The joint pdf of random variables X and Y is given as [A(x+y) 0

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

b.x=3

Step-by-step explanation:

-8-x+2=-2-8x+17

8x-x-8+2=15

7x-6=15

7x=15+6

x=21/7=3

The function f(x) = x + 1 is continuous, while the function g(x) = -x is not continuous, when considering the lower limit topology on Rl.

To show that a function is continuous, we need to demonstrate that the pre-image of every open set under the function is an open set. Conversely, to show that a function is not continuous, we need to find at least one open set whose pre-image is not open.

1. f(x) = x + 1:

Let U be an open set in Rl. In the lower limit topology, open sets are of the form [a, b) for a, b ∈ R with a < b. Now, consider the pre-image of U under f(x), denoted as f^(-1)(U). We need to show that f^(-1)(U) is an open set.

If x ∈ f^(-1)(U), then f(x) = x + 1 ∈ U. Since U is an open set of the form [a, b), there exists ε > 0 such that (x + 1 - ε, x + 1 + ε) ⊆ U. This implies that x - ε < x + 1 - ε < x + 1 < x + 1 + ε < x + 1 + ε + 1, so x ∈ (x - ε, x + 1 + ε + 1) ⊆ f^(-1)(U). Therefore, f^(-1)(U) is an open set, which shows that f(x) is continuous.

2. g(x) = -x:

To show that g(x) is not continuous, we need to find an open set whose pre-image is not open. Let's consider the open set U = [0, 2) in Rl. Now, consider the pre-image of U under g(x), denoted as g^(-1)(U). If x ∈ g^(-1)(U), then g(x) = -x ∈ U, which implies -x ∈ [0, 2). This leads to -2 ≤ -x < 0, which gives 0 ≤ x < 2. However, in the lower limit topology, the open set [0, 2) does not contain its lower endpoint 0, so its pre-image under g(x) is not open. Thus, g(x) is not continuous in the lower limit topology.

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Answer:

t ≤ 2.8

Leo can travel no more than 2.8 hours or 2 hrs, 48 min

Step-by-step explanation:

50t ≤ 140

t ≤ 140/50

t ≤ 2.8

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Answer:

8 inches

Step-by-step explanation:

A store scanner has a red laser wavelength of 650 nm. While a green laser pointer has a wavelength of 502 μm. The ratio of green to red wavelengths is 0.77.

To find this ratio, we need to divide the wavelength of the green laser by the wavelength of the red laser:

502 μm / 650 nm = 0.77

Note that we need to convert the units of the green laser wavelength from micrometers (μm) to nanometers (nm) in order to divide it by the red laser wavelength, which is already in nanometers. To do this, we multiply the green laser wavelength by 1000:

502 μm * 1000 = 502000 nm

So the ratio of green to red wavelengths is 502000 nm / 650 nm = 0.77.

This ratio indicates that the green laser has a shorter wavelength than the red laser. Generally, shorter wavelengths correspond to higher energy and higher frequency light. In the case of lasers, this means that the green laser is capable of producing a more intense and focused beam of light than the red laser.

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Answer:

X = 1/2, 2

Step-by-step explanation:

= (2x-1)(x-2)

Answer:

OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY

Step-by-step explanation:

Answer: Here the value of x is 0.4.

Step-by-step explanation: The given equation is 1/4x = 5/8. To find the value of x, here we have to keep the x (Variable) to L.H.S and constants to R.H.S or vice versa.

                     i.e.        x = 8/20  ........... (1)

After completing Step 1,

      Divide 8 by 20 and we'll get the required answer which is 0.4.

Cos G therefore equals 4/5 since we must use mathematics to express cos G as a fraction in the simplest words.

A closed, two-dimensional triangle in geometry is a shape having three straight sides and three angles. Triangles can be categorized according to the size of their angles and the length of their sides. In three locations known as vertices, a triangle's three sides come together. An angle is the place where two triangle sides intersect, and the angle that faces a given side is known as the opposing angle. A triangle's three angles can never add up to more than 180 degrees.

given

We may use the cosine rule to find cos G:

(E2 + F2 - G2) / cos G (2EF)

Inputting the values provided yields:

\(cos G = (20^2 + 25^2 - 15^2) / (2 * 20 * 25)\)

= (400 + 625 - 225) / 1000 = 800 / 1000 \s= 4 / 5

Cos G therefore equals 4/5 since we must use mathematics to express cos G as a fraction in the simplest words.

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The value of 6 / 8 - 4/7  is 5/28.

what is fraction ?

A fraction is a numerical representation of a part of a whole or a ratio of two numbers. It is written as a number or expression in the form of a numerator and a denominator separated by a horizontal line or slash.

6/8 - 5/8

To subtract fractions with the same denominator, simply subtract the numerators and keep the denominator the same:

6/8 - 5/8 = (6 - 5)/8 = 1/8

Therefore, 6/8 - 5/8 = 1/8.

20/5 - 12/5

Again, we have fractions with the same denominator, so we can subtract the numerators and keep the denominator the same:

20/5 - 12/5 = (20 - 12)/5 = 8/5

Therefore, 20/5 - 12/5 = 8/5.

6/8 - 4/7

To subtract fractions with different denominators, we need to find a common denominator. In this case, we can use the least common multiple of 8 and 7, which is 56.

To get the equivalent fractions with a denominator of 56, we need to multiply the numerator and denominator of each fraction by the appropriate factor:

6/8 * 7/7 = 42/56

4/7 * 8/8 = 32/56

Now we can subtract the numerators and keep the denominator the same:

42/56 - 32/56 = 10/56

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

10/56 = 5/28

Therefore, The value of 6/8 - 4/7  is 5/28.

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Answer:

no ive never seen is it a cartoon

Step-by-step explanation:

Answer:

Yes I have seen it i reccomend it to

Answer:

x =7

Step-by-step explanation:

Distribute

Add six into both sides of the equation

simplify

subtract x from both sides of the equation

simplify

Answer:500

explanchion: 1000/50=500

Given the test statistic and p-value for the alternative hypothesis μx # 45 are 1.78 and 0.08 respectively, if the alternative hypothesis were µx > 45 The correct answer is: b. The p-value would equal 0.04.

The p-value represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. In this case, if the alternative hypothesis were changed to µx > 45 (one-sided alternative), the p-value would be different.

Since the original p-value was given as 0.08 for the alternative hypothesis µx ≠ 45 (two-sided alternative), we need to consider the area in the tail of the distribution corresponding to the new alternative hypothesis. In a one-sided test, we are only interested in one tail of the distribution.

If the original p-value was 0.08 for both tails, in the case of a one-sided test, the p-value would be half of that value since we are considering only one tail. Therefore, the new p-value would be 0.08 / 2 = 0.04.

So, the correct answer is:

b. The p-value would equal 0.04.

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Suppose the test statistic and p-value for the alternative hypothesis μx # 45 are 1.78 and 0.08, respectively. How would this p- value change if the alternative hypothesis were µx > 45 instead?

a. The p-value would not change.

b. The p-value would equal 0.04.

c. The p-value would equal 0.16.

d. The p-value would equal -0.08

Answer:

y= 1

Step-by-step explanation:

20=8x+4y

20=(8x2)=(4x1)

Answer:

w = 12.38

Step-by-step explanation:

w - 2.58 = 9.8

add 2.58 to both sides

w = 12.38

Answer:

x = -1

Step-by-step explanation:

(x1,y1) = (1,4) and m = 2

(y-y1)/(x-x1) = m

derive the linear function first before finding the zero.

(y-4)/(x-1) = 2

cross multiply

y-4 = 2(x-1)

y-4= 2x - 2

y = 2x - 2+4

y. = 2x + 2 is the linear equation

at y = 0 gives the zero

2x + 2 = 0

2x = -2

x = -2/2

x = -1 is the zero

The radical expressions when evaluated are √15/3x, [4√(3b) + 4b]/[3 - b²] and √(3a)/2a

From the question, we have the following parameters that can be used in our computation:

√5 ÷ √3x²

So, we have

√5 ÷ x√3

Rationalize

√5/x√3 * √3/√3

Evaluate

√15/3x

Next, we have

4√b ÷ (√3 - b)

Rationalize

4√b/(√3 - b) * (√3 + b)/ (√3 + b)

So, we have

[4√(3b) + 4b]/[3 - b²]

Next, we have

[3√(a²)/√3 ÷ 2a³⁺²]

So, we have

[a√3 ÷ 2a³⁺²]

This gives

[a√3 ÷ 2a√a]

Rationalize

[a√3 ÷ 2a√a] * [√a ÷ √a]

So, we have

[a√3a ÷ 2a²]

Divide

√(3a)/2a

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The common ratio is -1/3 and the initial term is -4, then the formula is:

A(n) = -4*(-1/3)^(n - 1)

Remember that in a geometric sequence, to get the next term we need to multiply the previous term by the common ratio.

To get the common ratio, take the quotient between two consecutive terms.

We will get:

(4/3)/(-4) = -1/3

Then the n-th term of the geometric sequence is:

A(n) = -4*(-1/3)^(n - 1)

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Answer:

\((-4)\left(\frac{1}{3}\right)^{n-1}\)

Step-by-step explanation:

The common ratio between any two terms in a geometric sequence is constant. Let this ratio be denoted by r. Then, we have:

\(r = \frac{\frac{4}{3}}{-4} = \frac{-\frac{4}{9}}{\frac{4}{3}} = \frac{\frac{4}{27}}{-\frac{4}{9}} = \frac{1}{3}\)

Using this value of r, we can write the formula for the nth term an as:

\(an=\)\((-4)\left(\frac{1}{3}\right)^{n-1}\)

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer: c

A false statement implies a true statement, so the conditional statement is true

Step-by-step explanation: just took the test

The sketch of the function z = 6 − 2x − 3y is illustrated below graph.

The term in math called function is defined as special relationship where each input has a single output.

Here we have the function as z = 6 − 2x − 3y

Now, we have to plot the function into graph.

In order to plot the graph, first we have to identify the variable in the function here in the function we have 3 variable. then we plot the graph on the 3 dimensional plane.

If you want to understand how to draw 3−D plot, then assume one of the coordinate is zero and draw line of remaining two coordinate,

In a similarly draw for other two coordinates too, you will get purview of

3−D plot of that function that has been look like as follows.

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Answer:

x = 120

z = 21

Step-by-step explanation:

x and 60 are supplementary, so added together they make 180.

x + 60 = 180

subtract 60 from both sides

x = 180 - 60

x = 120

next, x and 4z+36 are equal, so you can make this equation:

x = 4z + 36

substitute x for 120 as established earlier.

120 = 4z + 36

subtract 36 from both sides

120 - 36 = 4z

84 = 4z

divide both sides by 4

84/4 = z

21 = z

The approximate value of the expression (−4.8)−9 ⋅ (−4.8)9 is 0.99999999735.

To evaluate the expression (−4.8)−9 ⋅ (−4.8)9, we need to follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

Let's break down the expression step by step:

(−4.8)−9 means raising −4.8 to the power of -9.

First, let's calculate (−4.8)−9:

(−4.8)−9 = 1 / (−4.8)9 (since a negative exponent signifies taking the reciprocal of the base)

Now, let's calculate (−4.8)9:

(−4.8)9 ≈ -11084.4720416 (using a calculator or computational tool to perform the exponentiation)

Substituting this value back into the previous step:

(−4.8)−9 = 1 / (−4.8)9 ≈ 1 / (-11084.4720416) ≈ -9.017218987 × \(10^{(-5)\)

Next, let's move on to the second part of the expression:

(−4.8)−9 ⋅ (−4.8)9 = (-9.017218987 × \(10^{(-5)\)) × (-11084.4720416)

Calculating the multiplication:

(-9.017218987 × \(10^{(-5)\)) × (-11084.4720416) ≈ 0.99999999735

Therefore, the approximate value of the expression (−4.8)−9 ⋅ (−4.8)9 is 0.99999999735.

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By looking at the point where the lines intersect, we can see that the solution of the system is (-1, 1).

When we have a system of equations, one way of solving it is by graphing both equations in the same coordinate axis, and then finding the points where the two graphs intercept.

Here we can see two graphs of lines (so we have a system of linear equations), and we can see that they intercept at the point (-1, 1), which means that the solution of the system is that point.

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Answer:

3 boxes I believe

Step-by-step explanation:

6 friends want 5 cookies each

6×5=30

if there are 12 cookies in each box then 2 boxes would be 24 cookies and 3 boxes would be 36 cookies. there would be left over cookies but there would be enough for monas friends