Given the function f(x) = 6x2 + 3
Find f(-2)
-22
27
9
15

The main difference between the uniform distribution and the normal distribution is that the uniform distribution has the same probability for every outcome, while the normal distribution has higher probabilities for outcomes centered around the mean

The uniform distribution is a probability distribution that assigns equal probabilities to every possible outcome within a specific range. In other words, each outcome has the same likelihood of occurring, and the distribution is flat or rectangular-shaped. For example, if you roll a fair six-sided die, the probability of getting any one of the six numbers is 1/6, since each number is equally likely to occur. The uniform distribution is commonly used in situations where all outcomes are equally likely, such as in random number generation or selecting a winner from a group of contestants.

On the other hand, the normal distribution (also known as the Gaussian distribution) is a continuous probability distribution that describes the behavior of many natural phenomena, such as the heights of people or the weights of objects. It is characterized by a bell-shaped curve that is symmetric around its mean value, with the highest probability density at the mean and decreasing probability density as you move away from the mean in either direction. The normal distribution is important in statistics because it is often used to model real-world data, and many statistical tests and techniques assume that the data follows a normal distribution.

In summary, the uniform distribution is characterized by equal probabilities for all outcomes, while the normal distribution is characterized by a bell-shaped curve that assigns higher probabilities to outcomes near the mean and lower probabilities to outcomes further away from the mean.

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(a) 0.034 L, (b) 27,000 mg, (c) 310 L

To express each value with two significant figures, we follow these rules:

If the first non-zero digit is before the decimal point, count all the digits starting from the first non-zero digit.

If the first non-zero digit is after the decimal point, count all the digits starting from the first non-zero digit until the second significant figure.

Round the last digit if it is greater than or equal to 5.

(a) 0.03405 L:

The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 4. Therefore, rounding to two significant figures gives us 0.034 L.

(b) 26,978 mg:

The first non-zero digit is 2. Since it is before the decimal point, we count all the digits starting from 2. The second significant figure is 6. Therefore, rounding to two significant figures gives us 27,000 mg.

(c) 310.490 L:

The first non-zero digit is 3. Since it is before the decimal point, we count all the digits starting from 3. The second significant figure is 1. Therefore, rounding to two significant figures gives us 310 L.

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Jason can check his answer isolate the variable, solving the operations and substituting the (x) value in the equation.

The clearance rules to solve the problem are the following:

The sign rules to solve the problem are the following:

Solving the equation we have:

-8. 5x – 3. 5x = –78

Two like signs add the values and keep the common sign.

-12x = -78

What is multiplying goes to the other side of the equality by dividing.

x = -78 / -12

x = 6.5

Substituting the (x) value in the equation we can check the answer and we get:

-8. 5x – 3. 5x = –78

-8.5(6.5) - 3.5(6.5) = -78

-55.25 - 22.75 = -78

- 78 = - 78

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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The quantity of turnips that Gabrielle bought would be = 17 5/8 pounds

The weight of an object is defined as the quantity of matter that is contained in that object which is usually measured in pounds.

The weight of a bag of parsnips (X )= 3 3/4 pounds

The weight of a bag of turnips = 4 7/10 (X)

Therefore the quantity of turnips that she bought is calculated as follows:

4 7/10 × 3 3/4

Change the above mixed fractions to a single fraction.

= 47/10 × 15/4

= 705/40

= 17 5/8 pounds.

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Answer: Could be 7.

Step-by-step explanation:

Diego will have 74 pencils remaining after giving 14 pencils to Marcus and 32 pencils to Anna.

The question is about simple Subtraction. First, we know that the total number of colored pencils in the box is 120. Following is the step-by-step explanation for this question.
Let suppose,
Total Colored pencils = x = 120
Pencils given to Marcus = y = 14
Pencils are given to Anna = z = 34.

And, Total Pencil Remaining = R =?

We can show the given information in the equation as given below:
R = x - y - z

By putting the value in the above equation:
R  = 120 - 14 -34
R  = 74.

So, after giving the 14 and 32 pencils to Marcus and Anna, respectively. Marcus would remain with 74 Pencils.

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Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

The number of students that are in both the Categories A and B are 16 students.

In the question ,

it is given that ,

the total number of students in category A and category B is 32 students .

which is represented as A union B ,

that is n(AUB) = 32 ,

the number of students in category A = n(A) = 24

the number of students in category B = n(B) = 24

we need to find the number of students that are in both category ,

that is n(A∩B) .

we know that ,

n(AUB) = n(A) + n(B) - n(A∩B)

Substituting the values , we get

n(A∩B) = 24 + 24 - 32

= 48 - 32

= 16

Therefore , The number of students that are in both the Categories are 16 students.

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Answer:

10.4443

I hope this helps :D have a good day!

Answer:

 -8a2b + 8a - b2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (8a -  23a2b) -  b2

STEP  2 :

STEP  3 :

Pulling out like terms

3.1     Pull out like factors :

-8a2b + 8a - b2  =   -1 • (8a2b - 8a + b2)  

Trying to factor a multi variable polynomial :

3.2    Factoring    8a2b - 8a + b2  

Try to factor this multi-variable trinomial using trial and error  

Answer:

-8a^2b - b^2 + 8a

Have a nice day and stay safe. Pls rate me and like.

: )

Answer:

hi

Step-by-step explanation:

i'll happy to help you but there isn't question

have a nice day

Answer:

If you make another question, with the picture, i will help you!

Step-by-step explanation:

Have a nice day/night!

Answer:

the answer is option D. Uranium - 235

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

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Answer:

160 m/min i beleve if not im sry

Step-by-step explanation:

pls give brainlyes

Answer:

\(\sf\longmapsto - 5\)

Step-by-step explanation:

\(\sf\longmapsto \: 5 - 10\)

\(\sf\longmapsto - 5\)

Answer:

16.95%

Step-by-step explanation:

Enjoy your day !

Answer:

25

Step-by-step explanation:

because 225/9 is 25 meaning she has 25 times more than mila

Answer:

"27 and 1/2"

Step-by-step explanation:i got a 100% so im 100% sure this is right

Answer:  \(0 \le p(a) \le 1\)

The smallest p(a) can get is 0. The largest is 1. Both endpoints are included.

Explanation:

I'm assuming p(a) refers to a probability. If so, then p(a) = 0 means there's a 0% chance of the event happening. On the opposite end of the spectrum, p(a) = 1 means there's a 100% chance of the event happening. Most probabilities will fall somewhere in between.

Examples:

Answer:

21, 12

Step-by-step explanation:

can you give me brainliest pls im trying to level up lol

1)

a. 4

b. 9

c. -7

d. -23

2)

a. F

b. F

c. T

d. F

3)

a. 100 -66 =34

b. 78 x 3 = 234

c. 36 + 24 = 60

d. 4 x 17 x 3 = 204

21)

a. -9 + (-12)

= - 9 - 12

= - 21

b. -17 + (3)

= -17 + 3

= - 14

c. 24 + ( -11 )

= 24 - 11

= 13

d. - 15 + (-10)

= - 15 - 10

= - 25

e. - 63 + ( -42) + 8

= - 63 - 42 + 8

= - 97

f. 101 + ( -11 ) + ( -100 )

= 101 -11 - 100

= - 10

Answer: A

Step-by-step explanation:

If you plug in the numbers from the x column into the equation in the place of x, you can figure out the answer.

Example:    -10x - 15

                   -10(1) - 15 = -25

                   -10(2) - 15 = -35 and so on...

You're Welcome! :)

The four basic right that were included in the first amendment are Freedom of speech , Freedom of religion , Freedom of press and Freedom of assembly .

The First Amendment of the U.S. Constitution guarantees the following four basic rights:

(i) Freedom of Speech: This includes the right to express oneself freely, whether through oral or written communication.

(ii) Freedom of Religion: This protects an individual's right to practice their own religion or to not have a religion at all, without government interference.

(iii) Freedom of the Press: This protects the right of the media to publish and report the news without government censorship or restraint.

(iv) Freedom of Assembly: This allows individuals to gather and associate with others, including the right to form and participate in organizations and protest movements.

The given question is incomplete , the complete question is

The First Amendment include four basic right or freedom. What are they ?

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The value of the test statistic is 5.0. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. We need to find the value of the test statistic.

For the given problem,Null hypothesis H0: μ ≤ 3.5 (It is stated that the institution is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50)Alternate hypothesis Ha: μ > 3.5 (This is the complement of the null hypothesis.)Level of significance α = 0.025 (Given in the problem)

Formula for the test statistic z= \[\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\] Where \[\bar{x}\] is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Substitute the values in the formula,\[z=\frac{3.60-3.5}{\frac{0.4}{\sqrt{36}}}\]\[z=\frac{0.1}{\frac{0.4}{6}}\]\[z=\frac{0.1}{0.0667}\]\[z=1.5\]

The test statistic is 1.5.

However, the closest value given in the options is not 1.5 but 1.15. Therefore, the value of the test statistic is actually 5.0 (not listed in the options).

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Answer:

99°

Step-by-step explanation:

We know that angles on a straight line add up to 180° so we can set up an equation to find the value of x.

In an equation it's important to do the operation you want to on both sides because if you do an operation on one side only you will end up changing the whole equation and that will make the value of x wrong so its an important rule to remember.

8x - 13 + 7x - 17 = 180

→ Simplify

15x - 30 = 180

→ Add 30 to both sides to isolate 15x

15x = 210

→ Divide both sides by 15 to isolate x

x = 14

But we are not finished, the specifies us to find ∠MON and we have only found the value of x so we have to substitute x back into 8x - 13 to find the value of ∠MON

8x - 13

→ Substitute x = 14 back into into the expression

8 × 14 - 13

→ Simplify

112 - 13 = 99

So the value of ∠MON is 99°

Answer:0.06

Step-by-step explanation:

Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

The quotient between 1145 and 20.38 is 56.20

Here we want to take the quotient between 1145 and 20.38.

We can take that quotient using a calculator, or we can rewrite it as follows:

1145/20.38 = (1145/2038)*100

That is to remove the decimal part, so we can take the quotient in an easier way.

Then we will get:

(1145/2038)*100 =  56.20

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