Solve the following system of equations by elimination. What is the value of y?
2x5y = 1
-3x+2y=-18
y = 3
y = -3
y = 1.5
y=-1.5

Answer:

Step-by-step explanation:

12w = 108

$12 for each time

w = the number of times

108 = the total earned

The school is not justified to make this claim because of the reasons defined.

The following is a statement that might be made about the high school to justify its claim No, because the z-score of Z = 1.06 is not uncommon because it does not fall within the range of a typical event, namely within 2 standard deviations of the sample mean.

It has been given to us that:

μ = 511

σ = 119

Sample size (n) = 55

and

s = 119 / √55

= 16.046

As we all know,

Only when z > 2 then, the high school's allegation is valid and warranted.

To locate,

Z's value is

So,

Z = ( X - μ )/σ

by applying the Central Limit Theorem to the values,

z = ( 528 - 511 ) / 16.046

= 1.06

Since, z < 2, as a result, the allegation is unjustified.

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Correct question:

The average math SAT score is 511 with a standard deviation of 119. A particular high school claims that its students have unusually high math SAT scores. A random sample of 55 students from this school was​ selected, and the mean math SAT score was 528. Is the high school justified in its​ claim? Explain. ▼ No Yes ​, because the​ z-score ​( nothing​) is ▼ unusual not unusual since it ▼ does not lie lies within the range of a usual​ event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means. ​(Round to two decimal places as​ needed.)

Answer:

Step-by-step explanation:

Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.

m∠2 = 50°

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 50°

m∠1 = 130°

m∠3 = m∠1 = 130° [Vertically opposite angles]

m∠3 + m∠5 = 180° [Consecutive interior angles]

m∠5 = 180° - m∠3

        = 180° - 130°

        = 50°

m∠6 + m∠5 = 180° [Linear pair of angles]

m∠6 = 180° - 50° = 130°

From the given diagram

angle 1= 130 degrees

Angle 3 = 130 degree

Angle 5= 50 degree

Angle 6= 130 degree

Given :

the two parallel lines are cut by a transversal

Angle 1  and angle 2  are linear pair of angles

Sum of angle 1  and angle 2 is 180

\(<1+<2=180\\<1+50=180\\<1=180-50\\<1= 130\)

Angle 1  and angle 3 are vertical opposite angles

They are equal

\(<1=<3\\130=<3\\<3= 130\)

When two parallel lines are cut by transversal , corresponding angles are equal

<5= <2

<5=50

Alternate exterior angles are congruent

<6=<1

<6=130

angle 1= 130 degrees

Angle 3 = 130 degree

Angle 5= 50 degree

Angle 6= 130 degree

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The chain rule for the function: dh/dx = df/dx * du/dx * dv/dx, where df/dx, du/dx and dv/dx are the derivatives of f, u and v with respect to x.

The chain rule is a rule used to calculate the derivative of a composite function. It states that the derivative of the composite function is equal to the product of the derivatives of each of its component functions. In the case of the function dh/dx, where h(x) = f(x, u(x), v(x)), the chain rule can be written as:

dh/dx = df/dx * du/dx * dv/dx

This means that the derivative of h with respect to x is equal to the product of the derivatives of f with respect to x, u with respect to x, and v with respect to x. This can be broken down further, where df/dx is the derivative of f with respect to x, du/dx is the derivative of u with respect to x, and dv/dx is the derivative of v with respect to x.

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Answer:

10 > 6q

Step-by-step explanation:

Assuming you are asking what this word problem looks like as an equation, then it would be:

10 > 6q

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

a. 5 + 7n is the algebraic expression for 7 more than the product of 5 and n

The expression needed to indicate the value of 5 added to the product of 7 and n is "5 greater than the product of 7 and n."

The equation 7n represents the product of 7 and n, and the expression 5 + 7n is obtained by adding 5 to 7n.

This is the proper algebraic expression for the phrase that was given.

It follows that 5 + 7n = 5 + 21 = 26, which is 5 more than the sum of the products of 7 and 3. As an illustration, if we substitute a value of 3 for n, the expression 7n would equal 21.

Because option b is a product of 5 and (7+n), which is not equivalent to 5 greater than the product of 7 and n, the other choices are incorrect.

The product of option c and (5+n) is 7, but it also does not equal 5 greater than the product of 7 and n.

A sum of 5, 7, and n makes up option d, which also does not equal 5 greater than the result of the product of 7 and n.

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The cost of each pencil is $2

Algebraic expressions are expressions comprised of variables, terms, factors, coefficients, and constants.

They are also made up of arithmetic operations such as addition, subtraction, multiplication division, etc

From the information given, we have that 'p' represents the cost of each pencil

The equation is represented as;

3p + $5 = $11

collect like terms

3p = $11 - $5

subtract like terms

3p = $6

Make 'p' the subject of formula

p = $6/3

p = $2

Thus, the cost of each pencil is $2

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\(\[\frac{3}{2}\]\) is the scale factor for EFGH quadrilateral.

Given: Vertices of quadrilateral EFGH

To find: Scale factor of image EFGH

\(\[\frac{3}{2}{\rm{E}}( - 2, - 1) = {\rm{E}}\left( {\frac{3}{2} \times ( - 2),\frac{3}{2} \times ( - 1)} \right) = {{\rm{E}}^\prime }\]\)

Similarly,  \(\[\frac{3}{2}\;{\rm{F}}(1,2) = {\rm{F}}\left( {\frac{3}{2} \times (1),\frac{3}{2} \times } \right) = {{\rm{F}}^\prime }\]\)

Similarly,  \(\[\frac{3}{2}{\rm{G}}(6,0) = {\rm{G}}\left( {\frac{3}{2} \times (6),\frac{3}{2} \times 0} \right) = {{\rm{G}}^\prime }\]\)

Similarly,  \(\[\frac{3}{2}{\rm{H}}(2, - 2) = {\rm{G}}\left( {\frac{3}{2} \times (2),\frac{3}{2} \times ( - 2)} \right) = {{\rm{H}}^\prime }\]\)

Hence, \(\[\frac{3}{2}\]\) is the scale factor for EFGH quadrilateral.

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Answer:

it's pretty simple y × 50

Answer:

yes it is possible

Step-by-step explanation:

for the rectangular pen, let the width be W and the Length be L,

hence the area of the pen would be:

Area = W x L

We are given that the area is to be 540. Substitute this into the equation:

WL = 540   (in order to make the next step easier, we will express W in terms of L by dividing both sides by L)

W = 540 / L --------(eq 1)

Similarly, the perimeter of the rectangular pen would be

Perimeter = L + L + W + W

Perimeter = 2L + 2W (substitute the given perimeter = 96 meters)

96 = 2L + 2W   (divide both sides by 2)

L + W = 96/2

L + W = 48   (as in equation 1, we will express W in terms of L by subtracting L from each side)

W = 48 - L ----------------------(eq 2)

if we equate (eq1) = (eq2)

540/L = 48 - L  (multiply both sides by L)

540 = L (48 - L)

540 = 48L - L²  (rearranging)

L²- 48L + 540 = 0    (solving by factorization)

(L-18)(L-30) = 0

Hence L = 18 meters or L = 30 meters

Now we find the corresponding values for W by substituting our values for L into equation 2

For L = 18 , W = 48 - 18 =30  (Hence L = 18 and W = 30 is one possible combination)

For L = 30, W = 48 - 20 = 18  (we can in L = 30 and W = 18 is another possible combination)

Since we can real solutions for L and W, we can conclude that it is possible to have an area of 540 m² and a perimeter of 96m

Answer: 8

Step-by-step explanation:

The discriminant is \(b^2-4ac\)

in the equation:

\(-x^2+4x-2\)

A = -1, B = 4, C = -2

plug into equation

\(4^2-4(-1)(-2)\)

\(16-8\)

⇒ \(8\)

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

The interval of convergence for the power series is the set of all values of x for which the series converges. The table mentioned in your question likely shows the values of x for which the series converges or diverges.

The interval of convergence for a power series is determined by finding the values of x for which the series converges absolutely. The convergence or divergence of a power series can be determined using various tests, such as the ratio test or the root test.
Once the interval of convergence is found, it can be summarized as a range of values for x. For example, if the interval of convergence is (-3, 5], then the series converges for all values of x between -3 and 5, inclusive.

Hence, the interval of convergence for a power series is the set of all values of x for which the series converges, and it can be determined by finding the values of x for which the series converges absolutely.

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Answer:

-10x^2 Is the exponential form.

1) Rotate triangle A 90° clockwise around O

C (5, 6) ⇒ D (1, 2)

2) Move triangle A' 6 spaces to the right

O (1, 6) ⇒ O' (7, 6)

D (1, 2) ⇒ D' (7, 2)

So Shape A ⇒ Shape B

Answer:

6cm produces the largest mosquito

Step-by-step explanation:

The question has missing details.

From the complete question, the function is:

\(g(x) = 12x-x^2\)

Required

Which area of rainfall produces the most mosquito

This implies that, we calculate the maximum of the function.

This is calculated as:

\(Max = -\frac{b}{2a}\)

We have:

\(g(x) = 12x-x^2\)

Rewrite as:

\(g(x) = -x^2 + 12x + 0\)

From the above:

\(a= -1\)

\(b = 12\)

\(c = 0\)

So, we have:

\(Max = -\frac{b}{2a}\)

\(Max = -\frac{12}{2 * -1}\)

\(Max = \frac{12}{2}\)

\(Max = 6\)

This implies that:

\(x = 6\) ---- the maximum

When rainfall is at 6cm, there is a maximum number of mosquitoes

The maximum is then calculated as:

\(g(x) = 12x-x^2\)

\(g(6) = 12 * 6 - 6^2\)

\(g(6) = 72 - 36\)

\(g(6) = 36\)

The maximum number of mosquito is 36 million

The perimeter and the area of each composite figure is summarized below:

Case 1: p = 2 · (4√2 + 5), A = 20

Case 2: p = 28, A = 16

Case 3: p = 4 · (√13 + 2), A = 48

In this problem we find three cases of composite figures, whose perimeters and areas should be found. The perimeter is the sum of all side lengths and the area is the sum of areas of simple figures. The area formulas needed are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The length of oblique lines are determined by Pythagorean theorem, whereas lengths of horizontal and vertical lines are found by direct inspection. Now we proceed to find the perimeter and area of each figure:

Case 1:

p = 4 · √(2² + 2²) + 2 · 5

p = 4√8 + 10

p = 8√2 + 10

p = 2 · (4√2 + 5)

A = 4 · 5

A = 20

Case 2:

p = 2 · 6 + 4 · 1 + 4 · 2 + 2 · 2

p = 12 + 4 + 8 + 4

p = 28

A = 2 · 6 · 1 + 2²

A = 12 + 4

A = 16

Case 3:

p = 4 · √(2² + 3²) + 2 · 4

p = 4√13 + 8

p = 4 · (√13 + 2)

A = 4 · 6 + 4 · 0.5 · 2 · 3

A = 24 + 24

A = 48

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Answer:

The midpoint would be (-3, 1)

Step-by-step explanation:

since the formula for midpoint is \((\frac{x^{1} +x^{2} }{2}, \frac{y^{1} +y^{2} }{2} )\), you would just have to plug in the coordinates given on the graph. I think your points are (-1, 4) and (-5, -2).

\((\frac{-1 -5}{2}, \frac{4-2}{2} )\)

\((\frac{-6}{2}, \frac{2}{2} )\)

If you simplify, then you should get (-3, 1)!

Answer:

1/5

Step-by-step explanation:

F=200/1000 = 2/10 = 1/5 Pretty simple just convert to the same unit if it doesn't make sense watch videos about the topic of unit conversion :D

Answer:

The tip was $12.  The total was $72.

Step-by-step explanation:

First, we need to find how much the tip is.  20%=1/5 of the amount of money.  If you divide 60 by 5, you get 12.  This means that the tip was 12 dollars.  If you add 60+12 you get 72 meaning that the total amount of money Angelica got was $72.

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

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

The probability of flipping a coin and having it land "heads" up is 1/2.

Since each coin flip is independent, the probability of getting three heads in a row is the product of the individual probabilities.

Therefore, the probability of flipping a coin three times and having them all land "heads" up is:

Answer:

give brainliest

Step-by-step explanation:

then i help

Answer:d + q = 40 -----> d = 40 - q

10d + 25q = 760

Substitute!

10(40 - q) + 25q = 760

400 - 10q + 25q = 760

15q = 360

q = 24

d = 40 - 24

d = 16

Step-by-step explanation: