Mathematics College

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

Answers

Answer 1

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

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If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of the substance will be present after 6 yr?

Answers

It would be 48 bc if you add it all up and subtract it and add again and multiply and divide and multiply within a and the substance of present after 6 yr you will see that i have wasted your time and that is not the answer

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3x + 5 ≤ -13

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Answer:

x <-6

Step-by-step explanation:

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Anya bought some cans of paint. She used 9 of them to
paint the house and had 23 left. Write an equation, that
when solved, will tell how many cans of paint, p, that Anya
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Answers

equation would be 23 plus 9 equals 32 or p, the number of cans she bought

what is the square root of 41 rounded to the tenths place?
6.4
6.5
6.403
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Answers

Answer:

6.4

Step-by-step explanation:

A local artisan makes handmade ceramic vases and bowls. Each vase takes 3 hours to make and each bowl takes 2 hours to make. He is limited to at most 30 hours of work time a week and would like to produce at least 12 items weekly.

Write a system of inequalities that represents the situation.
Group of answer choices

3v + 2b ≤ 30
3v + 2b ≥ 12

3v + 2b ≥30
v + b ≤ 12

2v + 3b ≤ 30
v + b ≥12

3v + 2b ≤ 30
v + b ≥ 12

Answers

3 = v
2 = b

3h+2h is less than or equal 30
v+b is greater than or equal to 12

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Which expression represents the lateral surface area of the cone?
8 cm
6 cm
10 cm
LA-xi
0 (x)(3 cm)(10 cm)
O (*)(6 cm)(8 cm)
O (*)(6 cm)(10 cm)
N

Answers

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

ext year, my age will be 125% more than it was when I got married. I got married when I was 24. How old will I be next year?

Answers

Answer:

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

Can someone help please ASAP

Answers

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

Will give brainliest

Find the surface area of the
rectangular prism.
4 ft.
12 ft.
9 ft.
[? ] sq ft.

Answers

Answer:

384

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)

About how much 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?
382 cm
339 cm?
679 cm
371 cm

Answers

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.

What is surface area ?

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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Answers

Answer:

Point N

Step-by-step explanation:

Point N
Full explanation.

THIS IS SEINCE TOPIC : ANIMALS!!! ( it doesn’t let me change the subject. )

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Answer:

Step-by-step explanation:

Answer:

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

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Answers

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.

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

Answers

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.

What is proportionality?

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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the other answer choice is 75

Answers

the answer is 15

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The mean of the given numbers is 15.

What is the mean?

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

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8 minus some number divided by 3 equals 6. Find the number

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B. 4

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D. 2/3

Answers

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.

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[0,∞)
[-∞,0)
(-∞,0)
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Answers

I think it is the third one

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Answers

Answer:

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Step-by-step explanation:

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1. Samir has collected 35% of the skins on Fortnite. If there are 300 total skins, how many more does he need to collect to be at 50%? Explain or show your work.
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Answers

Answer:

1. She must collect 45 more skins.

Step-by-step explanation:

300/100 = 3

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150 - 105 + 45

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Answers

the answer would be 13.89

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.

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

EG = 6.

thanks hope it helps.

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Answers

Answer:

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Step-by-step explanation:

Abigail wants to ride her bicycle 37 miles this week. She has already ridden 17 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal? Need help for delta math

Answers

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 :

Target - miles covered

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

Number of miles to cover per day :

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

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Answers

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

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(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

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(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!

100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!

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The two boats picked for the trip are the steamboat and the tall ship. Let us assume that we will take the steamboat going to the island, and then we will take the tall ship for the return trip. We will then relate the distances travelled by both ships to each other.

2. We know that the steamboat takes five hours to complete the trip. The tall ship takes more time, at ten hours to complete the trip. We do not have the exact speeds of the steamboat or of the tall ship, but we do know that the tall ship is 10 knots slower than the steamboat. We likewise do not know the exact distance travelled by either ship, but we do know that both travel the same distance. We want to find out how fast each boat travels. We expect the answers to be in knots, with a difference of 10.

3. We know that distance is equivalent to the product of speed of a boat multiplied by the time of travel. For the trip going to the island, we will use the steamboat. Let its speed be x knots (equivalent to x nautical miles per hour), and let the distance going to the island be d nautical miles. Given that the time takes is 5 hours, this means that d = 5x.

4. If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.

5. Similar to part 3: we will multiply speed by time to determine the distance from the island. From part 4, we have determined that the speed of the tall ship to be used in returning is (x - 10) knots. Meanwhile, the given in the problem says that the tall ship will take 10 hours to make the trip. Therefore the distance will be equal to d = 10(x - 10) = 10x - 100 nautical miles.

6. We can assume that the distance travelled going to the island is the same distance travelled coming back. Therefore, we can equate the formula for distance from part 3 for the steamboat, to the distance from part 5 for the tall ship.
5x = 10x - 100

7. Solving for x: 5x = 10x - 100
-5x = -100
x = 20
Since x is the speed of the steamboat, x = 20 means that the steamboat's speed is 20 knots.

8. We determined in part 4 that the speed of the second boat (in our case, the tall ship) is (x - 10) knots. Since we have calculated in part 7 that the steamboat travels at x = 20 knots, then the speed of the tall ship is (x - 10) = 20 - 10 = 10 knots.
THESE ARE JUST ANSWERS I FOUND ONLINE TO SEE IF THEY HELP YOU IF THEY DONT IM SORRY

find the length of the side x in simplest form with a rational denominator.
i need help understanding these type of questions pls

Answers

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

What is the answer for x+6x

Answers

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.

What is the length of FG?
(Picture of Question Below!)
I WILL GIVE OUT BRAINLIEST IF CORRECT!

A. 1.2
B. 3
C. 3.6
D. 4 (NOT 4)
E. 6

Answers

Answer:

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

What is the product of 2x + y and 5x – y + 3?

Answers

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

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