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

Option A is the correct answer. An equation for a tangent to the graph of y=arcsiny/2 at the origin is x-2y = 0

The given equation is:

y=arcsiny/2---(1)

So to find the equation of the tangent line we required Fielding's first slope and we can find the slope by differentiating the equation of graft with respect to X.

The second thing we require is the point, also we have to find the slope accessible to zero

dy/dx=1/2/√1-x^/4

Also given that points meet at the origin means (0,0) the values of x, and y is 0 and substituted in the derivative equation, we get

y'(0)=1/2

y-0=1/2(x-0)

2y-0=x

x-2y=0

Therefore, An equation for a tangent to the graph of y = arcsin y/2 at the origin is x-2y=0

To know more about the tangent of a graph:

https://brainly.com/question/29003449

#SPJ4

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

Read more about Slope at: https://brainly.com/question/3493733

#SPJ1

The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

The answer is: Pm= pm/n

Answer:

Step-by-step explanation:

1) BD bisects ∠ABC                 Given

2) ∠BDA ≅ ∠BDC                     Given

3) BD ≅ BD                                Reflexive property

4)Δ BDA ≅ ΔBDC                     A S A congruent

2) 1.ST ≅ UV                                Given

2.∠WST ≅ ∠WVU   Alternate interior angles, ST //UV and SV transversal              

3. ∠WTS≅∠WUV    Alternate interior angles, ST//UV and Tu transversal.

4. ΔWST ≅ΔWUV       A S A

3) ∠EHF ≅ ∠GHF            Given  FH bisects ∠EHG

2.∠ FEH ≅∠FGH               Given

   FH ≅ FH                        Reflexive property

ΔFEH ≅ΔFGH                  A A S

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

Elizabeth got the better deal

Step-by-step explanation:

Elizabeth bought 4 books for £28 = £28/4 = £7 per book

Success bought 7 books for £63 = £63/7 = £9 per book

The exponential equation modeling this relationship is given as follows:

f(x) = 8(0.5)^x.

An exponential equation is modeled by:

f(x) = a(b)^x

In which:

For this problem, we have that when x = 0, y = 8, hence a = 8. Then:

f(x) = 8(b)^x.

When x = 1, y = 4, hence b is found as follows:

f(x) = 8(b)^x.

4 = 8b

b = 0.5.

Hence the equation is:

f(x) = 8(0.5)^x.

More can be learned about exponential equations at https://brainly.com/question/25537936

#SPJ1

Answer:

1. $15.80

2. $12

3. $11.06

Step-by-step explanation:

Step-by-step explanation:

1. Buying 20 single candy bars at regular price

The regular price of one is 79 cents.

(# of bars) X (price per bar) = regular price

20 X 79 cents = 1580 cents

1580 cents = $15.80

2. Buying 20 bars in packs of 5

Each pack is $3

(# of packs) X (price per pack) = pack price

(20/5) X ($3) = pack price

4 X $3 = $12

3. Buying 20 bars at special price

For every 2 bought, 1 is free.

(Number of bars paid for) X (price per bar) = special price

(2(20/3)) X (0.79) = special price

14 X 0.79 = $11.06

Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.

Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.

Answer:

5x, 4x and x.

Step-by-step explanation:

Like Terms. "Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. So say we have 4,5,and 3x. 4 and 5 would be like terms because they are just whole numbers. If we added another number with a coefficient of x, it would be 3x's like term. It's not as simple though, because a number having letters doesn't just make it a like term. It has to be the same letter(s). 4x and 5y are not like terms but 4x and 5x would be. 4xy and 5yz are not like terms but 5yz and 6yz would be like terms.

Hope this helps!

To learn more about like terms go to https://brainly.com/question/11361920 !

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

<95141404393>

Answer:

let (5,4)=(x1,y1)

(-3,-2)=(x2,y2)

now, by using distance formula

we get distance between line segment =10 unit

therefore distance =10 units ans

Solution,

As the formula...

\( = \sqrt{( - 3 - 5 {)}^{2} + ( - 2 - 4 {)}^{2} } \)

\( = \sqrt{( - 8 {)}^{2} + ( - 6 {)}^{2} } \)

\( = \sqrt{64 + 36} \)

\( = \sqrt{100} \)

= 10 units...

☘☘☘....

Answer:

2/6

Step-by-step explanation:

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

For more question on profit

https://brainly.com/question/1446002

#SPJ8

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Answer:

1<x<3

x <  -4

Hopefully that helps :)

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

Learn more about the equation of the parabola on https://brainly.com/question/4074088

#SPJ1

The lengths of the legs of the 45 - 45 - 90 right triangle are equal to 4 / √2. (Right choice: C)

The figure shows a right triangle, whose internal angles are 45°, 90° and 45°. According to Euclidean geometry, the sides of the right triangle have the following relationship:

The length of the hypotenuse is √2 times the length of any of its legs.

Thus,

r = √2 · x = √2 · y

Where:

If we know that r = 4, then the length of any of the legs of the right triangle is:

x = y = r / √2 = 4 /√2

To learn more on right triangles: https://brainly.com/question/29301480

#SPJ1

Answer:

this is a multiple choice question and the answer to this question has been highlighted in bold letters.

Based on a confidence interval, the best way to get a decision on a hypothesis test is for you to fail to reject the null hypothesis (that is, you will have to accept the null hypothesis) if the hypothesized value for the parameter that is being tested is within the confidence interval.

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

For more such on questions on percentage

https://brainly.com/question/30744872

#SPJ8

Answer:

Linear

Step-by-step explanation:

Answer:

x is less than or equal to 64/-3

Answer:

Second and fourth

Step-by-step explanation:

A line is in point-slope form when you write down as \(y-y_0=m(x-x_0)\) - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.

Answer:

None of the answers are equivalent, as written.  B comes the closest, but there is no "=" sign, so it is not an equation.  It is an expression.  But it does make one wonder if the second "+" was mistyped, and should have been a "+," instead.

Step-by-step explanation:

x=150-6y

x+6y=150   [Not x+6y+150]

Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

Step-by-step explanation:

(x, y) =

(3, $390)

(5, $620)

y = ax + b

390 = 3a + b

620 = 5a + b

2. equation minus 1. equation

230 = 2a

a = 115

390 = 3×115 + b = 345 + b

45 = b

y = 115x + 45