Which lines are parallel to 6x + 3y = 2 (Select all that apply)
A.y-1 = 2(x - 1)
B.y-1 =-2(x- 1)
C.12x + 6y = 4
D. y = -2x

Answer:

1

Step-by-step explanation:

The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.

Answer:

D. 87

Step-by-step explanation:

Mode is the number that shows up most often.

Answer:

her

Step-by-step explanation:

To find the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

There are four kings in a deck (one king for each suit: hearts, diamonds, clubs, and spades), and there are four 9s in a deck (one 9 for each suit). However, one card (the king of hearts) is both a king and a 9. Therefore, we need to subtract this overlapping card from our count to avoid counting it twice.

The number of favorable outcomes (drawing a 9 or a king) is 4 (number of kings) + 4 (number of 9s) - 1 (overlapping card) = 7.

The total number of possible outcomes is 52 (since there are 52 cards in a deck).

Now, we can calculate the probability using the formula:

\(\[P(\text{{9 or king}}) = \frac{{\text{{Number of favorable outcomes}}}}{{\text{{Total number of possible outcomes}}}}\]\)

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

This fraction cannot be further simplified since 7 and 52 do not share any common factors other than 1.

Therefore, the probability of drawing a 9 or a king from a well-shuffled deck of 52 cards is \(\( \frac{7}{52} \)\).

In LaTeX, the solution can be represented as:

\(\[P(\text{{9 or king}}) = \frac{7}{52}\]\)

To know more about LaTex visit-

brainly.com/question/18882901

#SPJ11

From the triangle KLM inside the circle, the value of KM is calculated. And, the value is 1.2079.

A triangle is a polygon made up of three vertices, three angles, and three sides. First, draw a circle with a midpoint represented by O. Then, draw a triangle KLM inside a circle. Now, construct the line segments KO, MO, and LO because they form the circle's radius.

Given that KL = LM. Since two sides of the triangle KLM is equal, it is an isosceles triangle. Also, ∠K=∠M=17°. The total angle of this triangle is 180°. Then, ∠L=180°-17°-17°=146°.

Half the angle L is 73°. Then, ∠KLO=∠MLO=73°.

Consider triangle KLO, this triangle is also isosceles because KO = LO. Then, ∠KLO=∠OKL=73°.

Now, ∠KOL is calculated as follows from the triangle KLO,

\(\begin{aligned}\angle KOL&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}\)

Similarly, consider triangle MLO, this triangle is also isosceles because LO=MO. Then, ∠MLO=∠OML=73°.

Now, ∠LOM is calculated as follows from the triangle MLO,

\(\begin{aligned}\angle LOM&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}\)

Then,

\(\begin{aligned}\angle KOM&=\angle KOL+\angle LOM\\&=34^{\circ}+34^{\circ}\\&=68^{\circ}\end{aligned}\)

Using, the cosine law of the triangle KOM, we get,

\(\begin{aligned}(KM)^2&=1.08^2+1.08^2-2(1.08)(1.08)\cos 68^{\circ}\\&=2.3328-2.3328(\cos 68^{\circ})\\&=2.3328(1-\cos 68^{\circ})\\&=2.3328(0.6254)\\&=1.4589\\KM&=\sqrt{1.4589}\\&=1.2079\end{aligned}\)

Therefore, the required answer is 1.2079.

To know more about the isosceles triangle:

https://brainly.com/question/29774496

#SPJ4

Answer:

x = 55 degrees

Step-by-step explanation:

Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.

=> x = 180-75-50

=> x = 55 degrees

Answer:

55

Step-by-step explanation:

The sum of angles triangles will always be 180

75 + 50 is 135

180-35 = 55

The 50th derivative of y=cos2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

Consider y=cos 2x

Derivative: The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Finding the nth derivative means to take a few derivatives (1st, 2nd, 3rd…) and look for a pattern. If one exists, then you have a formula for the nth derivative. To find the nth derivative, find the first few derivatives to identify the pattern.  Apply the usual rules of differentiation to a function, then find each successive derivative to arrive at the nth.

The first derivative is

\($$\begin{aligned}& y^{\prime}=-2 \sin 2 x \\& =-2\left[\cos \left(2 x+\frac{\pi}{2}\right)\right]\end{aligned}$$\)

The second derivative is

\($$y^{\prime \prime}=-2^2\left[\cos \left(2 x+2 \cdot \frac{\pi}{2}\right)\right]$$\)

Similarly, we get the \(n^{th}\) derivative

\($$y^n(x)=-\left[2^n \cos \left(2 x+n \frac{\pi}{2}\right)\right]$$\)

When n=50

\($$\begin{aligned}& y^{50}(x)=-\left[2^{50} \cos \left(2 x+50 \cdot \frac{\pi}{2}\right)\right] \\& y^{50}(x)=-2^{50} \cos (2 x)\end{aligned}$$\)

Therefore, the \(50^{th}\) derivative of y = cos 2x is \(& y^{50}(x)=-2^{50} \cos (2 x)\).

For more such questions on derivatives

https://brainly.com/question/29020856

#SPJ4

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

To know more about the probability visit:

https://brainly.com/question/31321667

The height of the pyramid is 16 feet.

What is Pythagoras Theorem?

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the height of the pyramid.

The slant height of the pyramid is the hypotenuse of a right triangle whose legs are the height of the pyramid and half the length of the base of the pyramid. Since the base is a square, half the length of the base is 12 feet.

Using the Pythagorean theorem:

height² + 12² = 20²

height² = 20² - 12²

height² = 256

height = 16 feet

Therefore, the height of the pyramid is 16 feet.

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ4

Answer:

-3

Step-by-step explanation:

The function needs to be restricted to one side of the axis of symmetry, which has equation \(x=-3\).

Answer:

Let's actually find the line of best fit...

m=(nΣyx-ΣyΣx)/(nΣx^2-ΣxΣx)

m=(11*836-130*55)/(11*385-3025)

m=2046/1210  

m=93/55

b=(Σy-93Σx/55)/n

b=(55Σy-93Σx)/(55n)

b=(7150-5115)/(55*11)

b=185/55, so the line of best fit is:

y=(93x+185)/55

A)  The approximate y-intercept (the value of y when x=0) is 185/55≈3.36.

Which means that those who do not practice at all will win about 3.36 times

B) y(13)=(93x+185)/55

y(13)≈25.34

So after 13 months of practice one would expect to win about 25.34 times.

\(\huge\text{Hey there!}\)

\(\huge\textsf{GUIDE TO FOLLOW: }\)

• \(\large\textsf{2 negatives equal positive}\)
• \(\large\textsf{2 positives equal positive}\)
• \(\large\textsf{1 negative \& 1 positive equal negative}\)
• \(\large\textsf{1 positive \& 1 positive equal negative}\)

\(\large\textsf{SOME OPERATIONS MAY BE DIFFERENT THAN OTHERS!}\)

\(\large\textsf{ANYWHO, LET US ANSWER THIS QUESTION, SHALL WE? }\)

\(\mathsf{(-12)(-8)}\)

\(\mathsf{= 12(8)}\)

\(\mathsf{= 96}\)

\(\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{96}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The approximate percentage of men with heights between 155 cm and 197 cm is 100 %.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline used to estimate the percentage of data that falls within a certain number of standard deviations from the mean in a normal distribution.

To use the empirical rule, we need to determine the number of standard deviations that correspond to the given heights. First, we calculate the z-scores for the lower and upper bounds of the height range:

Lower bound: z = (155 - 176) / 7 = -3
Upper bound: z = (197 - 176) / 7 = 3

Now, we can apply the empirical rule. According to the rule:

- Approximately 68% of the data falls within 1 standard deviation of the mean.

- Approximately 95% of the data falls within 2 standard deviations of the mean.

- Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Since the range between -3 and 3 standard deviations covers the entire distribution, we can conclude that approximately 100% of the data falls within this range.

Therefore, the approximate percentage of men with heights between 155 cm and 197 cm is 100%.

To know more about standard deviations refer here:

https://brainly.com/question/12402189

#SPJ11

Answer:

The perpendicular bisector theorem states that if XY bisects another line segment AB, creating perpendicular angles, then, the line segment XA & XB are congruent to each other.

The length of WY is 7.3. Since WZ is perpendicular to line XY, XZ= ZY and WX= WY. Since WX= 7.3, then WY also must equal 7.3

Using generic rectangle the multiplication were carried out to get

b. (2x - 7)²

To multiply (2x - 7)², Using generic rectangle

(2x - 7)(2x - 7)

4x²,  -14x

-14x,  49

sum  

= 4x² - 14x - 14x + 49

= 4x² - 28x + 49

Verification of the diagonal

Diagonal 1: The product of the top left cell and the bottom right cell, which is (4x²) times (49) = 196x²

Diagonal 2: The product of the top right cell and the bottom left cell, which is (-14x) times (-14x) = 196x²

hence diagonal 1 = diagonal 2

a. (4x - 1)(3x + 5)

To multiply (4x - 1)(3x + 5), Using generic rectangle

12x²,  20x

-3x,    -5

sum  

= 12x² + 20x - 3x - 5

= 12x² + 17x - 5

Verification of the diagonal

Diagonal 1: The product of the top left cell and the bottom right cell, which is (12x²) times (-5) = -60x²

Diagonal 2: The product of the top right cell and the bottom left cell, which is (20x) times (-3x) = 60x²

hence diagonal 1 = diagonal 2

Learn more about generic rectangle at:

https://brainly.com/question/29078383

#SPJ1

Answer:

multiply

Step-by-step explanation:

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Given:

Radius of circle, r = 2 cm

Central angle, θ = 140 degrees

Let's find the area of the shaded region.

To find the area of the shaded region apply the formula:

Where:

θ is the central angle = 140 degrees

r is the radius = 2 cm

Thus, we have:

Therefore, the area of the shaded region in terms of π is 1.6π cm².

ANSWER:

1.6π cm²

Answer:

1759400

I like that a lot actually !!

Step-by-step explanation:

Have A Wonderful Day !!

Answer: E

Step-by-step explanation:

2 * 6 = 12

(45/360) *[(2)(6)(π)] = (3/2)π

The length is 1.5π +12 (16.71...)

This answer is not any of the suggested ones, so the answer is E.

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

Learn more about ASA Congruence Theorem:
https://brainly.com/question/13671709
#SPJ1

Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

To know more about function visit:
https://brainly.com/question/31062578

#SPJ11s.

Answer:

mdmfnndhhdhdnd brnrnhruh hehrbfb hfnfnfbj bdnbdhdh hxhhn ndnnjnxnamkdjjfjfjjdjz hzjsuklshhwhhhèushhhhhdhhhshdùunvcn n nn nn nn n b ncjjnndnhshsb bsbbdnnnns nndnfnkkdgdhp1 gyduia

The equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Given a  quadratic function for the transformations given  the function f(x) = x²

If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value

Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Learn more here: https://brainly.com/question/15381183

Step-by-step explanation:

\(f( \frac{2}{3} x) = \frac{4}{9} {x}^{2} - 1 \\ \frac{4}{9} {x}^{2} - 1 = 0 \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} \\ x = - \frac{3}{2} \)

we have three points of the graph

(0,-1) min point

and those two values for x.

so: