PLEASEHELP 50 POINTS ALGEBRA 2

The slope of the passing line through the origin is 112.5°.

The slope of a line is given as a tangent ratio.

In this case we have the angle, so the slope would be given as

      tan(7π/8).

Therefore,

The angle the line makes with the horizontal is given in radians here:

                     7π/8

In this degrees, we can use:

180° = π radians

1 radian = 180°/π

5π/8 radians = 5π/8 × 180° /π

                     =5π/8 × 180°/π

                     =112.5°

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There are 12 even integers are there between 200 and 700 whose digits are all different and come from the set (1, 2, 5, 7, 8, 9}.

What is number of permutation?

Take the number of possibilities for each event and multiply it by itself X times, where X is the total number of events in the sequence, to determine the number of permutations.

For instance, four-digit PINs have 10 possible combinations because each digit can range from 0 to 9.

We see that the last digit of the 3 -digit number must be even to have an even number. Therefore, the last digit must either be 2 or 8.

Case 1 - the last digit is 2. We must have the hundreds digit to be 5 and the tens digit to be any 1 of {1,7,8,9}, thus obtaining 4 numbers total.

Case 2 - the last digit is 8. We now can have 2 or 5 to be the hundreds digit, and any choice still gives us 4 choices for the tens digit. Therefore, we have 2 x 4 = 8 numbers.

Adding up our cases, we have 4 + 8 = 12 numbers.

Hence, there are 12 even integers are there between 200 and 700 whose digits are all different and come from the set (1, 2, 5, 7, 8, 9}.

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Complete question:

how many even integers are there between 200 and 700 whose digits are all different and come from the set (1, 2, 5, 7, 8, 9}.

The given expression is showing an inequality.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given that, -7x > -35

The given expression is showing  inequality where -7x is greater than -35

On simplifying, we get,

-7x > -35

7x < 35

x < 5

Therefore, x is less than 5

Hence, The given expression is showing an inequality.

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The midpoint of points Q(9.3) and R(1,1) will be M(5,2).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the two endpoints of QR are Q(9.3) and R(1,1). The midpoint will be calculated as,

Midpoint = [x₁ + x₂]/2 , [y₁ + y₂] / 2

Midpoint = [(9 + 1 ) /2 , ( 3 + 1 ) / 2

Midpoint = 5, 2

M is the midpoint of points Q(9.3) and R(1,1) (5,2).

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Statistics can promote limitations in perception in all the following ways, except by Option C. Considering alternative perspectives when defining variable relationships.

Option C encourages a holistic approach to analyzing statistics, rather than promoting limitations in perception. It encourages the analyst to consider different perspectives when interpreting the data, thus allowing a more comprehensive understanding.

This open-minded approach is essential in order to form valid conclusions. When taking into account multiple perspectives, the analyst is able to come to a more informed conclusion, rather than relying on a single-perspective interpretation. Option C does not promote limitations in perception, as it encourages a more open-minded approach to interpreting the data.

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The factorization of the given expression is -3x(xy+3y-1).

The given expression is -3x²y-3x+9xy².

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The factorization of the given expression is as follows

-3x²y-3x+9xy²

= -3x(xy-1+3y)

= -3x(xy+3y-1)

Therefore, the factorization of the given expression is -3x(xy+3y-1).

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Answer:

In order to prove that (x+3) is a factor of p(x), Serena must show that p(-3) = 0. This means that if we plug -3 into the polynomial p(x), the resulting value must be 0. Therefore, the correct answer is option D, p(-3)=0.

Step-by-step explanation:

The option that has the best insight of how to find the experimental probability of rolling a 3 is option A

A. To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

An experimental probability is a probability based on real  or actual experiment, such that the result depends on the accuracy of the record of the occurrences during the experiment.

The result from the experiment is presented as follows;

Number  [tex]{}[/tex]                                Frequency

1  [tex]{}[/tex]                                           4

2  [tex]{}[/tex]                                          6

3  [tex]{}[/tex]                                          5

4  [tex]{}[/tex]                                          7

5  [tex]{}[/tex]                                         3

6  [tex]{}[/tex]                                         5

The probability of an event is the ratio of the number of possible outcome to the number of required outcome.

Therefore: The probability of rolling a three is the ratio of the frequency of an outcome of threes to the sum of the frequency of all the events.

The correct option from which the best details of finding an experimental  probability can be obtained is the option that states that the experimental probability of rolling a three is the ratio of the count of the number of times three occurs to the total number of trials, which is the frequency of rolling a three to the sum of all the frequencies in the experiment.

Mathematically, we get;

The probability of an event E, P(E) = [tex]\frac{Number\, of \, outcomes \, three}{Total \, number \, of \, outcomes}[/tex]

Therefore

[tex]P(3) = \dfrac{Number\, of \, times \, three\, occurs }{Total\, number \, of \, trials} = \dfrac{Freqiuency\ of \ 3s }{Sum\ of \ ther \ frequencies}[/tex]

[tex]P(3) = \dfrac{5}{4+6+5+7+3+5} =\dfrac{1}{6}[/tex]

The correct option is option A

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The probability that a randomly chosen plate contains the number 2222 is 0.000028 approximately.

The probability that a randomly chosen plate contains the sub-string HI is 0.002548  approximately.

Given that:

The license plate was in the form of 3 letters followed by 3 digits or 2 letters followed by 4 digits.

Part (A)

Let A be the way the symbol is three letters followed by three numbers, and B be the way two letters followed by four numbers.

Repetition is allowed here. There are 26 alphabetic characters and 10 unique digits.

If 3 letters followed by 3 numbers, the selection method is:

   26 × 26 × 26 × 10 × 10 × 10

⇒ (26)² ×(10)⁴ = 6760000

The number of possibilities is 17576000 + 6760000 = 24336000

contains the digits 2222.

That is, the first two letters can be any alphabet, but the remaining digits he must be 2222. Disk contains number 2222:

   (26) ² = 676

Probability that randomly selected disk contains number 2222:

676/24336000 ≈ 0.000028

Part (B):

Selected disk contains substring HI Number of possibilities:

3 letters followed by 3 digits, the disc has Un

26 × 1 ×10³ × 1 × 26 ×10³

2 letters followed by 4 digits, the number of possible ways is as follows.

1 × 10⁴

So the total number of ways a randomly chosen plate contains the substring HI is:

620000/24336000 ≈ 0.002548

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Step-by-step:

2 | 3x + 1 | -4 = 6

2 | 3x + 1 | = 10

| 3x + 1 | = 5

| 3x + 1 | = ±5

Solve for both: 3x + 1 = -5 AND 3x + 1 = 5

3x + 1 = - 5

3x = - 6

x = -2

3x + 1 = 5

3x = 4

x = 4/3

x = -2, 4/3

Answer:

3

Step-by-step explanation

An icosahedron have 36 interior diagonals.

Given that:

Icosahedron :

Faces = 20 =F

Vertices = 12 = V

Edges = ? = E

For convex 3-dimensional polyhedral Euler's formula:  or

    E = V + F -2

⇒ E = 12 + 20 - 2

⇒ 30

Interior diagonals :

[tex]\left[\begin{array}{ccc} Vertices\\2\end{array}\right] - Edge[/tex]

= [tex]\left[\begin{array}{ccc} 12\\2\end{array}\right][/tex] - 30

= 12/2 × 11/1 - 30

= 66 - 30

= 36

An icosahedron has 36 interior diagonals.

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Answer:Binary Variable

Step-by-step explanation:Binary variable: a variable that can only take on two values, usually 0/1.

The simple interest rate would be 20%. The result is obtained by using the simple interest formula.

The interest of an amount of money can be counted by the following formula.

I = P₁ - P

I = P × r × t

Where

Jesse now has $65,000 and he deposit it in an account. After 18 years, he wishes the balance will grow into $300,000. Determine the simple interest rate!

First, let's find the interest.

I = P₁ - P

I = $300,000 - $65,000

I = $235,000

The simple interest rate is

I = P × r × t

235,000 = 65,000 × r × 18

r = 235,000 / 1,170,000

r = 0.201

r ≈ 20%

Hence, the simple interest rate he would need to deposit his money is 20%.

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Therefore, the solution to the given problem is a) ME= 1.93 and b) confidence interval= (19.59,23.45)

Using test statistics to judge statistical hypotheses is a widespread technique. A test statistic, which is a count of a data set that can be used to run the test and simplifies the data to a single number, is a common approach to express a hypothesis test.

Here,

a) Sample of customers is 64, population standard deviation is 6 and confidence level is 99%

Sample mean= 21.52

Sample size= 64

Confidence level= 99%

Population standard deviation= 6

Standard error of the mean= 0.75

Z-value= -2.5758 (From Z table)

Interval half width= 1.9319

Margin of error at 99% confidence interval is 1.93 from the output.

b) Confidence interval

Interval upper limit= 19.59

Interval lower limit= 23.45

99% confidence interval is (19.59, 23.45) from the output.

ME= (23.45- 19.59)/2 = 1.93

Therefore a) ME= 1.93 b) confidence interval= (19.59,23.45)

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The reason asking why the problem occurred This frequently identifies problems with the organization or places where processes need to be addressed.

The process is remarkably straightforward: whenever an issue arises, you ask "Why?" five times to get to the bottom of it. Then, when a remedy emerges, you put it into action to stop the problem from happening again.

The nice thing about 5 Whys is that it challenges you to move beyond blaming and question why that occurred.

This frequently identifies problems with the organization or places where processes need to be addressed.

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We can conclude that the given situation of Andy is perfectly represented by a graph (A).

The set of ordered pairs is the graph of a function f in mathematics, where These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.

To develop a graph is to make a diagram that depicts the relationship between two or more objects.

Make a sequence of bars on graph paper as an example of a graph.

So, we know that:

Andy pedals rapidly.

Then maintain the speed for some time.

Then again, he rapidly pedals the bike he has.

Then suddenly, he put breaks.

All these details are shown in graph (A).

(Refer to the attached (A) graph below)

Therefore, we can conclude that the given situation of Andy is perfectly represented by a graph (A).

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A manufacturing plant has two assembly lines for producing glass bottles. The manager

was concerned about whether the proportion of defective bottles differs between the two

assembly lines. She gathered two independent samples and found the following data:

n 1 =100, ^p 1 =.1,n 2 =100, ^p 2 =.13.

(a) Set up the appropriate null and alternative hypotheses.

(b) Compute the value of the test statistic.

(c) Draw a conclusion as to whether there is a difference between the two assembly lines

Answer:

Step-by-step explanation: first we need to add 4 to 48 with will give us 52, then if we divide 52 by 4 we will get the answer for the price per pizza, 52 divided by 4 is 13 with means that Mr. Lee paid 13 dollars per pizza.

26.3 feet is the radius of the curve if the middle ordinate measures 4.8 feet when using a chord with a length of 42ft.

The radius of the curve is 26.3 feet.

1. Use the equation: 2r = chord length/sin of the angle between the chords.

2. Plug in the chord length Just use the chord length formula as follows: Chord length is equal to 2(r2-d2), where r is the circle's radius and d is the chord's perpendicular distance from its center.(42ft) and the middle ordinate (4.8ft) and solve for r.

3. 2r = 42/sin (4.8/2) = 42/ sin 2.4 = 26.3

4. Round answer to the nearest tenth of a foot (one place after the decimal): 26.3 feet.

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Answer:its 14

Step-by-step explanation:

Answer: 1 1/2 / 1.5

Step-by-step explanation: So, if you divide 3 by 4, you should get 0.75, then you would multiply that to get 1.5 or 1 1/2 (as a fraction) I think this is the question you asked, but if so, I hoped this helped!

The sample size should be 24.

What is the sample size?

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Here, we have

Given

Margin of error = 300

confidence level = 0.9

standard deviation = 900

Assuming the standard deviation to be of population

ME = Z(0.1/2) × σ/√n

300 = 1.645 × 900/√n

n =  {(1.645 × 900)300}²

n = 24

Hence, the sample size should be 24.

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(12x+5y)/3z

substitute in values

(12(12) + 5(6)) / 3(3)

simplify

(144 + 30) / 9

add

174 / 9

factor out a 3

58 / 3

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Therefore , the p- value is 0.008 , thus half of population is supporting.

A hypothesis is a proposed explanation for a phenomenon. The scientific method states that a theory cannot be deemed scientific unless it has been put to the test. The majority of scientific ideas are founded on historical findings that are insufficiently explained by current knowledge.

Here,

test statistics Z=

Z = [tex]\frac{p-p'}{\sqrt{p'(1-p')/n} }[/tex]

for

H0 : p= 0.5

And

Ha: p>0.5

Z =(0.585-0.5) / ((0.5)(0.5)/200)

Z=2.4

Since p =x/n=117/200=0.585

Thus

p- value= P(Z>2.4)=1-Ф(2.4)=1-0.992 =0.008

Therefore , the p- value is 0.008 , thus half of population is supporting.

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[tex]11.5x+10.9y[/tex] when x is 6 and y is 7

Substitute:

[tex]11.5(x)+10.9(y)[/tex]

[tex]11.5(6)+10.9(7)[/tex]

Solve:

[tex]11.5\times6=69\\10.9\times7=76.3[/tex]

[tex]69+76.3[/tex]

[tex]=\fbox{145.3}[/tex]

Traffic accidents occur according to a poisson distribution.

The probability mass function of the total number of accidents between 8 a.m. and 11 a.m is

P(Z = z) = (e⁻⁸× 8ᶻ) /z! ; z = 0, 1, 2, ...........

= 0 ; otherwise

Let X be the random variable that denotes the number of traffic accidents occurring between 8 am and 9 am.

X ~ P(5) and P(X) = 5

Let Y be random variable that denotes the number of traffic accidents occurring between 9am and 11 am.

Possion process with rate 3 accidents per hour

Y~ P(3)

Let Z be random variable that denotes the number of traffic accidents occurring between 8a.m. and 11 am.

For 8 a.m. to 11 a.m. ,P(Z = X+Y) = P(Z = 3+5 = 8)

Possion probability mass function for it is

P(x, λ ) =(e⁻λ λˣ)/x!

The p.m. f of the total number of accidents between 8 am and 11 am is

P(Z = z) = (e⁻⁸× 8ᶻ) /z! ; z = 0, 1, 2, ...........

= 0 ; otherwise

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Therefore , the test statistic comes out to be t = 8.645.

A test statistic is a statistic used in statistical hypothesis testing .A hypothesis test is typically expressed as a test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to perform the hypothesis test.

Here,

Parameter = u1 - u2

where

[tex]{X^{'}_{1}[/tex] = 3.27

[tex]{X^{'}_{2}[/tex] = 2.95

S1=0.23 and S2=0.29

So using formula

=> t = [tex]\frac{X^{'}_{1} - X^{'}_{2} }{Sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }[/tex]

=> t = [tex]\frac{3.27 - 2.95 }{0.23\sqrt{\frac{1}{100} +\frac{1}{100} } }[/tex]

=> t = 9.838

and

=> t = [tex]\frac{3.27 - 2.95 }{0.29\sqrt{\frac{1}{100} +\frac{1}{100} } }[/tex]

=> t = 7.802

thus,

=> t = (9.838 + 7.802) / 5 =8.645

thus t = 8.645

Therefore , the test statistic comes out to be t = 8.645.

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The value of c for the angle of the triangle will be 7.34.

Congruence and likeness tests in geometry require comparing matching sides and angles of polygons. Each side and angle in one polygon is paired with a side or angle in the second polygon in these tests.

Given that in triangle LMN, m∠L = (6c + 35)°. If the exterior angle to ∠L measures 79°,

The value of angle c will be calculated as,

(6c + 35)° = 79°

Apply the mathematical operations and solve further,

6c = 79 - 35

6c = 44

c = 7.34

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Answer:

To find the product of 1/4 and 1/6, we need to first find a common denominator. In this case, we can use the least common multiple of 4 and 6, which is 12. We can then rewrite 1/4 and 1/6 as 6/12 and 2/12, respectively. The product of these two fractions is then 6/12 * 2/12 = (6 * 2)/(12 * 12) = 1/12. Therefore, 1/4 x 1/6 = 1/12.

Alternatively, we can simply cancel out common factors in the numerator and denominator of the two fractions before multiplying them. In this case, we can cancel out the common factor of 1 in the numerator and the common factor of 4 in the denominator to get 1/4 * 1/6 = 1/(4 * 6) = 1/24.

Both methods give us the same answer, so we can use either one to solve this problem.

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

We want to multiply fractions

1           1

---   *   ----

4            6

Multiply the numerators

1 * 1 = 1

Multiply the denominators

4 * 6 = 24

The result is

1           1             1

---   *   ----   =    -----

4            6          24