When the large prism was reduced, the surface area changed by a factor of:

Answer:

C. 14

Step-by-step explanation:

We are given the function:

h(x) = 3x-4

To find h(6), substitute x = 6 in h(x).

h(6) = 3(6)-4

h(6) = 18-4

h(6) = 14

The fundamental niche is the entire niche that an organism is capable of occupying if there was no competition. whereas, the realized niche is the niche occupied by the organism in the presence of competitors.

What is a niche?

This refers to the role an organism plays in an ecosystem/community.

Types of  niches

.The fundamental niche: This refers to the organism that is capable of occupying if there were no competitors.

. The realized niche:  This refers to organisms that exist in the presence of competitors. They are perceived to be less effective due to the presence of competitors.

Learn more about niches on

https://brainly.com/question/15902785

#SPJ1

If the test gives positive results for 95% of those having disease and correctly gives negative results for 90% of those who don't have disease and the incidence of the disease is 1% then the chance of having disease is 0.0105.

Given that a test for a disease correctly gives positive results for 95% of those having the disease and correctly gives negative results for 90% of those who don't have the disease.

We have to calculate the chance of having disease.

Probability that test is correct in determining the disease when person is suffering from it is 0.95.

Probability that test is not correct in determining the disease when person is suffering from it is 1-0.95=0.05.

Probability that test is correct in determining that the person is not suffering from disease  when person is not suffering from it is 0.90.

Probability that test is not correct in determining that the person is not suffering from disease  when person is not suffering from it is 1-0.9=0.10.

The chance of having disease is equal to incidence of disease multiplied by probabilities that the test has corectly determined disease when personis suffering from it and when test is not able to determine the disease when person is suffering from it.

Chance=0.01*0.95+0.01*0.10

=0.0095+0.001

=0.0105.

Hence the chance of having disease is 0.0105.

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

Answer:

Step-by-step explanation:

The value of A is 4

Using a trigonometric relation we will see that the value of x is 81.2°

We can see that we have a right triangle, and the angle x is the one that is on the top vertex.

We can use any trigonometric relation to find the value of x, for example we can use:

sin(x) = (opposite cathetus)/(hypotenuse)

Where we can see that:

opposite cathetus = 84

hypotenuse = 85

Then we will get:

sin(x) = 84/85

x = Asin(84/85) = 81.2°

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

Answer: 675

Step-by-step explanation:

(45 x 1500) divided by 100 = 675

Hence, the answer is 675.

Please make my answer a  brainliest answer and have a good day :)

If the total sales are $1,500 and the sixth grade class receives 45% of the proceeds, then the class earns
\(45/100 * $1,500 = $ < < 45/100*1500=675 > > 675\)
from the candy sale. Therefore, the sixth grade class earns $675 from the sale.

Answer:

True

Step-by-step explanation:

The statement is TRUE and is the basic definition of a circle

Answer: 8

Step-by-step explanation:

(-11/2x + 3) -2(-11/4x - 5/2)

Distribute

-11/2x + 3 + 22/4x + 10/2

Simplify 22/4x and 10/2

-11/2x + 3 + 11/2x + 5

Cancel out 11/2x and -11/2x

3 + 5

Add 3 and 5

8

Answer:

8

Step-by-step explanation:

(-11/2 x + 3) -2(-11/4 x - 5/2)

Distribute

-11/2 x + 3 +11/2 x + 5

Combine like terms

-11/2 x +11/2 x + 5+3

8

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

In the given question,

If you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have to find how many ways can we choose the officers, if individual members may hold more than one office.

We have total 25 members.

Their have total 3 position president, secretary, and treasurer.

When the one position of president filled then their was left 24 member for the secretary position.

When the one position of secretary filled then their was left 23 member for the  treasurer position.

So the possible ways to fill the position is find by multiplying the 25,24 and 23. So

Possible ways=25*24*23

Possible ways=13,800

Hence, if you have 25 members, and wishes to pick a president, secretary, and treasurer, then we have 13,800 ways to choose the officers, if individual members may hold more than one office.

To learn more about probability link is here

brainly.com/question/14257619

#SPJ4

Answer:

The height of the tree to the nearest foot is 75.

Step-by-step explanation:

The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.

tangent = opposite/adjacent

\(\frac{tan(59)}{1} = \frac{h}{45}\)

h = tan(59) * 45

h ≈ 74.89

To the nearest foot, 74.89 is 75 ft.

The pdf (probability density function) of any particular measurement error X is a normal distribution with a mean of zero and a variance of σ^2.

The assumption of E(X) = 0 means that the expected value of the error is zero, indicating that the errors in measurements tend to cancel out over multiple trials. The assumption of a normal distribution implies that the errors are randomly and normally distributed around the true value, with most errors falling close to the mean (zero in this case) and fewer errors occurring farther away. The pdf of the normal distribution is a bell-shaped curve, with the majority of measurements falling within one standard deviation of the mean, and the probability decreasing as the distance from the mean increases.

For more questions like Normal Distribution visit the link below:

https://brainly.com/question/1581208

#SPJ11

I'm not sure if you dont know maybe put C

The probability that the committee contains at least one man is 1 - (probability of selecting only women).

To find the probability, we need to determine the total number of possible committee combinations and the number of combinations with at least one man. There are 9 people (6 women + 3 men) to choose from, and we want to choose a committee of 4.

Total combinations = C(9,4) = 9! / (4!(9-4)!) = 126
Combinations of only women = C(6,4) = 6! / (4!(6-4)!) = 15

To find the probability of at least one man, we'll subtract the probability of selecting only women from 1:

P(at least one man) = 1 - (15/126) = 1 - 0.119 = 0.881

The probability that the committee contains at least one man is approximately 0.881, or 88.1%.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

4 people in each car

Step-by-step explanation:

12 divided by 3

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

Learn more about the angle bisector on:

https://brainly.com/question/24334771

#SPJ1

Answer:

4:7

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

P =2 (l+w)]

P = 2 (5+8)

P= 2 (13)

P= 26

Therefore, From the above equations, we can see that sin(x) is odd, and cos(x) is even. To summarize:
sin(-x) = -sin(x) (odd function), cos(-x) = cos(x) (even function)

To understand the even-odd properties of sinusoidal functions, let's first recall that an even function satisfies f(-x) = f(x) and an odd function satisfies f(-x) = -f(x).
Now, consider the sinusoidal functions f(x) = sin(x) and g(x) = cos(x). We can use the addition and subtraction formulas for sine and cosine to determine their even-odd properties.
The addition and subtraction formulas are as follows:
1. sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
2. cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
Let a = x and b = -x. Then, we get:
1. sin(x - x) = sin(x)cos(-x) + cos(x)sin(-x)
2. cos(x - x) = cos(x)cos(-x) - sin(x)sin(-x)
Since sin(-x) = -sin(x) and cos(-x) = cos(x), we can simplify:
1. sin(0) = sin(x)cos(x) - cos(x)sin(x) => 0 = 0
2. cos(0) = cos(x)cos(x) + sin(x)sin(x) => 1 = cos^2(x) + sin^2(x)

Therefore, From the above equations, we can see that sin(x) is odd, and cos(x) is even. To summarize:
sin(-x) = -sin(x) (odd function), cos(-x) = cos(x) (even function)

To know more about equations visit:

https://brainly.com/question/22688504

#SPJ11

Referring to exhibit 8-2, we can see that the sample size is 400, and the population standard deviation is 10.

Based on these values, we can use the formula for the margin of error:
Margin of error = Z * (σ/√n)
Where Z is the Z-score for the desired level of confidence (in this case, 0.95), σ is the population standard deviation, and n is the sample size. Using a Z-score of 1.96 (which corresponds to a 0.95 confidence level), we can plug in the values:
Margin of error = 1.96 * (10/√400)
Simplifying this equation, we get:
Margin of error = 1.96 * (10/20) = 0.98
Therefore, with a 0.95 probability, the sample mean will provide a margin of error of approximately 0.98.
Based on Exhibit 8-2, with a 0.95 probability, the sample mean will provide a margin of error of "X" (please insert the value provided in the exhibit). This means that we can be 95% confident that the true population mean lies within the sample mean ± X.

To know more about standard deviation visit:

https://brainly.com/question/29115611

#SPJ11

Answer:

Beth is five years old.

Step-by-step:

Beth + Julio + Gerald + Debra = 38

B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38

Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.

Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38

B +  (B -2) + (2B) + (4B) = 38

Simplfy the like terms.

8B - 2 = 38

Add 2 on both sides.

8B = 38 + 2

8B = 40

Divide both sides by 8 to isolate the variable.

8/8 B = 40/8

B = 5

Answer:

3(5) + 5(5) + 4y = 60

15 + 25 + 4y = 60

40 + 4y = 60

4y = 20, so y = 5, and x = 5 + 3 = 8.

Answer:

\(20943.96 ft^3\)

Step-by-step explanation:

The silo is shaped as a cylinder with a hemisphere on top of it.

We need to find the volume of the shape.

The volume of a cylinder is given as:

\(V = \pi r^2h\)

where r = radius

h = height

The volume of a hemisphere is given as:

\(V = \frac{2}{3} \pi r^3\)

where r = radius

Therefore, the joint volume of both shapes is:

\(V = \pi r^2h + \frac{2}{3} \pi r^3\)

The height of the silo is 60 and the diameter is 20.

This means that the radius is 10.

The cylindrical part of the silo and the hemispherical part have the same radius, 10.

The volume of the silo is:

\(V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3\)

The volume of the silo is \(20943.96 ft^3\)

The value for the standard deviation which gives the highest position in the class distribution is s= 2.

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

On an exam with m = 52, you have a score of X = 56.

Using the formula z = (x- \(\mu\)) / \(\sigma\)

Computing z-scores for different standard deviation:

z= (56- 52)/ 2= 4/2 = 2

z= (56- 52)/ 4 = 4/4 = 1

z= (56- 520/ 8 = 4/8 = 0.5

So, The standard deviation with highest z-score gives the highest position in the distribution then

s= 2.

Learn more about Standard deviation here:

https://brainly.com/question/15078089

#SPJ1

The corresponding parts are:

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

To do this, we simply make use any of the following congruent theorems:

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

Read more about congruent theorems at

https://brainly.com/question/2102943

#SPJ1

Answer:

the cost of the bench in s $21

Answer:

75%

Step-by-step explanation:

80-20/80*100

60/80*100

75%.

Hope this helps :D

The correct answer is A. The statement is true. The transpose property states that (A+B)⊤ = A⊤ + B⊤.

The transpose of a matrix is obtained by interchanging its rows with columns. When adding two matrices, the sum is computed by adding the corresponding elements of the matrices.

Let's consider the transpose of (A+B). By definition, the (i, j)-th entry of (A+B)⊤ is equal to the (j, i)-th entry of (A+B). This means that the entry in the i-th row and j-th column of (A+B)⊤ corresponds to the entry in the j-th row and i-th column of (A+B).

Now, let's consider the matrices A⊤ and B⊤. The (i, j)-th entry of A⊤ + B⊤ is obtained by adding the (i, j)-th entries of A⊤ and B⊤. Since A⊤ has its rows and columns interchanged from A, the entry in the i-th row and j-th column of A⊤ corresponds to the entry in the j-th row and i-th column of A. Similarly, the entry in the i-th row and j-th column of B⊤ corresponds to the entry in the j-th row and i-th column of B.

Since the sum of the entries in the i-th row and j-th column of (A+B)⊤ and A⊤ + B⊤ are the same, we can conclude that (A+B)⊤ = A⊤ + B⊤.

Therefore, the statement A⊤ + B⊤ = (A+B)⊤ is true, and the transpose property holds for matrix addition.

Learn more about matrix: https://brainly.com/question/30389982

#SPJ11

Answer:

Okay, see, one or two questions I would help but doing your entire homework/test/quiz or whatever it is I don't think so. Why don't you at least try and then maybe i'll help.

Step-by-step explanation:

By induction, we have proved that n P(E1U E2U... U En)≤ nΣi=1 P(E;) for any finite sequence of events E1, E2, ..., and En

Proof by induction: We will prove the statement for any finite sequence of events E1, E2, ..., and En.

Base Case: n = 1. We have P(E1) ≤ Σi=1P(Ei). This is true since the probability of the union of an event and its complement is 1.

Inductive Step: Assume that the statement is true for n = k. We will prove the statement for n = k+1.

We have P(E1 U E2 U ... U Ek U Ek+1) = P(E1 U E2 U ... U Ek) + P(Ek+1) - P(E1 U E2 U ... U Ek ∩ Ek+1) ≤ Σi=1P(Ei) + P(Ek+1) - P(E1 U E2 U ... U Ek ∩ Ek+1).

We know that P(E1 U E2 U ... U Ek) ≤ Σi=1P(Ei). Furthermore, P(E1 U E2 U ... U Ek ∩ Ek+1) ≥ 0. Therefore, P(E1 U E2 U ... U Ek U Ek+1) ≤ Σi=1P(Ei) + P(Ek+1), as desired.

By induction, we have proved that n P(E1U E2U... U En)≤ nΣi=1 P(E;) for any finite sequence of events E1, E2, ..., and En.

See more about induction at: https://brainly.com/question/30546731

#SPJ11