For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).

Answer:

We have to reject null hypothesis

Step-by-step explanation:

n = 800

P* = sample proportion = 0.67

Alpha = 0.05

Null hypothesis h0: proportion = 63%

Alternate hypothesis h1: proportion > 64%

Test statistics:

Z = (p* - P)/√pq/n

Z = 0.67 - 0.64/√0.63x0.37/800

= 0.67 - 0.63/0.017

=0.04/0.017

= 2.352

At 0.05 the critical value of z = 1.645

We compare z calculated and z critical value.

2.352 is greater than 1.645 therefore we take the decision to reject the null hypothesis at 0.05 level of significance.

The percentage of residents that supports construction is greater than 63%

Answer:

11.3 miles

Step-by-step explanation:

We can use the pythagorean theorem to find the distance from his home to work, since the 3 roads form a right triangle where the new road is the hypotenuse.

a² + b² = c²

8² + 8² = c²

128 = c²

= approx. 11.3 miles

The distance between his home and his work of place is 11.31 miles.

Given,

A man drove 8 miles directly east from his home, made a left turn at an intersection, and then traveled 8 miles due north to his place of work.

A road was made directly from his home to his place of work.

We need to find what would its distance be in miles,

We have,

                 North

West   <----- ⇅ ------->           East

                 South

In a right triangle,

The square of the hypotenuse is equal to the sum of the square of the other two sides.

Find the direction of the given statement.

A man drove 8 miles directly east from his home:

              8 miles

Home ------------------->East

Made a left turn at an intersection, and then traveled 8 miles due north to his place of work:

             North         Work

                 ⇅              Left

                                ⇅ 8 miles

Home ------------------->East

                                ⇅

                               Right

If a road was made directly from his home to his place of work:

                                                        Work

Home                       North          

West   <------------------⇅ --------------->East

                               South

                                          A  (Work)

                                     /   ║

                              /          ║                              

                       /                 ║ 8 miles

                  /                      ║  

(Home) B /___________║C

                      8 miles

Find the distance between home and place of work.

AB = distance between home from work

Applying the Pythagorean theorem.

AB² = BC² + AC²

AB² = 8² + 8²

AB² = 64 + 64

AB² = 128

AB = ±√128

The distance can never be negative here so,

√128 = 11.31

AB = 11.31 miles.

Thus the distance between his home and his work of place is 11.31 miles.

Learn more about justifying the distance Formula using the Pythagorean Theorem here:

https://brainly.com/question/11099

#SPJ2

Answer:

In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.

There are some hypotheses in the episode thay turned out to be false.

Answer:

FALSE. The opposite of 11 is -11.

Answer:

Step-by-step explanation:

Using the rules of indices

That's

So we have

So we have

Let

We have

4y = 9y - 2

4y - 9y = - 2

- 5y = - 2

Divide both sides by - 5

But

Take logarithm to base 2 to both sides

That's

So we have

Using the rules of logarithms

That's

Rewrite the expression

That's

But

So we have the final answer as

Hope this helps you

Answer:

P(outcome) - P(-outcome) = 1

Step-by-step explanation:

Given

Let the complementary probabilities be represented with P(outcome) and P(-outcome)

Required

Determine which of the options do not show complementary probabilities

In probability, complementary probability sums up to 1

i.e.

[tex]P(outcome) + P(-outcome) = 1[/tex]

Hence option C is correct

Make P(outcome) the subject of formula

[tex]P(outcome) = 1 - P(-outcome)[/tex]

Hence, option A is correct

Make P(-outcome) the subject of formula

[tex]P(-outcome) = 1 - P(outcome)[/tex]

Hence, option D is correct

So, from the list of given options,

[tex]P(outcome) - P(-outcome) = 1[/tex] is incorrect

Answer:

The vertex is located at the point (13, 11)

Step-by-step explanation:

When this equation is graphed, the vertex falls on this point on the graph. Hope this helps!!!

Answer:

1. 12 pieces of wood

2. How to determine the number of pieces of wood Dean cut is by dividing the total length of wood by length of each piece of wood

Step-by-step explanation:

Total length of wood=3/4 of a foot

He needs to cut pieces of the wood into 1/16 of a foot long

How many pieces can Dean cut

Let x= number of pieces of wood Dean needs to cut

x=Total length of wood / length of each piece

=3/4 ÷ 1/16

=3/4 × 16/1

=48/4

=12 pieces

Number of pieces of the wood Dean can cut =12 pieces

How to determine the number of pieces of wood Dean cut is by dividing the total length of wood by length of each piece of wood

That is,

3/4 ÷ 1/6

Then follow the procedures in question 1

Answer:

6/8 9/12 15/20 12/16 and alot more

Step-by-step explanation:

Can't explain

Answer:

the answer is 6/8

Answer:

A' (2, 1)

B' (1, 2)

C' (3, 2)

Step-by-step explanation:

Scale factor = 0.5

A(⁴₂ ) → A'([tex]\frac{1}{2} * 4\\\frac{1}{2} * 2[/tex]) = (²₁ )  ∴ A'(2, 1)

B(²₄ ) → B'([tex]\frac{1}{2} * 2\\\frac{1}{2} * 4[/tex]) = (¹₂ ) ∴ B'(1, 2)

C(⁶₄ ) → C'([tex]\frac{1}{2} * 6\\\frac{1}{2} * 4[/tex]) = (³₂ ) ∴ C'(3, 2)

Answer:

1. agricultural inspecter

2. food-cooking machine operator

3. grader or sorter

4. food-baking machine operator

5. food batchmaker

Step-by-step explanation:

i got this correct on ED2021

The correct order is agricultural inspector, food-cooking machine operator, grader, or sorter. food-baking machine operator, food matchmaker.

The process of turning agricultural materials into food or transforming one type of food into the next is referred to as transformation.

It is given that:

For the descriptions:

Makes sure products meet safety regulations - agricultural inspector.

Operates equipment to cook meat for packaging in soup cans - food-cooking machine operator.

Classifies eggs based on size and quality - grader or sorter.

Operates a large oven in a factory to bake bread before packaging - food-baking machine operator.

Operates equipment that mixes ingredients together to make candy - food matchmaker.

Thus, the correct order is agricultural inspector, food-cooking machine operator, grader, or sorter. food-baking machine operator, food matchmaker.

Learn more about food processing here:

https://brainly.com/question/27044001

#SPJ2

Answer:

0.045

Step-by-step explanation:

khan

The required amount of the space available is 0.045 cubic meter.

Space inside the steps to be determine.

Volume, is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2
                                  =  0.06 - 0.015
                                  =    0.045 cubic meter

Thus, the required amount of the space available is 0.045 cubic meter.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ2

[tex] \huge{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}[/tex]

Let the first term of the AP be a and the common difference of the AP be d

We know the formula for finding the nth term,

[tex] \large{ \boxed{ \rm{a_n = a + (n - 1)d}}}[/tex]

Here,

By using formula,

According to given condition,

⇛ a4 = 2a2 - 1

⇛ a + 3d = 2(a + d) - 1

⇛ a + 3d = 2a + 2d - 1

⇛ a - 2a + 3d - 2d = -1

⇛ -a + d = -1

⇛ a - d = 1

Then,

⇛ a = d + 1-----------(1)

It is given that, a6 = 7

⇛ a + 5d = 7

Putting a from eq.(1),

⇛ d + 1 + 5d = 7

⇛ 6d + 1 = 7

⇛ 6d = 6

⇛ d = 6/6 = 1

Putting value of d in eq.(1),

⇛ a = 1 + 1 = 2

⛈ First term of the AP(a) = 2

━━━━━━━━━━━━━━━━━━━━

Answer:

  (2)  (-2, 4), (3, 9)

  (3)  (-2, 4), (1, 1)

Step-by-step explanation:

My favorite way to answer questions like this is to use a graphing calculator to find the points of intersection. The attached shows the points of interest.

If you want to solve this by hand, equate the expressions for y, then solve the resulting quadratic using any of the methods you know. Once you find the x-values, put those in either equation to find the y-value.

__

(2) x^2 = y = x+6

  x^2 -x -6 = 0 . . . . put in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3 or -2 . . . . . find the x-values that make the factors zero

  y = x^2 = 9 or 4

The points are (3, 9) and (-2, 4).

__

(3) x^2 = -x +2

  x^2 +x -2 = 0 . . . . standard form

  (x +2)(x -1) = 0 . . . factored

  x = -2 or 1 . . . . . . .zeros

  y = x^2 = 4 or 1

The points are (-2, 4) and (1, 1).

_____

Comment on factoring

When you consider the factored form and its expanded equivalent, ...

  (x +a)(x +b) = x^2 +(a+b)x +ab

you see that the coefficient of the linear term (a+b) is the sum of factors of the constant term (ab). Your knowledge of multiplication tables will often help you factor equations easily. You need to pay attention to signs.

In problem 2, we want factors of -6 that have a sum of -1:

  -6 = (-1)(6) = (-2)(3) = (-3)(2) = (-6)(1)

These factor pairs have sums of 5, 1, -1, -5. The pair whose sum is -1 is the one we're looking for: -3 and 2. So, the factors in problem 2 are (x-3)(x+2).

__

In problem 3, we want factors of -2 that have a sum of +1:

  -2 = (-1)(2) = (-2)(1)

These factor pairs have sums of 1, -1. So, the second pair is the one of interest: -2 and 1. That makes the factors be (x-2)(x+1).

Answer:

The probability is [tex]P(X > 25 ) = 1.667[/tex]

Step-by-step explanation:

From the question we are told that

    The  maximum wait is  [tex]b = 30 \ minutes[/tex]

      The  minimum wait would be  [tex]a = 0\ minutes[/tex]

Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as

   [tex]P(X > 25 )[/tex]

Now given that the time a person waits is uniformly distributed and that the maximum is  30 then we can evaluate the above probability as

    [tex]P(X > 25 ) = P(25 < X < 30 ) = \frac{30 - 25}{30 - 0}[/tex]

     [tex]P(X > 25 ) = 1.667[/tex]

Answer: about 270

Step-by-step explanation:

If you look closely at 200 ml, you will see that there are 5 evenly spaced bars. This tells us that 200-300 ml is split by 20s. Counting the bars, you reach 260, but it goes almost halfway past it. Therefore, we get 270 since 270 is halfway past 260 and 280.

Answer:

the answer is D I hope this helps

Answer:

a) The set of real numbers is the union of the set of Irrational numbers and the set of rational numbers.

b) Real numbers have a lot of properties, one example is that they are closed under a lot of operations, like addition or multiplication.

This means that if we have two real numbers A and B:

A + B is also a real number.

A*B is also a real number.

c) A good way to learn Algebra (or math in general) is:

First, read the textbook, have a general idea of the complete topic, if you don't understand something, keep reading, just take note of all the things you don't understand.

Second, ask the things that you do not fully understand, not shame in it, math has a lot of complex relations that sometimes can be really hard to understand, and there are a lot of cases (at least for me) where one can think that understands very well a topic, but it is wrong, so in order to avoid this, ask everything you can.

Third, do a LOT of exercises, the only way in which you can learn to use your equations and relations is applying them in math problems, and it will also help you to understand the meaning of those equations in a more profound way.

Answer:  [tex]-\dfrac{1}{2}[/tex]

Step-by-step explanation:

The coordinate at -30° (-30° = 330°) = [tex]\bigg(\dfrac{\sqrt3}{2},-\dfrac{1}{2}\bigg)\\[/tex]

the x-value is  [tex]\dfrac{\sqrt3}{2}[/tex]

the y-value is  [tex]-\dfrac{1}{2}\\[/tex]

Answer:

-0.5

Step-by-step explanation:

Answer:

[tex]\huge \boxed{ \mathrm{D.} \ \ a^2 +b^2 =c^2}}[/tex]

Step-by-step explanation:

The correct equation for the Pythagorean theorem is:

[tex]\Rightarrow \ \ a^2 +b^2 =c^2[/tex]

c is the length of the hypotenuse of the right triangle

a and b are the side lengths of the right triangle

Answer:

hello your question has some missing parts below is the missing part

Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.

Identify the p-value.

Source DF SS MS F p

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

A) 0.011 B) 4.500 C) 5.17 D) 0.870

answer :  p-value = 0.011 ( A )

Step-by-step explanation:

using this information

Source DF SS MS F P

Factor 3 13.500 4.500 5.17 0.011

Error 16 13.925 0.870

Total 19 27.425

significance level = 0.05

given that the significance level = 0.05

and

F statistics are given as :  F = 5.17 , F critical = 3.25

hence the p-value = 0.011

from the analysis the p-value is less than the significance level is lower than the significance level

Answer:

b and c

Step-by-step explanation:

both are just greater than or less than

Answer:

[tex]3m^4 - 2 + 8 = 3(m^4 + 2)[/tex]

Step-by-step explanation:

Given

[tex]3m^4 - 2 + 8[/tex]

Required

Simplify

[tex]3m^4 - 2 + 8[/tex]

Subtract 2 from 8

[tex]3m^4 - 2 + 8 = 3m^4 + 6[/tex]

Factorize

[tex]3m^4 - 2 + 8 = 3(m^4 + 2)[/tex]

The expression cannot be further simplified;

Hence;

[tex]3m^4 - 2 + 8 = 3(m^4 + 2)[/tex]

None of the options answers the question

The eigenvalues of the 5 x 5 matrix are 0 (multiplicity: 2), 6 (multiplicity: 1), 9 (multiplicity: 1) y 1 (multiplicity: 1).

The eigenvalues of the 5 x 5 matrix are represented by the roots of the characteristic polynomial. The multiplicity of a eigenvalue is the number of times that a root is repeated.

Now we proceed to determine the roots of the characteristic polynomial by algebraic means:

[tex]p = \lambda^{5}-24\cdot \lambda^{4}+189\cdot \lambda^{3}-486\cdot \lambda^{2}[/tex]

[tex]p = \lambda^{2}\cdot (\lambda^{3}-24\cdot \lambda^{2}+189\cdot \lambda -486)[/tex]

[tex]p = \lambda^{2}\cdot (\lambda -6)\cdot (\lambda - 9)\cdot (\lambda - 1)[/tex]

The eigenvalues of the 5 x 5 matrix are 0 (multiplicity: 2), 6 (multiplicity: 1), 9 (multiplicity: 1) y 1 (multiplicity: 1).

To learn more on eigenvalues, we kindly invite to check this verified question: https://brainly.com/question/5596684

Answer:

m=3

Step-by-step explanation:

The equation of the line is in slope-intercept form, or:

y=mx+b

where m is the slope and b is the y-intercept. The slope is multiplied by x and the y-intercept is added or subtracted from that.

The equation of the line is:

y=3x+7

3 and x are being multiplied, therefore 3 is the slope. 7 is added to 3x, therefore 7 is the y-intercept.

The slope is 3, or 3/1. Therefore, on a graph, the line will rise 3 up, then run 1 to the right.

The slope of the line is 3.

Answer:

Graph 11, 14, and 15 are proportional

But I'm not 100% sure ;>;

Answer:

20

Step-by-step explanation:

Square root of 388=19.6977156

20

Answer:

12

Step-by-step explanation:

-------------

Plugging in values of a and b and simplifying to get answer:

Answer is 12

Answer:

3/8

Step-by-step explanation:

Since it is 15/40 hours originally, what we need to do is just simplify this fraction.

The numerator and denominator are both divisible by 5.

3/8

Answer:

88

Step-by-step explanation:

We are given the expression:

x+43x

and asked to evaluate when x=2. Therefore, we must substitute 2 in for x.

x + 43 x (plug 2 in for each x )

2+43(2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 43 and 2 first.

2+ (43*2)

2+ 86

Add 2 and 86.

88

The expression x+43x when evaluated for x=2 is 88.

Answer:

1

Step-by-step explanation: