Suppose a person randomly selects one letter from R E S E R V E and then randomly selects a letter from V E R T I C A L. What's the probability the same letter is selected

Answers

Answer 1

The probability that the same letter is selected from the two words is `1/7`.

In order to calculate the probability that the same letter is selected from the two words, we can use the following formula:

`P(A ∩ B) = P(A) × P(B|A)`

Here, A represents the event of selecting a letter from the first word (RESERVE) and B represents the event of selecting a letter from the second word (VERTICAL).

P(A) is the probability of selecting a letter from the first word, which is `6/7` (since there are 7 letters and one is already chosen).

P(B|A) is the probability of selecting the same letter from the second word given that a letter has already been selected from the first word.

Since one letter has already been selected, there are only 6 letters left in the first word, out of which one matches a letter in the second word.

So, P(B|A) = 1/6

Thus,

P(A ∩ B) = P(A) × P(B|A)

`P(A ∩ B) = (6/7) × (1/6)`

P(A ∩ B) = 1/7

Hence, the correct Answer is `1/7`.

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Related Questions

find the first partial derivatives of the function. f(x, y, z) = 6x sin(y − z) w=3zexyz

Answers

The partial derivative of w=3zexyz with respect to z is obtained by differentiating exyz with respect to z, treating x and y as constants. This gives ∂w/∂z = 3exyz.

To find the partial derivatives of the given function f(x,y,z), we need to differentiate the function with respect to each variable, treating the other variables as constants.

We have the function:

f(x, y, z) = 6x sin(y − z) w=3zexyz

Let's find the first partial derivative of f with respect to x, y, and z.

Partial derivative of f with respect to x:

f_x = ∂f/∂x

f_x = 6 sin(y - z)

Partial derivative of f with respect to y:

f_y = ∂f/∂y

f_y = 6x cos(y - z)

Partial derivative of f with respect to z:

f_z = ∂f/∂z

f_z = -6x cos(y - z) + 3exyz

The partial derivative of w=3zexyz with respect to z is obtained by differentiating exyz with respect to z, treating x and y as constants. This gives ∂w/∂z = 3exyz.

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4 movie tickets cost $48. At this rate, what is the cost of:

5 movie tickets?

Answers

Answer:

60 dollars for 5 tickets.

Step-by-step explanation:

4x=48

x=12

5 times 12= 60

Answer:

$60

Step-by-step explanation:

4x=48

x=12 so each ticket costs 12 dollars

so for 5 movie tickets 12x5=60 dollars

so 5 movie tickets would cost 60 dollars

if+the+correlation+between+two+variables+is+.496,+how+much+of+the+variance+has+not+been+accounted+for?++a.+24.6%++b.+49.6%++c.+50.4%++d.+75.4%

Answers

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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If a marathon is
26.2 miles, how
many kilometers
is the race?

Answers

Answer:

Thr Answer is 42.195 kilometers

Answer:

42.16481

Step-by-step explanation:

7+6-9(-2)+(-3) simplify step by step plzzzx​

Answers

=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28


Write two different
expressions to find the total cost of an item
that costs $a if the sales tax is 6%. Explain
why the expressions give the same result.

Answers

The two different expressions that can be used to find the total cost of an item are given by Equation 1: Total cost = $a + 0.06a and Equation 2: Total cost = a(1 + 0.06).

It is given in the question that the cost of the item is $a , and the sales tax on the item is 6%.

Now the total cost of the item can be determined through the following relation:

Total cost = cost of item + sales tax

Now, Cost of item = $a

Sales tax = 6% of a = (6/100)×a

Sales tax = 0.06a

Thus, the total cost is given by:

Total cost = $a + (6% of a)

Total cost = $a + 0.06a

Thus, Equation 1 is expressed as: Total cost = $a + 0.06a

Now, for Equation 2 we take the like term common from the Equation 1.

=> Total cost = $a + 0.06a

=> Total cost = a(1 + 0.06)

Thus, Equation 2 is expressed as: Total cost = a(1 + 0.06).

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< The concession stand at the baseball park sells food in value packs. The ratio in the value pack is 4 hot dogs 2 drinks: 1 bag of chips. A tape diagram representing the ratio of each item is shown. hot dogs drinks chips a. Describe what each small rectangle in the tape diagram represents b. What is the least total amount of items in a value pack? c. How many bags of chips are in a value pack if there are 10 drinks? ​

Answers

Answer:

someone answer please ive been waiting for 2 hours :skull:

Step-by-step explanation:  please answer yall

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 0), (negative 1, 2). (–2, 0) (0, –2) (5, –7) (5, –2)

Answers

Answer:

(0, –2)

Step-by-step explanation:

I am assuming that point 'B' is (-5 , 0).

The translation rule is: \((x,y)\rightarrow(x+5,y-2)\).

Apply the rule to point 'B':

\(\frac{(-5,0)\rightarrow(-5+5,0-2)}{(x,y)\rightarrow(x+5,y-2)}\rightarrow\boxed{(0,-2)}\)

B' should be (0, -2).

Answer:

Guy above me might be right but Im not sure. Im on the cumulative exam on edge.

Step-by-step explanation:

The base of triangle exceeds the height by 4cm the area is 30cm² then find the the length ofbase & hight of triangle​

Answers

let height = x

let base = x +4

0.5x(x+4) = 30

x(x+4) = 60

x² +4x -60 = 0

(x -6)(x +10) = 0

x=6 or x=-10(ignored)

height = 6

base = 6+4

= 10

please help me find the values of x and y

please help me find the values of x and y

Answers

Answer: A = X + Y; B = X xor Y. The task is to make X as minimum as possible.

Step-by-step explanation:

simplify 8(x+5)-4(x+4)

Answers

2x and 72

Step-by-step explanation:

pls don't use this I don't want you to get a bad grade if it is wrong

Answer: 4x+24

Step-by-step explanation: 8x+40-4x-16

the mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of a biased statistic. true or false

Answers

The mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of a biased statistic is False.

sampling distribution:


The mean of all the sample means obtained from all random samples of a certain sample size in a sampling distribution is an example of an unbiased statistic. This is because the sampling distribution of the mean is centered at the true population mean, and the mean of all sample means provides an estimate of that true population mean without any systematic over- or under-estimation.

However, individual sample means can be biased if there are any issues with the sampling process or if the sample is not representative of the population.

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there are 2 red jacks in a standard deck of 52 cards. what is the probability of not getting a red jack if you select one card at random?

Answers

The probability of not getting a red jack when selecting one card at random from a standard deck of 52 cards is (50/52) or approximately 0.962.

This is because there are 50 cards that are not red jacks out of a total of 52 cards in the deck.

The probability of not getting a red jack when selecting one card at random from a standard deck of 52 cards can be calculated using these terms:

There are 2 red jacks in the deck, and 52 cards in total. Therefore, there are 50 cards that are not red jacks (52 - 2).

To find the probability, divide the number of favorable outcomes (not getting a red jack) by the total number of possible outcomes (total cards in the deck).

Probability = (Number of favorable outcomes) / (Total possible outcomes) = 50/52 = 25/26 ≈ 0.96 or 96%.

So, the probability of not getting a red jack when selecting one card at random is approximately 96%.

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im being timed please help :)

im being timed please help :)
im being timed please help :)

Answers

Answer:

did you already put the reasons in the Box

Step-by-step explanation:

Help There are 7 red marbles and 5 blue marbles in a bag.
(a) What is the ratio of red marbles to blue marbles?
(b) What is the ratio of blue marbles to all marbles in the bag?

Answers

ratio of red to blue is : 7/5
ratio of blue to all is : 5/12
(a) 7:5 (red marbles to blue marbles)
(b) 7 + 5 = 12 total marbles
Ratio would be 5:12 (blue to total)

4. Gordon purchased 5 false teeth and 10 fake
spiders and spent a total of $35. The price of
the false teeth is two less than than four times
the price of the spider. Let x be the price of
the false teeth and let y be the price of the
fake spider.

Answers

The price of fake teeth is $4 and the price of fake spiders is $1.50.

Two equations can be derived from this question:

5x + 10y = 35 equation 1

x = 4y - 2 equation 2

Where:

x = false teeth

y = fake spiders.

In order to determine the value of y, substitute for x in equation 1:

5(4y -2) + 10y = 35

20y - 10 + 10y = 35

Add similar terms

30y - 10 = 35

Combine similar terms

30y = 45

y = 45 / 30

y = $1.50

Substitute for y in equation 2

x = 4(1.50 - 2

x = 6 - 2

x = 4

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solve the equation. {64/27} X+1 ={3/4} X-1 a. {-1) b. {-1/2}
c. {-1/2}
d. {-1/4}

Answers

The solution to the equation is (c) {\(\frac{-1}{2}\)}.

Which option represents the equation's solution?

To solve the given equation, we need to isolate the variable x. Let's begin by getting rid of the denominators.

Multiplying both sides of the equation by 27 and 4, respectively, we obtain \(\frac{64x}{27} + 27 = \frac{3x}{4} - 4.\)

Next, let's eliminate the fractions by multiplying both sides by their common denominator, which is 108.

This gives us 256x + 2916 = 81x - 432. Now, we can combine like terms and isolate x.

By subtracting 81x from both sides and adding 432 to both sides, we simplify to 175x = -3348. Finally, by dividing both sides by 175, we find x = \(\frac{-3348}{175}\) = -19.09.

Therefore, the correct solution is (c) {\(\frac{-1}{2}\)}.

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Miguel tells his teacher that One-fifth is the same as 20%. Which best justifies Miguel’s answer?

Answers

Answer:

5 goes into 100 twenty times, so 20% is the answer

hope it helps! :)

Step-by-step explanation:

Answer:

5 goes into 20 four times, and 5 times 4 is 20, so 20% is the answer.

Step-by-step explanation:

Took the test!

Martha spent of her pocket money on
magazines.
She then spent
of what she had left on a
present.
After that, she had £3 left.
How much pocket money did she have to start
with?
Give your answer in pounds (£).

Answers

Answer:

Step-by-step explanation:

Martha spent 1/6 of her pocket money on magazines.

1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly sales for the year reach$70,000. What must her sales be for the fourthquarter in order for Chandra to earn the bonus?A $45,000B. $50,000C. 865,000D.60,000

1. Chandra recorded her quarterly sales in a bargraph. Chandra will get a bors of $5.000her average quarterly

Answers

Given:

Chandra get a bonus if average quarterly sales for an year exceeds $70000.

From the bar diagram, we can find the sales for each quarter.

The height of each bar gives the sales for each quarter.

Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.

The sales for the first quarter is $40000.

The sales for the second quarter is $100000.

The sales for the third quarter is $80000.

Let x be the sales for the fourth quarter.

Now, the average of the quarterly sales is,

\(\begin{gathered} A=\frac{Sum\text{ of all quarterly sales}}{\text{Number of quarters}} \\ A=\frac{40000+100000+80000+x}{4} \end{gathered}\)

Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.

\(\begin{gathered} 70000=\frac{220000+x}{4} \\ 70000\times4=22000+x \\ 280000-220000=x \\ 60000=x \end{gathered}\)

So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.

Hence, option D is correct.

Given
a = -4, b = -4 and c = -5
work out
b² - 2ac

Answers

Answer:

-24

Step-by-step explanation:

b²-2ac

(-4)²-2(-4)(-5)16-40-24

⇒Plug in the values given in places and simplify.

\(=(-4)^{2} -2(-4)(-5)\\=16-2(20)\\=16-40\\=-24\)

-24 is the answer after substitution of the known values.

Shenea's grandmother travels across town to shop at her favorite bargain market. She bought 24 bottles of juice for $72. How much did Shenea's grandmother pay per bottle? Who got the better deal, Shenea or her grandmother?

Answers

Thus, the Shenea's grandmother got the better deal as she paid Price per bottle $3 which is $ 1 less than the price Shenea paid.

Explain about the unitary method?

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.

In other words, the unitary approach is the process by which we establish the value of one unit and then utilize it to establish the values of further units.

The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel.

Given data:

Shenea's grandmother bought bottles of juice:

24 bottles of juice --->  $72.

Price per bottle = $72/24 = $3

Shenea bought 12 bottles of juice for $40.

Price per bottle = $48 / 12  = $4

Thus, the Shenea's grandmother got the better deal as she paid Price per bottle $3 which is $ 1 less than the price Shenea paid.

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Complete question:

Shenea's grandmother travels across town to shop at her favorite bargain market. She bought 24 bottles of juice for $72. How much did Shenea's grandmother pay per bottle? If Shenea bought 12 bottles of juice for $40.

Who got the better deal, Shenea or her grandmother?

Probability questions^^^

Please help I’ll give brainliest!

Probability questions^^^ Please help Ill give brainliest!

Answers

1. unlikely
2. likely
3. certain

Figure 222 is a scaled copy of Figure 111.
PLEASE HELP
Identify the side in Figure 222 that corresponds to side \overline{CD}
CD
start overline, C, D, end overline in Figure 111.
Choose 1 answer:
Choose 1 answer:

Figure 222 is a scaled copy of Figure 111.PLEASE HELPIdentify the side in Figure 222 that corresponds

Answers

The correct answer is going to be D.

Find the value to of each algebraic expression at the given replacement values

Find the value to of each algebraic expression at the given replacement values

Answers

Answer:

- 2

Step-by-step explanation:

Given

12x - y ( substitute values for x and y )

= 12 × - \(\frac{1}{3}\) - (- 2)

= - 4 + 2

= - 2

How to find the determinant of a matrix using cofactor expansion?

Answers

The determinant of a matrix is a scalar value that can be computed from the elements of a square matrix. It is denoted by det(A) or |A|. The determinant provides important information about the matrix and its properties, such as whether the matrix is invertible or singular.

To find the determinant of a matrix using cofactor expansion, follow these steps:

Write the matrix in a square form, and identify its order, which is the number of rows or columns.Identify an element in the matrix, and write its corresponding cofactor. To do this, remove the row and column that contain the element, and calculate the determinant of the resulting matrix. The cofactor of the element is equal to the determinant multiplied by \((-1)^{i+j}\), where i and j are the row and column of the element, respectively.Multiply each element in a row or column of the matrix by its corresponding cofactor, and add up the products. This is the cofactor expansion of the determinant for that row or column.Repeat step 3 for all rows or columns of the matrix.The determinant of the matrix is the sum of the cofactor expansions for any row or column.

For example, let's find the determinant of the following 3x3 matrix:

\(A=\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

We will use the first row to expand the determinant. The cofactors of the elements in the first row are:

C11 = (5*9 - 6*8) = -3

C12 = -(4*9 - 6*7) = 6

C13 = (4*8 - 5*7) = -3

Using the cofactor expansion of the first row, we get:

det(A) = 1*(-3) + 2*(6) + 3*(-3) = 0

Hence, the determinant of A is 0.

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Find the area of the figure. Sides meet at right angles. No links please :)

Find the area of the figure. Sides meet at right angles. No links please :)

Answers

Answer:

I hoped this helped.

Step-by-step explanation:

1. fined base shaped like rectangles and squares

2. find the area of those shaped using length times width

3. the the areas to find the area of the composite figure

Find the area of the figure. Sides meet at right angles. No links please :)

PLEASE HELP!! ILL GIVE YOU BRAINLIEST

PLEASE HELP!! ILL GIVE YOU BRAINLIEST

Answers

Answer:

x = 3.33

y = -2

Step-by-step explanation:

x(4) + 7 = 20

4x +7-7 = 20-7

4x = 13

x = 3.33

(y+7)(4) = 20

y+7 = 20/4

y+7 = 5

y = -2

I think it is the answer
PLEASE HELP!! ILL GIVE YOU BRAINLIEST

-3|x-4|=21 solve and show work

Answers

Answer: If you are solving for x, then thee is no solution

Step-by-step explanation:

S=26.32 E=55 t=3 standard diviation=60% 3-year r=2.4% 10-year
r=3.1%
What minimum value would you assign? What isthe maximum value
you would assign?

Answers

For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

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