Y = -3 + 1/2x 3x + 2y = 2


Help ASAP this is due today

We have a variable x that is normally distributed with:

A. Using the data above we must find the 56th-percentile for the random variable x.

First, we need to find the z-score associated with this percentile. How we do that? We must find the value of z that solves the following equation:

Based on this, we find that the solution is z = 0.151 because from the normal table we see that:

Therefore, the percentile we are looking for is computed using the following formula:

B. We must find the proportion of the values for the random variable x between 82 and 89.

In mathematical terms, in this case, we must compute the following probability:

Again, we must obtain the z-scores to solve this. The corresponding z-values needed to be computed are:

Now, because the variable x is a normal distribution, then the variables Zlow and Zup have a normal distribution. Therefore, the probability is computed in the following way:

C. Finally, we must compute the following probability:

The corresponding z-value needed to be computed is:

Again, because x follows a normal distribution, then the variable Zlow has a normal distribution and the probability is computed as:

Summary

The results are:

A. 76.208

B. 0.1507

C. 0.0168

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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The investment earned a rate of interest of approximately 22.7%, indicating a positive growth of the investment over the two-year period.

The rate of interest earned can be calculated using the formula for compound interest:

Rate of Interest = [(Final Value - Initial Value) / Initial Value] * 100

Using the given information:

Initial Value = $3,300

Final Value = $4,050

Substituting these values into the formula:

Rate of Interest = [($4,050 - $3,300) / $3,300] * 100

Calculating the numerator:

$4,050 - $3,300 = $750

Substituting the numerator into the formula:

Rate of Interest = [$750 / $3,300] * 100

Simplifying the expression:

Rate of Interest = (750 / 3300) * 100

Dividing the numerator by the denominator:

Rate of Interest ≈ 0.227 * 100

Rate of Interest ≈ 22.7%

Therefore, the rate of interest earned on the investment is approximately 22.7%. The formula for calculating the rate of interest is derived from the concept of compound interest. It measures the percentage increase in the initial investment that results in the final value.

To calculate the interest earned, subtract the initial value from the final value. In this case, the initial value is $3,300 and the final value is $4,050, resulting in an increase of $750. Divide this increase by the initial value to get the fraction gained, then multiply by 100 to express the rate of interest as a percentage.

In the given scenario, the investment earned a rate of interest of approximately 22.7%, indicating a positive growth of the investment over the two-year period.

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Answer:

I think the answer is m=3

Step-by-step explanation:

Hope this helps :D

Answer: I dont know

Step-by-step explanation:

Honestly I agree

Answer:

11x² - x + 10

Step-by-step explanation:

Given

(5x² + 2x + 1) + (6x² - 3x + 9 ) ← remove both parenthesis

= 5x² + 2x + 1 + 6x² - 3x + 9 ← collect like terms

= 11x² - x + 10

The range of the data for Shona and Miguel will be 35 and 30, while the median of the data will be 40 and 42.5.

A boxplot is a visual representation of a data set's dispersion and centers.

The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.

The data set of the Miguel is;

25,30,35,40,45,50,55

The median of the data is;

\(\rm Median =( \frac{n+1}{2}) ^{th} term \\\\ Median =( \frac{7+1}{2} )^{th} term \\\\ Median = 4 ^{th} term \\\\ Median = 40\)

Shona's data is;

25,30,35,40,45,50,55,60

The median of Miguel's data is;

\(\rm Median_{shona} = \rm \frac{40+45}{2} \\\\ Median_{shona} =42.5\)

The range of Miguel's data is;

⇒ 55-25

⇒ 30

The range of Shona's data is;

⇒60-25

⇒35

Hence, the median of the data for Shona and Miguel will be 40 and 42.5 and the range of the data for Shona and Miguel will be 35 and 30.

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Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula \(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

\(m= \frac{-2-0}{1-(-3)}\)

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

\(m = \frac{4-1}{1-(-1)}\)

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: \((\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\)

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

\((\frac{-3+4}{2}, \frac{2-1}{2})\)

Simplify:

Midpoint = (1/2, 1/2)

\(\boxed{9}\rule[0.35em]{10em}{0.25pt}\stackrel{\sqrt{86}}{\approx 9.27}\rule[0.35em]{17em}{0.25pt}\boxed{10}\)

Answer:

A. 10.35 am

Step-by-step explanation:

Let's turn 1 : 10 pm to 13:10

now subtract 2:35 from it and you will get 10:35

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

Hats cost $15, T-Shirts cost $25, Jackets cost $45

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Step-by-step explanation:

2.5<x<8.0???????????

Answer:

5.5 < x < 10.5

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

8 - 2.5 < x < 8 + 2.5

5.5 < x < 10.5

Answer:

9. y=(x+1)^2+4

10. y=(x-1)^2+4

7. (6,1)

8. (5,-2)

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

A) Leo comió más, ya que comió 1/2 de la pizza.

B) Joel y Evelio comieron menos, ya que comieron 1/8 de la pizza.

C) Asimismo, Joel y Evelio comieron igual, ya que cada uno comió 1/8 de la pizza.

D) En total, entre todos comieron una pizza.

Step-by-step explanation:

Dado que cuatro amigos compraron una pizza, de la cual Leo se comió 1/2, Adán 1/4, Joel 1/8 y Evelio se comió lo que sobró, para determinar quién comió más, quién comió menos, quiénes comieron igual y cuántas pizzas se comieron en total se deben realizar los siguientes cálculos:

1/2 + 1/4 + 1/8 + X = 1

4/8 + 2/8 + 1/8 + X = 1

7/8 + X = 1

X = 1 - 7/8

X = 1/8

Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Step-by-step explanation:

From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.

Total ratio = 2+3+5 = 10

100Rs = 2/10 × 400000

= 80,000

50Rs = 3/10 × 400000

= 120,000

10Rs = 5/10 × 400000

= 200,000

Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

The doubling time of a population can be computed by using the exponential growth formula: dt = ln(2)/r.

Exponential growth refers to a situation where the value keeps on increasing at a constant rate relative to the initial value.

The exponential growth function represents this situation and is given as

f(x) =a(1+r)ˣ

f(x) = exponential growth function

a = initial amount or value

r = growth rate

x = period of time

To find the population's doubling time, we can apply the exponential formula for time: dt = ln(2)/r

Where:

dt = the doubling time,

r = the growth rate (expressed as a decimal fraction)

ln(2) = the natural logarithm of 2 (about 0.693)

For instance, when a population has a growth rate of 0.05 (5%) per year, its doubling time is about ln(2)/0.05 = 13.9 years.

Thus, one can calculate the exact doubling time of a population by using the exponential growth equation above, solving for time.

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Answer:

We need to know the rate constant (k), which can be determined experimentally or given in the reaction's rate equation to calculate the half-life of a reaction or decay process.

Once you have the rate constant, you can use the following formula:

\(\bold{t_{\frac{1}{2}}=\frac{ln 2}{k}}\)

Where:

\(t_{\frac{1}{2}}\)

represents the half-life of the reaction or decay process.

ln represents the natural logarithm.

k is the rate constant.

By plugging in the appropriate rate constant into the formula, you can calculate the half-life for a specific chemical reaction or decay process.

To know about the product of symmetric matrices. I will provide proof for both the 2x2 and nxn cases.

Proof:
a) 2x2 symmetric matrices A and B:
Let A = |a, b|
         |b, c|
   B = |p, q|
         |q, r|
AB = |ap+bq, aq+br|
       |bp+cq, bq+cr|
BA = |ap+pq, bp+rq|
       |aq+bq, bq+cr|

To prove that AB is symmetric, we need to show (AB)ij = (AB)ji, where i and j are indices.
(AB)12 = aq+br and (AB)21 = bp+cq
(AB)12 = (AB)21 if aq+br = bp+cq
This is equivalent to AB=BA, which is the condition given.

b) nxn symmetric matrices A and B:

To prove that the product AB is symmetric, we need to show (AB)ij = (AB)ji.
(AB)ij = Σ Aik * Bkj (summing from k=1 to n)
(AB)ji = Σ Ajk * Bki (summing from k=1 to n)

Now, since A and B are symmetric matrices, we have Aik=Aki and Bkj=Bjk.
(AB)ij = Σ Aki * Bjk
(AB)ji = Σ Aki * Bjk

As we can see, (AB)ij = (AB)ji if and only if AB = BA.

In conclusion, for both the 2x2 and nxn cases, the product of two symmetric matrices A and B is a symmetric matrix if and only if AB = BA.

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Answer:

21,265.65 in³

Step-by-step explanation:

Formula: Volume (V) = πr²h

V = πr²h

Slotting in values,

V = 3.14 x 1.5² x 3.01

V = 3.14 x 2.25 x 3.01

V = 21.26565 in³

But that is for 1 cupcake

To fill a thousand of them, you will need to multiply your answer by the number of cupcakes in total.

Therefore,

Answer = V x 1000

Answer = 21.26565 x 1000

Answer = 21,265.65 in³

The answer is already rounded to the nearest hundredth,

So they would need 21,265.65 cubic inches (in³) to fill 1000 cupcakes.

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Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

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Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

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Answer:

Step-by-step explanation:

68 degree F to C.

9/5c+32=68

C=20

Answer:

The answer is C=20

because 9/5c+32=68

Answer: Krista would spend $31 less if she bought the second pair.

Step-by-step explanation:

Given: Price of first pair of jeans = $59

Price of second pair of jeans = $28

If Krista bought second pair of jeans ( which costs $28) instead of first pair of jeans ( which costs $59), the she should pay $59-$28 = $31 less.

Hence, Krista would spend $31 less if she bought the second pair.

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

\(\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}\)

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

Answer:

21.75

Step-by-step explanation:

Change fraction to decimal

20.25 - 9.50 + 11

20.25 - 9.50 = 10.75

10.75 + 11 = 21.75

Answer:

21.75

Step-by-step explanation:

you make 9 1/2 to 9.5

20.25-9.5+11

you would do PEMDAS

Parenthesis

Exponent

Multiflicatin

Division

Addidion

Subtraction

Answer:

The missing base measure of the enlarged trapezoid is 4cm.

Step-by-step explanation:

Step 1:

2 / 3.25 = x / 6.5

Step 2:

Cross product

2 * 6.5 = 3.25 * x

Step 3:

Simplify

13 = 3.25x

Step 4:

Divide both sides by 3.25

13 / 3.25 = 3.25x / 3.25

4 = x

x = 4

The missing base measure of the enlarged trapezoid is 4cm.

Answer:

its 4cm

Step-by-step explanation:

i got it right