Confused on this please help

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

(50×20) - (1×20)

Step-by-step explanation:

there is 50 twenties (20) so its 50 × 20 and 1 twenty is 20

Answer: 3.25

Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25

Let me know if I was helpful or not!

Answer:

The square root of 16=4, 4x2=8, x2=8.

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.

The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the  cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00

The difference in purchases =  cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory

The difference in purchases = $16.50 - $15.00 = $1.50

This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.

Answer:

i think its B

Step-by-step explanation:

Complete Question

The  complete question is shown on the first uploaded image

Answer:

a

[tex]\^ p_1 =  0.8102 [/tex]

b

[tex]\^ p_2 =  0.6904 [/tex]

c

[tex]\^ p_3 =  0.3701 [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  743

    The number that said social media makes them feel more connected  to what is going on in their friends' lives is  k =  602

   The number that said social  media helps them interact with a more diverse group of people is  y =  513

   The  number that said feel pressure to post content that will get a lot of likes and comments is  c  =  275

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media makes them feel more connected to what is going on in their friends' lives is mathematically represented as

        [tex]\^ p_1 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_1 =  \frac{602}{743 }[/tex]\

=>      [tex]\^ p_1 =  0.8102 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17  who say social media helps them interact with a more diverse group of people is mathematically represented as

        [tex]\^ p_2 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_2 =  \frac{513}{743 }[/tex]\

=>      [tex]\^ p_2 =  0.6904 [/tex]

Generally a point estimate of the proportion of teens aged 13 to 17   who feel pressure to post content that will get a lot of likes and comments is mathematically represented as

        [tex]\^ p_3 =  \frac{k}{n}[/tex]

=>      [tex]\^ p_3 =  \frac{275}{743 }[/tex]

=>      [tex]\^ p_3 =  0.3701 [/tex]

The point estimate of the teens aged to who say social media makes them feel more connected is 0.8102.

The point estimate of the proportion of teens aged to who say social media makes them feel more connected to what is going on in their friends' lives will be:

= Number of teens / Sample size

= 602/743

=™0.8102

The point estimate of the proportion of teens aged to who say social media helps them interact with a more diverse group of people will be:

= 513/743

= 0.6904

The point estimate of the proportion of teens aged to who feel pressure to post content that will get a lot of likes and comments will be:

= 275/743

= 0.3701

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Answer:

62 degrees

Step-by-step explanation:

If 167 degrees is the whole angle measurement, then you take 167-105.

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

Answer:

1:11

Step-by-step explanation:

4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.

Answer:4:40

Step-by-step explanation:

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

The probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

Here,

Since the length of the pipes follows a uniform distribution on the interval [10 feet, 10.57 feet], the probability density function (PDF) for each pipe is:

f(x) = 1 / (10.57 - 10) = 1 / 0.57 ≈ 1.7544 for 10 ≤ x ≤ 10.57

Since the lengths of the pipes are independent, the joint probability density function (PDF) of X and Y is the product of their individual PDFs:

f(x, y) = f(x) * f(y) = 1.7544 * 1.7544 = 3.0805 for 10 ≤ x ≤ 10.57 and 10 ≤ y ≤ 10.57

Now, we want to find the probability that the second pipe (Y) is more than 0.11 feet longer than the first pipe (X).

Mathematically, we want to find P(Y > X + 0.11).

Let's set up the integral to calculate this probability:

P(Y > X + 0.11) = ∬[10 ≤ x ≤ 10.57] [y > x + 0.11] f(x, y) dx dy

We integrate with respect to x first and then with respect to y:

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] ∫[10 ≤ x ≤ y - 0.11] f(x, y) dx dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [∫[10 ≤ x ≤ y - 0.11] 3.0805 dx] dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (x)] from x = 10 to x = y - 0.11 dy

P(Y > X + 0.11) = ∫[10 ≤ y ≤ 10.57] [3.0805 * (y - (10 - 0.11))] dy

P(Y > X + 0.11) = 3.0805 * ∫[10 ≤ y ≤ 10.57] (y - 9.89) dy

P(Y > X + 0.11) = 3.0805 * [(y² / 2) - 9.89y] from y = 10 to y = 10.57

P(Y > X + 0.11) = 3.0805 * [((10.57)² / 2) - 9.89 * 10.57 - (((10)² / 2) - 9.89 * 10)]

P(Y > X + 0.11) = 3.0805 * [((111.7249 / 2) - 104.9135 - (50 / 2 - 98.9)]

P(Y > X + 0.11) = 3.0805 * [(55.86245 - 104.9135 + 49.9)]

P(Y > X + 0.11) = 3.0805 * [0.84895]

P(Y > X + 0.11) ≈ 2.6092

Therefore, the probability that the second pipe (with length Y) is more than 0.11 feet longer than the first pipe (with length X) is approximately 2.6092%.

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Answer

I would say the 3rd one.

Step-by-step explanation:

I do not really remember this but I am in 8th grade math to (Algebra)

Answer:

89

eighty-nine

Answer:

the anwser is 24 please mark brianliest

Answer:

The answer is 24.

Answer

Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.

Answer:

0.01?

Step-by-step explanation:

Answer: $13.50

Step-by-step explanation:

Answer:

$13.5

Step-by-step explanation:

Everything you do is multiply 75 by 0.18 ( 0.18 represents 18%)

which gives you 13.5, so the tip would be $13.50

Answer: bsf google

Step-by-step explanation: go to google look it up and find the answer

Answer:

x-3

Step-by-step explanation:

It's x-3 because if you put 12-3 it will be 9 but if you add x+4 it will be 16

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.

Age of Bard× Age of Francis=154

Let's split 3x into +14x and -11x

So we aren't taking ages in negetive

As we know in starting we have take x as Financis age

We know Brad is 3 years older than Francis

With regards!

✧Dull Star✧

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Anwers:

22    is the answer

Ants

Step-by-step explanation:

Answer:

the answer is C. 78

Step-by-step explanation:

First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.

Answer:

$905

Step-by-step explanation:

$50×h+55=?

h=17 and you pay so $50×h

so $50×h=850

so now that you calculated the cost of the labor add the $55 dollar service fee

850+55=905

Answer:

A. From hour 0 to hour 5

Step-by-step explanation:

For all Plato users

Interval of the temperature decreasing is from hour 0 to hour 5.

an interval is defined as a group of numbers which includes all numbers between the beginning and the end.

According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.

So the interval of the temperature decreasing is from hour 0 to hour 5.

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Answer:

current market price:

PV of face value = $1,000 / (1 + 3.5%)²⁶ = $

PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07

current market price = $408.84 + $760.07 = $1,168.91

price in 1 year:

PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96

PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63

market price = $437.96 + $722.63 = $1,160.59

price in 3 years:

PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57

PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56

market price = $502.57+ $639.56 = $1,142.13

price in 8 years:

PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92

PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25

market price = $708.92 + $374.25 = $1,083.17

price in 12 years:

PV of face value = $1,000 / (1 + 3.5%)² = $933.51

PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49

market price = $933.51 + $85.49 = $1,019

price in 13 years:

market price = $1,000 + $45 = $1,045

current market price:

PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40

PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13

current market price = $318.40 + $530.13 = $847.53

price in 1 year:

PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70

PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34

market price = $347.70 + $507.34 = $855.04

price in 3 years:

PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64

PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28

market price = $414.64+ $455.28 = $869.92

price in 8 years:

PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93

PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95

market price = $643.93 + $276.95 = $920.88

price in 12 years:

PV of face value = $1,000 / (1 + 4.5%)² = $915.73

PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54

market price = $915.73 + $65.54 = $981.27

price in 13 years:

market price = $1,000 + $35 = $1,035