In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

Step-by-step explanation:

Cardboard needed to make tube =

Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube

given r = 2.25cm

L = 24cm

Cardboard needed =

[tex]2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2} [/tex]

The cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long will be 339 cm². Option B is correct.

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The cardboard is needed to make the inner tube for a roll of paper is found as;

Surface area of cardboard;

A=2πRL

A=2×3.14×(2.25)(24)

A=339 cm².

Hence,the cardboard is needed to make the inner tube for a roll of paper will be, 339 cm².

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The mean of the given numbers is 15.

The mean is the mathematical average of a group of integers.

The given numbers are 8, 14, 32, 6, and 15.

There are a total of 5 numbers.

The mean of the number is:

m = ( 8 + 14 + 32 + 6 + 15)/5

m = 15

Hence, the mean of the given numbers is 15.

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Answer:

1. She must collect 45 more skins.

Step-by-step explanation:

300/100 = 3

3 = 1%

50 x 3 + 150

35 x 3 + 105

150 - 105 + 45

Answer:

x <-6

Step-by-step explanation:

Answer:

okay dokey

Step-by-step explanation:

ok i answered thanks for the points

Answer:

-8,4

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

you could either add 125% and 24 to get 54

or you can figure out that 125% of 24 is 30 and add 24 and 30 together to get 54

Answer:

J

Step-by-step explanation:

Answer:

Pretty sure like 99% sure it's G. Hope this helps!

Answer:

my answer is negative 14/3.

Step-by-step explanation:

choice A hope that helps you if I'm wrong please tell me the right answer right away I can try another method.

Answer:

Step-by-step explanation:

In other to meet up with her target, Abigail would have to cover 4 miles every day.

Target = 37 miles

Covered miles = 17 miles

Number of miles left to cover :

Number of miles left = (37 - 17) miles = 20 miles

Number of miles to cover per day :

Hence, Abigail would have to cover 4 miles every day.

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Answer:

Step-by-step explanation:

P varies jointly as q and r

p=k* q r

150 =k *(18)(5)

150 = k*(90)

150/90 = k

5/3 = k

find q when p=345 and r =9

p=k* q r

345 = (5/3) * q *9

345 = 45 q / 3

1035 = 45 q

q=23

The required value of the q in the proportionality relationship is given as q = 23.

Given that,

p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.​

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

P varies jointly as q and r

p =k × q r  - - - - - (1)

150 =k × 18× 5

k = 5 / 3

Put k = 5/3, p = 345 and r = 9 in equation 1

345 = (5/3) × q ×9

q = 23

The required value of the q in the proportionality relationship is given as q = 23.

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Answer:

Step-by-step explanation:

Given,

Dimensions of the rectangular prism = 9ft, 12ft and 4ft

Therefore,

Surface area of the rectangular prism

= 2( lb + bh + lh)

[tex] = 2(12 \times 9 + 9 \times 4 + 12 \times 4) {ft}^{2} [/tex]

[tex] = 2(108 + 36 + 48) {ft}^{2} [/tex]

[tex] = 2 \times 192 {ft}^{2} [/tex]

[tex] = 384 {ft}^{2} [/tex]

Hence,

Surface area of rectangular prism is 384 sq. ft (Ans)

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

Answer:

x = 2√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 4

Adjacent = x

Apply trigonometric function, CAH:

Cos 30 = Adj/Hyp

Cos 30 = x/4

4 × Cos 30 = x

4 × √3/2 = x (cos 30 = √3/2)

2√3 = x

x = 2√3

Answer:

dab= 43 degrees

Step-by-step explanation:

this is because of a property in geometry (I dont remember the name) that says when your lines are parallel to each other with that line through the center like that, the degrees cross

Answer:

75 degrees, we know that already so look below lol.

Step-by-step explanation:

This triangle is an isosceles triangle, LP is equivalent to LQ, and angles LQP and LPQ are also equivalent. We understand that PLQ is equal to 30 degrees, since its complementary to triangle LQM.

180 - 30 = 150

150/2 = 75.

Have a nice day, fam. Spread The Love. Thanks for the opportunity.

Answer:

[tex]16x+3xy-y^{2} +3y[/tex]

Step-by-step explanation:

(2x+y)(5x-y+3)=

10x-2xy+6x+5xy-y^(2)+3y=

16x+3xy-y^(2)+3y

Answer:

Step-by-step explanation:

well just go throught the factors as far as you can ik from my personal mindset that 14*14= 196 so if i go bk and  calculate 13*13=169 which means its gonna be in between 13 and 14. so to figure this out we have to write it out. so we can try 13.5*13.5=182.25 so we have to go higher  13.89*13.89=192.9321 which means it has to be 13.89 rounded to the nearest hundreth.

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

Answer:

Point N

Step-by-step explanation:

Answer:

The answer is 7x

Step-by-step explanation:

The x is the coefficent and every x has a coefficent  even if it doesn't have  number because the coefficent   represent how many x's there are so it is one x plus 6 x and that equal seven x. The x can be anything but one of something plus 6 equals 7.

Answer:

6.4

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0  

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12 , x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,  x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√ 5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√ 5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

Answer:

3.6,I dont know if I'm right but I'm pretty sure