A random sample of n = 145 items are selected for measurement. Nothing is known about the distribution of measurements. Are the requirements for constricting a confidence interval for the population mean satisfied? None of these No It depends Not enough information No answer text provided. Yes

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

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The uppercase letter H has reflectional symmetry and does not have rotational symmetry or point symmetry.

The uppercase letter H has reflectional symmetry. Reflectional symmetry, also known as mirror symmetry, means that there is a line (axis) along which the shape can be divided into two equal halves that are mirror images of each other. In the case of the letter H, a vertical line passing through the center of the letter can be drawn as the axis of symmetry. When the letter H is folded along this line, the two halves perfectly match.

The letter H does not have rotational symmetry. Rotational symmetry refers to the property of a shape that remains unchanged when rotated by a certain angle around a central point. The letter H cannot be rotated by any angle and still retain its original form.

The letter H also does not have point symmetry, which is also known as radial symmetry or rotational-reflectional symmetry. Point symmetry occurs when a shape can be rotated by 180 degrees around a central point and still appear the same. The letter H does not exhibit this property as it does not have a central point around which it can be rotated and remain unchanged.

In summary, the uppercase letter H exhibits reflectional symmetry but does not possess rotational symmetry or point symmetry.

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Answer:

He will read 92 pages in an hour going by the current rate at which he reads

Step-by-step explanation:

The complete question is as follows;

Jamil found that he reads 1/5 of his 115 - page book in 1/4 of an hour. At this rate how many pages does he read in an hour

We proceed as follows;

If he reads 1/5 of 115 in 1/4 hour

1/5 of 115 pages refer to 1/5 * 115 = 23 pages

This means that he reads 23 pages in quarter of an hour

So in an hours the number of pages he will read will be 23 * 4 = 92 pages

A real-valued function defined on an interval with the property that its epigraph—the collection of points on or above the function's graph—is a convex set—is said to be convex. The challenge of minimizing convex functions over convex sets is the subject of the optimization discipline known as convex minimization.

A mathematical model whose needs are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming. When a linear function is subjected to various constraints, it is maximized or minimized using the mathematical modeling technique known as linear programming. In business planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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Answer:

Step-by-step explanation:

2x + 2y + 7a - y

2x + 1y + 7a Combine like terms

2x + y + 7a Multiply by 1

7a + 2x + y Rearrange terms

7a + 2x + y RESULTS!

HOPE IT HELPS!!!

Answer:

he faked too much

Step-by-step explanation:

The direct variation equation to represent the relationship between the number of tickets and the cost of the ticket is y = 8x.

A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Given:

56, 48, 40, 32, 24, 16, 8, 0, y

7, 6, 5, 4, 3, 2, 1, 0, x

Here, x is the number of tickets and y is the cost of the ticket

As you can see that the cost of each ticket is $8,

Then the equation will be,

y = 8x

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The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

Answer:

i think ur answer is c

Step-by-step explanation:

In both the U.S.A. and England, there are only two days of the year that share the same symbol: May 2 (5/2) and February 5 (5/2).

In the United States, the symbol 5/2 is interpreted as the 5th month and 2nd day, representing May 2. On the other hand, in England, 5/2 denotes the 5th day and 2nd month, indicating February 5. To determine how many days of the year have the same symbol in both countries, we need to find the dates that match.

In the U.S., there are 12 months, so there are 12 possible combinations with 5 as the month. However, only May 2 (5/2) coincides with the English interpretation.

In England, there are 31 days in January, so there is no match with the American format. However, in February, there are 28 days (or 29 in a leap year), and February 5 (5/2) aligns with the American interpretation.

Hence, there are only two days of the year that share the same symbol in both the U.S. and England: May 2 (5/2) and February 5 (5/2).

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Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

Answer:

.7

Step-by-step explanation:

Answer:

2.70/3=0.9

0.9x8=7.20

Answer is 3 - $7.20

Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

An equation is an expression used to show the relationship between two or more numbers and variables.

From the diagram:

∠2 + ∠4 = 180° (sum of angles in a straight line)

∠4 + 65 = 180

∠4 = 115°

b) ∠2 = ∠3 (vertically opposite angles)

∠3 = 65°

c) ∠3 = ∠7 (corresponding angles)

∠7 = 65°

The measure of ∠4, ∠3 and ∠7 are 115°, 65° and 65° respectively.

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Answer:

x = 8 degrees ; y= 12 degrees

Step-by-step explanation:

Answer:4.62x10^13

Step-by-step explanation:

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

Hope this helped!!

Answer:

A. 5r3 − 34r2 + 44r − 16

Step-by-step explanation:

The dimensions that will minimize the cost of the metal to manufacture the can are,

Radius = 4.08 cm

Height = 10.84 cm

To minimize the cost of the metal to manufacture the can, we need to minimize the surface area of the can. The surface area of a cylinder is given by

A = 2πrh + 2πr^2

where r is the radius of the cylinder, h is the height of the cylinder, and π is a constant equal to approximately 3.14159.

We are given that the can needs to hold 1.4 liters of oil. We can use this information to find the relationship between the radius and height of the cylinder. The volume of a cylinder is given by

V = πr^2h

Substituting the given volume of 1.4 liters (1400 cubic centimeters) and the constant π, we get

1400 = 3.14159r^2h

Solving for h, we get

h = 1400/(3.14159r^2)

Now we can substitute this expression for h in the formula for the surface area of the cylinder to get

A = 2πr(1400/(3.14159r^2)) + 2πr^2

Simplifying this expression, we get

A = (2800/πr) + 2πr^2

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero. Taking the derivative, we get

dA/dr = -2800/πr^2 + 4πr

Setting this equal to zero and solving for r, we get:

-2800/πr^2 + 4πr = 0

2800/πr^2 = 4πr

r^3 = 700/π

r ≈ 4.08 cm

Now we can use the formula for h in terms of r to find the corresponding value of h

h = 1400/(3.14159(4.08)^2) ≈ 10.84 cm

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Answer:

206.19cm^2

Step-by-step explanation:

area of the square=19×19

area of the square=361cm^2

area of circle= r^2×π

13.44 is the radius

13.44^2×π=567.189504= area of circle

567.189504cm^2-361cm^2=206.189504

206.189504 to nearest hundredth= 206.19cm^2

Answer:

3g+15

Step-by-step explanation:

Multiply using the distributive property.

It is difficult to accurately predict the number of days a favorite radio or TV station will correctly forecast whether it will be cloudy over the next 30 days.

Forecasting weather accurately is a challenging task, and even the most advanced weather models are subject to errors. The accuracy of a station's forecasts depends on various factors such as the quality of their data sources, the skill and experience of their forecasters, and the complexity of the weather patterns in the region. Therefore, it is not possible to determine the exact number of days a station will make correct forecasts about whether it will be cloudy or not. However, it is important to note that modern weather forecasting has come a long way in recent years, and many stations now provide fairly accurate predictions. It is always a good idea to consult multiple sources and use personal judgment when making plans based on weather forecasts.

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Based on the diagram which shows the ratio of winning spaces to non-winning spaces, the missing values in the table are;

Total spaces = 5 + 6

= 11

Find total spaces if winning spaces is 10

5 : 6 = 10 : x

5/6 = 10/x

5×x = 10×6

5x = 60

x = 60/5

x = 12

Non-winning spaces = 12

Total spaces = 10 + 12

= 22

If total spaces = 33

Winning spaces ;

5 / 11 = x/33

5 × 33 = 11×x

165 = 11x

x = 165/11

x = 15

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The interval in which the velocity is zero in the graph is from 3.0 to 4.0 hours. Therefore, the correct option is C, "3.0 to

4.0 hours."

The velocity of the object is zero if the position of the object does not change with time. If the position of the object

marked on the position-time graph is the same forming a straight line on a graph between a time interval, then the

velocity of the object during that time interval is zero.

The object has zero velocity when it does not displace with time. The velocity of the object is zero when there is no

displacement of the object. The position of the object between two different time intervals remains the same. The

velocity is given by the relation v= (Δx/Δt)= (x 2 -x 1 )/ (t 2 -t 1)

From the graph provided, we see that the velocity is zero in the interval from 3.0 to 4.0 hours.

At this time, the velocity of the object is not changing, hence, it is zero.

Therefore, the correct option is C, "3.0 to 4.0 hours."

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Answer:

B

Step-by-step explanation:

we rule out all other 3 by the simple fact that the side is 9

The diagram shows statements to prove that both triangles are congruent.

Hence;

Step 1 showed two sides that are congruent for both triangles

Step 2 showed two angles that are congruent

Step 3 showed two sides that are congruent

Therefore, the triangles are congruent by the side-angle-side theorem

Answer:

4

Step-by-step explanation:

Brainly deleted my first answer

Answer:

Step-by-step solution:

Answer:

1.9 x 10 to the 7th power

Step-by-step explanation:

1.9 x 10 to the 7th power