N-(-7)= 12 how do you rewrite

Answer:

b=3.5

Step-by-step explanation:

Answer:

3.5x-1

Step-by-step explanation:

Solving:

4bx = 14

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Divide each side by '4x'.

b = 3.5x-1

Simplifying

b = 3.5x-1

The value for the Equation x- 6 = 53 is 59.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x- 6 = 53

Now, make as the subject of formula and solve for x

So, add 6 on both side

x- 6+ 6= 53 + 6

x = 59

Hence, the value of x is 59.

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Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

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Answer:

Step-by-step explanation:

i want to know too:((

The equation for the second plan is y = 95x, therefore, option (d) is correct.

Two or more expressions with an equal sign are defined as an equation.

Given that, the second plan costs $95 for each ticket and free shipping.

The total cost, y, for x tickets are:

y = 95x.

Hence. the equation for the second plan is y = 95x, therefore, option (d) is correct.

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Answer:

143.29

Step-by-step explanation:

\(\frac{14329}{100}\)

\(\frac{14329}{100}\)

<3 Red

The formula for finding the volume of a pyramid with a square base is :

(1/3) * side length squared * height.

The formula for the volume of a pyramid with a square base is:

Volume = (1/3) * Base Area * Height

Where:

Base Area is the area of the square base of the pyramid (length of one side squared: A = s^2, where "s" is the length of one side of the square base)

Height is the perpendicular distance from the base to the apex (top) of the pyramid.

Combining these values, the formula becomes:

Volume = (1/3) * s^2 * Height

So, the volume of a pyramid with a square base can be calculated by multiplying one-third of the base area by the height of the pyramid.

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To determine the number of group options, we need to calculate the combinations of 3 men out of 8 and 4 women out of 11.

The number of combinations can be calculated using the formula for combinations, which is:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be chosen.

For the men:

C(8, 3) = 8! / (3!(8 - 3)!) = (8 * 7 * 6) / (3 * 2 * 1) = 56

For the women:

C(11, 4) = 11! / (4!(11 - 4)!) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 330

To find the total number of group options, we multiply the number of options for men by the number of options for women:

Total options = 56 * 330 = 18,480

Therefore, the theater director has 18,480 group options to choose from.

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The only perfect squares between 150 and 250 that satisfy this condition are 169, 196, and 225, as we found earlier. Therefore, these are the only possible Square numbers that Lara could have chosen.

Lara rounds her chosen square number to the nearest hundred, and the result is 200. This means that her chosen square number must be greater than or equal to 150 and less than or equal to 250.

The first perfect square greater than or equal to 150 is 169, which is 13 squared. The next perfect square is 196, which is 14 squared. The last perfect square less than or equal to 250 is 225, which is 15 squared.

Therefore, Lara could have chosen any of the following three square numbers:

- 169

- 196

- 225

To verify that these are indeed the only possible square numbers that could have been rounded to 200, we can use the formula for rounding to the nearest hundred:

rounded number = 100 * (original number rounded to the nearest hundred)

If the original number is a perfect square, then we can write it as n^2, where n is a positive integer. Substituting this into the formula above, we get:

200 = 100 * (n^2 rounded to the nearest hundred)

Simplifying this expression, we get:

2 = (n^2 rounded to the nearest hundred) / 100

Since the right-hand side is an integer, it follows that n^2 rounded to the nearest hundred must be a multiple of 200. The only perfect squares between 150 and 250 that satisfy this condition are 169, 196, and 225, as we found earlier. Therefore, these are the only possible square numbers that Lara could have chosen.

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Answer:

y= x+ 4

Step-by-step explanation:

use y= mx+b where m is the slope and y is the y intercept

in this case the slope is one and y intercept is four

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

Answer:

Step-by-step explanation:

The amount of work required to empty the trough by pumping the water over the top is 64,000 joules.

To calculate the amount of work, we need to consider the gravitational potential energy of the water in the trough. The formula for gravitational potential energy is given by PE = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height from which the water is lifted.

Step 1: Calculate the mass of the water in the trough.

The volume of the trough can be calculated as V = length × width × depth. Substituting the given values, we have V = 8 m × 2.5 m × 4 m = 80 cubic meters.

Since the density of water is given as 1000 kg/m3, the mass of the water can be calculated as m = density × volume. Substituting the values, we have m = 1000 kg/m3 × 80 cubic meters = 80,000 kg.

Step 2: Calculate the work required to lift the water.

The height from which the water is lifted is equal to the depth of the trough, which is 4 meters.

Using the formula PE = mgh, we can calculate the potential energy of the water as PE = 80,000 kg × 9.8 m/s2 × 4 m = 3,136,000 joules.

Step 3: Convert potential energy to work.

The work done to lift the water is equal to the potential energy. Therefore, the amount of work required to empty the trough by pumping the water over the top is 3,136,000 joules, which can be rounded to 64,000 joules.

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We have a lot of square roots, and we want to find, for each one, two consecutive integers such that one is smaller than the square root and the other is larger.

The solutions are:

----------------------------

To find the integers, we just need to find two integers such that one squared is smaller than the argument of the square root and the other squared is larger than the argument of the square root.

1) √120

Here we can use:

10*10 = 100

11*11 = 121

Then:

10 < √120 < 11

2) √56

Here we can use:

7*7 = 49

8*8 = 64

then:

7 < √56 <  8

3) √19

Here we can use:

4*4 = 16

5*5 = 25

then:

4 < √19 < 5

4) √240

Here we can use:

15*15 = 225

16*16 = 256

then:

15 < √240 < 16

5) √80

Here we can use:

8*8 = 64

9*9 = 81

then:

8 < √80 < 9

6) √27

Here we can use:

5*5 = 25

6*6 = 36

then:

5 < √27 < 6

7) √199

Here we can use:

14*14 = 196

15*15 = 225

then:

14 < √199 < 15

8) √38

Here we can use:

6*6  = 36

7*7 = 49

then:

6 < √38 < 7

9) √102

Here we can use:

10*10 = 100

11*11 = 121

then:

10 < √102 < 11

10) √11

Here we can use:

3*3 = 9

4*4 = 16

then:

3 < √11 < 4.

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Answer:

B = (3 2) C = (2 2)

(1 2 ) (2 1)

Answer:

     14.392

Step-by-step explanation:

Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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Answer:

Step-by-step explanation:

= 1/3 + 1/6 + 1/12 (LCM 12)

= 4/12 + 2/6 + 1/12

= 6/12

= 1/2

Therefore 1/2 = 2 days

They will all work together and finish the job in 2 days

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The correct option 2 that is 30 children's tickets and 7 adult tickets were sold.

Given : A graph which has adult tickets in the x - axis

and children tickets in the y - axis

The marked point is  ( 30, 7 )

this means that the value of x axis 30 and y axis is 7

thus from the above information it is clear that there are 30 children's tickets and 7 adult tickets were sold.

So the correct option is Option 2

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Answer:

A: 2x+1= -1/4x+3

This introduces nonresponse bias, as the survey results may not accurately represent the opinions and characteristics of the entire population being surveyed.

Nonresponse bias occurs when individuals who choose not to participate in a survey differ in important ways from those who do participate, leading to potential distortions in the survey results. In this case, the suspicion of the volunteers expressed by some people influences their decision not to participate, resulting in a nonresponse bias.

To determine the extent of nonresponse bias, researchers typically compare the characteristics of the respondents and non-respondents. If the non-respondents significantly differ from the respondents in terms of demographic factors, attitudes, or other relevant variables, it suggests the presence of nonresponse bias.

In this particular scenario, the suspicion expressed by certain individuals towards the volunteers leads them to opt out of participating in the survey. This introduces nonresponse bias, as the survey results may not accurately represent the opinions and characteristics of the entire population being surveyed. To mitigate nonresponse bias, researchers can employ techniques such as follow-up surveys or weighting adjustments to ensure a more representative sample and minimize the potential impact of nonresponse on the survey findings.

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We were given that:

The iguana is 42cm at birth

It increases by 12% every week; r = 12% = 0.12

The number of weeks is represented by ''x'' & the length of the Iguana is represented by ''y''

This function is represented by the expression below:

The equation to illustrate the information regarding the temperature it the temperature rose 2 degrees every hour is -3 + 2h.

It should be noted that an equation is used to show the relationship between the variables.

In this case, when janelle woke up it was -3 degrees Fahrenheit outside.as the morning progressed,the temperature rose 2 degrees every hour.

Let the number if hours be represented by h

Therefore, the equation to illustrate the information will be -3 + 2h

here h = number of hours.

Note that the complete information wasn't found and the equation was illustrated.

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Answer:

20

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

Apply cross product property

Multiply the numbers

Divide both sides of the equation by 5

Calculate

Answer:

\(y=\frac{1}{12}x-\frac{26}{3}\)

Step-by-step explanation:

\(y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}\)

Therefore, the expected probability of flips needed to obtain the seventh head is 10.5.

The probability of observing a head on any given flip of an unfair coin with probability 1/3 for head and 2/3 for tail is 1/3. The probability of observing the seventh head on the fifteenth independent flip is given by the negative binomial distribution:

P(X=15) = (14 choose 6) * (1/3)^7 * (2/3)⁸

= 0.1117 (rounded to four decimal places)

where X is the number of flips until the seventh head is observed.

To find the expected number of flips needed to obtain the seventh head, we can use the formula for the expected value of a negative binomial distribution:

E(X) = r(p/(1-p))

where r is the number of successes (in this case, 7) and p is the probability of success on each trial (1/3). Substituting the values, we get:

E(X) = 7(1/3)/(1-(1/3))

= 10.5

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Answer:

Step-by-step explanation:

Coins:

Equations:

Substitute q in the first equation:

Substitute p and q in the third equation:

Then, finding p and q:

So there are 30 quarters, 14 dimes and 29 pennies

Proof:

In total they knocked down 104 pins.

I got this by multiplying 26 by 3, which equals 78, then adding 26 to 78 to get the final answer, 104.

Hope this helps!