Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?
a. Yes, they are independent
b. No, they are not independent

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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Answer:

UT=11

Step-by-step explanation:

UV is twice the length of RS. Since UV=11 then RS=22. UT is also twice the length of RS. So if RS=22, then UT=\(\frac{1}{2} * 22\). UT=11

Answer:

8(7+6)

Step-by-step explanation:

(A) Darius is at least 36 inches tall.

(C) William’s height is less than 68 inches.

(F) Darius is no more than 4 inches taller than twice William’s height.

Step-by-step explanation:

edge2022

The inequality w < 68 can be written as William’s height is less than 68 inches.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.

Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')

Here, d ≥ 36

Darius is at least 36 inches tall.

w < 68

William’s height is less than 68 inches.

d ≤ 4 + 2w

Darius is no more than 4 inches taller than twice William’s height.

Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.

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The aquarium have a length, width and height measuring 6 m each

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The volume of a cube is the product of its length, width and height. But all the sides are equal, hence:

Volume = length * width * height = length * length * length = length³

A cube aquarium For Five Sea lions has a Volume of 216m³. Hence:

Volume = length³

Substituting:

216 = length³

length = 6 m

The aquarium have a length of 6 m.

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Answer:

i dont know

Step-by-step explanation:

figure it out yourself

Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x  we know that  arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2  Find the measure of angle DPA

we know that  The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

Answer:

BC = 50

Step-by-step explanation:

AB and AD are congruent, thus

AB = AD, that is

5x + 10 = 3x + 18 ( subtract 3x from both sides )

2x + 10 = 18 ( subtract 10 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

BC = 12x + 2 = 12(4) + 2 = 48 + 2 = 50

90 cubic feet  is the volume of the rectangular prism.

A polyhedron with two congruent and parallel bases is a rectangular prism.

It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism.

It is referred to as a prism because of the length of its cross-section. The study of shapes and the arrangement of objects is known as geometry.

The surface area and volume of a rectangular prism are similar to those of other three-dimensional forms.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces).

The prism's faces are all rectangular in shape. There are three sets of identical faces as a result.

According to our question-

V = Base x Height is the formula for a rectangle prism.

V = 18 x 5 square feet.

V = 90 cubic feet

Hence, 90 cubic feet  is the volume of the rectangular prism.

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Answer:

17/21

Step-by-step explanation:

Because i had that question and it was 17/21

Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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1

Explanation:

7/7 - 2/5

Using compatible numbers:

7/7 = 1 as it is closer and equal to 1

so we have: 1 - 2/5

2/5 is approximately 0 as it is closer to 0 than 1

= 1 - 0 = 1

7/7 - 2/5 using compatible number = 1

Answer:

∠ ABC = 127°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle , then

∠ ABC = ∠ BDC + ∠BCD = 60° + 67° = 127°

We know that we have a triangle and we want to find the value of its angle which will be given by  53°.

We know that the sum of all the interior angles of a triangle must equal 180 degrees, so we find then:

\(ABC=180\)

Now making the sum of the angles already known and equating to 180, we find that:

\(180=67+60+x\\x=180-127\\x= 53\)

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Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = \(\frac{1}{2}base * height\\\\\)

                          = \(\frac{1}{2}*28*24\)

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      \(= \frac{22}{7}*14*14\\\\= 22 * 2 * 14\)

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle

Answer:

Below in bold.

Step-by-step explanation:

m < DAC  = 360 -15 - 155 - 166

                = 24⁰

The bearing of D from A

                = 180 + 15 + 24

                 =  219⁰

or S 39⁰ W.

Answer:

I believe the answer is D.25

Step-by-step explanation:

Hope this helps!!

Answer:

Answer: 18∘   and 162∘  

Step-by-step explanation:

Delta math

Answer: 2.75N = 80

Step-by-step explanation:

Let the the number of times that Ben can ride the train each month be represented by N.

Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:

2.75N = 80

N = 80/2.75

N = 29 times

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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a)  a calculator, we can evaluate this as: log3(6) ≈ 1.631

b) log5(258) ≈ 0.431 + 2.107 ≈ 2.538.  To find log3(6), we can use the change of base formula to convert it to a logarithm with a base that our calculator can handle.

(a) Using the change of base formula, we have:

log3(6) = log(6)/log(3)

Using a calculator, we can evaluate this as:

log3(6) ≈ 1.631

(b) If we perform the calculation in part (a) using In (natural logarithm) in place of log, we will not get the same result. We need to use the correct base for the logarithm.

The logarithm of a number raised to a power is the same as the power times the logarithm of the number. So for any base b, we have:

logb(x^n) = n * logb(x)

In the case of log5(258), we have:

log5(258) = log5(2*129) = log5(2) + log5(129)

We can use the change of base formula to evaluate these logarithms as:

log5(2) ≈ 0.431

log5(129) ≈ 2.107

Therefore,

log5(258) ≈ 0.431 + 2.107 ≈ 2.538

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Answer:

9/10=$1.08

2=$1.19

3 1/10=$1.30

10=$1.99

Step-by-step explanation:

9/10-1/10=8/10

8/10x0.10=0.08

1+0.08=1.08

Same process for all the rest

An unlimited number of acute triangles can be formed from two sides without an angle measurement, such as a = 10 m and b = 10 m.

As an illustration -

If our side lengths are 10m and 10m, and our angle value goes from 0 to 90 degrees, how many different acute triangles can we create?

Construct a triangle with sides of 10 and 10 metres, an angle of 45 degrees, and a third side that can be extended to the desired length. You have built a triangle.

By changing the third side's length and angle, we can make a whole different triangle that is identical to this one.

Never forget to choose the side lengths and angles. There is a suggestion that you might decide to take a different step. The same angles can be used to make an unlimited number of different triangles.

As a result, with a single angle and a single side length, we can create an endless number of triangles.

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Answer:

\(-4(16-18)\), \([16 + (-18)](-4)\)

Step-by-step explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday = \((16-18)\°F\)

Temperature on Wednesday = \(-4(16-18)\°F\)

So, expression \(-4(16-18)=(16-18)(-4)\) can be used to describe the low temperature on Wednesday.

Also,

\((16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}\)

So, expression \([16 + (-18)](-4)\) also represent temperature on Wednesday.

Answer:

(16 – 18)(–4)

[16 + (–18)](–4)

Step-by-step explanation: Answers for Edge

Step-by-step explanation:

Continuous compounding formula is  

  P e^(rt)       r  is decimal interest per year    t is number of years

we want to double out initial investment (it doesn't matter what the amount is....just double it   '2' )

2 = e^(.015 * t )      < ==== solve for 't'    LN both sides to get

ln 2  = .015 t

t = 46.21 years

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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The geometric transformation shown in the line of music notation is a reflection. The Option B is correct.

In music notation, a line with notes on one side and rests on the other side is a reflection of the original line. This is because the line appears to be flipped horizontally with the notes and rests switching sides while maintaining the same distance from the line.

A glide reflection or translation would involve shifting the line horizontally or vertically without flipping it while the true reflection involves flipping the line across a mirror axis. Therefore, the transformation shown in the line of music notation is a reflection.

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Answer: x= anything less than or equal to 5.

Step-by-step explanation: Because if you plug 5 in the answer for the equation on the right is 60. 60 is less than or equal to 60.

Answer: x ≤ 5

11x + 5 ≤ 60

⇔ 11x ≤ 60 - 5

⇔ 11x ≤ 55

⇔ x ≤ 55/11

⇔ x ≤ 5

Step-by-step explanation:

Answer:

divide by 4, 12, 21

Step-by-step explanation:

first, look at 20, and 5. How do you get there?

well, there are 2 possible ways.

20/4=5, or 20-15=5

we take it into the next pattern to get

44/4=11, and 44-15=29.

so now we know that the rule is to divide by 4

____________________________________________

36/4 = 12

84/4=21

Answer:

1. 36 / 4 = 9

2. 84 / 4 = 21

Rule: The input divided by 4. (I / 4 = O)

Step by Step explanation:

Look at the first input and output, what do you see? Well, 5 is a multiple of 20, but if 5 is the output, this means that instead of multiplication we're doing division. How many times does 5 go into 20? 4 times, so that's our rule, I / 4 = O. If we use this rule for the rest of the questions, you get the answer.