Find the length of "a", to
the nearest tenth, using
the Pythagorean Theorem.
Enter

Answer:

Probability of missing two passes in a row is 0.08.

Step-by-step explanation:

Event E = A football player misses twice in a row.

P(E) = ?

Event X = Football player misses the first pass

P(X) = 0.4

Event Y = Football player misses just after he first miss

P(Y) = 0.2

Both the events are exclusive so the probability of occuring of these two events can be calculated by the formula:

P(E) = P(X).P(Y)

P(E) = 0.4*0.2

P(E) = 0.08

Answer:

Probability of missing two passes in a row is 0.08.

Step-by-step explanation:

Event E = A football player misses twice in a row.

P(E) = ?

Event X = Football player misses the first pass

P(X) = 0.4

Event Y = Football player misses just after he first miss

P(Y) = 0.2

Both the events are exclusive so the probability of occuring of these two events can be calculated by the formula:

P(E) = P(X).P(Y)

P(E) = 0.4*0.2

P(E) = 0.08

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

Answer:

D 2,0

Step-by-step explanation:

The mastodon bones are approximately 6764 years old, determined by calculating carbon-14 decay, with 42.1% of the original carbon-14 remaining after losing 57.9%, and using the known half-life of 5750 years.

The procedure to determine the age of the mastodon bones involves the principle of radioactive decay, specifically using carbon dating. Carbon-14, a radioactive isotope of carbon with a half-life of 5750 years, is used to date materials that were once part of a living organism.

Since the mastodon bones have lost 57.9% of their original Carbon-14, less than one half-life has passed. By using the exponential decay formula, we find that the remaining amount of Carbon-14 is 100% - 57.9% = 42.1%. One half-life (5750 years) would result in 50% remaining, and since 42.1% is a bit less than 50%, we need to determine how much less in terms of time. The calculation requires solving the following equation: N/N_0 = (1/2)^(t/T), where N is the remaining amount of Carbon-14, N_0 is the original amount, t is the time passed, and T is the half-life of Carbon-14.

To solve for t, we rearrange the equation to t = T * (log(N/N_0) / log(1/2)). Substituting the known values (T = 5750, N/N_0 = 0.421), we can calculate the time t that has passed since the death of the mastodon. When we perform this calculation, we find the bones to be slightly older than one half-life, equating to approximately 6764 years old.

Answer:

  symmetry about the y-axis is shown

Step-by-step explanation:

Points on the right of the line of symmetry (x=0, the y-axis) are the same distance from that line as the corresponding points on the left. (That is what makes it a line of symmetry.)

There is no point of rotation that will map one figure to the other after rotation, hence no point or rotational symmetry.

Answer:

Step-by-step explanation:

The figure on the right is obtained by reflecting the figure on the left across the y-axis.

Answer:

im not sure I understand the question.

Step-by-step explanation:

Answer:

equidistant from the endpoints of the segment.

Step-by-step explanation:

Answer: 120

Step-by-step explanation: to get this answer you do 5! (5 factorial), which means you multiply that number by all those which are lower down to one, or 5x4x3x2x1 in this case, which is 120

Answer: 240

Step-by-step explanation: 5 x 4 x 3 x 2 x1 = 240

Answer:

A. Confidence level

Step-by-step explanation:

The illustration showed that​ 26% of applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.

The margin of error was given as plus or minus 3 percentage points.

The important feature of the poll that was​ omitted was - confidence level.

The percent of all samples that are included in the true population parameter is given by a confidence level.

Confidence interval defines the probability that the given population parameter will fall within a specific range of values.

Mathematically we can express the scenario as :

Sample size is given as 1910​ professionals

Point estimate is 26%

Confidence level is not given.

Confidence interval is plus or minus 3 percent around 26%.

Answer:E 83[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

50% of the apartment in a certain building have windows and hardwood floors.

25% of the remaining 50% apartment without window have hardwood floors.

40% of the apartment do not have hardwood floors i.e. 60 % have hardwood floor

Therefore percent of the apartments with windows have hardwood floors is

[tex]=\frac{50 percent of total\ apartment }{60\ percent\ of\ apartment}[/tex]

=83[tex]\frac{1}{3}[/tex]%

Answer:

  about 6.418 seconds

Step-by-step explanation:

You apparently want to find t when h=0:

  0 = -16t^2 +84t +120

  0 = 4t^2 -21t -30 . . . . . . divide by -4

  t = (-(-21 ±√((-21)² -4(4)(-30)))/(2(4)) = (21±√921)/8 . . . . only the positive time is of interest

  t = 2.625+√14.390625 ≈ 6.419 . . . . seconds

It takes about 6.42 seconds for the rock to hit the water.

Answer:

6.4

Step-by-step explanation:

Answer:

8793

Step-by-step explanation:

Multiply and divide first, making the equation 8811-17-1. Now subtract. This leaves 8793

Answer:

8793

Step-by-step explanation:

99×89-34÷2-1 = 8793

Multiply: 99 x 89 = 8811

Divide: 32 ÷ 2 = 17

Add: 17 + 1 = 18

Subtract: 8811 - 18 = 8793

Answer:

502.7

Step-by-step explanation:

I'm not sure on this! but this is what I think its supposed to be, I'm sorry if that's wrong

Answer:

  -8

Step-by-step explanation:

x = -2 is in the range -3 ≤ x ≤ -1, so the definition f(x) = 4x applies.

  f(-2) = 4(-2) = -8

Answer:

-8

Step-by-step explanation:

The value of f(-2) is -8.

            -2 if x < -3

f(x) -     4x if -3 < x < -1

            x^2 if x> -1

Answer:

72

Step-by-step explanation:

If you find an interior angle, its supplement will be the exterior angle. That's one way to do the problem.

Another is to take 360 and divide it by the number of sides. That is the easier way to do it.

Exterior angle = 360 / divided by the number of sides

Exterior angle = 360 /5

Exterior angle = 72

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

The other way is done by

(n - 2) * 180 = 540

That's the total number of degrees in the interior of the pentagon.

1 interior angle = 540 / 5 = 108

The supplement of this angle is 180 - 108 = 72

Same answer 2 different ways.

Answer:

56060550

Step-by-step explanation:

555x101010=56060550

That’s a lot of zombies and I’m scared now.

Answer:

56,060,550

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

took all numbers add them together than divided by 3

[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{\stackrel{\textit{difference of squares}}{(x^3-y^2)(x^3+y^2)}+2y^4}\implies [(x^3)^2-(y^2)^2]+2y^4 \\\\\\ x^6-y^4+2y^4\implies \boxed{x^6+y^4}[/tex]

Answer:

a) [tex](x^3-y^2)(x^3+y^2)+2y^4=x^6+y^4[/tex] is an identity.

Step-by-step explanation:

Most of the left hand sides are in this form:

[tex](a-b)(a+b)[/tex].

When you multiply conjugates you do not have to use full foil.  You can just multiply the first and multiply the last or just use this as a formula:

[tex](a-b)(a+b)=a^2-b^2[/tex].

Choice a), b), and d). all have the form I mentioned.

So let's look at those choices for now.

a) [tex](x^3-y^2)(x^3+y^2)+2y^4[/tex]

[tex](x^6-y^4)+2y^4[/tex]  (I used my formula I mentioned above.)

[tex]x^6+y^4[/tex]  

So this is an identity.

b)  [tex](x^3-y^2)(x^3+y^2)[/tex]

[tex]x^6-y^4[/tex] (by use of my formula above)

This is not the right hand side so this equation in b is not an identity.

d) [tex](x^3-y^2)(x^3+y^2)+2y^4[/tex]

[tex](x^6-y^4)+2y^4[/tex]

[tex]x^6+y^4[/tex]

This is not the same thing as the right hand side so this equation in d is not an identity.

Let's look at c now.

c) [tex](x^3+y^2)(x^3+y^2)[/tex]

There is a formula for expanding this so that you could avoid foil. It is

[tex](a+b)(a+b) \text{ or } (a+b)^2=a^2+2ab+b^2[/tex].

Just for fun I'm going to use foil though:

First: x^3(x^3)=x^6

Outer: x^3(y^2)=x^3y^2

Inner: y^2(x^3)=x^3y^2

Last: y^2(y^2)=y^4

---------------------------Add.

[tex]x^6+2x^3y^2+y^4[/tex]

This is not the same thing as the right hand side.

Answer:

The option B

Step-by-step explanation:

The  weak correlation rank is between 0,25 and 0,5

The correlation is 0,26,  which mean that 26 per cent of the variation is caused for set x

Answer:  A. It is a weak negative correlation, and it is not likely causal.

Step-by-step explanation:

Given : The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes.

It means there is correlation . But there it is not likely causal because one  thing is not causing other.

The correlation coefficient relating the two variables is -0.26.

We know that when the absolute value of correlation coefficient lies between 0.1 to 0.3, then it indicates that there is weak association.

The absolute value of given correlation coefficient (0.26) lies between 0.1 to 0.3, therefore, it shows weak correlation.

Also, it has negative sign , so it must indicate a weak negative correlation.

Answer:

see attached graph on the graph tool

Step-by-step explanation:

The equation of the parabola is

x²-6x-16y+25=0

vertex at (3,1) and focus at (3,5)

Answer:

(3)x+(3)

Step-by-step explanation:

Answer:

The height of the red prism must be twice the height of the blue prism

Step-by-step explanation:

The height of the red prism must be twice the height of the blue prism.

Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.Volume of a prism can be calculated as the area of the base multiplied by the height.

V= b*h....

Answer:

b.

packaging costs

Step-by-step explanation:

Packaging costs are not fixed costs.

Option B is the correct answer.

Fixed costs are expenses that do not vary with changes in the volume of goods or services produced.

They are typically time-related and can be considered "fixed" in the short term.

We have,

(a) Equipment leases are usually fixed costs because they involve a set monthly or annual payment regardless of how much the equipment is used.

(c) Insurance can also be considered a fixed cost because the premium is usually paid regularly, such as monthly or annually, and does not change based on the number of claims made.

(d) Salaries are typically considered fixed costs because they are paid regularly and do not change based on the amount of work done or sales made.

However,

(b) packaging costs are typically variable costs because they are directly related to the number of products produced.

The more products produced, the more packaging materials are needed, resulting in higher packaging costs.

Thus,

Packaging costs are not fixed costs.

Learn more about fixed costs here:

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Answer:

  $257.95

Step-by-step explanation:

We have assumed the payment is made at the end of each month, and the last payment will bring the balance to $1 million.

Answer:

452.16 units^2

Step-by-step explanation:

Given

Radius = r= 6 units

The formula for finding the surface area of a sphere is:

[tex]A = 4\pi r^2\\A= 4 * 3.14 * (6)^2\\A=12.56*36\\A = 452.16[/tex]

In the formula, π is taken as 3.14.

So, the surface area of the given sphere is 452.16 units^2 ..

Answer:

452.39 units²

Step-by-step explanation:

To get the surface area of a sphere, all you need is the radius. The formula for the surface area is:

V=4πr²

So all you need to do is plug in the values:

V = 4πr²

V = (4)(π)(6)²

V = 4π36

V = 452.39 units²

BUT WAIT! If your teacher set the value of π to 3.14, the answer would be 452.16 units².

The correct answer is A

Explanation:

A Venn diagram is a type of diagram used in mathematics and other fields to show sets and their relationship, because of this, Venn diagrams include at least two sets that are presented in two overlapped circles, in this each circle represents the elements that exclusively belong to each set, while the elements that belong two both sets are placed in the overlapped sections and the elements that do not belong to any of the sets are outside the circles. This implies, in the Venn diagram presented the elements that belong to swamp are in section B, the ones that belong to rainforest are in section D, the elements bot sets share are in section C and those that do not belong to any of the sets presented or that are different from the are in section A, as these elements are outside the circles and therefore do not belong to any of the sets that are represented by the circles.

Answer:

The ending cash balance is $12,800

Step-by-step explanation:

This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are "provided" cash from various activities of $37,000. Based on the word used we can tell that this means we have to add this to our initial balance like so,

[tex]6,800 + 37,000 = 43,800[/tex]

Now our balance is $43,000. Next we are told that Net Cash "used" in investing activities is $13,600 and "used" in financing activities is $17,400. Based on this word we can tell that this money is being subtracted from our balance.

[tex]$43,000 - 13,600 - 17,400 = 12,800[/tex]

Finally, we can see that the ending cash balance is $12,800

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The ending cash balance for Stormer Company can be calculated by starting with the beginning cash balance, adding the net cash provided by operating activities, and then subtracting the net cash used in investing and financing activities: $6,800 beginning balance + $37,000 provided - $13,600 invested - $17,400 financed = $12,800 ending cash balance.

To solve this problem, it's crucial to understand that the ending cash balance is calculated by adding or subtracting the net cash provided or used from the beginning balance. In this scenario, the company has reported net cash provided by operating activities, as well as net cash used in investing and financing activities. To find the ending cash balance, you should follow these steps:

So, based on the numbers provided by the Stormer Company, its ending cash balance should be $12,800.

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Answer:

1) 6 cm

2) 117°

Step-by-step explanation:

1) Draw a picture of the rhombus.  The distance between opposite sides is the height of the rhombus.  If we draw the height at the vertex, we get a right triangle.  Using trigonometry:

sin 30° = h / 12

h = 12 sin 30°

h = 6 cm

2) Draw a picture of the rectangle.

∠KML is the angle the diagonal makes with the shorter side ML.  This angle is 54°.  ∠NKM is the angle the diagonal makes with the shorter side NK.  ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.

The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P.  So m∠PKM = 27°.

KLMN is a rectangle, so it has right angles.  That means ∠KML and ∠KMN are complementary.  So m∠KMN = 36°.

We now know the measures of two angles of triangle KPM.  Since angles of a triangle add up to 180°, we can find the measure of the third angle:

m∠KPM + 36° + 27° = 180°

m∠KPM = 117°

Answer:

  7x

Step-by-step explanation:

This illustrates the meaning of a logarithm.

The natural log of 7x is the power to which e must be raised to give 7x. When you raise e to that power, you get 7x.

Answer: the answer would be -4

Step-by-step explanation: it is going down 4 units

Answer:

D.

Step-by-step explanation:

Just see which point yields the highest value.

f(x,y)=4x-3y

Checking choice A:

(x,y)=(5,0)

f(5,0)=4(5)-3(0)=20-0=20.

Checking choice B:

(x,y)=(4,6)

f(4,6)=4(4)-3(6)=16-18=-2.

Checking choice C:

(x,y)=(7,5)

f(7,5)=4(7)-3(5)=28-15=13.

Checking choice D:

(x,y)=(8,2)

f(8,2)=4(8)-3(2)=32-6=26

Choice D yields the highest value of the points given for our relation f(x,y)=4x-3y.

Answer:

609

Step-by-step explanation:

Standard deviation = [tex]\sigma[/tex] = $30

Margin of error = E = $2

Confidence level = 90%

Since the distribution is said to be normal, we will use z scores to solve this problem.

The z score for 90% confidence level = z = 1.645

Sample size= n = ?

The formula to calculate the margin of error is:

[tex]E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=z\frac{\sigma}{E}\\\\n=(\frac{z\sigma}{E} )^{2}[/tex]

Using the values in above equation, we get:

[tex]n=(\frac{1.645 \times 30}{2} )^{2}\\\\ n = 608.9[/tex]

This means, the minimum number of observations required is 609