A box has four cards numbered , , , and . Kareem will toss a coin once and record the toss as heads () or tails (). Then he will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is . Use the format to mean that the coin toss is heads and the number chosen is . If there is more than one element in the set, separate them with commas.

Answer:

angle S

Step-by-step explanation:

You have to make the triangles congruent. Therefore, you have to flip one triangle vertically and horizontally. (To see the picture google choose the correct correspondence,  I am looking at the one with two triangles in the figure.) If you imagine putting them over top of each other, then U goes over S.

Sorry my answer was so late.

Answer:

The answer is going to be S

Step-by-step explanation:

The value of x is 8  

If all of the corresponding sides and angles of two triangles are identical, then those triangles are said to be similar triangles. In similar triangles, the ratio of the corresponding sides will be equal.

If two triangles ΔABC and ΔXYZ are similar triangles the ratio of the corresponding sides will be equal

=> AB/XY = BC/YZ = AC/ZX

Here we have

ΔDEF and ΔABC  

From both triangles,

The ratio of corresponding sides = DE/AB and FD/AC

As we calculate,  \(\frac{19.2}{3.2} = \frac{39}{6.5} = 6\)    

Thus the ratio of corresponding sides is same and equal to 6

=> \(\frac{FE}{BC} = 6\)  

=> \(\frac{48}{x} = 6\)

=> \(6x = 48\)

=> x = 8  

Therefore,

The value of x is 8    

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Answer: 9

Step-by-step explanation: POSITIVE 7 and u add another POSITIVE 2. 7+2=9

The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:

Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.

Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of  AAS, HA and ASA.

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-2,-1,0, 1, 2, 3 , 4 ,5 , and 6

Integers can't be fractions and decimals.

All the numbers between -3 and 7 are real, whole, and integers.

HPH

The integers between -3 and 7, not inclusive are:

-2, -1 , 0 , 1, 2 , 3, 4, 5,6

The word integer originated from the Latin word “Integer” which means whole or intact. Integers is a special set of numbers comprising zero, positive numbers and negative numbers.

We have the information available from the question is:

We have find the integers between-3 and 7, not inclusive

Now, According to the question:

The integers between -3 and 7 are:

-2, -1 , 0 , 1, 2 , 3, 4, 5,6

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Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

There is a linear relationship between the circumference and diameter from the data that was plotted on the scatter plot

An online statistical tool was used to create the plot of circumference against the plot of diameter

The scatter plot has been drawn tp show the existing relationship that exists between circumference and diameter. There is a linear relationship that is in existence between the two variables from the data that we have here. All of the points are on a straight line.

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Wondering if there was any relationship between diameter and circumference, they thought about drawing a

picture. Draw a scatter plot that displays circumference in terms of diameter.

Answer:

x = 3

Step-by-step explanation:

13x - 2 = x + 2

12x = 4

x = 3

Answer:

42

Step-by-step explanation:

3×14=42

7×6=42

42÷2=21

Please correct me if I'm wrong:)

An even  2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Now, Let 2 - digit even number between 40 and 90 are,

⇒ 42, 44, 46, 68, 50, 52, ... 88

Clearly, The number 42 is an even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Thus, An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42.

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Answer:

The answer is that the 6 pack of is a way better deal.

Step-by-step explanation:

Answer:

The six pack for $2.40

Step-by-step explanation:

As we all know, 6 is half of 12. So then, if the deals were to be equal, the price for six would be half of the price for 12. So $2.40 + $2.40 should equal $5.40. It doesn't. It equals $4.80, which is less than $5.40, which means that it is the better deal because you could buy two six packs and get it cheaper than a twelve pack.

The value of P (B) = 0.8

The probability of event A, P (A) = 0.68

The probability of events A and B, P (A ∩ B) = 0.544

The probability of event B, P (B) = ?

We know that Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

By formula;

P (A ∩ B) = P (A) . P (B)

By substituting the values to the above equation, we get;

0.544= 0.68 * P (B)

P (B) = 0.8

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The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer:

secondary sources cause that what makes them

Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

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Answer:

CDE is congruent to JIK

Step-by-step explanation:

:D

The value of angle BCD is determined as 108⁰.

option B is the correct answer.

The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc AB =  m∠ACB

m∠ACB =  72⁰

The value of angle BCD is calculated as follows;

angle BCD = 180 - 72⁰ (sum of angles in a circle)

angle BCD = 108⁰

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The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer: 504

Step-by-step explanation:

Answer:504

Step-by-step explanation:

The graph is plotted for the given function \(y=-2^x+1\)

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value.

Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

it's parent function

\(y=-2^x+1\)

\(y = 0\)

So The graph is plotted for the given function \(y=-2^x+1\)

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a) Either 3 or 4 questions did Mike answer correctly.

b) Either 7 or 8 questions did Sheila answer correctly.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

a) Let mike did x correct

then, incorrect will be (10- x)

The equation is:

Now, 5x + (10 - x) (-3) = 0

=> 5x - 30 + 3x = 0

=> 8x = 30

=> x = 30/8

=> x > 3 and x < 4

b) Let Sheila did y correct

then, incorrect = (10 - y)

Now, 5y + (10 - y) (-3) = 32

=> 5y - 30 + 3y = 32

=> 8y = 62

=> y > 7 and y< 8

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The given question is incomplete, complete question is:

In a school test consisting of 10 questions, 5 points are awarded for a correct answer but 3 points are deducted for an incorrect answer.

A blank answer scores (). Mike scored a total of () and he did not leave all of the answers blank. (a) How many questions did Mike answer correctly? _ _ _ _ _ _ _ _ Sheila scored a total of 32. (b) How many questions did Sheila answer correctly?

Answer:

4p = 8

Step-by-step explanation:

2 × 4 = 8

4p = 8

Answer: x = -2.5

Step-by-step explanation:

I think you meant 6x^2 + 15x = 0

6x^2 + 15x = 0

3x(2x + 5) = 0

2x + 5 = 0

2x = -5

x = -2.5