Stacy performed an experiment in which she flipped a coin three times. The list below shows all the possible combinations of the outcome of the experiment.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Is Stacy more likely to flip a heads on the first try or flip a tails on the second two tries of the experiment?

A. Stacy is more likely to flip a tails on the second two tries of the experiment, because 4/8 > 2/8

B. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8

C. Stacy is more likely to flip a tails on the second two tries of the experiment, because 6/8 > 4/8

D. Stacy is more likely to flip a heads on the first try of the experiment, because 6/8 > 4/8

Answer:

6/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Answer:

1/4+1/3+1/8

=17/24

Step-by-step explanation:

1-17/24

=7/24

7/24×240

=70

When the value of f(x) = log4x as x approaches +∞ Both have an asymptote of x = 0 and Both have a domain of all real numbers. Hence, option B and D are correct.

The graphs of f(x) = log2x and g(x) = log10x are similar in shape, both being increasing and concave down. As x approaches +∞, the value of f(x) = log4x approaches +∞ as well, since log4x grows without bound as x gets larger and larger.

The correct options are B and D. The graphs of f(x) = log2x and g(x) = log10x are similar in that both increase from left to right and have a domain of all real numbers. Both have an asymptote of x = 0. As x approaches +∞, the value of f(x) = log4x approaches +∞ as well.

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Complete question - In the problems below, f(x) = log2x and

g(x) = log10x.

How are the graphs of f and g similar? Check all that apply. What happens to the value of f(x) = log4x as x approaches +∞?

A. Both have a y-intercept of 1.

B. Both increase from left to right.

C. Both have an asymptote of x = 0.

D. Both have a domain of all real numbers.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Answer:

BELOW

Step-by-step explanation:

The equation ( you need to commit to memory) is:

FV = PV ( 1+i)^n      FV = future value    PV = present value(270)

                                     i = decimal interest per PERIOD = .15

                                       n = # of periods = 3  (it is an ANNUAL Period)

FV = 270 ( 1 + .15)^3 = 410.63 dollars

Answer:

$410.64

Step-by-step explanation:

start with the compound interest formula

plug in p=270 , r=0.15 (divide 15 by 100 to get 0.15), n=1, and t=3

divide 0.15 by 1 to get 0.15

multiply the exponents 1 and 3 to get 3

add 1 and 0.15 to the 3 th power to get 1.520875

multiply 270 and 1.520875 to get 410.63625

so if you invest $270 at an interest rate 15%, which is compounded 1 times a year for 3 years, the return is about $410.64 (which is rounded to the nearest cent)

Then you'll have $410.64 in 3 years.

The tree diagram which shows all the possible sandwich combinations is the last tree diagram which shows 8 combinations.

Given that,

Arlo is making a sandwich.

He will choose one type of bread, one type of meat, and one type of cheese.

His choices for bread are wheat (W) and rye (R).

His choices for meat are turkey (T) and ham (H).

His choices for cheese are cheddar (C) and swiss (S).

We can start the combinations with two parts W and R.

For each of this, there will be the combinations of meat and cheese.

The combinations can be :

W - T - C

W - T - S

W - H - C

W - H - S

These 4 combinations will be for R also.

Hence the correct option is the last figure.

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Answer:

not bullying this easy tho if u ever run into a problem try

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/10-9%20%60times%20%20(-6)?r=bi&ref=bi

Step-by-step explanation:

\( = {4}^{ - 2} \times {7}^{ - 2} \)

\( = {(4 \times 7)}^{ - 2} \)

\( = {28}^{ - 2} \)

\( = \frac{1}{ {28}^{2} } \)

Answer:

Q1: 48

Q2: 59

Step-by-step explanation:

Answer:

1. 48

2. 53

you can see that they are the same length as the one across from it so what the one across from it, is the answer

Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

a= -19 :)

Step-by-step explanation:

thats it lol

Answer:

a= -19

Step-by-step explanation:

I worked it out too

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

Answer:

a = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−2=

3+6a

3

a+−2=2a+1(Distribute)

a−2=2a+1

Step 2: Subtract 2a from both sides.

a−2−2a=2a+1−2a

−a−2=1

Step 3: Add 2 to both sides.

−a−2+2=1+2

−a=3

Listen go to Mathpapa it helps and shows step by step

Answer:

a = -3

Step-by-step explanation:

a - 2 = (3 + 6a)/3

Divide 3 + 6a by 3.

a - 2 = 1 + 2a

Subtract 2a from both sides.

-a - 2 = 1

Add 2 to both sides.

-a = 3

Multiply the equation by -1.

a = -3.

Proof:

a - 2 = (3 + 6a)/3

Substitute variable.

-3 - 2 = (3 + 6(-3))/3

Multiply inside parenthesis.

-3 - 2 = (3 + 18)/3

Add inside parenthesis.

-3 - 2 = (-15)/3

Divide.

-3 - 2 = -5

Subtract.

-5 = -5

Answer:

x = -4.5

Step-by-step explanation:

\(20 = 2 - 4x\)

\(18 = - 4x\)

\( - 4.5 = x\)

Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

The figure gives a dimension for the hypotenuse of 19

the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:

19^2 = 17^2 + base^2

Simplify:

361 = 289 + base^2

Subtract 289 from both sides:

72 = base^2

Take the square root of both sides:

Base = 8.49 Round to 8.5

There are two identical triangles on each sides, so 8.5 x 2 = 17

The length of the two triangle bases is 17

The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14

And X would be the same length as the bottom rectangle.

Therefore x = 14

Answer:

x = 14

Step-by-step explanation:

Inside the trapezoid, there are two right triangles, with a hypotenuse of 19 and a leg of 17. The other leg can be computed with the help of the pythagorean theorem as follows:

\( {c}^{2} = {a}^{2} + {b}^{2} \\ {19}^{2} = {17}^{2} + {b}^{2} \\ 361 = 289 + {b}^{2} \\ 361 - 289 = {b}^{2} \\ 72 = {b}^{2} \\ \sqrt{72} = {b}^{2} \\ 8.5 = b\)

Now, we can calculate the value of x, as follow;

8.5 + x + 8.5 = 31

17 + x = 31

x = 31 - 17

x = 14

Answer:

false I think the number is prime num and 22 is not prime

Answer:

3) x = -4 and y = 6

4) x = -1 and y = 0

5) x = 1 and y = -3

6) x = -4 and y = -3

Step-by-step explanation:

3) Add the equations:

(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)

= 3y = 18

y = 18/3

y = 6

3x + 4(6) = 12

3x = 12 - 24

x = -12/3 = 4

4) Add the equations:

(-5x - 6y = 5) + (-6x + 6y = 6)

-11x = 11

x = -1

-5(-1) -6y = 5

-6y = 5 - 5

y = 0

5) 7x -4y = 19

10x - 2y = 16

Multiply the second equation by -2 to eliminate the y and add both equations.

-2(10x -2y = 16) =

(-20x + 4y = -32) + (7x - 4y = 19)

-13x = -13

x = 1

7(1) - 4y = 19

-4y = 19-7

y = 12/-4

y = 3

6) multiply the second equation by -2 to eliminate the x and then add the equations.

-2(5x - 3y = - 11) =

(-10x + 6y = 22) + (10x - 9y = - 13)

= -3y = 9

y = - 3

10x - 9(-3) = - 13

10x = -13 - 27

x = -40/10

x = -4

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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The graph of the function f(x) = 4(2/3)^x is added as an attachment

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

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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Answer:

It's 0

Edge said it's 0

The value of the ratio of the cos(x) and the sin(x) is 0.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. These ratios are fundamental in trigonometry and have applications in various fields, such as physics, engineering, and navigation.

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and triangles. It explores the ratios between the sides of a triangle and the angles within that triangle. The word "trigonometry" is derived from two Greek words: "trigonal," meaning "triangle," and "metron," meaning "measure."

The value of the sin(x) is 1. The value of cos(x) is 0.

The formula for the cot(x) is written below:

cot(x) = cos(x) / sin(x)

cot(x) = 0 / 1

cot(x) = 0

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