Which is a pair of independent events?

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

A function is an expression in terms of a variable, usually x. Hence, that is not a function.

Step-by-step explanation:

What you have there are four sets of coordinates.

Answer:

no

Step-by-step explanation:

(1,5) (2,5) (1,-5) (2,-5)

This is not a function

To be a function each x must only go to one y

x=1 goes to both 5 and -5

x=2 goes to both 5 and -5

It is not a function

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

Probability of drawing a spade is 1/4.

Probability of drawing a king is 1/13.

Answer:

there are more spades then kings out of a 52 deck so it would be 13/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's a proportion rather than an equation that you might be more accustomed to.

2/0.05 = x/ 0.95       Cross multiply

2 * 0.95 = x * 0.05    Divide by 0.05

2 * 0.95/0.05 = x

x = 38 grams of sugar should be added to the 2 grams of cinnamon.

There's another way to do it.

2/0.05 = (x + 2)/1      Cross multiply

2*1 = 0.05x + 0.1       Subtract 0.1 from both sides

1.9 = 0.05x

1.9/0.05 = x

x = 38

Which ever way you understand better is the answer. 100 / 100% is 1

The experimental probability is B. 70/167. This means that out of all of the coupons drawn, 70 were $5 coupons.

The theoretical probability is the probability of an event occurring without taking into account any experimental data.

This is the experimental probability that a $5 coupon is the next coupon drawn.

The total number of coupons drawn is 167.

Of this total, 70 were $5 coupons.

Therefore, the experimental probability = 70/167.

This means that out of all of the coupons drawn, 70 were $5 coupons.

In this case, it would be the probability of a $5 coupon being drawn without taking into account the actual number of $5 coupons that have been drawn. The theoretical probability for this example would be the number of $5 coupons divided by the total number of coupons in the bag, which would be 50/160.

The experimental probability takes into account the actual number of $5 coupons that were drawn, while the theoretical probability does not.

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Answer:

Step-by-step explanation:

5). 3x + y = 5 -------(1)

    2x - y = 10 ---------(2)

    By adding equation (1) and (2),

    (3x + y) + (2x - y) = 5 + 10

    5x = 15

    x = 3

    From equation (1),

    3(3) + y = 5

    y = -4

6). 4x + 3y = 13 -------(1)

    x + y = 4 -------(2)

    Multiply equation (2) by 3 and subtract it from equation (1)

    (4x + 3y) - (3x + 3y) = 13 - 12

    x = 1

    From equation (2),

    1 + y = 4

    y = -3

7). x - 7y = 7 -----(1)

    -3x + 21y = -21

    -3(x - 7y) = -(3 × 7)

     x - 7y = 7 -------(2)

    Since, equation (1) and (2) are same, system of the equations will have infinitely many solutions.

8). x - 3y = 12

    3y = x - 12

    \(y=\frac{1}{3}x-4\) --------(1)

    3x - 9y = 18

    3(x - 3y) = 3(6)

    x - 3y = 6

    3y = x - 6

    \(y=\frac{1}{3}x-2\) ----------(2)

  Slopes of both the equations are same but the y-intercepts are different.

Therefore, both the lines are parallel and the system of equations will have no solution.

The distance between the points M and N is equal to R · (1 - cos θ/2). (Correct choice: B) In addition, the distance between the points P and Q is equal to 348.683 feet.

In this question we have a geometrical system formed by a circular section and four right triangles. The distance between the points M and N is found by the following subtraction and subsequent trigonometric expressions:

MN = OM - ON

MN = R - R · cos θ/2

MN = R · (1 - cos θ/2)

And the distance between the points P and Q is found by the following trigonometric expression:

d = PN/cos θ/2

d = (R · sin θ/2)/cos θ/2

d = R · tan θ/2

d = (958 ft) · tan 20°

d ≈ 348.683 ft

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Answer: 14

Step-by-step explanation:

1/4 of a pumpkin is required to make a pie. The easiest way to complete this is to convert 3.5 pumpkins into the same fraction.

1 pumpkin = 4/4

3.5 pumpkins = 14/4

If only 1/4 of a pumpkin is required to make a pie and we have 14/4 then we can make 14 pumpkin pies.

Answer:

62/3x3/10=2.6

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

Mutiply

If its not the answer, tell me and tell me why, so I can get a different answer.

Answer:

(-2,0)

Step-by-step explanation:

remember the rule for 90 degree clockwise is (-y,x) opposite y and x

the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative

Hope this helps dude, I'm also learning this in online school lol. ^-^

The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

The given coordinate point is (0, 2).

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here

(-2, 0)

Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).

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The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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The expression for the nth term in the sequence are Tₙ = 12 + 2(n -1) and Tₙ = 25 + -5(n - 1)

A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule.

If the elements of the sequence are in increasing order, then the order of the sequence is ascending.

If the elements of the sequence are in decreasing order, then the order of the sequence is descending.

There are two types of sequences: finite sequences and infinite sequences. It is possible to count the number of terms in a finite sequence. An infinite sequence is a sequence that is not finite.

In the first sequence 12, 10, 8, 6, 4

The first term (a) = 12

The common difference (d) = -2

Tₙ = a + (n - 1)d

Tₙ = 12 + (n - 1)-2

Tₙ = 12 + 2(n -1)

b) In the second sequence, 25, 20, 15, 10, 5

First term (a) = 25

common difference (d) = -5

Tₙ = a + d(n - 1)

Tₙ = 25 + -5(n - 1)

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The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

Answer:

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

that is the answer to the question above

9514 1404 393

Answer:

  y = 8

Step-by-step explanation:

You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.

  2y -3 = y +5

  y = 8 . . . . . . . . add 3-y to both sides

_____

Check

This value of y makes the angles ...

  (6y -5)° = (6·8 -5)° = 43°

  (4y +11)° = (4·8 +11)° = 43°

Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.

Answer:

25 is 6

Step-by-step explanation:

sqrt of 4 is just 2 and then plus 4 gives you 6

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Answer:

The car will be worth more in 20 years than the amount it was purchased for.

Step-by-step explanation:

If you look at the graph you see a downward trend, not an upward. That makes it impossible for it to be worth more Hopefully this helps.

Answer: B (top right)

Step-by-step explanation:

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

The 95% confidence interval for the population mean is

(79.2996, 81.9004)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 168

Let 'X' be a Random variable in a normal distribution

Given that mean of the sample x⁻ = 80.60

Given that the standard deviation of the Population = 8.60

Step(ii):-

The 95% confidence interval for the population mean is determined by

\((x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )\)

\((80.60 -1.96 \frac{8.60}{\sqrt{168} } ,80.60 + 1.96 \frac{8.60}{\sqrt{168} } )\)

(80.60 -1.3004 , 80.60+1.3004)

(79.2996 , 81.9004)

Final answer:-

The 95% confidence interval for the population mean is

(79.2996, 81.9004)

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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The rate of change of y with respect to x for the given linear relationship is 10.

To determine the rate of change of y with respect to x, we can calculate the slope of the linear relationship between x and y using the formula:

slope = (change in y) / (change in x)

Given the values in the table:

x: -8.5, -6.5, -2.5, -1

y: -92, -72, -32, -17

We can calculate the change in y and change in x between any two points.

For example, between the first two points (-8.5, -92) and (-6.5, -72), the change in y is:

change in y = -72 - (-92) = -72 + 92 = 20

And the change in x is

change in x = -6.5 - (-8.5) = -6.5 + 8.5 = 2

Using the formula for slope:

slope = (change in y) / (change in x) = 20 / 2 = 10.

Therefore, the rate of change of y with respect to x is 10.

This means that for every unit increase in x, y increases by 10 units.

We can perform the same calculations for the other points in the table and observe that the rate of change of y with respect to x remains constant at 10.

Hence, the rate of change of y with respect to x for the given linear relationship is 10.

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The absolute value of a number is the distance of the number from zero without regard for the sign. Note that for negative numbers the opposite and absolute values are identical

So your answer is basically 6

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The correct answer to 100 kg is 220.462 pounds which was calculated by unitary method and the error was that student calculated the approximate value.

Student said that 100 kg is approximately equal to 45.36 pounds.

Student have not calculated the real value and given the approximate value.

1kg= 2.205 pounds

so according to it

100kg = 100 x 2.205 pounds

           = 220.462 pounds

For calculating the approximate value student used a formula to multiply the mass value by 2.205 pounds that's why the error occurred in the calculation done by him.

Thus 100kg weights 220.462 pound which is the actual result .

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Answer:

  x ≈ 21.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 17.3/x

  x = 17.3/cos(37°)

  x ≈ 21.7