Let p: x = 4
Let q: y=-2
Which represents "lf x = 4, then y = -2"?
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Op-9
O p +9

2.95 expressed as a fraction is 59/20.

The decimal is made up of a whole number and a non-integer. In order to convert the decimal to a fraction, divide the non-integer by 100 and add it to the whole number.

2 + 95/100

2 19/20

Now multiply the whole number by the denominator, add the numerator and then divide by the denominator. The result is:

59/20

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Answer:

Ali has 1528. She has 1146 more cards than Max. In total, there are 1910 cards.

Step-by-step explanation:

382 x 4 = 1528

1528 - 382 = 1146

1528 + 382 = 1910

Answer:

The mean absolute deviation (MAD) of this data set is 3

The statement is given as

"all of the values are either 3 beats per minute above the mean or 3 beats per minute below the mean"

As a general rule, the mean absolute deviation of a dataset measures the average difference between each data element and the mean value of the dataset

From the statement, we have

Above/Below = 3 beats per minute

This means that

Mean absolute deviation = 3

Hence. the mean absolute deviation (MAD) of this data set is 3

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Answer:

the correct answer is 1 92/99

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

1

Step-by-step explanation:

6=2*y+4

6-4=2*y

2=2*y

y=2/2

y=1

The polynomial equation of the smallest degree is f(u) = (u + 2)³(u - 1)²(u - 3)

Given that we have the graph of a polynomial

The degree of the graph is the number of times the graph intersect and/or crosses the x-axis

In this case, we have the following points at which the graph intersect and/or crosses the x-axis

When the multiplicities are added, we have

Degree = 3 + 1 + 2

Degree = 6

So, the degree is 6

In (a), we have

This means that

The zero at u = 1 has a multiplicity of 1

The equation is represented as

f(u) = (u - zero)^multiplicity

So, we have

f(u) = (u + 2)³(u - 1)²(u - 3)

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Answer:

1. 33.33%

2. 16.67%

Step-by-step explanation:

there's 6 cookies in total and 2 that are oatmeal so at first the ratio is 2:6 or 33.33% then you eat one so its now 1:6 or 16.67%

Answer:2

0

+

1

0

Step-by-step explanation:

Answer:

question 1: 10 + 20f

question 2: 164,340

Step-by-step explanation:

question 1:

10(1 + 2f)

(10 x 1) + (10 x 2f)

10 + 20f

question 2:

120n + 160,500 n =32

120(32) + 160,500

3,840 + 160,500

164,340

Answer:

21:15 and 56:40

Step-by-step explanation:

Answer:

21:15

And

56:40

You're welcome :)

The length of the side of the square is 4√2 miles

From the question, we have the following parameters that can be used in our computation:

Diagonal = 8 miles

The relationship between the side length of a square and its diagonal is

Diagonal = Side√2

Substitute the known values in the above equation, so, we have the following representation

Side√2 = 8

Divide both sides by √2

Side = 8/√2

Evaluate

Side = 4√2

Hence, the side length is 4√2 miles

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Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Answer:

\(3 \sqrt{5} \)

Step-by-step explanation:

\( \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} \)

Answer:

Step-by-step explanation:

25

Answer:

Step-by-step explanation:

Answer:

 x =  5   and y = 3     solution is (5, 3)

Step-by-step explanation:

y = x - 2              multiply each term by 2

y = -2x + 13        Do not change

2y = 2x - 4

y = -2x + 13

3y =       9

  y = 9/3

  y = 3

y = x - 2      Substitute y = 3 and solve for x

3 = x - 2

5 = x

Answer:

Here's a tree diagram to represent all of the possible outcomes for the coin landing on red or on yellow:

   / Red \

   /        \

  /          \

Start         End

  \          /

   \        /

     \Yellow/

The "Start" node represents the beginning of the experiment, and it has two branches: one for the coin landing on red, and one for the coin landing on yellow. The branches lead to the "Red" and "Yellow" nodes, respectively, which represent the possible outcomes. Finally, each outcome leads to the "End" node, which represents the end of the experiment.

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

$68.97

Step-by-step explanation:

The equation you have to use is I=p(1.45)

If you have a 45% increase to 100, the original price was $68.97.

Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

Answer:

1/12

Step-by-step explanation:

Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.

Total cake left over by the Norma after the party is 3/8.

Total cake she ate for the lunch is 3/4.

The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.

Fraction is the representation of the parts of a whole number.

As the one whole of cake was there earlier. The 3/8 part of the cake is,

\(=\dfrac{3}{8}\)

As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,

\(x=\dfrac{3}{8} \times\dfrac{3}{4}\)

\(x=\dfrac{9}{32}\)

Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.

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\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

Value of g (x) is -2, when :

\(\qquad \sf  \dashrightarrow \: - 2.5 < x \leqslant - 1.5\)

And since -2 lies in this range of x,

\(\qquad \sf  \dashrightarrow \:g( - 2) = - 2\)

Value of x is -1, when :

\(\qquad \sf  \dashrightarrow \: - 1.5 < x \leqslant - 0.5\)

And -0.5 falls in this range, hence

\(\qquad \sf  \dashrightarrow \:g( - 0.5 ) = - 1\)

Next, The value of x is 0 when :

\(\qquad \sf  \dashrightarrow \: - 0.5 < x < 0.5 \)

But, it isnt equal to 0.5, since there is open interval at both extremes.

Next, Value of x is 1, when :

\(\qquad \sf  \dashrightarrow \:0.5 \leqslant x < 1.5\)

And since it also has the value 0.5 included in it,

\(\qquad \sf  \dashrightarrow \:g(0.5) = 1\)

Answer:

24 arrangements.

Step-by-step explanation:

ive done this before

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Particles P and Q travel in consonance whenever: 0 < t < 10/g or t > 10/g

Assuming particle P is launched downwards, its velocity shifts according to the equation:

vP = gt,

where g is the acceleration due to gravity (roughly 9.81 ms^-2).

Conversely, particle Q emerges vertically with a speed of 10 ms^-1, thus making its velocity at a later point t :

vQ = 10 - gt.

It should be noted that to spot the points in time where both particles transit in the same direction, we arm ourselves by finding out when vP and vQ yield the equivalent sign. This happens when either:

The two velocities are positive (i.e., upwards motion for both) or;

Velocities of each particle yields negative signal (transiting downwards for both).

Case 1: Both velocities are positive

In this case, we have:

gt < 10

t < 10/g

Considering that t stands for time beginning from the projection of particle P, we must follow the condition t > 0. Thinking thus, the set of values which ensure simultaneous upward motion for both particles is:

0 < t < 10/g

Case 2: Both velocities are negative

As per our hypothesis:

gt > 10

t > 10/g

At the same time, noticing that particle Q starts 5 m approx. above the land surface, it will experience its maximum height when:

10 - gt = 0    

t = 10/g

Which means, the set of values useful to determine downwards movement of both particles ought to be:

t > 10/g

In conclusion, to sum up, Particles P and Q travel in consonance whenever: 0 < t < 10/g or t > 10/g

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Answer:

x = 2

Step-By-Step Explanation:

It is really easy to see that the angle on the left side is almost equal to 90° (Right Angle) but is a bit less.

35 × 1 + 3 = 38 F It is too less than 90°

35 × 2 + 3 = 73 T It is closer and less than 90°

35 × 3 + 3 = 108 F It is close but more than 90°

35 × 4 + 3 = 143 F It is too much more than 90°

So,

x = 2

Double Checking

(180° - (35° × 2 + 3)) + (2 + 39°) + (3 + 30°)

= (180° - 73°) + 41° + 32°

= 107° + 41° + 32°

= 180°

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Answer:

Step-by-step explanation:

40 minutes × (50 miles)/(60 minutes) = 100/3 miles

100/3 miles × (60 minutes)/(40 miles) = 50 minutes

Answer:

calcualotro or mayo

Step-by-step explanation: