Solve the system of equations
2y + 2x = 5
y = 2x - 7

The best measure of variability for this data is the range, and its value is 10.

The range, which is the difference between the dataset's largest and smallest values, is the appropriate variable for the data at hand.

We simply subtract the smallest value from the largest value to determine the range:

Range = 12 - 2 = 10

Therefore, the best measure of variability for this data is the range, and its value is 10.

Variability, not mean and median, are measures of central tendency. Another way to measure variability is the IQR (interquartile range), but it's not the best option for this dataset because it only takes into account the middle half of the data and may not cover the whole range of values.

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Answer:

-2

Step-by-step explanation:

Using rise/run, you can do -2/1, which is just -2.

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

0.07809

Step-by-step explanation:

all do is multiply it and you will get your anwer.

The solution to the equation  is  mathematically given as

m=-2

This is further explained below.

Generally, the equation is  mathematically given as

\(\frac{m}{m+4}+\frac{1}{4-m}=\frac{m^2}{m^2-16}\)

Where

The LCM of the denominators  are

m^2-16=(m+4)(m-4)

Hence

\((m+4)(m-4)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=(m+4)(m-4) \cdot \frac{m^2}{m^2-16} \\\)

m(m-4)-4(m+4)=m^2

m^2-4 m-4 m-16=m^2

8 m=-16

m=-2

In conclusion, the solution to the equation is

m=-2

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Answer:m=-2

Step-by-step explanation:

just answered

Answer:

X=2

Step-by-step explanation:

3=5x2-6=3x2-2

5x2-6=4

3x2-2=4

Answer:

12

Step-by-step explanation:

Brainlest pls if u can thank youu !

Answer:

12 dollars

Step-by-step explanation:

If you multiply 4 and 3, you get 12.

4 x 3 = 12

If Jimmy makes 4 dollars each day, and you need to find how much money he makes in 3 days, just multiply 4 dollars for each day.

We can find the balance at the end of the 13 years by means of the following formula:

Where FV is the future value of the annuity by the end of t years, A is the annuity, n is the number of times interest is compounded per year (quarterly) and t is the time.

By replacing 550 for A, 4 for n, 0.048 for r (4.8%) and 13 for t into the above formula, we get:

Then, by the end of the 13 years, the annuity will hold $39392

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The midpoint O(x, y) of the line segment with endpoint at A(x₁, y₁) and B(x₂, y₂) is:

x = (x₁ + x₂) / 2; y = (y₁ + y₂)/2

Given the line segment with endpoints at (1, 7) and (9, -3). Let O(x, y) be the midpoint, hence:

x = (1 + 9) / 2 = 5

y = (7 +  (-3)) / 2 = 2

The midpoint of the line segment with endpoints at (1, 7) and (9, -3) is (5, 2)

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Step 1

Write the function in slope-intercept form

Step 2

Decipher her mistake

Step 3

Conclude

When Elena moved 25x over to the right side so she could isolate y, she forget the negative sign before 20y and instead went ahead to write;

Therefore,

PQ are the first two letters and AB are the first two letters.

Since the windows are similar the letters in one are in the same orientation as the other ones.

This means PQ would be the same as AB

PQ = 60

The answer is A. 60 in.

Answer:

a

Step-by-step explanation:

Answer:

1,480

Step-by-step explanation:

*This number had one 0

* This number is divisible by 4

* This number is divisible by 10

Answer:

log 16x^7.

Step-by-step explanation:

log 4 + 2 log 2 + 7 log x

= log4 + log 2^2 + log x^7

= log (4*4*x^7)

= log 16x^7.

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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Answer:

1.66666666666666666666everlasting 6s

Step-by-step explanation:

250/150

5/3 ( divide by 50)

1 2/3 ( mixed

1.66666666667.everlasting 6s

Hope this helps :D

Answer:

1.666......

( 1.6 recurring).

Step-by-step explanation:

As both numbers are multiples of 10 it makes it a bit easier to divide both by 10 to give 25 and 15. This will give the same result as 250/150.

Now do a long division , 25 divided by 15:

        1 .66                    <-----------  25 / 15 = 1 .  1*15 goes below the 25.

    -------------------------

15 ) 25.0

       15      <---------- subtract 25 - 15 = 10

        100 <- bring down the zero(after the decimal point) & append to 10

          90 <  15 divides into 100 6 times to give 90 . Place 6 above line.

           100   < subtract 100 - 90 to give 10 then add 0

             90 < as before 100/15 = 6  to give 6*15 = 90

If you carry on as above you'll see that we get 1.6666...  and we could go on for ever. This is a recurring decimal and is usually written as 1.6 with a bar above the 6.

Answer:

B.

Step-by-step explanation\(\sqrt[3]{216} =6\)

The sky appears blue because of Rayleigh scattering while water appears blue due to selective absorption and scattering of light.

The blue color of the sky is a result of Rayleigh scattering which occurs when the Earth's atmosphere scatters shorter wavelengths of light (blue and violet) more efficiently than longer wavelengths (red and orange).

When sunlight enters the atmosphere, the blue light is scattered in all directions by the molecules and tiny particles present in the air creating the blue appearance of the sky.

Similarly, water appear blue due to selective absorption and scattering of light. Water molecules selectively absorb colors from the visible light spectrum and absorb longer wavelengths (such as red) more effectively than shorter wavelengths (such as blue).

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Answer:

y(z)

Step-by-step explanation:

sorry that was my opinion

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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The required temperature is 180K

Direct variation shows that when a variable is increasing or decreasing the other variable is also increasing/decreasing.

If the volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, this is expressed as

V = kT/P

Given that

V = 160 cm³ when T=320 kelvin and P = 12kg, hence;

160 = 320k/12
1 = 2k/12

2k = 12

k = 6

If V = 90 cm³ and P = 16kg/cm², then the value of the temperature is expressed as:

90 = 6T/16
15 = T/16
T = 15 * 16
T = 180K

Hence the required temperature is 180K

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

the decision rule is to reject H0 if Z is < -1.645

Step-by-step explanation:

this question is interested in the decision rule.

H0: u = 449

H1 : u <449

We find the test statistic

Mean bar x = 441

u = 449

Sd = 18

n = 37

Z = barX - u / sd/√n

= 441-449/18/√37

= -8/18/6.083

= -8/2.959

Z = - 2.7036

This is the value of the test statistic

The critical value at 0.05 = -1.645. this is a left tailed test

The decision rule is to reject H0 if Z < -1.645

The test statistic is less than the critical value

-2.7036 < -1.645

So we have enough evidence to reject H0. At 0.05 level we have enough evidence to support claim.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

it 11  IT NOT 22 NOR 2 okay 11

Step-by-step explanation: