Alonzo and Cheryl are both members of a population, and a simple random sample is being conducted. If the chance of Alonzo being selected is 1/2900, what is the chance of Cheryl being selected?

Answer:

180?

Step-by-step explanation:

Answer: The new beehive will hold 200 pounds of honey

Explanation: 30 divided by 6 is five so 40*5 is 200

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

• For the first option, the first two sides sum up to 7 (2 + 5) 7 is less than 10, then these cannot be the lengths of the sides of a triangle.

• When you sum up any two sides of the second option, you get a number that is greater than the third side, like this:

4 + 4 > 7, 8 > 7

4 + 7 > 4, 11 > 4

Then, the second option 4×4×7 is a possible group of lengths for a triangle

• For the third option 14×11×6 its also possible to prove that these lengths can represent a triangle, like this:

14 + 11 > 16, 25 > 16

11 + 6 > 14, 17 > 14

14 + 6 > 11, 20 > 11

• It is well known that there are triangles whose three sides have the same lengths (equilateral triangle) then there is no need to prove it, these lengths are possible for a triangle.

• These lengths can't be possible for a triangle, since 22 (2+20) is not greater than 24 (the third side).

Then only the second (4×4×7), the third (14×11×16) and the fourth (8×8×8) options are possible sides of a triangle.

Answer:

A. (4,4.5)

Step-by-step explanation:

Midpoint={x1+x2/2,y1+y2/2}

M={4+4/2,1+8/2}

M={8/2,9/2}

M={4,4.5}

Answer:900

Step-by-step explanation: 1. set up an equation

x= (p * n)/100 when x= the answer p= the percentage and n= the total number

2. plug in the numbers

x= (30 * 3000)/100

3.solve

x= (30*3000)/100

x= (90000)/100

x= 900

Answer:

Lowering the level of significance, α increases the probability of making a Type II error, β.

Step-by-step explanation:

Lowering the level of significance, α increases the probability of making a Type II error, β.

This is because the region of acceptance becomes bigger, and it makes it less likely for one to reject a null hypothesis, when it is false, the type II error.

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

Learn more about Inequality here:

brainly.com/question/20383699

#SPJ1

The table of integrals can be a useful tool for simplifying the integration process, but it's important to have a solid understanding of calculus concepts in order to use it effectively.

The table of integrals is a tool used in calculus to simplify the process of finding antiderivatives. It lists various functions and their corresponding antiderivatives, or integrals.

To use the table of integrals, you first need to identify the function you are trying to integrate. Then, find a similar function in the table and use the corresponding antiderivative to solve your integral.

It's important to note that not all functions have a corresponding antiderivative listed in the table, and in those cases, other integration techniques must be used.

Additionally, it's always a good idea to double check your work and make sure the answer makes sense in the context of the original problem.

To learn more about : integrals

https://brainly.com/question/30094386

#SPJ11

If we use the table of integrals, the solution would be In | tan(x+7) + sec(x+7)|+C. Option A

Using the table of integral, we say

∫ (1/cos(x +7)) dx ⇒ ∫sec (x+7) dx

u = x+7   ⇒ du = dx

= ∫sec (u) du

Expand the fraction by tan (u) + sec (u)

= ∫(sec(u) (tan(u) + sec (u))/ tan (u) + sec (u)

= ∫((sec(u) tan(u) + sec²(u))/ (tan (u) + sec (u))) du

Substitute v= tan(u) + sec (u) ⇒ dv = (sec(u) tan(u) + sec²(u))du

= ∫(i/v)dv

= In(v)

Undo substitution v = tan(u) + sec(u)

=In(tan(u) + sec(u))

= In(tan(x+7) + sec(x +7))

Find more exercises on integrals:

https://brainly.com/question/14502499

#SPJ1

Answer:

x=-15

Step-by-step explanation:

-3x+5(x+2)=4x-(3x+5)

<=>-3x+5x+10=4x-3x-5

<=>-3x+3x+5x-4x=-10-5

<=>x=-15

Answer:

x=-15/7

Step-by-step explanation:

combine like terms

3x +5x +10=4x-4x+5

distribute

8x+10=4x-3x-5

combine like terms

8x+10=1x-5

subtract 10 from both sides

8x=x-15

subtract x from both sides

8x-x=x-15-x

combine like terms

7x-15

divide both by 7

7x-15

7. 7

x=15

7

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

For more such question on Quadrilateral. visit :

https://brainly.com/question/23935806

#SPJ8

Answer: D: 7

Step-by-step explanation:

14/2 = 7

49/7 = 7

Answer:

i think it's (-5,-1,1,2,4,5)

Answer:

read

Step-by-step explanation:

To find the inverse of the given function f(x) = -½√(x + 3), x ≥ -3, we can follow the steps for finding the inverse:

Step 1: Replace f(x) with y.

y = -½√(x + 3)

Step 2: Swap x and y.

x = -½√(y + 3)

Step 3: Solve for y.

Multiply both sides by -2:

-2x = √(y + 3)

Square both sides:

(-2x)^2 = (y + 3)

4x^2 = y + 3

Step 4: Replace y with f^(-1)(x).

f^(-1)(x) = 4x^2 - 3

Therefore, the inverse of the given function is:

f^(-1)(x) = 4x^2 - 3

However, it's worth noting that the domain of the inverse function may be restricted by the domain of the original function. Since the original function has a condition x ≥ -3, the inverse function's domain may be restricted as well.

Answer:

112 in

Step-by-step explanation:

14 x 8 = 112

Answer:

Step-by-step explanation:

Step-by-step explanation:

\( \frac{1237568 \times 646773}{5373737} = \frac{800425568064}{5373737} = 148951 \frac{2068177}{5373737} \)

First, multiply the numbers that are in numerator

Then divide the product of the numerator by the denominator

And lastly take out the whole part of the fraction and write what remains

It think that's it

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

125

Step-by-step explanation:

To find volume you use length x width x height. All sides of a cube or square with always be the same so just use the equation 5 x 5 x 5 to get the answer.

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

To know more about slopes visit:

brainly.com/question/14548961

#SPJ1

Answer:

Solve the following:

a.  

b.  

c.

the answer is b

Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)

Subject to:

\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

For more question on simplex algorithm click on

https://brainly.com/question/29554333

#SPJ4

Answer:

16.94 cm

Step-by-step explanation:

Answer:

\(\large\boxed{\red{\sf x =6+\sqrt{53},6-\sqrt{53}} }\)

Step-by-step explanation:

We would like to solve the given quadratic equation by completing the square method .The given equation is ;

\(\longrightarrow x^2=12x +17\)

Subtract 12x to both sides ,

\(\longrightarrow x^2-12x = 17 \)

Here the co-efficient of x² is already 1 . So , we shall rewrite it as ,

\(\longrightarrow x^2-2(6)(x) = 17 \)

Add 6² on both sides ,

\(\longrightarrow x^2-2(6)(x) + 6^2=17+6^2 \)

Now LHS is in the form of (a-b)² = a²-2ab+b² ; so that ;

\(\longrightarrow (x -6)^2 = 17+36 \)

Simplify RHS ,

\(\longrightarrow (x-6)^2=53 \)

Put square root on both sides,

\(\longrightarrow (x-6) = \pm\sqrt{53}\)

Add 6 on both sides,

\(\longrightarrow x = 6\pm\sqrt{53} \)

Separate the two solutions ,

\(\longrightarrow \underline{\underline{x =6+\sqrt{53},6-\sqrt{53}}} \)

And we are done!

Answer:

A is correct

Step-by-step explanation:

Answer:

it's A -2/9

Step-by-step explanation:

it's A

it's A

Answer:

i have the same question some one help

Step-by-step explanation:

Answer:

-18x^2 -54x + 72

Step-by-step explanation:

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

The buildings that represent the influence of ancient Greek culture are -

Given are the buildings from Ancient Greek Culture.

The buildings that represent the influence of ancient Greek culture are -

Therefore, the buildings that represent the influence of ancient Greek culture are -

To solve more questions on Ancient Greek Culture, visit the link below -

https://brainly.com/question/901951

#SPJ1

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

B. Removing plants from the hill will increase erosion on the hills

Step-by-step explanation:

Erosion is a process in which air or water slowly breaks dirt/sand from the land, or river banks, etc.

to slow down erosion, you need  to have something that keeps the sand/soil together

plants have roots that hook into the soil and keep it together and stops it from being eroded as quickly