how do you do -5+-9​

Answer:

-1

Step-by-step explanation:

2y+6=1 -3y

add three to both sides and minus 6 from both sides becasue you want to get y by itself

5y=-5

now both sides by 5

y=-1

Answer:

y=−1

Step-by-step explanation:

2y+6=1−3y

Step 1: Simplify both sides of the equation.

2y+6=1−3y

2y+6=1+−3y

2y+6=−3y+1

Step 2: Add 3y to both sides.

2y+6+3y=−3y+1+3y

5y+6=1

Step 3: Subtract 6 from both sides.

5y+6−6=1−6

5y=−5

Step 4: Divide both sides by 5.

y=−1

a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Index notation of 25 as product of primes is

\(5 \cdot 5\)

Given :

We need to write 25 as a product of primes

product of primes are the multiplication of factors that are prime .

To find out prime factors we need to break the given given number

Break the given number till we get factors

For example , 8 can be written as 2*2*2

like that we need to break 25

\(25= 5 \cdot 5\)

25 as a product of prime

\(5 \cdot 5\) in index notation

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y/x is equivalent to a constant and is equal to [m].

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}

x/a + y/b = 1                                        {intercept form}

x cos(β) + y sin(β) = L                          {Normal form}

We have a relationship that is proportional when the ratio of [y] over [x].

The equation of a straight line -

y = mx + c

can be used to represent proportional relationship when [c] = 0. Now -]

y = mx

m = y/x

Now, y/x is equivalent to a constant and is equal to [m].

Therefore, y/x is equivalent to a constant and is equal to [m].

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In order to calculate the unit price, we need to divide the price of a bag by the number of pounds of that bag.

So, for the first bag, the price is $11.96 and the weight is 2.24, so the unit price is:

Now, for the second bag ($17.24, 3.12 pounds), we have:

The first bag has a smaller unit price, therefore the better buy is the 2.24-pound bag.

Answer:

Each person will have 6

Step-by-step explanation

The 73 customers who spend money in this store if  margin of error of at most 0.075 with 80% confidence.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

\(\rm MOE = Z\times \dfrac{s}{\sqrt{n}}\)

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have p = 0.50 MOE = 0.075

Z = 1.282 at 80% confidence from the Z table.

\(\rm 0.075 = (1.282)\sqrt{\dfrac{0.50(1-0.50)}{n}}\)

After solving, we get:

n = (0.5)(0.5)/(0.0585)²

n = 73

Thus, the 73 customers who spend money in this store if  margin of error of at most 0.075 with 80% confidence.

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The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

The answer is a.) 6.75

Explanation:

I got it right on my quiz :)

Answer:

Vertical angles — two non-adjacent angles formed by two intersecting lines.

Step-by-step explanation:

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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Answer:

D-648

Step-by-step explanation:

Answer:

the is d i got it right on my test

Step-by-step explanation:

There are 70 ways to choose 4 shoes from the pile of 8.

We can apply the combination formula, which is: to select 4 shoes from the pile of 8:

The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.

where n is the total number of shoes (8) and k is the number of shoes we want to choose (4).

Substituting the values, we get:

\({ }^8 C_4=\frac{8!}{4!*(8-4)!}=\frac{8*7*6*5}{4*3*2*1} =70\)

Therefore, there are 70 ways to choose 4 shoes from the pile of 8.

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Answer:

4020 grams

Step-by-step explanation:

4kg=4000g

2 dag= 20g

Total: 4000g + 20g = 4020g

Answer:

4020 grams

Step-by-step explanation:

1 kg = 1000 g
1 dag = 10 g
4 x1000= 4000
2 x 10 = 20
4000 + 20

Answer: 66\(\frac{6}{9}\) miles per hour

Step-by-step explanation:

300 miles * 1 hour/4 1/2 hours =

300 miles * 1 hour/(4+1/2) hours =

300 miles * 1 * 2  hour/((4+1/2) * 2) hours =

300 miles * 2 hours/(8+1) hours =

300 miles * 2 hours/9 hours =

300 * 2/9=

600/9=

(594+6)/9=

594/9 + 6/9=

66+6/9=66 6/9 miles per hour

Answer:

C) 395 grams

Step-by-step explanation:

Box B = 350g and is lighter than box A, 45 gram

Box A = Box B +45

350 + 45 = 395 grams

So, the answer is C

Answer:

2. Open the bracket

Step-by-step explanation:

1. Given:

\(3(x + 2) = 12\)

2. Open the bracket, by multiplying 3 on every term in the bracket.

\( (3 \times x) + (3 \times 2) = 12 \\ 3x + 6 = 12\)

3.Subtraction Property of equality:

\(3x + 6 - 6 = 12 - 6\)

4. Simplify:

\(3x = 6\)

5. Divide property of equality:

\( \frac{3x}{3} = \frac{6}{3} \)

6. Simplify:

\(x = 2\)

in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

In the equation ONp/ot = -rpP + OPN, the term -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction with respect to time. Here's a step-by-step explanation:
ONp/ot represents the rate of change of the concentration of a substance N with respect to time (t). This is often used to describe the rate at which a chemical reaction proceeds.
-rpP is the rate of decrease of the concentration of a reactant (P) due to the reaction. The negative sign indicates that the concentration of the reactant is decreasing over time.
OPN is the rate of increase of the concentration of a product (N) due to the reaction. The positive sign indicates that the concentration of the product is increasing over time.
The equation ONp/ot = -rpP + OPN connects these two terms, stating that the rate of change of the concentration of substance N with respect to time is equal to the rate of decrease of reactant P plus the rate of increase of product N.
5. The term -rpP + OPN describes the balance between the decrease of reactant concentration and the increase of product concentration in the chemical reaction. This balance is important in understanding the reaction kinetics and determining the rate at which a reaction occurs.
In summary, -rpP + OPN in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

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Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

3

Step-by-step explanation:

P.PENEEEEEEEE,TE GUSTAA∞\(\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}\)

Answer:

Add 5x and 5x.

10x=10x

Move all terms containing x to the left side of the equation.

Subtract 10x from both sides of the equation.

10x−10x=0

Subtract 10x from 10x.

0=0

Since 0=0, the equation will always be true for any value of x. All real numbers

Answer:

x

Step-by-step explanation:

that is my answer I THINL

Therefore , we can transform these data into bar graph with the help of given values.

A non-linear data structure consisting of nodes, or vertices, and edges is known as a graph. The nodes, which are sometimes referred to as vertices in a graph, are connected by any two edges. This graph has a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, 2, 5, and 4, 50.

Here,

The gene plays the role of pigment production .

Yes , The presence of mutagens , temperature , light cycle can influence the fur color.

Mcl gave has ullets it runs in the evolution chart . So the dominant truit mild always present in matured solution.

Therefore , we can transform these data into bar graph with the help of given values.

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Answer:

y = 3x - 1

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

The conditional statement p: 10 > 7, q: 10 > 5, p → q is True. It affirms that if 10 is greater than 7 (which is true), then 10 is also greater than 5 (which is also true).

Let's break down the conditional statement "p → q" and explain it step by step.

The statement "p: 10 > 7" states that 10 is greater than 7. This is a true statement because 10 is indeed greater than 7.

Similarly, the statement "q: 10 > 5" states that 10 is greater than 5. This is also a true statement because 10 is indeed greater than 5.

Now, let's examine the conditional statement "p → q". This statement is read as "p implies q" or "if p, then q". It expresses a relationship between the truth values of p and q.

To determine the truth value of the conditional statement, we evaluate whether p being true guarantees that q is also true. In other words, if p is true, can we say with certainty that q is also true.

In this case, since p is true (10 is greater than 7) and q is also true (10 is greater than 5), we can conclude that p being true guarantees that q is true.

Therefore, the conditional statement "p → q" is true. It affirms that if 10 is greater than 7 (which is true), then 10 is also greater than 5 (which is also true).

The missed conditional statement in the question should be:

p: 10 > 7

q: 10 > 5

p → q

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92