i will give u brainliest

The test value of z is 2.86, and the critical value of z is 2.17. Therefore, the correct answer is (a)To test the claim that the mean price of houses in an area is greater than $145,000, the researcher uses a hypothesis test with a significance level of 2%.

The null hypothesis (H₀) assumes that the mean price is not greater than $145,000, while the alternative hypothesis (H₁) assumes that the mean price is greater than $145,000.The test statistic used in this case is the z-score. In this case, the sample mean price is $149,759, and the alternative hypothesis assumes that the population mean is greater than $145,000. The formula for the z-score becomes (149,759 - 145,000) / (24,600 / √36). Simplifying this equation gives a z-score of 2.86. The critical value of z is determined based on the significance level and the type of test (one-tailed or two-tailed). Since the alternative hypothesis assumes the mean is greater, it is a one-tailed test. At a significance level of 2%, the critical value of z is 2.17. Comparing the test value of z (2.86) to the critical value of z (2.17), we find that the test value exceeds the critical value. This means that we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean price of houses in the area is greater than $145,000. Therefore, the correct answer is (a), with a test value of z equal to 2.86 and a critical value of z equal to 2.17.

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Answer:

The three consecutive odd integers are: -11, -13 and -15.

Step-by-step explanation:

Let the smallest number be represented by x. then the three consecutive odd integers are: x, (x + 2) and (x = 4).

The sum of the smallest number and twice the larges number = x + 2(x + 4)

Fifteen more than four times the middle number = 4(x + 2) + 15

So that;

x + 2(x + 4) = 4(x + 2) + 15

x + 2x + 8 = 4x + 8 + 15

3x + 8 = 4x + 23

3x - 4x = 23 - 8

-1x = 15

⇒ x = -15

  (x + 2) = (-15 + 2) = -13

  (x + 4) = (-15 + 4) = -11

The three consecutive odd integers are: -11, -13 and -15.

Answer:

Slope of the graphed line, using 2 points (-1, 3) and (0, 0):

Slope of the line containing the points (-6, 2) and (-9, 5):

The difference in number between the slopes:

The difference in slopes:

Answer:

i like to know this answer

List and appraise a piece of music base on timbre

The probability of selecting someone in the 18-21 age bracket can be found by calculating the proportions of individuals in each group and adding them together. In this case, the probability is 0.743.

To find the probability of selecting someone in the 18-21 age bracket or someone who agreed to respond, we need to calculate the proportions of individuals in each group and add them together.

In the 18-21 age bracket, out of 74 people contacted, 63 responded. Therefore, the proportion of people who responded in this age group is 63/74 = 0.851. The proportion of people who refused to respond is 11/74 = 0.149.

In the 22-29 age bracket, out of 282 people contacted, 252 responded. Thus, the proportion of people who responded in this age group is 252/282 = 0.894. The proportion of people who refused to respond is 30/282 = 0.106.

To calculate the probability of selecting someone in the 18-21 age bracket or someone who agreed to respond, we add the proportion of people who responded in the 18-21 age bracket (0.851) to the proportion of people who responded in the 22-29 age bracket (0.894). This gives us a probability of 0.851 + 0.894 = 1.745.

However, it's important to note that probabilities cannot exceed 1, so we need to adjust this value. Since the probability of selecting any individual from the total population is 1, we subtract the probability of selecting someone who refused to respond from 1. The probability of selecting someone who refused to respond is 0.149 + 0.106 = 0.255. Thus, the final probability is 1 - 0.255 = 0.745, or 74.5%.

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(-4, 9, -7), (-8, 10, -7)

(2, 4, -5), (4, 8, -10)

(6, 3, 8), (2, 9, 2), (9, 6, 9)

(2, -2, 2), (-5, 5, 2), (-3, 2, 2), (-3, 3, 9)

To determine if a set of vectors is linearly dependent, we need to check if there exists a nontrivial solution to the equation:

c1v1 + c2v2 + c3v3 + ... + cnvn = 0,

where c1, c2, c3, ..., cn are scalars and v1, v2, v3, ..., vn are the vectors in the set.

Let's analyze each set of vectors:

1) (-4, 9, -7), (-8, 10, -7)

To check linear dependence, we solve the equation:

c1(-4, 9, -7) + c2(-8, 10, -7) = (0, 0, 0)

This gives the system of equations:

-4c1 - 8c2 = 0

9c1 + 10c2 = 0

-7c1 - 7c2 = 0

Solving this system, we find that c1 = 5/6 and c2 = -2/3. Since there exists a nontrivial solution, this set is linearly dependent.

2) (2, 4, -5), (4, 8, -10)

To check linear dependence, we solve the equation:

c1(2, 4, -5) + c2(4, 8, -10) = (0, 0, 0)

This gives the system of equations:

2c1 + 4c2 = 0

4c1 + 8c2 = 0

-5c1 - 10c2 = 0

Solving this system, we find that c1 = -2c2. This means that there are infinitely many solutions for c1 and c2, which indicates linear dependence. Therefore, this set is linearly dependent.

3) (6, 3, 8), (2, 9, 2), (9, 6, 9)

To check linear dependence, we solve the equation:

c1(6, 3, 8) + c2(2, 9, 2) + c3(9, 6, 9) = (0, 0, 0)

This gives the system of equations:

6c1 + 2c2 + 9c3 = 0

3c1 + 9c2 + 6c3 = 0

8c1 + 2c2 + 9c3 = 0

Solving this system, we find that c1 = -1, c2 = 2, and c3 = -1. Since there exists a nontrivial solution, this set is linearly dependent.

4) (2, -2, 2), (-5, 5, 2), (-3, 2, 2), (-3, 3, 9)

To check linear dependence, we solve the equation:

c1(2, -2, 2) + c2(-5, 5, 2) + c3(-3, 2, 2) + c4(-3, 3, 9) = (0, 0, 0)

This gives the system of equations:

2c1 - 5c2 - 3c3 - 3c4 = 0

-2c1 + 5c2 + 2c3 + 3c4 = 0

2c1 + 2c2 + 2c3 + 9c4 = 0

Solving this system, we find that c1 = -3c2, c3 = 3c2, and c4 = c2. This means that there are infinitely many solutions for c1, c2, c3, and c4, indicating linear dependence. Therefore, this set is linearly dependent.

In summary, the linearly dependent sets are:

(-4, 9, -7), (-8, 10, -7)

(2, 4, -5), (4, 8, -10)

(6, 3, 8), (2, 9, 2), (9, 6, 9)

(2, -2, 2), (-5, 5, 2), (-3, 2, 2), (-3, 3, 9)

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Cosx, -sinx, -cosx + C, sinx + C are the derivative answers to the question.

The derivative of sin x with respect to x is cos x.
The derivative of cos x with respect to x is -sin x.
The antiderivative of sin x with respect to x is -cos x + C, where C is the constant of integration.
The antiderivative of cos x with respect to x is sin x + C, where C is the constant of integration.

1. The derivative of sin(x) with respect to x is cos(x).
2. The derivative of cos(x) with respect to x is -sin(x).
3. The antiderivative of sin(x) with respect to x is -cos(x) + C, where C is the constant of integration.
4. The antiderivative of cos(x) with respect to x is sin(x) + C, where C is the constant of integration.

A derivative in mathematics is a measurement of how much a function alters as its input alters. It refers to how quickly a function alters in relation to its input variable. The slope of the tangent line to the function at a certain point is what it is, in other words.

The limit of the ratio of the change in the output to the change in the input, as the change in the input approaches zero, is known as the derivative of a function, indicated by the symbols f'(x) or \(dy/dx\).

The opposite of differentiation is an antiderivative, usually referred to as an indeterminate integral. It is a function that yields the original function when differentiated. In other words, f(x) follows if \(f'(x) = g(x)\).

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If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

⇒ Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer: A

Step-by-step explanation:

Answer: Im pretty sure its x = 4.472135955

Step-by-step explanation:

DISCLAIMER: I may be wrong I am kind of rusty.

You got to use the Pythagorean theorem (a^2 + b^2 = c^2) to answer this.

First you label your triangle by putting the hypotenuse as "c" the other known value as "b" and the unknown value as "a".

Now you input the answers into the equation.

x^2 + 4^2 = 6^2

Now answer the known values.

x^2 + 16 = 36

Now subtract by 16 to get rid of the sixteen.

x^2 + 16 -16 = 36 -16

x^2 = 20

Now to get rid off the ^2 find the square root.

x = 4.472135955

Answer:

(-6,3) (0,-1) (-1,-3)

Answer:

the one with the red line

Step-by-step explanation:

The polynomial will be given as P(x) = a(x + 3)² (x – 2)³. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

5th degree polynomial has a zero at x= -3 with multiplicity of 2 and a zero of x=2 with multiplicity of 3 and value of the function is neg. when x = -4.

Then the factor of the polynomial will be (x + 3) and (x – 2).

Then the polynomial will be given as,

P(x) = a(x + 3)² (x – 2)³

Where a is the leading coefficient.

Then the correct option is D.

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

what do you mean

Step-by-step explanation:

Answer:

6 - 2t < -4

Step-by-step explanation:

:)

The translation that occurred, given the position of the old shape and the new one is A. 2 units right, 10 units down.

To find a translation transformation, you need to know the amount of horizontal and vertical displacement. The displacement values, called the "translation vector," represent the amount and direction of movement.

Looking at D (-2, 4) and D' (0, -6) points, we can find the translation vector to be:

= - 2 - 0

= - 2

= 4 - (- 6)

= 10

(-2, 10 )

This means 2 units right, 10 units down.

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Answer:

6a) i- 2hrs 36mins  ii- 3hrs 12mins

b) car A≈ 76.9km/h  car B≈ 62.5km/h

c)------

7a) 35km

b) car A=75km  car B=60km

c) 30km

d) car A≈36mins  car B≈48mins

Step-by-step explanation:

6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.

b) Using the answer from a, you divide 200km by the time.

For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6

∴ car A: 200/2.6≈ 76.92km/h

For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2

∴ car B: 200/3.2≈ 62.5km/h

7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.

b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).

c) Difference from car A line to car B:

155km-125km=30km

d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.

Hope this helps.

Answer:

It is all 4

Step-by-step explanation:

Answer:

all 4 , the next one is A

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Trust me, I am a teacher in Ohio, I shouldn't be saying this but I will help you out anyways! Good luck! :)

The cost of a bottle of water at the grocery store is $2, while the cost of a heart-healthy frozen meal is $4.

Let's assign variables to the unknowns: let the cost of a bottle of water be 'W' and the cost of a heart-healthy frozen meal be 'M'. From the given information, we can form two equations:

Equation 1: 3W + 5M = 24 (for Rick's purchase)

Equation 2: 4W + 4M = 22 (for Danny's purchase)

To solve these equations, we can use the method of substitution or elimination. Let's use the elimination method by multiplying Equation 1 by 4 and Equation 2 by 3 to eliminate the 'W' term:

12W + 20M = 96 (Equation 3)

12W + 12M = 66 (Equation 4)

By subtracting Equation 4 from Equation 3, we get:

8M = 30

Dividing both sides by 8, we find:

M = 3.75

Substituting the value of M back into Equation 4, we can solve for W:

12W + 12(3.75) = 66

12W + 45 = 66

12W = 66 - 45

12W = 21

W = 1.75

Therefore, the cost of a bottle of water is $1.75, and the cost of a heart-healthy frozen meal is $3.75.

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Answer:

324

...................

Answer:

64 units

Step-by-step explanation:

divide the shape into two shapes:

first one: 15+15+4+4=38

second shape:7+7+6+6=26

pweimwter for the whole shape: 38+26=64 units

Answer:

for quest

Step-by-step explanation:

For part A of question 4:

The sales tax is .99¢

So the total is $15.99

Answer:

Its a 1 in 6 chance of rolling a 3

Step-by-step explanation:

Let me know how many color and i can tell you the probability if spinning blue, enjoy.

Answer:

12 cups

Step-by-step explanation:

There are 48 hours in two days.

48 · 2 = 96 ( 2 being fluid ounces per hour )

96 ÷ 8 = 12 ( 8 being fl oz in each cup )

I hope that this helped!!!

Answer:

4

Step-by-step explanation:

2^2=2+2=4