Please give me an example

Answer: the answer is P(HHlC') = 1/2

Step-by-step explanation:

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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1. ∠1 and ∠3 are vertically angles

2. ∠8 and ∠7 are Same side interior .

when parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles, same side exterior angles, same side interior angles etc.

Therefore, the angles can be established as follows:

Hence,

∠1 and ∠3 are vertically opposite angles.

Vertically opposite angles are congruent.

∠7 and ∠8 are Same side interior angles.

Same side interior angles are supplementary. That means they add up to 180 degrees.

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Answer: I am guessing this has to be 5^2! If it's wrong sorry I let you down!

Step-by-step explanation:

The probability of being dealt a flush is 0.038, or 3.8%.

This is calculated by taking the number of possible flushes (5,108), dividing it by the total number of possible poker hands (2,598,960), and then multiplying by 100 to get a percentage.

To calculate this, you first need to know how many possible flushes there are. There are 4 suits in a standard 52 card deck, so there are

4x4x4x4x4 = 1,024 possible flushes.

However, since a flush can consist of 5 cards of the same rank, you need to multiply this by the number of possible ranks, which is 13. This gives you 1,024 x 13 = 13,312 possible flushes.

Now, to calculate the probability, you need to divide the number of possible flushes by the total number of possible poker hands. Since there are 52 cards in the deck, and you have 5 cards in a poker hand, the total number of possible poker hands is:

52x51x50x49x48 / (5x4x3x2x1) = 2,598,960.

Therefore, the probability of being dealt a flush is 13,312 / 2,598,960 = 0.038, or 3.8%.

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Answer:

y= 2 x + 2 i think

Step-by-step explanation:

They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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The value of the expression is approximately 1.132. First, we need to convert the angles from degrees to radians because trigonometric functions in calculators typically use radians as input.

To convert degrees to radians, we use the formula: radians = degrees x (π / 180)

So, we have:

 = 38.2° = 0.666 radians (approx.)

B = 146.4° = 2.552 radians (approx.)

Next, we can plug these values into the expression:

2cos(Â) + cos^2(B)

Substituting  and B with their respective values, we get:

2cos(0.666) + cos^2(2.552)

Using a calculator, we can evaluate this expression as follows:

2cos(0.666) + cos^2(2.552) ≈ 1.132

Therefore, the value of the expression is approximately 1.132.

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The differential of arc length for the curve C parametrized by r(t) is given by:

ds = sqrt((dx/dt)² + (dy/dt)²) dt

where x =  \(e^t\)² and y = ln(t+1).

Taking the derivatives, we get:

dx/dt = 2t (\(e^t\))²
dy/dt = 1/(t+1)

Substituting into the formula, we get:

ds = sqrt((2t \(e^t\)²)² + (1/(t+1))²) dt

Simplifying, we get:

ds = sqrt(4t²e²t² + 1/(t+1)²) dt

Therefore, the differential of arc length for the curve C parametrized by r(t) is:

ds = sqrt(4t²e²t² + 1/(t+1)²) dt.

This formula allows us to calculate the length of the curve C between two points on the curve by integrating the differential of arc length between the corresponding values of t.

The formula shows that the length of the curve increases as t increases, with the rate of increase depending on the values of t and e.

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Answer:

y = 42 and/or x = 36

Step-by-step explanation:

y + 48 = 90
y = 42 (subtracted 48 from 90)

3x + 2x = 180 (angles are linear pairs)
5x = 180 (combine like terms)
x = 36 (divided by 5 on both sides)

I didn't know which question you needed help with, I hope this makes sense :)

❄ Hi there,

the sum of complementary angles is always 90°.

If we know one of these angles, we can set up an equation –

\(\triangleright\sf{y+48=90}\)

and then solve for y...

\(\triangleright \ \sf{y=42}\)

That's it!

❄

The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.

Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.

75 ft = 75/ 3.281 = 22.86 m.

We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,

   S = ut + at²/2

S is the displacement, here the height = 22.86 m

u is the initial velocity, which is 0

t is the time

a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².

S = 0×t + 9.8t²/2

22.86 = 4.9t²

t² = 22.86/4.9

   = 4.665

t = √4.665 = 2.159 s = 2.16 s

So the time taken for the feather to reach water will be 2.16 s.

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The independent variable in this experiment is the type of coffee given to the participants: decaf or regular coffee.

The independent variable is the variable that the researcher deliberately manipulates or controls in an experiment. In this case, the researcher manipulated the type of coffee given to the participants by providing them with either decaf or regular coffee. The researcher had control over which type of coffee each participant received, and this manipulation of the independent variable allowed for a comparison of the effects of decaf and regular coffee on the participants' performance on the math test.

By assigning participants randomly to either the decaf or regular coffee group, the researcher ensured that any observed differences in the test scores between the two groups can be attributed to the independent variable (type of coffee) rather than any other factors. This experimental design enables the researcher to draw conclusions about the potential impact of caffeine on math test performance.

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The estimated position of the particle at t = 4.2 is 8.6 meters. The maximum possible error in the linearization at t = 4.2 is 0.05 meters.

(a) To estimate the position of the particle at t = 4.2, we can use the linearization of s(t) at t = 4:

s(t) ≈ s(4) + v(4)(t - 4)

Plugging in s(4) = 8 and v(4) = 3, we get:

s(t) ≈ 8 + 3(t - 4)

At t = 4.2, we have:

s(4.2) ≈ 8 + 3(4.2 - 4)

≈ 8.6

Therefore, the estimated position of the particle at t = 4.2 is 8.6 meters.

(b) The error in the linearization is given by:

Error = s(4.2) - L(4.2)

where L(4.2) is the value of the linearization at t = 4.2. Using the linearization formula from part (a), we have:

L(t) = 8 + 3(t - 4)

L(4.2) = 8 + 3(4.2 - 4)

= 8.6

Therefore, the maximum possible error is given by:

\(|Error| ≤ max{|s''(t)|} * |(4.2 - 4)^2/2|\)

where |s''(t)| is the maximum absolute value of the second derivative of s(t) on the interval [4, 4.2]. We know that the acceleration satisfies |a(t)| < 10 m/s^2 for all times, so we have:

\(|s''(t)| = |d^2s/dt^2| ≤ 10\)

Plugging in the values, we get:

\(|Error| ≤ 10 * |0.1^2/2|\)

= 0.05

Therefore, the maximum possible error in the linearization at t = 4.2 is 0.05 meters.

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The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.

A mathematical statement that equates two algebraic expressions is known as an equation. The equal to (=) sign appears between the expression and an equation.

Parallel lines are straight lines in the same plane that never cross each other.

The parallel lines have the same slope.

Given that,

Equation of the given line is x = -2

Any line parallel to this line will be in the form x = K, where K is a constant.

The line will pass through ( -5 , 4).

The line x = K will satisfy the point ( -5 , 4)

-5 = K

x = -5

Hence, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.

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Answer:

x = 25

Step-by-step explanation:

4x + 2x+10 + x-5 = 180

7x + 5 = 180

7x = 175

x = 25b

Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

A) male-42 male+biology-14 biology-34

Step-by-step explanation:

Hope this helps

Have a great day!

To calculate the probability of missing 5 or more free throws in a randomly selected game, we can use the binomial distribution formula. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

P(X >= 5) = 1 - P(X < 5)

where X is the number of free throws missed out of 12 and P(X < 5) is the probability of missing less than 5 free throws.

To find P(X < 5), we can use Excel or a binomial probability table. Using Excel, we can use the formula:

=BINOM.DIST(4,12,0.25,TRUE)

where 4 is the number of free throws missed, 12 is the total number of free throws, 0.25 is the probability of missing a free throw, and TRUE specifies that we want the cumulative probability up to and including X = 4.

This gives us P(X < 5) = 0.675, so

P(X >= 5) = 1 - 0.675 = 0.325

Therefore, the probability of missing 5 or more free throws in a randomly selected game is 0.325 or approximately 32.5%. It is important to note that this probability does not necessarily indicate that the player was nervous or failed, as it could simply be due to chance or other factors.

To calculate the probability of the basketball player missing 5 or more free throws in a randomly selected game, we can use the binomial probability formula or Excel's built-in function BINOM.DIST.

Here's a step-by-step explanation:

1. Identify the variables:
  - n (number of free throws): 12
  - p (probability of missing a free throw): 0.25
  - x (number of missed free throws): 5 or more

2. Calculate the probability of missing exactly 5, 6, 7, ... up to 12 free throws using the binomial probability formula or Excel's BINOM.DIST function:

  In Excel, for each value of x from 5 to 12, use the following formula:
  =BINOM.DIST(x, n, p, FALSE)

  For example, for x=5:
  =BINOM.DIST(5, 12, 0.25, FALSE)

3. Sum the probabilities for missing 5 to 12 free throws to find the probability of missing 5 or more:

  In Excel, sum the probabilities obtained in step 2:
  =SUM([Probability_x=5], [Probability_x=6], ... ,[Probability_x=12])

4. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

By following these steps, you can calculate the probability and determine if the fans' belief that the player failed due to nervousness is justified or if it is within the expected range of missed free throws.

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Answer: 15

Step-by-step explanation:

slow eater lol.

in one fifth of a minute, they ate 3 pieces. so add the other four fifths, 3 + 3 + 3 + 3 + 3, and youll get 15. easier to just multiply tho, 1/5 is 3, so 5/5 would be 3(5) = 15. hope this helps

Answer:

even if p(x) has even degree, it is not necessarily an even function. Likewise, if p(x) has odd degree, it is not necessarily an odd function. We also use the terms even and odd to describe roots of polynomials.

Step-by-step explanation:

A polynomial is even if each term is an even function. A polynomial is odd if each term is an odd function. A polynomial is neither even nor odd if it is made up of both even and odd functions.

1) Since R is reflexive, symmetric, and transitive, it is an equivalence relation. 2) here are a total of 8 distinct equivalence classes, which correspond to the 8 possible truth tables for statement forms in three variables.

To prove that the relation R is an equivalence relation, we need to show that it is reflexive, symmetric, and transitive.

1) Reflexive: To show that R is reflexive, we need to prove that every statement form in A has the same truth table as itself. This is true because every statement form is logically equivalent to itself. Therefore, P R P for all P in A.

2) Symmetric: To show that R is symmetric, we need to prove that if P R Q, then Q R P. This is true because if P and Q have the same truth table, then Q and P must also have the same truth table. Therefore, if P R Q, then Q R P for all P and Q in A.

3) Transitive: To show that R is transitive, we need to prove that if P R Q and Q R S, then P R S. This is true because if P and Q have the same truth table and Q and S have the same truth table, then P and S must also have the same truth table. Therefore, if P R Q and Q R S, then P R S for all P, Q, and S in A.

Since R is reflexive, symmetric, and transitive, it is an equivalence relation.

2) The distinct equivalence classes of R are sets of statement forms that have the same truth table. For example, one equivalence class contains all statement forms that are logically equivalent to p ∧ q ∧ r. Another equivalence class contains all statement forms that are logically equivalent to p ∨ q ∨ r. There are a total of 8 distinct equivalence classes, which correspond to the 8 possible truth tables for statement forms in three variables.

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Answer:

C

Step-by-step explanation:

all the options can give 9m+27 except C; 9m+12

The integer would be -250, since it is a decrease.

The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.

This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.

Let's represent the information above as follows:

The total ages = Wilson + Randy + Greg

That is, Wilson's age, Randy's age and Greg's ages is given as:

32 = x + (x + 3) + (x + 3) + 5

32 = x + x + 3 + x + 3 + 5

32 = 3x + 11

32 - 11 = 3x

21 = 3x

x = 21/3

x = 7 years

Therefore, from the calculations above,

Wilson's age = x

= 7 years

Randy's age = (x + 3)

= 7 + 3

= 10 years

Greg = (x + 3) + 5

= (10) + 5

= 15 years

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Step-by-step explanation:

Firstly get the price for 1 comic book

21÷6 = 7/2 or 3.5

3.5 × 111books = 388.5

Answer:

16z-48

Step-by-step explanation:

8(2z-6)

8*2z-8*6

16z-48

Answer:

16z - 48

Step-by-step explanation:

8(2z-6)

To do the Distributive Property, multiply the number outside of the parenthesis by each number inside the parenthesis, to get something like this:

8(2z) and 8(-6)

16z - 48

((If you get a positive number for the second number then it'd be 16z + 48 but since it's negative it's 16z - 48))

Answer:

slope = - 7, y- intercept = (0, 5 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 7x + 5 ← is in slope- intercept form

with slope m = - 7 and y- intercept c = 5 ⇒ (0, 5 )