Mr. Hughes gave 5/14
of his savings to his son, 2/3 of the remainder to his daughter, and the rest to his wife.
If his wife got $900, what were his savings?

The expected values for each experiment are:

A) 3.4

B) 3.36

C) 3.33

If we have an experiment with the outcomes:

{x₁, x₂, ..., xₙ}

Each one with the correspondent probability:

{p₁, p₂, ..., pₙ}

Then the expected value of that experiment will be:

EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ

A) in this case we have 10 slips of paper, 8 of them with the number 3, and 2 of them with the number 5.

So the outcomes are:

{3, 5}

The probabilities are:

{8/10, 2/10}

Then the expected value is:

EV = 3*(8/10) + 5*(2/10) = 3.4

B) If we add another slip of paper with a number 3 on it, the new probabilities are:

{9/11, 2/11}

Then the new expected value is:

EV = 3*(9/11) + 5*(2/11) = 3.36

C) Finally, if we add 2 slips of paper with the number 3, now we will have a total of 12 slips of paper, then the new probabilities are:

{10/12, 2/12}

So the new expected value is:

EV = 3*(10/12) + 5*(2/12) = 3.33

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Answer:

15

Step-by-step explanation:

Answer:

The coordinates of point R are (7,6), second option

Step-by-step explanation:

Coordinates of point R:

The coordinates of point R are , so (6,-7).

90° counterclockwise rule:

The rule for a rotation of 90º counterclockwise is given by:

(x,y) -> (-y,x)

What are the coordinates of point R?

(6,-7) -> (-(-7),6) = (7,6).

The coordinates of point R are (7,6), second option

We are given:

Time period: 3 days and 18 hours

Energy consumed in given time period: 5400 watt-hours

Converting time to hours:

We know that one day is 24 hours

So, 3 days = 72 hours

Time period = 3 days + 18 hours

Time period = 72 hours + 18 hours      

Time period = 90 hours

Converting to days

Time period = 3.75 days

Watt-hour consumption in a day:

Consumption = 5400 watt-hours / 3.75 days

Consumption = 1440 watt-hours/day

Summary of slope of parallel lines:

Parallel lines have equal slopes. The parallel lines are equally inclined with regard to the positive x-axis, and this is taken into account when calculating a line's slope.

If one line has a slope of m1, another line has a slope of m2, and both lines are parallel, then we get m1 = m2.

The coefficients for "x" and "y" in the equations that depict parallel lines are identical.

Ax + by + c2 = 0 is the line that is parallel to ax + by + c1 = 0. Observation reveals that the x and y coefficients in both equations are equivalent.

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Answer:

5

Step-by-step explanation:

The only option that is not a compound event is; (2) pulling a king out of a deck of cards

Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.

Thus, a simple event has only one outcome while  a compound event involves the probability of more than one outcome

1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome  and so this is a compound event.

2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.

3) This is a compound event because we are dealing with two independent probabilities.

4) This is a compound event because we are dealing with two independent events which are true or false answers.

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Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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Answer:

035

Step-by-step explanation:

193

86

81

87

223

226

151

126

120

76

Y:

163

140

150

179

204

128

73

89

136

145

Using a correlation Coefficient calculator, the correlation Coefficient, r for the data = 0.127

The test statistic :

T = r² / √(1 - r²) / (n - 2)

Sample size, n = 10

Hence,

T = 0.127² / √(1 - 0.127²) / (10 - 2)

T = (0.016129 / 0.3506905)

T = 0.3506905

The value of the test statistic to 2 decimal places is 0.35

Each of the questions should be correctly classified as statistical or not statistical as follows:

In Mathematics, a statistical question can be defined as a type of question in which the resulting answer is in the form of an average, percentage, or a range such as "How many TV shows did each student in my class watch yesterday?"

A non-statistical question simply refers to a question that is not non-statistical and it can be defined as a type of question which has an exact or fixed answer such as "How many students in my class can swim?"

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Answer:

8 meters

step-by-step explanation:

8 is in between 9 and 7

Answer:

x < 3

Step-by-step explanation:

3 + x-2/x-3 ≤ 4, x ≠ 3

3 + x-2/x-3 -4 ≤ 0

-1 + x-2/x-3 ≤ 0

-(x-3) + x-2/x-3 ≤ 0

1/x-3 ≤ 0

x-3 < 0

x < 3, x ≠ 3

x < 3

x<3 is the solution of the equation  3 + (x-2) / (x-3) ≤ 4.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given equation can be rewritten as 3 + (x-2) / (x-3) ≤ 4.

To solve for x, we need to multiply both sides by (x-3)

3(x-3) + (x-2) ≤ 4(x-3).
3 + x-2/x-3 -4 ≤ 0

Solve the above equation.

-1 + x-2/x-3 ≤ 0

-(x-3) + x-2/x-3 ≤ 0

1/x-3 ≤ 0

x-3 < 0

x < 3

Hence, x<3 is the solution of the equation  3 + (x-2) / (x-3) ≤ 4.

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Answer:

49

Step-by-step explanation:

Convert the dot plot into numbers

40, 40, 40, 45, 45, 50, 55, 55, 60, 60

Add all together

40+40+40+45+45+50+55+55+60+60 =490

Divide by amount of numbers there are

Amount of numbers = 10 --> 490/10 = 49

Mean = 49

On solving the provided question we can say that - the coordinates from the graphs will be P' = (0.0); Q' = (1,0); R' = (1,1); S' = (0,1)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is r

A fixed point serves as the dilation's center.

Dk is used to represent dilation, where k is the scale factor.

Dk (x, y) = for a dilation centered on the origin (kx, ky)

Let's assume that you have a PQRS rectangle where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

You must multiply each coordinate by 1/4 to achieve the dilation of this PQRS to P'Q'R'S' with a scale factor of 1.

P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

You may plot both of these rectangles to see that they are the same size and are centered on the origin, but they have different shapes.

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Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

[tex]Total=6\times 6\times 6\times 6\times 3[/tex]

[tex]Total=3888[/tex]

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

Answer:

3

Step-by-step explanation:

27-6=7q

21/7=q

3=q

hope it helps

27 = 7q + 6

=> 27 - 6 = 7q

=> 21 = 7q

=> 21/7 = q

=> 3 = q

So, q = 3.

Answer:

[tex] \frac{34.25}{6.5} [/tex]

Answer:

19

Step-by-step explanation:

point y is 90

x is 3x - 5

w is 2x

so

3x - 5 + 2x = 90

5x - 5 = 90

5x = 95

x = 19

Answer:

- 18.377

Step-by-step explanation:

n1 = 17 ; xbar1 = 78.4 ; s1² = 90.3

n2 = 13 ; x2bar = 92 ; s2² = 107.8

Confidence interval :

(x1 - x2) ± Tcritical * sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

df = n - 1

Sp² = (16*90.3 + 12*107.8) / 28

Sp² = 97.8

Tcritical, 90%, df = n1 + n2 - 2 = 28 (1 - tail)

Tcritical = 1.313

(78.4-92)±1.313*sqrt[(sp²/n1 + sp²/n2)]

Margin of Error = Tcritical * sqrt[(sp²/n1 + sp²/n2)] Margin of Error = (1.313 * √(97.8/17 + 97.8/13)) = 4.7771473

Lower boundary :

(78.4-92) - 4.7771473

-13.6 - 4.7771473

= −18.3771473

= - 18.377

Answer:

≈ 78mi^2

Step-by-step explanation:

To find approximate land area:

296,550/3,800 = 78.039

Round to nearest whole number:

Area = 78

Answer:

Step-by-step explanation:

Total after tax:

x(1+0.06)

x(1+0.06)

x(1.06)

x(1.06)

1.06x

1.06x

{Total after tip:}

Total after tip:

1.06x(1+0.22)

1.06x(1+0.22)

1.06x(1.22)

1.06x(1.22)

1.2932x

1.2932x

Answer:

remember this rhyme

Step-by-step explanation:

hey diddle diddle,

the median in the middle

you add and divide for the mean

the mode is the one you see the most

and the range is the differences between.

for median put them in order and then it's the one in the middle

so what you have to do is you have to get all the numbers put them in least to greatest order and slowly you're going to mark one off on the side and then on the other side Mark went off and keep on doing that until you get into the middle and then that should be your median

Answer:

234 feet cubed

Step-by-step explanation:

6 1/2 * 8 = 52

52 * 4 1/2 = 234

Answer:

Probability = 1/5

Step-by-step explanation:

Total ways of arrangement for 10 students = 10 !

Ways to arrange 2 students consecutively & other 8 students =  9 ! x 2      

( As 9! to arrange 9 units, as 2 considered together ; &  2 for arranging 2 consecutive students - respectively )

So, Probability = Favourable outcomes / Total outcomes

= ( 2 x 9! ) / 10!  = ( 2 x 9 x 8 x ..... 2 x 1 ) / 10 x 9 x ....... 2 x 1)

= 2 / 10 = 1/5