In a 7 game series played with two teams, the first team to win a total of 4 games is the winner. Suppose that each game played is independently won by team A with probability p. a) Given that one team leads 3 to 0, what is the probability that it is team A that leads? b) Given that one team leads 3 to 0, what is the probability that that team with the lead wins the series?

Answer:

a

Step-by-step explanation:

aa

so we have a rectangular pyramid and 2 students

the volume, V of this figure

V=1/3 *l*w*h

h=8, l=10 , w=12

V=320

kieran is correct, not Diego, it is not multiplying the base, but the base area

the next part is dividing

Volume is V=320 cm^3

the volume is correct

V=320

if you multiply anything by 1/3 is the same as divinig by 3

6x 1/3=2

same as 6/3=2

Answer:c

Step-by-step explanation:

Did the test

Answer:

D. 2:1 & 6:3

Step-by-step explanation:

Proportion means equal so we need to see which ratios are equal.

To do that we need to make one fo the numbers in the ratio equal the corresponding number in the other ratio, then see if the other matches.

A:

1:2 & 4:2

The second number is already the same but the first isn't, therefore it is not proportional.

B:

1:2 & 6:3

To get 1 to equal 6 we must multiply it by 6, and what you do to one side you must do to the other so we have to multiply 2 by 6 as well

6:12 & 6:3

The first numbers are the same but the second isn't, therefore it is not proportional.

C:

2:1 & 2:4

The first numbers are the same but the second isn't, therefore it is not proportional

D:

2:1 & 6:3

to get 2 to equal 6 we need to multiply it by 3, which means we have to multiu 1 by 3 too

6:3 & 6:3

These are equal so this is proportional.

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The blue figure is moved 5 units to the right (T(5, 0)), reflected in the y-axis (r(y-axis)), and then rotated 90 degrees counterclockwise (R(-90)).

Translation: Move the blue figure 5 units to the right (translation of 5 units to the right, denoted as T(5, 0))

Reflection: Reflect the figure in the y-axis (denoted as r(y-axis))

Rotation: Rotate the figure 90 degrees counterclockwise (denoted as R(-90))

The series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).To better understand this, let's break down the transformations. The first transformation is a translation, which is a movement of a figure from one location to another. In this case, the figure is being moved 5 units to the right. This is denoted as T(5, 0).The second transformation is a reflection, which is a flip of a figure over a line or axis. In this case, the figure is being reflected in the y-axis. This is denoted as r(y-axis).The third transformation is a rotation, which is a turn of a figure around a point. In this case, the figure is being rotated 90 degrees counterclockwise. This is denoted as R(-90).Therefore, the series of transformations that moves the blue figure to the red figure is T(5, 0) followed by r(y-axis) followed by R(-90).

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The graph of function g is graph Z because the graph of function g is the result of a horizontal compression applied to the graph of function f

Function f(x) is given as:

\(f(x) = (\frac 12)^x\)

Function g(x) is given as:

g(x) = f(kx)

The above represents a horizontal compression of function f(x) to form function g(x)

The graph that represents a horizontal compression is graph Z

Hence, the graph of function g is graph Z

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Yes, the triangles must be cοngruent. This can be justified by the Cοnverse οf the Pythagοrean Theοrem

Cοngruency refers tο the prοperty οf having the same size and shape. Twο geοmetric figures are said tο be cοngruent if they have identical measurements οf angles and sides.

Yes, the triangles must be cοngruent. This can be justified by the Cοnverse οf the Pythagοrean Theοrem, which states that if a perpendicular line is drawn frοm the vertex οf the right angle οf a right triangle tο the hypοtenuse, then the twο smaller triangles fοrmed are similar tο the οriginal triangle and tο each οther.

Since an isοsceles triangle can be cοnsidered a special case οf a right triangle where the hypοtenuse is alsο a leg, the Cοnverse οf the Pythagοrean Theοrem applies and the twο smaller triangles fοrmed by the perpendicular line are cοngruent.

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Answer:

can i have a photo, please?

Step-by-step explanation:

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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Answer:

7.3

Step-by-step explanation:

Biggest value = 8.9

smallest value = 1.6

range = 8.9-1.6 = 7.3

Step-by-step explanation:

range=highest number - lowest number

= 8.9 - 1.6

=7.3

Answer:

where is the figure or picture

The appropriate domain for this situation is t ≥ 0.

This is because the height of the rocket is a quadratic equation, which can only be positive. Thus, the time after launch must be greater than or equal to 0.

The domain can be calculated by solving the quadratic equation for t. To do this, the equation must be rearranged to the form \(ax^2 + bx + c = 0\). After rearranging, the equation is \(16t^2 - 112t - 60 = 0\). Using the quadratic formula, the two solutions for t are t = 3.75 and t = -4.25. Since the time after launch must be a positive value, the only valid solution is t = 3.75. Therefore, the domain of this equation is t ≥ 3.75. However, since this is a toy rocket, it is reasonable to assume that the launch time was 0, which would make the domain t ≥ 0.

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The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

Answer:

\( - 6x = 3 {x}^{2} + 9 \\ 3 {x}^{2} + 6x + 9 = 0 \\ {x}^{2} + 2x + 3 = 0 \\ so \\ ether \: x = - 2 \\ or \: x = 1 \)

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

The probability of picking an ace of hearts from a standard deck of playing cards is 1/52.

Consider a standard deck of cards.

We know that a standard deck of cards contains 52 cards.

So, total number of cards in the standard deck of cards = 52 cards

Now, we have to assume that there are no jokers in the set of cards.

We have to find the probability of picking an ace of hearts from a standard deck of playing cards.

For that we need to first find the number of cards which are ace of hearts.

Number of cards which are ace of hearts = 1

Probability of picking an ace of hearts from a standard deck of playing cards is,

P = Number of ace of hearts / Total number of cards

  = 1/52

Hence the probability is 1/52.

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Answer:

4 5/12 feet tall

Step-by-step explanation:

All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.

Answer:

Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)

Step-by-step explanation:

Leon older brother is 19/4 feet tall or 57/12.

Leon is 1/3 or 4/12 foot shorter than his brother.

57/12-4/12= 53/12

Answer:

Which is the graph of the inequality? 3y−9x≥9

Step-by-step explanation:

Which is the graph of the inequality? 3y−9x≥9

Answer:

168 = L + 2W

And you want to maximize LW.

Which means you want to maximize W (168 - 2W), or 168W - 2W^2.

To maximize that, the derivative must go to zero.

0 = 168 - 4W, or W = 42. And L = 84. Done. :-)

Step-by-step explanation:

The value of test statistic is -5.83.

statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In other words, it is a mathematical discipline to collect, summarize data. Also, we can say that statistics is a branch of applied mathematics. statistic = (sample proportion - hypothesized  proportion)/ standard error.

The decimal system is a number system that uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent all possible numbers. It is also known as the base-10 system because each digit represents a power of 10. For example, in the number 123, the digit 3 represents 10^0 (which is 1), the digit 2 represents 10^1 (which is 10), and the digit 1 represents 10^2 (which is 100). The decimal system is widely used in everyday life and is the most common number system used around the world.

Here, the sample proportion is 0.9 (90% of 1146 adults said they have a cell phone), and the hypothesized proportion is 0.97 (the claim that fewer than 97% of adults have a cell phone).

The standard error can be calculated as:

standard error = sqrt[(hypothesized proportion * (1 - hypothesized proportion)) / sample size]

Substituting the values, we get:

standard error = \(\sqrt{(0.97*0.03)/1146}\) = 0.012

Now, substituting all the values in the formula for the test statistic, we get:

test statistic = (0.9 - 0.97) / 0.012 = -5.83

Rounding to two decimal places, the value of the test statistic is -5.83.

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The area of Triangle ACE from the given diagram is; 150 sq.units

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

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Answer:

Step-by-step explanation:

-2x + 7(1/2) =15

-4x +7 =30

-4x =23

x=-23/4

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

  x    ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Since it had the lowest mean absolute deviation, his scores were closest together in Math.

Hence, lower values of the mean absolute deviation means that the scores are closer, and thus his scores were closest together in Math.

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The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Back to Ten Facts -When subtracting two integers when the digit in the ones place is the same and the larger number has a 1 in the tens place, the result is 10 (for example, 15-5=10, 13-3=10, 12-2=10, etc.).

Subtraction:

Subtraction symbolizes the process of removing elements from a collection. The negative sign represents subtraction. If, for example, four of the nine oranges that are stacked together (as in the figure above) are then relocated to a basket, the stack will now only contain five oranges as opposed to nine. Thus, 5 is equal to 9 less 4 and is the difference between 9 and 4. In addition to natural numbers, other kinds of numbers can also be subtracted. The symbol for subtraction is the letter "-." The difference, the minuend, and the subtrahend are the three numerical components that make up the subtraction operation.

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