Solve the equation: 5 - (t + 3) = - 1 + 2t - 3)
Show your work.
HELPPP MEEE PLEASSEEE !!!!

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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It is used in situations where there are only two outcomes, such as heads or tails, success or failure, and so on. The normal approximation to the binomial is used when the sample size is large and the probability of success is not too close to 0 or 1.

As far as the random variable is concerned in this question, it satisfies the assumptions for the normal approximation to the binomial based on the results. The coin looks like it is fair based on the assumption that the null hypothesis is correct. The probability that a number of heads that large or larger occurs under the assumptions is approximately 0.321.

The standard deviation of the number of heads under the assumptions is approximately 15.811. The expected value of the number of heads under the assumptions is 500. Thus, these are the answer options to match with the given phrases. Let's elaborate on the normal approximation to the binomial.The normal approximation to the binomial is a statistical approximation used to compute binomial probabilities.

The normal distribution has a bell shape and is symmetrical about its center. When the sample size is large, the normal distribution approximates the binomial distribution. A sample size is considered large if np and nq are both greater than or equal to 10. When the sample size is small, the binomial distribution is used instead of the normal distribution.The binomial distribution can be used to determine the likelihood of a specific number of successes in a certain number of trials.

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We get the expanded form of (3b - 36)⁷: 2187b⁷ - 11664b⁶ + 5832b⁵ - 69984b⁴ + 104976b³ - 11664b² + 46656b - 46656

To expand the binomial (3b - 36)⁷, we can use the binomial theorem.

The binomial theorem states that for any binomial (a + b)ⁿ, the expansion can be found using the formula:

(a + b)ⁿ = C(n, 0) * aⁿ * b⁰ + C(n, 1) * aⁿ⁻¹ * b¹ + C(n, 2) * aⁿ⁻² * b² + ... + C(n, n-1) * a¹ * bⁿ⁻¹ + C(n, n) * a⁰ * bⁿ

Where C(n, k) represents the binomial coefficient, which can be calculated using the formula:

C(n, k) = n! / (k! * (n-k)!

Now, let's apply the formula to expand (3b - 36)⁷.

We have a = 3b, b = -36, and n = 7.

Using the binomial coefficient formula, we can calculate the binomial coefficients:

C(7, 0) = 7! / (0! * (7-0)!) = 1
C(7, 1) = 7! / (1! * (7-1)!) = 7
C(7, 2) = 7! / (2! * (7-2)!) = 21
C(7, 3) = 7! / (3! * (7-3)!) = 35
C(7, 4) = 7! / (4! * (7-4)!) = 35
C(7, 5) = 7! / (5! * (7-5)!) = 21
C(7, 6) = 7! / (6! * (7-6)!) = 7
C(7, 7) = 7! / (7! * (7-7)!) = 1

Now, we can substitute these values into the binomial expansion formula:

(3b - 36)⁷ = C(7, 0) * (3b)⁷ * (-36)⁰ + C(7, 1) * (3b)⁶ * (-36)¹ + C(7, 2) * (3b)⁵ * (-36)² + C(7, 3) * (3b)⁴ * (-36)³ + C(7, 4) * (3b)³ * (-36)⁴ + C(7, 5) * (3b)² * (-36)⁵ + C(7, 6) * (3b)¹ * (-36)⁶ + C(7, 7) * (3b)⁰ * (-36)⁷

Simplifying each term, we get:

1 * (3b)⁷ * (-36)⁰ + 7 * (3b)⁶ * (-36)¹ + 21 * (3b)⁵ * (-36)² + 35 * (3b)⁴ * (-36)³ + 35 * (3b)³ * (-36)⁴ + 21 * (3b)² * (-36)⁵ + 7 * (3b)¹ * (-36)⁶ + 1 * (3b)⁰ * (-36)⁷

Finally, we can simplify each term further by evaluating the powers and multiplying:

(3b)⁷ * (-36)⁰ = (3b)⁷ * 1 = 3⁷ * b⁷ * 1 = 2187b⁷
(3b)⁶ * (-36)¹ = (3b)⁶ * (-36) = 3⁶ * b⁶ * (-36) = -11664b⁶
(3b)⁵ * (-36)² = (3b)⁵ * (36)² = 3⁵ * b⁵ * 36² = 5832b⁵
(3b)⁴ * (-36)³ = (3b)⁴ * (-36)³ = 3⁴ * b⁴ * (-36)³ = -69984b⁴
(3b)³ * (-36)⁴ = (3b)³ * (36)⁴ = 3³ * b³ * 36⁴ = 104976b³
(3b)² * (-36)⁵ = (3b)² * (-36)⁵ = 3² * b² * (-36)⁵ = -11664b²
(3b)¹ * (-36)⁶ = (3b)¹ * (36)⁶ = 3¹ * b¹ * 36⁶ = 46656b
(3b)⁰ * (-36)⁷ = 1 * (-36)⁷ = -46656

Combining all the simplified terms, we get the expanded form of (3b - 36)⁷:

2187b⁷ - 11664b⁶ + 5832b⁵ - 69984b⁴ + 104976b³ - 11664b² + 46656b - 46656

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The probability that the sample contains exactly 4 minorities is 0.0577

We know that 25% of the employees of a large company are minorities. So, from any set of N employees that we ranodmly select from that large company, we can estimate that the number of minorities there is:

0.25*N

Now, we want to find the probability that the sample contains exactly 4 minorities.

Then we need to compute:

\(P = 0.25^4*0.75^3\)

We also need to count the permutations for that probability, then we need to add the factor:

\(P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )\)

Solving that we will get:

\(P = 0.25^4*0.75^3*(\frac{7!}{4!*3!} )\\\\P = 0.25^4*0.75^3*(\frac{7*6*5}{3*2} )\\\\P = 0.0577\)

That is the probability.

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Answer: g(x) = (x - 8)

Step-by-step explanation:

We start with the equation:

x^2 + y^2 - 16*x + 6*y + 73 = 100.

And we want to write this as:

g(x)^2 + (y + 3)^2 = 100.

So both equations are equal, then we can write this as:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2

First we can expand the right side:

g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9

Then we have:

x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9

Now we can cancel the equal terms in each side, like y^2 and 6*y

x^2 - 16*x + 73 = g(x)^2 + 9

Now let's subtract 9 in each side:

x^2 - 16*x + 73 - 9 = g(x)^2

x^2 - 16*x + 64 = g(x)^2

Then we can assume that g(x) = (x - a)

then:

x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2

-16*x + 64 = -2*a*x + a^2

now we must find the value of a, we have two equations:

-2*a = -16

a^2 = 64

and each equation yields to:

a = -16/-12 = 8.

a = √64 = 8

Then we have: g(x) = (x - 8)

Completing the squares, it is found that: \(g(x) = x - 8\)

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

The expression given is:

\(x^2 + y^2 - 16x + 6y + 73 = 100\)

To complete the squares:

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

Doing these steps:

\((x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2\)

\((x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9\)

\((x - 8)^2 + (y + 3)^2 = 100\)

Which means that:

\(g(x) = x - 8\)

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Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

Answer:

Irrational

Step-by-step explanation:

Answer: To find the domain of the function f(x) = √(1/2x - 10) + 3, we need to consider the restrictions on the values of x that make the function defined.

The square root function (√) is defined only for non-negative real numbers. Additionally, the expression inside the square root must not be negative, as that would result in an imaginary or undefined value.

In this case, we have the expression 1/2x - 10 inside the square root. For the expression to be non-negative, we must have:

1/2x - 10 ≥ 0

Simplifying the inequality:

1/2x ≥ 10

x ≥ 20

Therefore, the inequality that can be used to find the domain of f(x) is x ≥ 20. This means that the function is defined for all x-values greater than or equal to 20.

The equation that describes this situation is:

105 = 7l

Let's break down the given information:

Mu walks laps to raise money for charity.

For each lap Mu walks, her sponsors will donate $7.

Mu has walked l laps.

The total amount raised by Mu is $105.

To write an equation to describe this situation, let's use the variables:

l represents the number of laps Mu has walked.

$7 represents the amount donated for each lap.

The equation can be written as follows:

Total amount raised = Amount donated per lap × Number of laps

$105 = $7 × l

Therefore, the equation that describes this situation is:

105 = 7l

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Answer: It is a little hard to read Sorry

Step-by-step explanation:

y

=

−

19

7

+

2

x

7

Answer:

the y-intercept is positive 1

Step-by-step explanation:

Answer:

-1/7x

Step-by-step explanation:

y increases by 7 everytime x increases by 1,

Thus, you just need to divide x by 7 and subtract one which y would be 0 and being the y intercept.

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:it was reduced by 25%

Source: trust me bro

Answer:

down below

Step-by-step explanation:

10 + (20-10) / 5 = 12

(12-6) x (5+4) = 54

Answer:

7.33 dollars is the tax cost the new cost is 154.08

Step-by-step explanation:

give me the brainest

Answer:

the new price will be $154.08

Step-by-step explanation:

with the tax 5% you will put  that as a decimal so you would do 146.75/ 0.05 = 7.33 . now that will be your tax so you will add 7.33 to 146.75 to get 154.08

hope this helped :)

You can make all four sides of each trapezoid different. Since a trapezoid has four sides, we can change the length of each of the remaining two sides to create different trapezoids. option B is correct.

A trapezoid is a four-sided polygon with two parallel sides and two non-parallel sides. It is sometimes called a trapezium outside of North America. The parallel sides of a trapezoid are called bases, while the non-parallel sides are called legs. The height of a trapezoid is the perpendicular distance between the bases. The area of a trapezoid is calculated by taking the average of the bases and multiplying it by the height. Trapezoids are commonly encountered in geometry and are used in many real-world applications, such as in construction and engineering.

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I would say y=1.5x +8

When Aaron started, he was on page 8 (Which is the +8 part.) he reads 1.5 pages every minute (Which is the 1.5x part.)

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

Step-by-step explanation:

Given equation:

Solve:

Your answer is 160 \(units^2\).

Answer:

Every day, Sally saves 1 penny, 10 cents, and 25 cents.

In total, she saves 1 + 0.1 + 0.25 = $0.35 every day.

So, in order for her to save an amount equal to an integral number of dollars, we need to find the least number of days it would take for the total savings to be greater than or equal to $1.

To do this, we can divide $1 by $0.35, which will give us the least number of days it would take for Sally to save $1.

1 / 0.35 = 2.857142857142857

The least number of days required for her to save an amount equal to an integral number of dollars is 3.

Sally would need to save for at least 3 days to have an amount equal to an integral number of dollars.

Step-by-step explanation:

The inequality that best describes the value of the gift card is v ≥ 12.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

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Francine received a gift card to buy cell phone apps. She says that the card’s value is enough to buy any of the apps:

recipes-$9.50, W02 sports-$10.50, or

Remote desktop-$12.00. Let v be the dollar value of the gift card. Write an inequality that best describes the value of the gift Card.

Answer:

c. The value of n is equal to the exponent on the binomial.

Step-by-step explanation:

In the binomial theorem, the expression is of the form (a + b)^n, where a and b are constants and n is a non-negative integer, which represents the degree or the exponent of the binomial. The binomial theorem provides a formula for expanding this expression into a sum of terms involving powers of a and b, and the coefficients of these terms are given by the binomial coefficients. Therefore, the value of n is a crucial part of the binomial theorem and is equal to the exponent on the binomial.

Answer:

52, 60, 68, 76..

Step-by-step explanation:

From the given picture, we can note that

Similarly,

In the same way, we have

and finally,

Peanut ate approximately 0.43 pounds of dog food each day.

Based on the information given, Baldwin bought a 3-pound bag of dog food for his Chihuahua, Peanut.

Baldwin fed Peanut the same amount of food each day.

After 7 days, all the dog food was gone.

To determine how much dog food Peanut ate each day, we can divide the total amount of dog food by the number of days.

In this case, Peanut ate a total of 3 pounds of dog food over 7 days.

To find out how much dog food Peanut ate each day, we divide 3 pounds by 7 days.

3 pounds ÷ 7 days = 0.43 pounds per day (rounded to two decimal places).

Therefore, Peanut ate approximately 0.43 pounds of dog food each day.

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For a second-order homogeneous linear differential equation with constant coefficients, the general solution can be written in terms of the roots of the characteristic equation.

b. When the root of the characteristic equation is r = 3 with multiplicity 2, the general solution to the differential equation can be written as y(t) = (c1 + c2t)e^(3t), where c1 and c2 are arbitrary constants.

c. When the roots of the characteristic equation are r = √2 ± 3i, the general solution can be expressed as y(t) = e^(√2t)(c1cos(3t) + c2sin(3t)), where c1 and c2 are arbitrary constants.

In both cases, the general solution is a linear combination of terms involving exponentials and trigonometric functions, with coefficients determined by the arbitrary constants c1 and c2.

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Answer:

x = 72

Step-by-step explanation:

Cross multiply so it becomes

2x=144

then divide so it becomes

x = 72

Answer:

x = 12

Step-by-step explanation:

x / 4 = 36 / x

Times both sides by 4x

x^2 = 36*4

x^2 = 144

x = 12

Yea i did it :D