You randomly choose one of the pens shown. What is the theoretical probability of choosing a black pen?

A drawing shows 2 blue pens, 2 black pens, and 1 red pen.

The theoretical probability is_____
PLS HURRY!

Answer:

tan R = 9/19

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

The value of the trigonometric relation tan R = 9/19

Trigonometry is the study of the correlations between triangle angles and side lengths.

Sine, cosine, tangent, cosecant, sec, and cotone are the six trigonometric functions.

Let the angle be such that sin = opposed to the hypotenuse, cos = next to the hypotenuse, and tan = opposite to the adjacent. Cosec = 1/sin, sec = 1/cos, cot = 1/tan.

Given the data,

Let the triangle be denoted by the symbol RST.

Now, the triangle's other side ST equals nine units.

The triangle's base, RS, is equal to 19 units.

Moreover, the trigonometric relationship is tan R, where R has a value of

The result of substituting the values in the equation is

According to the trigonometric relationship, tan equals opposite or adjacent.

Tan R = ST / RS is the result of simplifying the equation.

tan R = 9 / 19

The trigonometric relationship is therefore tan R = 9/19.

Go here to find out more about trigonometric relationships.

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The question is incomplete as the total number I crosswords required for completion isn't given :

Hypothetically, if the total Number of cross words is taken as x ;

Answer:

2 /x

Step-by-step explanation:

The number of crosswords John did = 1 + 1 = 2

Total number of cross words = x

Fraction of crosswords John did :

2 / total number of crosswords

2 / x

Kindly substitute the actual number of crosswords for X to obtain exact answer.

Answer:

The summer in Maine is either not hot or it is not sunny.

Step-by-step explanation:

Suppose we have two events, A and B.

The negation of A and B is not A or not B.

The summer in Maine is hot and sunny.

Negation of hot an sunny is not hot or not sunny, so the correct option is:

The summer in Maine is either not hot or it is not sunny.

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that [tex]n = 200, \pi = \frac{150}{200} = 0.75[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.}{2} = 0.975[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004[/tex]

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

Answer:

(4,6)

Step-by-step explanation:

quadrant 1 always has positive coordinates so the only one with all positive coordinates is (4,6)

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900

Answer:

6

Step-by-step explanation:

(6-3)+3=6

Answer:

8000cm^3

Step-by-step explanation:

edge(a)= 20cm

volume of cube = a^3

= 20^3

=8000 cm^3

The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]

and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.

Answer:

31 square units

Step-by-step explanation:

The 4 sectors to be cut out are 4 quarters of a circle = 1 full circle

Length of square = 12 units

The radius (r) of the circle = ½ of the length of the square = ½(12) = 6 units

Area of the shaded region = area of the square - area of the circle/4 sectors)

= s² - πr²

s = 12 units

r = 6 units

Plug in the values

Area of the shaded region = 12² - π*6²

= 144 - 113.1

≈ 31 square units (nearest square units)

Answer:

need help too

Step-by-step explanation:

Answer:

5.13 feet...take the horizontal component using given data..

Answer:

[tex] \sqrt[4]{2} = 2 ^{ \frac{1}{4} } = 1.189207[/tex]

Answer:

True: Both sides are equal

Step-by-step explanation:

1. [tex]\sqrt[4]{2}=2^{\frac{1}{4}}[/tex]  

2. [tex]2^\frac{1}{4}=2^\frac{1}{4}[/tex]

3. [tex]\frac{1}{4} = \frac{1}{4}[/tex]  

They are Equal, So it true

So there are infinitely many solutions.

Answer:

[tex]18.83[/tex]

Step-by-step explanation:

For right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan 33^{\circ}=\frac{x}{29},\\x=29\tan 33^{\circ}\approx \boxed{18.83}[/tex]

9514 1404 393

Answer:

  (1, 2)

Step-by-step explanation:

PR and QR are vertical and horizontal line segments, respectively. Then ΔQPR is a right triangle, and segment PQ is the hypotenuse. As such, segment PQ is also a diameter of the circumcircle, and its midpoint is the circumcenter.

  Circumcenter = (P+Q)/2 = ((4, 0) +(-2, 4))/2 = (2, 4)/2

  Circumcenter = (1, 2)

Answer:

Answer C

Step-by-step explanation:

Answer:

answer c

Step-by-step explanation:

trust me

Answer:

Helen kayaked for five hours.

Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.

Answer:

Graph has the greater unit rate.

Step-by-step explanation:

From the graph attached,

Since, graph shows the proportional relationship,

y ∝ x

y = kx

Here, k = unit rate

If the line given in the graph passes through (0.2, 1.5)

Slope of this line will be,

k = [tex]\frac{1.5}{0.2}[/tex]

k = 7.5

Therefore, unit rate = 7.5

Equation of the line given in the question is,

[tex]y=\frac{11}{2}x+3[/tex]

Comparing this equation with the y-intercept form of the equation,

[tex]y=mx+b[/tex]

Slope of this line 'm' = [tex]\frac{11}{2}[/tex]

                                  = 5.5

Unit rate of the given equation = 5.5

Therefore, graph has the greater unit rate.

Answer:

the answer is d.

Step-by-step explanation:

Just plug each value in the x column into the dependent variable equation and see if the dependent variable value is true.

Answer:

D is the correct answer.......

Answer:

1/12

Step-by-step explanation:

[tex] \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} [/tex]

Answer:

Attachment: 1 Image

Step-by-step explanation:

Answer:

c = (d/a) - b

Step-by-step explanation:

a(c + b) = d

Divide both sides by a

c + b = d/a

subtract b from both sides

c = (d/a) - b

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

Answer:

x = 4

∠R = 71°

Step-by-step explanation:

COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.

[tex]31 - 3x + 19x - 5 = 90[/tex]

To make this problem easier to solve, we can combine like terms.

[tex]26 + 16x = 90.[/tex]

Now, we can proceed.

First, subtract 26 from 26 and 90.

[tex]26 - 26 = 0.[/tex] (cancels itself out).

[tex]90 - 26 = 64.\\[/tex]

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.

[tex]64/16 = 4[/tex]

Therefore, the value of x is 4.

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Now that we have the value of x, we can use this value to replace the variable (x).

[tex]19x - 5[/tex]

[tex]19 * 4 - 5 = 71.[/tex]

Therefore, the value of ∠R is 71°.

[tex]\huge{ \mathrm{ \underline{question : }}}[/tex]

How many solutions does the equation have ?

y + 3y - 6 = -2 + 4y + 4

[tex]\huge{ \mathcal{ \underline{ Answer \: \: ✓ }}}[/tex]

The given equation has

[tex] \\ \\ \\ \\ \\[/tex]

B. [tex]\boxed{No \: \: solution}[/tex]

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[tex]\#TeeNForeveR[/tex]

Answer: f (t) = 200 . 0.88t =

Let's solve for f.

ft=(200)(0.88)t

Step 1: Divide both sides by t.

ft

t

=

176t

t

f=176

Answer:

f=176

Step-by-step explanation: