq \frac{8}{4}[/tex]

5
9
(
F

32
)

The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

A

Step-by-step explanation:

BECAUSE ITS EZ

One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.​

Answers

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

What is 0.02349 written in standard form to 3 significant figures

Answers

[tex]\\ \sf\Rrightarrow 0.02349[/tex]

[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]

[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]

Option C is correct

[tex]0.002349 \\ estimate \: \: \: it \\ = 0.00235 \\ = 0.00235 \times 1000 \\ = 2.35 \\ therefore \\ 0.00235 \\ = 2.35 \times \frac{1}{1000} \\ = 2.35 \times {10}^{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a total of $10,287.20, what was the simple interest rate of the loan?
85.5%
1.4%
16.9%
14.5%

Answers

The answer would be b, or 1.4%.

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Mr. Miranda acquired $8,800 for a considerable length of time at basic interest to pay for another pool. On the off chance that Mr. Miranda paid the bank a sum of $10,287.20.

The simple interest rate of the loan will be given as,

10,287.20 = 8,800 + [(8,800 x r x 12) / (100 x 12)]

1,487.2 x 100 = 88r

r = (1487.2 / 88) x 100

r = 0.169 x 100

r = 16.9%

The simple interest rate of the loan will be 16.9%. Then the correct option is C.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH

Answers

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/14267250

PLSSSS HELPPPPPPOP
Solve each equation for the indicated variable
1) G = 6x , for x
2) U = 2x - 2 , for x
3) Z = m - x , for x
4) G = ca , for a
5) U = x - k , for x
6) G = c + x , for x
7) U = k/a , for a
8) g = xc , for x
9) 12 am = 4 , for a
10) -3 x + 2c = - 3 , for x
11) am = n + p , for a
12) U = ak/b , for a
13) a - c = d - r , for a
14) xm = np , for x

Answers

Answer:

Step-by-step explanation:

1) G = 6x , for x:                G/6

2) U = 2x - 2 , for x:          (1/2)U + 1

3) Z = m - x , for x:              m - Z

4) G = ca , for a:                   G/c

5) U = x - k , for x:                  U + k

6) G = c + x , for x:                G - c

7) U = k/a , for a:                    k/U

8) g = xc , for x:                     g/c

9) 12 am = 4 , for a:                 a = 1/(3m)

10) -3 x + 2c = - 3 , for x:         x = 1 +(2/3)c

11) am = n + p , for a:              (n+p)/m

12) U = ak/b , for a:                      U(b/k)

13) a - c = d - r , for a:                      a = d - r + c

14) xm = np , for x:                np/m

The square of the correlation coefficient gives a.An estimate of reliability b.An estimate of power c.The percentage of the variance attributed to error d.The percentage of the variance in the data that is accounted for by the independent variable.

Answers

Answer:

The coefficient of determination!

Step-by-step explanation:

It shows percentage variation in the target variable (y)y which is explained by all the predictor variables (X) together. It is always between 0 and 1. Hope this helps :)

How to solve y=4x+1 y=- x=-2

Answers

How do you you can actually is a graft it but the answers actually Y equals 4X plus one Y equals – X equals -2

what are all the numbers through 10 and 100 that are divisible by 6 and 9

Answers

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

help please I don't know what the answer could be ​

Answers

pretty sure it’s c but i don’t know

calculate average or arthmetic mean

Answers

Answer:

mean/average is calculated by adding all of the values and dividing by the number of values

ur welcome queen besitie slay

Algebra problem is in the picture attached. PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?

Answers

He would make 22
You welcome

Donald plays with his wood cubes and decides to make a pyramid

Answers

P3 = 10
10 + 5 = 15 = P4
15 + 6 = 21 = P5
21 + 7 = 28 = P6
28 + 8 = 36 = P7
36 + 9 = 45 = P8
45 + 10 = 55 = P9
55 + 11 = 66 = P10

Simplify fully
A)
X^7 / X^3


B)
Y^5 / Y^4

Answers

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Which of the following is a government retirement program that offers a tax incentive?
A. Roth IRA
B. Opt- out program
C. A 529 plan
D. Contribution matching

Answers

the correct answer is B!

If someone can ride a skateboard 2 miles in 10 minutes how many miles can still ride the skateboard and 1.5 miles

Answers

Answer:

7 and a half minutes. have a good one.

solve one step equation

-8 + x = 10

Answers

Answer:

x=18

Step-by-step explanation:

10-(-8)=18

x = 18 | Add 8 to -8 to cancel the negative and then add 10 to get 18. Therefore x = 18

2x^2=3x+10 completing the square

Answers

Answer:

[tex] x_{1} = \frac{ - \sqrt{89 + 3} }{4} [/tex]

[tex] x_{2} = \frac{ \sqrt{89 + 3} }{4} [/tex]

Step-by-step explanation:

1) Move the variable to the left

2) Divide both sides

3) Add the same value to both sides

4) Add 9/16 to the expression

5) Add 9/16 to the right-hand side

6) Recalculate then solve

Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?

Answers

Answer:

36 seconds

Step-by-step explanation:

30 / (5 x 60) = 0.01

0.01 hours = 0.6 minutes

0.6 minutes = 36 seconds

Answer:

10 minutes

Step-by-step explanation:

First, we need to convert hours to minutes. 5 x 60 = 300.

300 minutes for 30 miles.

Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)

300 divided by 30 = 10

30 divided by 30 = 1

So, it would take Jack 10 minutes to ride 1 mile.

Please answer this, The question is below............................................................................. .........

Answers

Answer:

Area of a parallelogram = Base times Height

Step-by-step explanation:

For this parallelogram, the value for Height is 5cm. So Area = Base x 5. If you are given the value for base then just multiply that by 5 and you get the area. Hope this helps :)

Marsha deposited ​$5,500 into a savings account 5 years ago. The simple interest rate is ​3%. How much money did earn in​ interest?
Substitute the values into the equation.
Interest​ : $_ x _ x _%

Answers

Answer:

5,500 × 30%

Step-by-step explanation:

165.00 in intrest

Estimate the line of best fit using two points on the line.

Answers

Answer:   i think it's b

Answer:

C.

Step-by-step explanation:

A and D are immediately wrong since the line is increasing.

Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run

40/5 is 8.

We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.

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