The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3943
grams and a variance of 51,984
. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be greater than 3623
grams. Round your answer to four decimal places.

Answer

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Answers

Answer 1

According to the question the probability that a newborn baby boy born at the local hospital weighs more than 3623 grams is 0.9991.

What is probability?

Probability theory, a subfield of mathematics, quantifies the likelihood that an event will take place or that a statement is true. The probability for an event happening is a number between 0 and 1, where around 0 indicates how likely the occurrence is to occur and 1 indicates certainty. A value of probability is a mathematical representation of the likelihood that a certain event will occur. The range of percentages that can be used to indicate probabilities is 0% to 100% along with 0 to 1. the probability of occurrences in a whole collection of identically probable possibilities that results in a certain occurrence divided by the number of outcomes.

given,

We can use the z-score formula to calculate this probability:

z = (3623 - 3943) / √(51984) = -3.128

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than -3.128 is approximately 0.0009. Since we want the probability of a weight greater than 3623 grams, we need to subtract this probability from 1:

P(X > 3623) = 1 - P(X < 3623) = 1 - 0.0009 = 0.9991

Therefore, the probability that a newborn baby boy born at the local hospital weighs more than 3623 grams is 0.9991 (rounded to four decimal places).

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Related Questions

Who is most affected by a discrepancy in dosage

Answers

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

What is the discrepancy in dosage

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc

Answers

Answer:

z= 168

Step-by-step explanation:

proportion zinc to copper = 4/17

4/17 = z/ 714

17 • z = 4 • 714

17 • z = 2856

z= 2856/17

z = 168

Answer:

Step-by-step explanation:

Find the nth term of this number sequence 2, 4, 6, 8,

Answers

Answer:

$ a_n = 2n $

Step-by-step explanation:

Given sequence is: 2, 4, 6, 8,.....

Here, a = 2, d = 4 - 2 = 2

To find: $ a_n$

$a_n = a + (n - 1)d \\ \\ \therefore \: a_n = 2 + (n - 1)2\\ \\\therefore \: a_n = 2 + 2n -2\\ \\\therefore \: a_n = 2n \\ \\$

prove that there exist only five regular polyhedron

Answers

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

Proving there exist Five Regular Polyhedron

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2

=> kV/2 - kE/2 + F = 2

=> k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2

=> (kV - knF + 2F)/2 = 2

=> kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Please give me an answer with an explanation.

Answers

Answer:

40 and 10

Step-by-step explanation:

1. if the length is 'l' and height is 'h', then according to the condition 1/4*l=h.

2. if the given area is 400, it means, h*l=400;

3. if to substitute h=1/4*l into the formula of the area, then

l*l*1/4=400; ⇔ 1/4*l²=400;

4. if to calculate the value of the 'l', then l=40 (the required length).

5. if to substitute l=40 into 1/4*l=h, then h=10 (the required height).

10. Complete the statement by using the Inverse Property
of Addition
-19 +?=0

Answers

-19+19=0 is the correct answer

In a controlled lab environment some organisms exhibit growth over a specific period. Suppose a certain organism starts out weighing 16 mg and grows to 46 mg over a 5 hour period.
Find a linear model (equation of line) that describes the growth of the organism for the time period given.
Hint x is the number of hours and y is the weight

Answers

A linear model (equation of line) that describes the growth of the organism for the time period given is y = 46/5(x) + 16.

What is the slope-intercept form?

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

Based on the information provided, we have the following equation that represents the relationship between the number of hours and the weight;

y = mx + c

y = 46/5(x) + 16

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Best way to solve this type of equation Ax+by=c

Answers

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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what is the measure of 1 in the figure shown, in degrees?

Answers

Answer:

Angle 1=33 degrees

Step-by-step explanation:

There is a line that goes straightly horizontal as shown on the picture. All angles that are on a line together sum up to 180 degrees. If we look at 142 degreed angle, there is an angle next to it that sums up to 180 when combines with the 142 degree angle. We will call it u. Having a good look at the picture there is another angle that is directly opposite sided to that of angle u. We can use the vertical angles theorem to say that those 2 angles are congruent. Also, to figure out angle u, we can subtract 180 by 142 to find iut angle u. That is because they both equal to 180 degrees. 180-142= 38, angle u is 38 degrees, and so is that other angle it is opposite to. That leaves angles with 38 degrees, 109 degrees, and angle 1 to sum up to 180 degrees. 38+109= 147, 180-147=33. The measure of angle 1 is 33 degrees. Have a great day, and best of wishes for you

Which one of these diagrams shows its reference angle in standard position?

Answers

Answer:

Step-by-step explanation:

MARK AS BRAINLIEST!!

The cost to purchase the house the Bainters are considering is $195,000, but the Bainters plan to make a $40,000 down payment. The Bainters have been approved for a fixed-rate, 30-year mortgage with a 4.2% annual interest rate for the remaining costs.
What is the correct equation to determine the monthly payments of the loan?

Answers

Using the equation P = (R * A) / (1 - (1 + R)^(-N)), the Bainters' monthly mortgage payment would be $762.45.

What is the monthly payment of the loan

The equation to determine the monthly payments of the loan would be:

P = (R * A) / (1 - (1 + R)^(-N))

where:

P = monthly payment

R = monthly interest rate (which is the annual interest rate divided by 12)

A = loan amount (which is the purchase price minus the down payment)

N = total number of monthly payments (which is the number of years multiplied by 12)

Using the given values in the problem, we can substitute them into the equation:

A = $195,000 - $40,000 = $155,000 (loan amount)

R = 4.2% / 12 = 0.0035 (monthly interest rate)

N = 30 years * 12 months/year = 360 (total number of monthly payments)

P = (0.0035 * $155,000) / (1 - (1 + 0.0035)^(-360))

P = $762.45 (rounded to the nearest cent)

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The estimated population of Los Angeles in 2019 was 3,979,576. Its area is 469 square miles. What is the population density of Los Angeles, in people per square mile?

Answers

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its area is 469 square miles, the population density of Los Angeles is 8486 people per square miles.

What is the population density of Los Angeles, in people per square mile?

Population density simply the measurement of population per unit area.

It is expressed as;

Population density = Number of people / Area

Given the data in question;

Number of people in Los Angeles N = 3,979,576 peopleArea of Los Angeles A = 469 square milesPopulation density = ?

We substitute the given values into the above equation.

Population density = Number of people / Area

Population density = 3,979,576 people / 469 square miles

Population density = 8485.23667 ≈ 8486 people per square miles

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its area is 469 square miles, the population density of Los Angeles is 8486 people per square miles.

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PLEASE HEEEEELP,WILL GIVE BRAINLIEST
Also can you explain how you got your answer

Answers

when finding the bottom numbers, divide the top number by 3

when finding the top numbers,
multiply the bottom number by 3

21 / 3 = 7
12 X 3 = 36
20 X 3 = 60
90 / 3 = 30

answer: c

Answer:

The answer is c! 7,36,60,30

Step-by-step explanation:

To answer this equation you have to find a number that fits the description of what is required. It may seem difficult but it's not first off it's trial and error you have to find the right equation for every given number. For example, what makes 15 equal 5 true? To make the equation true you have to do 15 divided by 3 equals 5 now we take the / 3 and apply them to all the other numbers so 21 / 3 is 7 , 36 divided by 3 is 12 hi, 60 / 3 is 20 , 90 /3 is 30. If you have any other question like this all you have to do is trial and error with a number to make the equation true hopefully that helps! (B.t.w / symbol means divided by)

In the following diagram,
What is the measure of
∠x

Answers

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

which inequality statement below is true?
7.745966… > √59
7.745966… < √59

Answers

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h. Pls answer. You'll get 100 points.

Answers

Answer:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be xSpeed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)6x = 15x - 30 - x² + 2xx² - 11x + 30 = 0(x - 5)(x - 6) =0x -5 = 0, x - 6 = 0x = 5 km/h, x = 6 km/h

Answer:

5km/hr or 6km/hr

Step-by-step explanation:

What is the average amount of trail mix in each bag?

Answers

Answer:

4 1/4 and from all the 1/2 bags they=2 lb

Learning about sukutes. Noel began to notice them all around him. He noticed that the windshield wiper on a car divides the windshield into two sukutes. Look at the picture and calculate the unknown sukute? Fast Help

Answers

Draw a line connecting the two perpendicular lines, creating a triangle. Calculate the two remaining unknown sukutes, subtract 62 from 180 to get 118 degrees, and divide this by two to get 59 degrees.

What are perpendicular lines?

Perpendicular lines are described in geometry as line segments that join or overlap at right angles. The word 'perpendicular' comes from the Latin word 'perpendicularis,' which means a plumb line. If two lines AB and CD are parallel, we may express them as AB and CD. The sign indicates that the lines are perpendicular.

Step 1: Draw a line from the center of the windshield to the left side of the windshield. This line should be 90 degrees.

Step 2: Draw another line perpendicular to the first line, going from the center of the windshield to the right side of the windshield. This line should also be 90 degrees.

Step 3: Draw a line connecting the two perpendicular lines, creating a triangle. This line should be 62 degrees.

Step 4: Calculate the two remaining unknown sukutes. To do this, subtract 62 from 180 to get 118 degrees. Then divide this by two to get the two remaining unknown sukutes, which should both be 59 degrees.

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catetos de un triangulo regtangulo

Answers

Answer:

In English -

The legs are the sides opposite the acute angles of a right triangle. The legs are the lesser sides of the right triangle. The hypotenuse is the longest side of the right triangle.

In Spanish -

Los catetos son los lados opuestos a los ángulos agudos de un triángulo rectángulo. Los catetos son los lados menores del triángulo rectángulo. La hipotenusa es lado mayor del triángulo rectángulo.

3 cm
3=cm
3 cm
2 cm
10 cm
? cm
,2 cm
1 cm
3 cm

Answers

Answer:

Step-by-step explanation:

Do Now. Find the missing angle measures. Show your work. w 62 Angle 2: add up to 90 degree The angles are complemetary angles D2 47 Angle 3 add up to 180 degree The angles are supplementary angles 4 3.

Answers

$\begin{gathered} S^{\prime}=(7,1) \\ U^{\prime}=(6,4) \\ N^{\prime}=(1,2) \end{gathered}$

$\begin{gathered} S(1,7)\to(y,x)\to S^{\prime}(7,1) \\ U(4,6)\to(y,x)\to U^{\prime}^{}(6,4) \\ N(2,1)\to(y,x)\to N^{\prime}(1,2) \end{gathered}$

Do Now. Find the missing angle measures. Show your work. w 62 Angle 2: add up to 90 degree The angles

Write the equation of the line in point-slope form that passes through (1, -4) and has a slope of 1/4.

Answers

Answer:

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

Step-by-step explanation:

The point slope equation is y - k = m(x - h), where (h, k) is the given point and m is the given slope.

In this particular case we have y + 4 =(1/4)(x - 1)

100 POINTS IF YOU ANSWER WITH WHHSHSHSS OR SOMTJING GETTING REPORTED AND IT WILL TAKE YOUR POINTS. Math Properties of Equality, Part 2

For each expression, write an equivalent expression to show the

mathematical properties of equality.

Distributive Property:

6(m +4) = ?

Associative Property:

2 + (m + x) = ?

Commutative Property:

x + 3 = ?

Distributive Property:

3(2y - 6) = ?

Distributive Property:

m(y + 5) = ?

Answers

Answer:

Distributive Property:

6m+24

Associative Property:

m+x+2

Distributive Property:

6y-18

Distributive Property:

my+5m

Please help me ASAP please

Answers

Answer:

Independent variable: c

Dependent variable: b

Step-by-step explanation:

The c is by itself meaning it is independent. :)

Answer:

The number of cookies in the jar before your visit: Independent variable

The number of cookies remaining in the jar: Dependent variable

PLEASE HELP!!
finding square roots of negative numbers

show your work

1-) V-18

2-) 2V-16

Answers

Answer:

Work shown below!

Step-by-step explanation:

$\sqrt{-18}=\sqrt{18i^{2} } =\sqrt{2*9i^{2} }=3i\sqrt{2}$

$2\sqrt{-16} =2\sqrt{16i^{2} } =4i*2=8i$

After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink

Answers

Answer:

Step-by-step explanation:

The possibility is 48/200

The probability of people preferred the new soft drink is 6/25.

To find the probability.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.

Given that:

Total number of people taste test=200

Number of people who participated new soft drink=48

Number of people who participated old soft drink=112

Number of people who participated could not tell any difference=40

So, the probability of people preferred the new soft drink=

favorable outcome/total number of outcome

probability of people preferred the new soft drink=48/200

probability of people preferred the new soft drink=6/25

So, the probability of people preferred the new soft drink is 6/25.

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Work out the volume of the prism height of 12 4 and five

Answers

The calculated volume of the prism is 702 cubic cm

Finding the volume of the prism

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Answers

Answer:

a=20

Step-by-step explanation:

7+13=20

20-7=13

Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C

Answers

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Two types of tickets were sold for a concert. Floor seating cost $16.25 a ticket, and balcony seats were $11.30. Use the table to find the total receipts from the sale of both types of tickets

Answers

The total receipt from the sale of floor seating is $16250 while the total receipt from the sale of balcony seat is $1130

How to determine the total receipt

Represent the floor seating with f, and the balcony seats with b.

From the table in the complete question;

1000 floor seating were sold and 100 balcony seating were sold

So, the total receipt from the sale of floor seating is:

f = 1000 * $16.25

f = $16250

Also, the total receipt from the sale of balcony seat is:

b = 100 * $11.30

b = $1130

Hence: the total receipt from the sale of floor seating is $16250 while the total receipt from the sale of balcony seat is $1130