use normal approximation to estimate the probability of passing a true/false test of 60 questions if the minimum passing grade is 60% and all responses are random guesses.

Answer:

The two cones are aligned on edge to edge so that the total volume of the hourglass becomes 2∗13πr2h

Step-by-step explanation:

a) When the sand has y units left in the upper cone the height of the cone becomes y, the radius remains 1cm.Now let's take the right triangle In the upper coneAnd by similar triangles property we found that the radius of the cone in which the amount of sand is left is y3 unitsNow the volume of the sand in the remaining part of the upper cone isπy32y which gives πy327Now if we apply the same similar triangle property with the cone in the below we find that the radius of the part it has filled up remains the same as y3unitsSo the volume it has filled is (3-y) from the top cone which says that the volume filled on the bottom cone has a height of (3-y)So therefore the volume of the frustum which it has filled up isπ3h(R2+r2+rR) {Is the volume of the frustum with two radii r and R with a height h}i.eπ3(3−y)(12+(y/3)2+(y/3))So now the total volume of the hourglass in terms of y is π3(3−y)(12+(y/3)2+(y/3))+πy327b) The next question tells us that when the height of the sand in the below cone reaches up a height of h centimetreswhich is exactly 3-y in the previous questionso substituting y = h-3 in the previous question we'll find the volume of the hourglass in terms of hπ(h−3)327+π3(6−h)(12+((h−3)/3)2+((h−3)/3)) .c) Total volume of the hourglass isV=V1+V2⇒3π4=πy327+π−π27(3−h)3Putting h=1We have the value of y as⇒3π4=π27y3+π+π278..............(1)⇒y=(54)13Differentiating the first equation with respect to t we have0=π9y2dydt+π9(3−h)2dhdtPutting values that dydt=−0.14inches/sec at h =1 and for ⇒y=(54)13We have0=π9(54)132∗(−0.14)+π922dhdt⇒0.1956π9=4π9dhdt⇒dhdt=0.19564⇒dhdt=0.0489

by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  (0, 2), (5, 5)

Step-by-step explanation:

The w-intercept is the constant in the equation, so you know immediately that (x, w) = (0, 2) is one point on your graph.

Since the value of x is being multiplied by 3/5, it is convenient to choose an x-value that is a multiple of 5. When x=5, we have ...

  w(5) = (3/5)(5) +2 = 3+2 = 5

So, (x, w) = (5, 5) is another point on your graph.

Answer:

Step-by-step explanation:

In ratio and proportion , when we compare two ratios or we can say two fractions then they are said to be equivalent when both of them are same.

Answer:

-2

76

14

36

12

-16

18

56

22

Step-by-step explanation:

skip count by 2 until the bar stops

Answer:

I think it's false

Step-by-step explanation:

Answer:

I say p because in order to see how many dollars she pays, she needs to find how gallons are there.

Step-by-step explanation:

Correct me if I am wrong

If the Wilson family drove 472 miles in 8 hours. The family that traveled at the higher rate of speed  and  rate is: D: Wilson; 59 mi/h

Using this formula to find the speed

Speed = Distance /Time

Let plug in the formula

Rate of speed for Gonzalez family

Rate of speed  = 342 ÷ 6

Rate of speed = 57 mph

Rate of speed  for Wilson family

Rate of speed = 472 ÷ 8

Rate of speed = 59 mph

Therefore the correct option is D.

Learn more about rate of speed here:https://brainly.com/question/26046491

#SPJ1

(a) For Rolling a dice the outcomes and probabilities are,

Outcomes = {1, 2, 3, 4, 5, 6}

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) For Flipping a coin the outcomes and probabilities are,

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

(a) Here the event is Rolling a dice.

So the possible outcomes under the event rolling a dice are each of the face values on the dice.

So outcomes are = {1, 2, 3, 4, 5, 6}

Now, the probabilities are,

Probability to get 1 on the face = p(1) = 1/6

Probability to get 2 on the face = p(1) = 1/6

Probability to get 3 on the face = p(1) = 1/6

Probability to get 4 on the face = p(1) = 1/6

Probability to get 5 on the face = p(1) = 1/6

Probability to get 6 on the face = p(1) = 1/6

(b) Here the event is Flipping a coin.

So the possible outcomes under this event can be getting a Head or getting a Tail.

Outcomes = {Head, Tail}

Probability of getting Head = 1/2

Probability of getting Tail = 1/2

To know more about Probabilities here

https://brainly.com/question/31601542

#SPJ4

Answer:

Area = 48m²

Step-by-step explanation:

S(ACB) = AB × AC/2

S(ACB) = 8 × 12/2 m²

S(ACB) = 48m²

Hope this helps and have a nice day

The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

For more such questions on probability

https://brainly.com/question/30390037

#SPJ8

False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.

The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.

The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.

Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.

Learn more about higher here: https://brainly.com/question/30123448

#SPJ11

Answer:

The height of the skyscraper is 1,459 ft. Choice c

Step-by-step explanation:

Right Triangles

The ground and the building form a right angle (90°). In the right triangles, the trigonometric ratios are satisfied. To solve the problem we use the tangent ratio, defined as:

\(\displaystyle \tan\theta=\frac{\text{opposite side}}{\text{adjacent side}}\)

The angle of elevation from which the skyscraper can be seen is θ=12°. The opposite side of this angle is the height of the skyscraper H and the adjacent side is the distance from the ground X=1.3 miles.

Converting miles to feet: X=1.3*5,280 = 6,864 ft

Applying the tangent ratio to the angle of elevation:

\(\displaystyle \tan 12^\circ=\frac{H}{6,864}\)

Solving for H:

\(H=6,864\tan 12^\circ\)

Calculating:

H = 1,459 ft

The height of the skyscraper is 1,459 ft. Choice c

Answer:

(2,6)

Step-by-step explanation:

substitute the given value of x into the equation

-4 (-4 + y ) +2 = -y

solve for y

y=6

substitute the value of y into x= -4 + y

x= -4 + 6=2

x=2

y=6

(2,6)

Hi!

Your answer is:

x=2 and y=6

I hope this helps!

Feel free to mark brainliest!

Answer:

The answer is (x + 10)² + (y – 7)² = (4)².

Step-by-step explanation:

Here, a = (-10), b = 7 and r = 4.

So,

(x – a)² + (y – b)² = r²

[x – (-10)]² + (y – 7)² = (4)²

(x + 10)² + (y – 7)² = (4)²

Thus, The standard equation of the circle with the centre of (-10, 7) and a radius of 4 is

(x + 10)² + (y – 7)² = (4)².

Answer:

p = \(\frac{c+2}{3}\)

Step-by-step explanation:

Given

3p + 12 = c + 14 ( subtract 12 from both sides )

3p = c + 2 ( divide both sides by 3 )

p = \(\frac{c+2}{3}\)

Answer:

4x²+12x+9

Step-by-step explanation:

1.   2x times 2x = 4x²

2.  2x times 3 = 12x

3.  3 x 3 = 9   or  3² also equals 9

the frog will be 4 inches long

There are 8 Nickels and 12 Quarters.

Now, According to the question:

Let's know:

What are Decimals?

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

Here, 34 is a whole number part and 5 is the fractional part.

Jennica has a total of $3.40 in nickels

and, she has 20 coins

For easier calculation, Take the decimals out.

N+Q=20

Q=20-N

5N+25(20-N)=340

5N+500-25N=340

-20N=-160

-20N/-20=-160/-20

N=8

8+Q=20

Q = 12

Learn more about Decimals Point at:

https://brainly.com/question/20753759

#SPJ4

The graph of the function g(x) = −|x + 3| − 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

g(x) = −|x + 3| − 2

The above expression is an absolute value function that hs the following properties

Next, we plot the graph

See attachment for the graph of the function

Read more about graph at

https://brainly.com/question/30390162

#SPJ1

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

Answer:

6 trips

Step-by-step explanation:

12 divided by 4 equals 3

18 divided by 3 equal 6

she will have to take six trips to drive 18 kilometers.

Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

The question pertains to a population of a town, which is divided into three age classes: people less than or equal to 20 years old, people between 20 and 40 years old, and people over 40 years old.

After each period of 20 years, there are 80% people of the first age class still alive, 73% people of the second age class still alive, and 54% people of the third age still alive. The average birth rate of people in the first age class during this period is 1.45; for the second age class is 1.46, and for the third age class is 0.59.

At present, the town has 10,932, 11,087, and 14,878 people in the three age classes, respectively.  Let's start by calculating the number of people in each age class, after the next 20 years.For the first age class: the population will increase by 1.45 × 0.80 = 1.16 times. Therefore, there will be 1.16 × 10,932 = 12,676 people.For the second age class: the population will increase by 1.46 × 0.73 = 1.0658 times. Therefore, there will be 1.0658 × 11,087 = 11,824 people.For the third age class: the population will increase by 0.59 × 0.54 = 0.3186 times. Therefore, there will be 0.3186 × 14,878 = 4,742 people.After 40 years, we have to repeat this process, but now we have to start with the populations that we have just calculated. This is summarized in the following table:Age class Initial population in 2020 Population in 2040 Population in 2060 Population in 2080 Less than or equal to 20 years old 10,932 12,676 14,684 17,019 Between 20 and 40 years old 11,087 11,824 12,609 13,453 Greater than 40 years old 14,878 4,742 1,509 480We know that the number of people in each age class in 2080 is equal to the sum of people in the same age class in 2040 (that we just calculated) and the number of people that survived from the previous 20 years. Therefore, we can complete the table as follows:Age class Population in 2080 Number of people alive after 20 years alive after 40 years alive after 60 years Less than or equal to 20 years old 17,019 12,676 9,348 6,886 Between 20 and 40 years old 13,453 11,824 10,510 9,341 Greater than 40 years old 480 1,509 790 428Now, we can easily calculate the population in the town after each 20 years. In particular, after 20 years, we will have:10,932 + 1.16 × 10,932 + 1.0658 × 11,087 + 0.3186 × 14,878 = 10,932 + 12,540.72 + 11,822.24 + 4,740.59 = 39,036After 40 years, we will have:17,019 + 12,676 + 10,510 + 790 = 41,995After 60 years, we will have:6,886 + 9,341 + 428 = 16,655Therefore, the town's population will increase from 10,932 to 39,036 in the next 20 years, then to 41,995 in the following 20 years, and then to 16,655 in the final 20 years.

Know more about divided into three age classes here:

https://brainly.com/question/27031218

#SPJ11