When entering information into the if function, the second argument is:?

Check the picture below.

A 10 cm deep beaker mercury will have the same hydrostatic pressure as 133.5 cm deep water.

The hydrostatic pressure exerted by a fluid is given by:

P = ρ.g.h

Where:

ρ = fluid density

g = gravitational acceleration

h = fluid depth

We want to compare 2 types of fluid, water and mercury.

Divide both sides of the equation by h

P/h = ρ.g

Since pressure is held constant, then the fluid density is inversely proportional to the fluid depth.

Therefore,

h_water : h_mercury = ρ_mercury : ρ_water

Given that:

ρ_mercury = 13.55 ρ_water and h_mercury = 10 cm

Then,

h_water : 10 = 13.55 ρ_water : ρ_water

h_water : 10 = 13.55 : 1

h_water = 13.55 × 10 = 135.5 cm

Learn more about hydrostatic pressure here:

https://brainly.com/question/11758621

#SPJ4

The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

We have,

To calculate the probability that Linda's omelet will contain at least one Salmonella-contaminated egg, we can use the concept of complementary probability.

The complementary event to "at least one Salmonella-contaminated egg" is "no Salmonella-contaminated eggs."

The probability of no Salmonella-contaminated eggs in a three-egg omelet is (5/6) x (5/6) x (5/6) since each egg has a 1/6 probability of not being contaminated.

Therefore,

The probability of at least one Salmonella-contaminated egg is:

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

= 91/216 or approximately 0.4213.

Thus

The probability that Linda's omelet will contain at least one Salmonella-contaminated egg is approximately 0.4213 or 42.13%.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ4

The given distribution is (A) Bimodal skewed as the distribution has 2 humps.

As the given graph has 2 humps, we can conclude that the given distribution is an (A) Bimodal skewed.

Therefore, the given distribution is (A) Bimodal skewed as the distribution has 2 humps.

Know more about Bimodal skewed here:

https://brainly.com/question/28577461

#SPJ13

The correct answer is option C: 12/13 or simplified to 25/51.The probability ,

of not being dealt a 5 from a 52-card deck is 48/52 or simplified to 12/13. The deck of 52 cards has 4 cards of each denomination (Ace, 2, 3, ..., 10, Jack, Queen, and King) and 13 cards of each suit (hearts, diamonds, clubs, and spades).

Since there are four 5's in the deck, the probability of being dealt a 5 is 4/52 or simplified to 1/13. Therefore, the probability of not being dealt a 5 is 1 - 1/13 = 12/13.

The answer is option C: 25/51 is incorrect as it is the probability of not being dealt a spade. Option A: 25/102 and Option D: 1/2652 are also incorrect.

Option A seems to assume that the deck has 104 cards instead of 52, while Option D seems to be the probability of being dealt a specific card (5 of Hearts) rather than any non-5 card. Therefore, the correct answer is option C: 12/13 or simplified to 25/51.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

The lateral area of a rectangular prism is the area of all the sides (excluding top and bottom).

This is a rectangular prism with dimensions:

Length (L) = 15 cm

Width (W) = 6 cm

Height (H) = 26 cm

The formula for the lateral area of a rectangular prism is:

Where

LA is the Lateral Area

P is the Perimeter of the base [ P = 2(L+W) ]

H is the height of the prism

Let's substitute the given information and figure out the lateral area. Steps shown below:

The lateral area of the given prism is

Answer: 1092 cm2.

Step-by-step explanation:

The lateral area of a rectangular prism is the area of all the sides (excluding top and bottom).

This is a rectangular prism with dimensions:

Length (L) = 15 cm

Width (W) = 6 cm

Height (H) = 26 cm

The formula for the lateral area of a rectangular prism is:

Where

LA is the Lateral Area

P is the Perimeter of the base [ P = 2(L+W) ]

H is the height of the prism

Let's substitute the given information and figure out the lateral area. Steps shown below:

The lateral area of the given prism is

1092 cm2.

Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

\(\bold{GazingAtTheStars}\)

The measure of angle B in Triangle BCD is approximately 7.8 degrees.

In a right triangle, the sum of the two acute angles is always 90 degrees. Since angle D is given as 90 degrees, angle B must be the remaining acute angle.

To find the measure of angle B, we can use trigonometric ratios. In this case, we can use the tangent ratio, which is defined as the ratio of the length of the opposite side (CD) to the length of the adjacent side (DB).

Taking the inverse tangent of CD/DB gives us the measure of angle B. Therefore, angle B is approximately 7.8 degrees.

To learn more about triangle click here: brainly.com/question/2773823

#SPJ11

Answer:

The domain of g is the set of all real numbers.

Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability.

The term "experiment" in the context of probability refers to a process or activity that involves observing or measuring an outcome that is subject to chance or uncertainty. The outcome of an experiment is not necessarily predictable with certainty, and it may depend on various factors such as the conditions under which the experiment is conducted and the randomness inherent in the process.

Out of the three given options, option a) is the most appropriate definition of an experiment in the context of probability. An experiment is essentially a process that leads to one of several possible outcomes, and the probability of each outcome can be calculated or estimated based on the underlying assumptions and factors involved. Examples of experiments in probability include rolling a die, tossing a coin, drawing a card from a deck, or conducting a clinical trial to test a new drug.

Option b) is not an appropriate definition of an experiment because it suggests that the outcome can be predicted with certainty based on mathematical analysis, which is not always the case in experiments involving chance or uncertainty.

Option c) is also not an appropriate definition of an experiment because it suggests that an experiment is conducted to confirm a hypothesis, which may or may not be true. While experiments can be used to test hypotheses and provide evidence to support or refute them, the primary goal of an experiment in the context of probability is to observe or measure the outcome and calculate the probability of each possible outcome.

To know more about context of probability.  click here:

brainly.com/question/14354379

#SPJ4

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

The sample size required to provide a 95% confidence interval with a margin of error of 2 is 384

To provide a 95% confidence interval with a margin of error of 2, you need to select a sample size of at least 384. This is calculated by using the formula n = (z-score)2 × σ2 / E2, where z-score is the number of standard deviations from the mean required to achieve a specific confidence interval (1.96 for 95%), σ is the population standard deviation (40 in this case), and E is the margin of error (2 in this case).

To explain further, the formula for the sample size (n) is n = (z-score)2 × σ2 / E2. The z-score for a 95% confidence interval is 1.96. For this problem, the population standard deviation (σ) is 40 and the margin of error (E) is 2. Therefore, the sample size required to provide a 95% confidence interval with a margin of error of 2 is 384 (1.962 × 402 / 22).

To know more about standard deviation  refer here :

https://brainly.com/question/23907081

#SPJ11

Answer:

22

Step-by-step explanation:

those are the answers for each but if it is asking which one has the highest number it would be the mean (average) because its 22 which is higher than the other answers

Answer:

$7000

Step-by-step explanation:

14 didvided by 2 would be seven but you add the 0s and the wuold be 7000

Answer:

$3.96

Step-by-step explanation:

If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96

Answer:

$3.96

Step-by-step explanation:

0.88*4.5= 3.96

QUESTION A

Player E has 3.1 free throw attempts and 10.4 points.

This is represented by the point labelled D in the image.

QUESTION B

The point (2.1, 18.6) can be compared to the table.

When we do so, we can see that player B has the same values for free throw attempts and points.

Thus, that point represents the data for player B.

QUESTION C

Player O scored 14.3 points and 4.8 free throw attempts. This can be shown in the

Answer: 1. A

2. A

Step-by-step explanation:

Answer:

1) B

2) A

Step-by-step explanation:

eleven times a number would be 11n

Answer: m=-5/8

Step-by-step explanation:

Answer:

\(y=0.400x+-0.800\)

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

\(y=mx+b\)

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

\((-3,-2)=(x1,y1)\)
\((2,0)=(x2,y2)\)

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{0--2}{2--3} =\frac{2}{5}\)
\(m=\frac{2}{5} =0.400\)

\(y=mx+b\)
\(y=-2\)
\(m=0.400\)
\(x=-3\)
\(-2=0.400(-3)+b\)
\(0.400\times-3=-1.20\)
\(-2+1.2=-0.800\)
\(b=-0.800\)

\(y=0.400x+-0.800\)

Hope this helps.

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

Learn more about probability:

brainly.com/question/13604758

#SPJ11

Answer:

a) BC = 9.75m

b) length of the fence = 33.5m

Step-by-step explanation:

a) Theorem's pythagoras

BD^2 = BC^2 + CD^2

12^2 = BC^2 + 7^2

BC = √(12^2+7^2)

BC = √95

BC = 9.75

Answer - BC = 9.75m

b) Length of the fence;-

AB+BC+CD+AD

7+9.75+7+9.75

= 33.5m

Answer - Length of the fence = 33.5m

Answer: 38 divided by 8 which would equal 4.75 or 4 3/4 feet each day.

Step-by-step explanation: You divide the amount of total feet by the amount of days it took.

Here is a list representing all the possible outcomes of Jason's order:

1. Chicken nuggets, apple juice, french fries,2. Chicken nuggets, apple juice, fruit,3. Chicken nuggets, milk, french fries,4. Chicken nuggets, milk, fruit,5. Burgers, apple juice, french fries, 6. Burgers, apple juice, fruit, 7. Burgers, milk, french fries, 8. Burgers, milk, fruit, 9. Hot dogs, apple juice, french fries, 10. Hot dogs, apple juice, fruit, 11. Hot dogs, milk, french fries, 12. Hot dogs, milk, fruit

To represent all the possible outcomes of Jason's order, we need to consider all the combinations of choices he can make.

Given the options mentioned (chicken nuggets, burgers, hot dogs, apple juice or milk, french fries, and fruit), we can create a list of possible outcomes by considering all the possible combinations.

Here is a list representing all the possible outcomes of Jason's order:

1. Chicken nuggets, apple juice, french fries

2. Chicken nuggets, apple juice, fruit

3. Chicken nuggets, milk, french fries

4. Chicken nuggets, milk, fruit

5. Burgers, apple juice, french fries

6. Burgers, apple juice, fruit

7. Burgers, milk, french fries

8. Burgers, milk, fruit

9. Hot dogs, apple juice, french fries

10. Hot dogs, apple juice, fruit

11. Hot dogs, milk, french fries

12. Hot dogs, milk, fruit

This list represents all the possible outcomes of Jason's order, considering the options given.

Learn more about possible outcomes at https://brainly.com/question/30241901

#SPJ1

Answer:

The total number of marbles in the set is 107 marbles

Step-by-step explanation:

The parameters given are;

Let the size of the marbles be 1 unit

The marbles are arranged to form the equilateral triangle as follows;

1st row = 1 marble

2nd row = 2 marbles and so on so that the total number of marbles for an arithmetic series as follows;

Total number of marbles, t = 1 + 2 + 3 + ... + n

Therefore;

\(t = \dfrac{1 + n}{2} \times n\)

Since there are 2 marbles left in forming the first equilateral triangle, we have the total number of marbles in the set, t₁, is given as follows;

\(t_1 = \dfrac{1 + n}{2} \times n + 2\)

When the same marble set are arranged into a triangle in which each side has one more marble than in the first arrangement, there where 13 marble shortage, hence, the total number of marbles is given as follows;

\(t_1 = \dfrac{1 + (n+1)}{2} \times (n+1) -13\)

We therefore have;

\(t_1 = \dfrac{1 + n}{2} \times n + 2 = \dfrac{1 + (n+1)}{2} \times (n+1) -13\)

Which gives;

\(\dfrac{n^{2}+n+4}{2}=\dfrac{n^{2}+3\cdot n-24}{2}\)

Therefore;

n² + n + 4 = n² + 3·n - 24

2·n = 24 + 4 = 28

n = 14

From which we have;

\(t_1 = \dfrac{1 + 14}{2} \times 14 + 2 = 107\)

Therefore, the total number of marbles in the set, t₁ = 107 marbles.

The number of marbles in the set would be as follows:

\(107\) marbles

Arrangement

Given that,

After arranging the marbles in an equilateral Δ, 2 marbles would be left

The size of marble being 1 unit,

So,

The first row of the equilateral Δ will consist of 1 marble,

while

The second row comprises of 2 marbles.

The process goes so on and on.

Therefore,

Total marbles \(t = 1 + 2 + 3 + ... + n\)

Hence,

\(t = (1 + n)/2\) × n

Because 2 marbles are extra,

\(t = (1 + n)/2\) × n \(+ 2\)

In case,

The same marble set are framed into a triangle, every side would contain 1 marble exceeding the previous one where 13 marbles would be felt short.

Thus,

Total marbles = \(\frac{1 + (n + 1)}{2}\) × \((n + 1) - 13\)

by putting the values, we get

\(n^2 + n + 4 = n^2 + 3n - 24\\2n = 24 + 4 = 28\\n = 14\)

∵ Total marbles \(= (1+ 14)/2\) × \(14 + 2\)

\(= 107\)

Thus, 107 marbles are the correct answer.

Learn more about "Probability" here:

brainly.com/question/8069952

The curvature of the curve r(t) = (t, t, 1+t²) at the point (2, 2, 5) as 1/12.

Given:

r(t) = (t, t, 1+t²) at the point (2, 2, 5). We must find the curvature of r(t) at the point (2, 2, 5). Curvature is the rate at which a curve changes its direction at a particular point on the curve. It measures how much a curve deviates from being a straight line.

The formula to find the curvature of a curve is given by:

K = |T'(t)| / |r'(t)| where T'(t) is the derivative of T(t), and r'(t) is the derivative of r(t) to t.

Let's find the curvature of the given curve r(t). The curve is defined by r(t) = (t, t, 1+t²).

Taking the derivative of the curve, we get:

r'(t) = (1, 1, 2t)

Taking the second derivative, we get:

r''(t) = (0, 0, 2). Now we can find the unit tangent vector as:

T(t) = r'(t) / |r'(t)|

= (1/√2, 1/√2, 1/√2t)

The derivative of T(t) is:

T'(t) = (0, 0, 1/2t√2). So the curvature of the curve at point (2, 2, 5) is:

K = |T'(t)| / |r'(t)|K

= |(0, 0, 1/2t√2)| / |(1, 1, 2t)|K

= |1/2t√2| / √(1 + 1 + 4t²)

Putting t = 2, we get:

K = |1/4√2| / √(1 + 1 + 16)

K = |1/4√2| / √18

K = |1/4√2| / 3√2

K = 1 / 12

We found the curve's curvature at points (2, 2, 5) using the formula. Therefore, the curvature of the curve r(t) = (t, t, 1+t²) at the point (2, 2, 5) is 1/12.

To know more about the curvature, visit:

brainly.com/question/32215102

#SPJ11

The derivative of f at the point (-7, -6) in the direction of steepest descent is -72/√41.

To find the direction in which the function decreases most rapidly at the point (-7, -6),

we need to find the negative of the gradient vector of f at that point:

This is the direction of steepest descent. To get the unit vector in this direction, we divide by its magnitude:

Finally, to find the derivative of f in the direction of u, we take the dot product of the gradient of f with the unit vector u:

          D_uf = ∇f(-7,-6) · u

Therefore, the derivative of f at the point (-7, -6) in the direction of steepest descent is -72/√41.

Learn more about derivative

brainly.com/question/25324584

#SPJ11

Answer:

12,240 meters

Step-by-step explanation:

Since sound travels 340 meters per second, you multiply 340 by 36 seconds, and get the answer of 12,240 meters.

Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135