PLEASE HELP ME!!!!!!

Answer:

From the image, we can see that ∠AOC = ∠AOB + ∠BOC

We are given the following values:

∠AOC = 104

∠AOB = 7x + 30

∠BOC = 9x + 42

Plugging these values in the equation above:

∠AOC = ∠AOB + ∠BOC

104 = 7x + 30 + 9x + 42

104 = 16x + 72

16x = 32

x = 2

Now that we have the value of x, we can easily find the value of ∠BOC

We are given that:

∠BOC = 9x + 42

∠BOC = 9(2) + 42           (since x = 2)

∠BOC = 18 + 42

∠BOC = 60°

Therefore, ∠BOC is 60 degrees

Answer:

D) There were 176,400 samples of the orchestra music taken every second

Step-by-step explanation:

Just did the test

Answer:A

Step-by-step explanation:

the correct choice is: B. The numbers in the pattern are odd.

To determine if the numbers in the pattern are even, odd, or alternate between even and odd, let's examine the first few numbers in the pattern:

First number: 41

Second number: 41 - 4 = 37

Third number: 37 - 4 = 33

Fourth number: 33 - 4 = 29

As we can see, the numbers in the pattern are decreasing by 4 in each step. The first number (41) is odd, and subsequently, each number is decreasing by an even value (4). Therefore, all the numbers in the pattern will be odd.

So, the correct choice is:

B. The numbers in the pattern are odd.

Learn more about pattern here

https://brainly.com/question/11170254

#SPJ2

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

Learn more on z-score here;

https://brainly.com/question/29367643

#SPJ1

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

For more such question on Quadrilateral. visit :

https://brainly.com/question/23935806

#SPJ8

Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

Gianna ran 40 miles over the course of 17 weeks.

Mark me brinilylist

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

For more such questions on implicit differentiation visit:

https://brainly.com/question/25081524

#SPJ8

Answer:

y=2x+6

Step-by-step explanation:

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

<95141404393>

The probabilities using online binomial probability distribution are;

A) P(X = 10) = 0.03082

B) P(X ≥ 12) = 0.89

C) P(X ≤ 17) =  0.96

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability. It is given by the formula;

\(P(X = x) = ^{n}C_{x} * p^x * (1 - p)^{n - x}\)

where:

Px = the probability of exactly x events occurring.

x = the number of expected successful outcomes.

n = number of trials

p = probability of success

A) We want to find P(X = 10)

Here;

p = 70% = 0.7

number of trials; n = 20

x = 10

Thus;

P(X = 10) = 20C10 * (0.7)¹⁰ * (1 - 0.7)⁽¹⁷ ⁻ ¹⁰⁾

P(X = 10) = 0.03082

B) We want to find P(at least 12 makes), which is expressed as;

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15) + P(16) + P(17) + P(18) + P(19) + P(20)

Using online binomial probability calculator gives;

P(X ≥ 12) = 0.89

C) We want to find Probability that P(at most 17 makes) which is expressed as;

P(X ≤ 17) = 1 - (P(18) + P(19) + P(20))

P(X ≤ 17) = 1 - (0.02785 + 0.00684 + 0.0008)

P(X ≤ 17) = 0.9645 ≈ 0.96

Read more about Binomial Probability distribution at; https://brainly.com/question/9325204

#SPJ1

A:

6(8+6)

= 48+36

=84

B: 12(4+1)

=48+12

=60

C:

4(44+3)

=176+12

=188

D:

8(6+4)

=48+32

=80

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ9

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

Answer:

-14

Step-by-step explanation:

4+7=11 so therefore -3-11=-14

Answer:

The negative quotient of three times the sum of four and seven

Step-by-step explanation:

\(.\)

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Answer:

2 > x or x < 2

Step-by-step explanation:

-1 + 6(-1 - 3x) > -39 - 2x

-1 - 6 - 18x > -39 - 2x

-7 - 18x > -39 - 2x

32 > 16x

2 > x or x < 2

the reason that x < 2 is because of the negative sign. I solved it so that x stays positive but if you solve the equation with x on the other side like -16x > -32 then when you divide by -16 it changes to x < 2

PLEASE RATE!!! I hope this helps!!

(I have verified my answer on an online calculator)

The sample space of repeated experiment S: {PW, WP, PP, WW}  represents the outcome of spinning a spinner twice with 2 equal sections colored pink (P) and white (w).(4th option).

Getting the same result by an experiment which is repeated again is called repeated experiment. If the οutcοming results can be replicated, then it means they are mοre likely tο be accurate.

Here,

In the given repeated experiment, each spin οf the spinner results in either a pink οr white which is  being selected. Since the spinner is spun twice, there are fοur pοssible οutcοmes:

1) PW (pink fοllοwed by white),

2) PP (pink fοllοwed by pink),

3) WW (white fοllοwed by white),

4) WP (white fοllοwed by pink).

The sample space S cοnsists οf these fοur pοssible οutcοmes.

Hence, The cοrrect οptiοn is 4. That is the repeated experiment represented by the sample space is spinning a spinner twice with 2 equal sectiοns cοlοred pink and white.

To know more about repeated experiment

https://brainly.com/question/1646340

#SPJ1

Answer:

0.5 feet of snow

Step-by-step explanation:

6 inches is half of a foot because 1 foot = 12 inches.

6 inches / (12 inches / 1 foot) = 0.5 feet of snow

Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

Answer is true.

Hope this helps.

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

|-3| means "the absolute value of 3", which is a way of saying how far away from zero the number -3 is on the number line.

The definition of absolute value goes like this:

\(|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}\)

In other words, if the number \(x\) inside the absolute value bars is already positive or zero, we leave it alone. If instead \(x\) is negative, we multiply it by -1 to recover the positive version of that number.

Since -3 is negative, it follows that |-3| = -(-3) = 3. So the expression 3 |-3| is equivalent to 3 • 3 = 3² = 9.

Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

Learn more about the tangent theorems on:

https://brainly.com/question/28039126

#SPJ1

Answer:

27

Step-by-step explanation:

First solve 3a - 9= 6

3a - 9 = 6 add 9

3a = 15 divide by 3

a = 5

Now that you know a is 5, put that in the other expression.

5a + 2

= 5(5) + 2

= 25 + 2

= 27

Answer:

28,42,56,70,84

Step-by-step explanation:

Answer:

14,28,42,56,70

Step-by-step explanation:

hope it helps