2
For #1-4, use the variables =
= 5
1. X + 3
3. 24-X​

Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

Assuming that each game is independent and has a probability of winning of 0.5 (since there are two cups and Reese has a 50-50 chance of choosing the correct one), we can model Reese's wins in four games as a binomial distribution with n=4 and p=0.5.

The probability of Reese winning at least two games can be calculated as the sum of the probabilities of winning two, three, or four games. We can use the binomial probability formula or a binomial probability calculator to find these probabilities:

\(P(X=2) = 6/16 = 0.375\)

\(P(X=3) = 4/16 = 0.25\)

\(P(X=4) = 1/16 = 0.0625\)

So, the probability of Reese winning at least two of his next four games is:

\(P(X\geq 2) = P(X=2) + P(X=3) + P(X=4) = 0.375 + 0.25 + 0.0625 = 0.6875\)

Therefore, there is a 68.75% chance that Reese will win at least two of his next four games, assuming that each game is independent and has a 50-50 chance of winning.

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Answer:

0.93382

Step-by-step explanation:

Let

The event where a car has air conditioning (ac) be A

The event where a car has an automatic transmission be B

\(P(\text{Car has ac and cars that don't have automatic transmission})=P(A\cap B')=\dfrac{71}{136}\)

\(P(\text{Car has car has an automatic transmission and no ac})=P(B\cap A')=\dfrac{56}{136}\)

\(P(\text{Car has no ac and cars that don't have automatic transmission})=P(A'\cap B')=\dfrac{9}{136}\)

The probability of a chosen car which has ac or automatic transmission or both

\(P(A\cup B)=1-P(A\cup B)'\\\Rightarrow P(A\cup B)=1-P(A'\cap B')\\\Rightarrow P(A\cup B)=1-\dfrac{9}{136}\\\Rightarrow P(A\cup B)=0.93382\)

The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.93382

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

184 R2

Step-by-step explanation:

5890/ 32= 184 R2

Answer:

184.0625

Step-by-step explanation:

Rounded:

184.003

184.06

184.1

184

Answer:

the original temp was -15 hope this helped;-)

Step-by-step explanation:

Answer:

.18 equals 18%

Step-by-step explanation:

percent means "out of 100", so 18% is 18/100- or .18

Answer:

3/6 and 1/2

Step-by-step explanation:

If you divide each side of the fraction by 2 it will give you 1/2.

The fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

As we know, we can write a fraction in the form of p/q where p is the numerator and q is the denominator.

Here q = 6

So the fraction:

= p/6

Let's suppose p = 3

So the fraction becomes:

= 3/6

Divide by 3 on numerator and denominator:

= 1/2

Thus, the fraction 3/6 has 6 in the denominator, and it is equivalent to 1/2 in which 6 is not in the denominator.

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

10 i think im not sure

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

Answer:

3x=12

Step-by-step explanation:

3 times X with x being 4 making it 12 so X=4 and 3x=12

Answer:

x = 24°

Step-by-step explanation:

If two parallel lines are being intersected by the same line, the opposite inside angles are congruent. This means that ∠EFH should be equal to ∠JHF. However, we cannot set these angles equal because we do not know the value of ∠JHG.

Line IG is intersected by line HJ. This means the value of ∠JHG is 24° (180° - 156° = 24°). Know that we know this value, we can set up an equation to find "x".

∠EFH = 2x

∠JHG = 24°

∠GHF = x

∠EFH = ∠JHF                                  <----- Opposite interior angles are equal

∠EFH = ∠JHG + ∠GHF                   <----- Break ∠JHF into 2 angles

2x = 24 + x                                      <----- Insert values

x = 24                                             <----- Subtract x from both sides

Answer:

1.97497

Step-by-step explanation:

Using my calculator, I just put in log(94.4).

Answer:

(-3,5) (-1,6)

Step-by-step explanation:

In quadrant 2, the x-axis is negative while the y-axis is a positive

~~~Hope this helps~~~ :)

Answer:y = 4x-5.

Step-by-step explanation:

222222222222222222222

Answer:

D

Step-by-step explanation:

Answer:

2 green apples

Step-by-step explanation:

you need to find 3 times ___ = 6 so you do 6 divided by 3 and get 2!

Answer:

32

Step-by-step explanation:

you need to find out which number is 40% of 80 and to do that you go 40/100 is equal to what (x) over 80-  x/80 and then you cross multiply so 100 times x is 100x = 40 times 80 which is 3200 and then divide 3200 by 100 so you get 32

Answer:

\( {x}^{2} - ( - 1 + 4) x + ( - 4) \\ = {x }^{2} - 3x - 4\)

Is the required quadratic equation......

Hope it helps

Answer:

great job

Step-by-step explanation:

Anwnser:

1...3

Step-by-step explanation:

i dont know how to explain Hope it helps

Answer:

hi

Step-by-step explanation:

4       0 8 9

5       2 5

6       4

7       0 1 2 2 8 8 9

8       7 9

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)