"Currently, only 20 percent of arrested drug pushers are convicted", cried candidate AK in a campaign speech. "Elect me and you'll see a big increase in convictions" A year after his election a random sample of 144 case files of arrested drug pushers showed 36 convictions. For a right-tailed test, find the p-value. A. 0.12 B. 0.07 C. 0.06 D. 0.04

Answer:

70%

Step-by-step explanation:

42/60 = 7/10

Answer:

Therefore, 3/4 - 2/3 = 1/12.

Step-by-step explanation:

To subtract two fractions with different denominators, we need to find a common denominator. In this case, we can use the least common multiple (LCM) of 4 and 3, which is 12.

3/4 - 2/3 = (3/4) * (3/3) - (2/3) * (4/4) (multiplying both fractions by a form of 1 to get a common denominator of 12)

= 9/12 - 8/12 (simplifying the fractions)

= 1/12

Therefore, 3/4 - 2/3 = 1/12.

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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The largest δ value of the given limit \(\lim_{x \to 1^+} \frac{1}{x^2-1}=\infty\) and M=1000 is calculated. The required δ value is \(\delta=\sqrt{1+10^{-3}}-1\).

When no values are defined, a limit is used to assign values to certain functions. It is possible to assess the limits using algebraic techniques. A collection of guidelines for manipulating limits when using other operators is known as the algebra of limits. Given the expression  \(\lim_{x \to 1^+} \frac{1}{x^2-1}=\infty\)  and M=1000. When x>1, we write this expression as,

\(\begin{aligned} \frac{1}{x^2-1}& > 1000\\x^2-1& < 1000^{-1}=10^{-3}\\x^2& < 10^{-3}+1\\x& < \sqrt{1+10^{-3}}\end{aligned}\)

Now, choosing, \(\delta=\sqrt{1+10^{-3}}-1\) when we have δ > 0. Therefore, \(\sqrt{1+10^{-3}} > 1\). Then, \(x\in(1, 1+\delta)\). This is given by,

\(\begin{array}{ccc}1& < x& < 1+\delta\\1& < x& < \sqrt{1+10^{-3}}\end{array}\)

This implies, \(\frac{1}{x^2-1} > 1000=M\).

Therefore, the largest δ value will be \(\sqrt{1+10^{-3}}-1\).

The complete question is -

For each limit, use graphs and algebra to approximate the largest δ or the smallest magnitude N that corresponds to the given value of ∈ or M, according to the appropriate formal limit definition.

\(\lim_{x\to 1^+} \frac{1}{x^2-1}=\infty\), M=1000, find largest δ > 0.

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Answer:

1/5

Step-by-step explanation: 60/12+48-53+5

The empirical probability that the die should land on five is 1/5.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know that empirical probability is a type when the outcome of the next event depends upon the occurrence of the previous events.

Given  A six-sided die is rolled 60 times and the die landed on the number five a total of 12 times.

Here no. of sample space N(S) = 60 and N(5) = 12.

∴ The probability of occurrence of number five(5) is = N(5)/N(S) = 12/60.

= 1/5.

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This is the graph I hope this helps

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Answer:

x=0 or x=2 or x=−4 or x= (7)(2)

Step-by-step explanation:

Answer:

x = 1/2 or .5

Step-by-step explanation:

JK = 7x + 2, KL = 5x + 4 and JL = 12

JK + KL = JL

Plug in the equations for the Lines

7x + 2 + 5x + 4 = 12

Combine like-terms

12x + 2 + 4 = 12

12x + 6 = 12

Subtract 6 from either side

12x + 6 = 12

      -6      -6

12x = 6

Divide either side by 12

12x / 12 = 6/ 12

x= 1/2 or .5

Answer:

$4.30 for 2 glass panes

Step-by-step explanation:

15.05/7=2.15

$2.15 per glass pane

2.15(2)=4.30

$4.30 for 2 glass panes

Answer:

Step-by-step explanation:

The length of the fence must be 618cm

The volume that it can hold is 1,909,620 cm³

First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:

C = П*D

Here we use П = 3, then:

C = П*206cm

C = 3*206cm = 618cm

Now the volume, for a cylinder of diameter D and height H, the volume is:

V = П*(D/2)²*H

Replacing the values that we know we will get:

V = 3*(206cm/2)²*60cm = 1,909,620 cm³

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

$200.86

i think that's right

If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.

Mean = 1085.2 cm³

Standard deviation = 125.6 cm³

Hence,

Lower limit = Mean - 2 x Standard deviation

Lower limit  =1085.2 - 2 x 125.6

Lower limit =1161.2 - 251.2

Lower limit  =910

Upper Limit = Mean + 2 x Standard deviation

Upper Limit = 1161.2 +  2 x 125.6

Upper Limit =1161.2 +251.2

Upper Limit =1412.4

The limit of values is from 910 to 1412.4.

A value below 910 will be is considered low and a value above 1412.4  will be considered high

Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.

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The reflection of the graph in the x-axis gives the function

g(x) = -x² - 3x - 2

The given function is of the form f(x) = x² + 3x + 2 which represents a parabola.

The vertex of the function is at (-3/2 , -1/4)

The focus is at ( 3/2 , 0 )

The axis of symmetry is 2x+3 = 0 and the directrix is at 2x + 1 = 0

Now when the parabola is reflected along the x-axis we get

the focus at ( -3/2 , 0 )

the vertex is at  (-3/2 , 1/4)

Axis of symmetry remains the same

The directrix becomes 2y-1 =0

The red graph denotes the function f(x) while the blue graph denotes the function g(x) reflected on the x-axis.

Hence the reflection on the x-axis gives the function g(x) = -x² - 3x - 2

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You can not delete a question, comment, or answer once it is posted.

However, it will most likely get deleted by an BRAINLY® official because it is not related to anything academic.

Answer:

chill nothing to worry about

Step-by-step explanation:

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

63x-44

Step-by-step explanation:

7(9x - 6) - 2

63x-42-2

put the like terms together

63x-44

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

Answer:

y° = 130°

Step-by-step explanation:

The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.

Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)

y° and the angle adjacent to y° form a linear pair on a straight line.

Therefore:

y° + 50° = 180° (linear pair)

subtract 50 from each side

y° + 50° - 50° = 180° - 50°

y° = 130°

Answer:

See Explanation

Step-by-step explanation:

Given:

See Attachment

Required

Complete the table

From the question, we understand that:

\(1m^2 = 10.75\ tiles\)

So:

When square meters = 1

\(X = 10.75 * 1\)

\(X = 10.75\)

When square meters = 10

\(X = 10.75 * 10\)

\(X = 107.5\)

Assume any value of square meter for the third row;

Say: square meters = 20

\(X = 10.75 * 20\)

\(X = 215\)

When square meters = a

\(X = 10.75 * a\)

Answer:

107.5

Step-by-step explanation:

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

Answer:

30:5  48:8  54:9

Step-by-step explanation:

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%. The answer is: 6 over 31.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability can be expressed as a fraction, decimal, or percentage.

The question asks for the experimental probability of drawing a 3, 5, or 7 from a deck of cards, given the frequency table provided.

The frequency table tells us how many times each card was drawn out of a total of 100 draws.

To calculate the frequency of drawing a 3, 5, or 7, we add the frequencies of these cards: 4 (for 3) + 6 (for 5) + 6 (for 7) = 16. Note that we do not include the frequencies of any other cards.

To calculate the probability of drawing a 3, 5, or 7, we divide the frequency of these cards (16) by the total number of draws (100): 16/100 = 0.16. This means that in our experiment, we drew a 3, 5, or 7 approximately 16% of the time.

The total number of draws is 100, and the frequency of cards 3, 5, and 7 is 7+6+6=19.

Therefore, the experimental probability of drawing a 3, 5, or 7 is:

19/100 = 0.19

This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%.

Therefore, the answer is: 6 over 31.

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Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 = 1/9