What is the missing angle measure

What is the value of x? x−1/6=8 Enter your answer in the box in simplest form.

Gnoma [55]

X = 8 16/99 is fraction form

3 0

3 years ago

The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gi

german

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

8 0

3 years ago

Any one help thx I'm just stuck on this

MArishka [77]

Answer:

A) 9 => 6 => 3 => 0 => -3 => -6

B) Using Formula

$a_{n}= a_{1} + d(n-1)$

=> $a_{n } = 9+3(n-1)$

=> $a_{n}= 9+3n-3\\a_{n} = 3n+6$

Answer: $a_{n }= 3n+6$

5 0

3 years ago

Trainees must complete a specific task in less than 2 minutes.Consider the probability density function below for the time ittak

grigory [225]

Answer:

1) P(X<1) = 0.5850

2) P(X>1) = 0.41500

3) P(0.68 < X < 1) = 0.0013

4) E(X) = 0.8867 minute

5) E(X²) = 1.1064

6) Var(X) = 0.3202

Step-by-step explanation:

Probability density function = f(x) = 0.67 - 0.17x (for 0 < x < 2)

1) The probability a trainee will complete the task inless than 1 minutes is given as P(X<1)

And,

P(X<1) = 1 - P(X≥1)

P(X≥1) = ∫²₁ f(x) dx = ∫²₁ (0.67 - 0.17x) dx = [0.67x - 0.085x²]²₁ = [0.67(2) - 0.085(2²)] - [0.67(1) - 0.085(1²)] = (1) - (0.585) = 0.415

P(X<1) = 1 - P(X≥1) = 1 - 0.415 = 0.5850

2) The probability that a trainee will complete the task inmore than 1 minutes is given as P(X>1)

And

P(X>1) = 1 - P(X≤1)

P(X≤1) = ∫¹₀ f(x) dx = ∫¹₀ (0.67 - 0.17x) dx = [0.67x - 0.085x²]¹₀ = (0.67(1) - 0.085(1²)) = 0.67 - 0.085 = 0.585

P(X>1) = 1 - P(X≤1) = 1 - 0.585 = 0.4150

3) The probability it will take a trainee between 0.68minutes and 1 minutes to complete the task. P(0.68 < X < 1)

P(0.68 < X < 1) = P(X<1) - P(X>0.68)

P(X<1) = 0.5850 (from question number 1)

P(X>0.68) = 1 - P(X≤0.68)

P(X≤0.68) = ∫⁰•⁶⁸₀ f(x) dx = ∫⁰•⁶⁸₀ (0.67 - 0.17x) dx = [0.67x - 0.085x²]⁰•⁶⁸₀ = (0.67(0.68) - 0.085(0.68²)) = 0.4556 - 0.039304 = 0.416296 = 0.4163

P(X>0.68) = 1 - P(X≤0.68) = 1 - 0.4163 = 0.5837

P(0.68 < X < 1) = P(X<1) - P(X>0.68) = 0.585 - 0.5837 = 0.001296 = 0.0013 to 4d.p

4) Expected value = E(X) = Σ xᵢpᵢ = ∫²₀ x f(x) dx (that is, a sum of all the products of possible values and their respective probabilities)

∫²₀ x f(x) = ∫²₀ x(0.67 - 0.17x) = ∫²₀ (0.67x - 0.17x²) dx = [0.335x² - 0.0567x³]²₀ = [0.335(2²) - 0.0567(2³)] = 1.34 - 0.4533 = 0.8867 minute.

E(X) = ∫²₀ x f(x) = 0.8867 minute

5) E(X²) = Σ xᵢ²pᵢ = ∫²₀ x² f(x)

∫²₀ x² f(x) = ∫²₀ x²(0.67 - 0.17x) = ∫²₀ (0.67x² - 0.17x³) dx = [0.2233x³ - 0.0425x⁴]²₀ = [0.2233(2)³ - 0.0425(2)⁴] = 1.7864 - 0.68 = 1.1064

6) Variance = Var(X) = Σx²p − μ²

where μ = E(X) = 0.8867 minute

Σx²p = ∫²₀ x² f(x) = 1.1064

Var(X) = 1.1064 - 0.8867² = 0.3202

5 0

2 years ago

If sin theta = (sqrt 3)/2, which could not be the value of theta? A. 60 degrees B. 120 degrees C. 240 degrees D. 420 degrees I k

sineoko [7]

Your are right, $\pi /3$ and 2 $\pi /3$ are solutions.
Of course each of these solutions can be replaced by the same number +k2 $\pi$ (with k being an element of Z) since sin x=sin (x+k2 $\pi$ ) with k being an element of Z.
Those are angle measures expressed in radians.
If you translate in degrees you basically have to know that $\pi$ radian=180 degrees
so $\pi /3$ radian=60 degrees and 2 $\pi /3$ =120 degrees. So this two could be values of theta (A and B).
On top of that $\pi /3+2 \pi$ could also be a solution (x+k2 $\pi$ with k=1). This can be translated to 60+360=420 degrees which is solution D.
So C. 240 degrees is the only one that could not be a value of theta.

6 0

3 years ago