The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3950 grams and a standard deviation of 374 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4473 grams. Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.9192 = 91.92% probability that the weight will be less than 4473 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean weight of 3950 grams and a standard deviation of 374 grams.

This means that [tex]\mu = 3950, \sigma = 374[/tex]

Find the probability that the weight will be less than 4473 grams.

This is the pvalue of Z when X = 4473. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4473 - 3950}{374}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a pvalue of 0.9192

0.9192 = 91.92% probability that the weight will be less than 4473 grams.


Related Questions

SECONDARY MATH III // MODULE 5

MODELING WITH GEOMETRY - 5.5

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Answer:

Its Spring break pls relax

Step-by-step explanation:

solve 3-x/2≥15
A.x ≤ -24
B.x ≤6
C.x ≥ -24
D.x ≥ -6

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What she said hope that helps

Which graph shows the solutions to the inequality? Please help ASAP!

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Answer:

A1/A2=b1/b2 is not equal to C1/c2

2(3x + 5) - 4(x - 1)
Simplified form

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Answer:

5x+11

Step-by-step explanation:

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Answer:

2x+14

Step-by-step explanation:

hope this helps!

have a great day!!

Whats the answer for 7/9 - 4/9 in fraction in number

Answers

Answer:

3/9

Step-by-step explanation:

numerator:7-4=3/9

The subtraction of the the fraction 7/9 -4/6 results to 1/3.

Given Fraction:

7/9 - 4/9

To subtract fractions, have a common denominator.

In this case, both fractions already have the same denominator of 9,

Now, subtract the numerators as:

= 7/9 - 4/9

= (7 - 4)/9

= 3/9

By dividing both the numerator and denominator by 3 gives

3/9 = 1/3

So, the answer to 7/9 - 4/9 as a simplified fraction is 1/3.

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What is the value of | -5 | ?

Answers

Answer:

if u mean absolute value it is 5.

the value is always positive an dmeans how far is it from the numberline

Step-by-step explanation:

Please help I’m really need the help (NO LINKS ) (NO LYING )

Answers

Answer:

for this you should use photomath all you do is take a picture of each problem and put the answer down

Answer:

1 = 22.4

2 = 19

3 = 22.6

4 = 18.75

5 = 23.6

6 = 20.85

7 = 29.75

8 = approximately 21.85

9 = i can't read the bottom number sorry

* all of this is squared inches too

Use the tax tables to determine the tax for the given filing status and taxable income amount:

Head of Household $63,572: $

Single $42,921: $

Married Filing Jointly $42,051: $

Married Filing Separately $63,999: $

Type the numbers with no $ sign and no decimals.

Answers

Answer:

i cant even see the picture

In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks

Answers

Answer:

1/6 or 16.666%

Step-by-step explanation:

8/48 and there is your answer.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

[tex]\sqrt{34}[/tex]

Step-by-step explanation:

The vector shown written in component form is <-3, -5>.

The magnitude of this vector is the square root of the sum of the components squared:

[tex]\sqrt{-3^{2}+-5^{2} } } \\[/tex] = [tex]\sqrt{9+25}[/tex] = [tex]\sqrt{34}[/tex]

A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.

Answers

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

Five less than twice the sum of a number n and twelve

Answers

5-2(n+12) that’s the equation. I hope this helped

PLEASE HELP!!! Area of trapezoids and triangles ​

Answers

i want to believe 30...?

Answer: 54 square inches and 18 square inches

Explanation:

The formula for the area of a trapezoid is the sum of the top and bottom bases divided by 2, multiplied by the height.

In the first picture the bases are 6 and 12, and the height is 6, so the formula would look like this:

[tex]\frac{6+12}{2} *6[/tex]

=[tex]\frac{18}{2} *6[/tex]

=[tex]9*6[/tex]

=54

54 [tex]in.^{2}[/tex] is the answer to the first problem.

Following the same method, we can do the next problem the same way:

[tex]\frac{4+8}{2} *3[/tex]

=[tex]\frac{12}{2} *3[/tex]

=[tex]6*3[/tex]

=18

18 [tex]in.^{2}[/tex] is the answer to the second problem.

Find the perimeter of the parallelogram shown.
7 yd
8 yd
5 yd
.
A26 yd

Answers

Answer:

It will be half of the original size.

HOPE I HELPED!

GIVE BRAINLIEST PLEASE!

Step-by-step explanation:

PLEASE ANSWER THE PIC BELOW

Answers

Answer: 11

Step-by-step explanation:

Since the equation of circumference is 2(r)pi

if 22pi=2(r)pi

then 22=2r

22=2r

r=11

write the inequality shown -4x+y=-3

Answers

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Craig wants to put molding around the edge of a rectangular frame that is 8 inches wide and 14 inches long. The molding costs $0.75 per inch. He buys 3 additional inches of molding. What is the total cost?
11.25
25.75
35.25
84.75
please explain your work

Answers

Answer:

$35.25

Step-by-step explanation:

Find the total number of inches needed.

The rectangle has 2 sides of 8 inches and 2 sides of 14 inches.

8 + 8 + 14 + 14 = 44 inches

he also was an additional 3 inches

44 + 3 = 47

Now we can find the total price

47 inches × $0.75 = $35.25

Hope this helps!

Which graph represents an exponential function?

Answers

The second one. The graph grows as x approaches infinity, without touching the origin.

What is the value of y=8−3x when x=5?

When x=5, y=

Answers

Answer:

-7 will be the answer.

Step-by-step explanation:

By Putting the value of x, we get:

y=8-3x

y=8-3(5)

y=8-15

y= -7

The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X

45

48

42

47

43

Mean=





Standard Deviation =

Answers

Answer:

huh what do you mean

Step-by-step explanation:

im really sorry

soup is 3 cans for $0.82, so each can of soup is $0.2733. how much does it cost for each one?

Answers

It would be $0.27 for each can

Please Help

The volume of a cylinder is 81 T cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 13.5 cm
O B. 27 cm
O C. 4.5 cm
O D. 9 cm

Answers

Answer:

Step-by-step explanation:

Volume of a cylinder of radius

r

and height

h

is

π

r

2

h

As radius is

3

and area is

81

π

cubic units,

π

3

2

×

h

=

81

π

or

9

π

×

h

=

81

π

Hence

h

=

81

π

9

π

=

9

Answer:

9 cm

Step-by-step explanation:

Which value of x makes the equation 9=34x true?
Select one:

x = 12

x=814

x = 6

x=634

Answers

did you write it wrong none of the options are possible answers the real answer is 9/34

One angle of a right triangle measures 75º. What is the measure of the other acute angle?

Answers

15
All triangles have 180 degrees. A right angle has 90 degrees. 90+75=165 180-165=15

PLESE HELP WILL MARK BRIANLIEST

Answers

Answer:

1. a=-9  b=13  c=-1

2. a=1  b=1  c=-11

You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length. Suppose that the perimeter of a rectangle is 44 feet, and the length is 8 feet more than the width. Find the width of the rectangle, in feet.

Answers

Answer:

44=2[(w+8)+w]

44=4w+16

28=4w

w=28/4

w=7feet

Elsie made a one-sample z interval for a proportion and used the critical value 2 = 1.405.
What confidence level did she use?
Choose 1 answer
84%
86%
88%
92%

Answers

Answer:

84%

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

on Khan Academy

Write the product in its simplest form 5c7 x 5c8

Answers

Answer:

25c²56

Step-by-step explanation:

I dont understand help me

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Answer:

can you help me with chemistry? ill help with this if u help with my chemistry

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and plans to collect data on the length of shots played by golfers who use the magnetic bracelets. Another golfer points out that many golfers who purchase the bracelets also purchase other expensive golf equipment, such as golf clubs, and this could be a confounding variable.

Which statement best describes the effect of the confounding variable?

A. Because golfers purchase expensive golf clubs, they may stop wearing their magnetic bracelets, which would interfere with the outcome of the study.
B. Because golfers can be randomly assigned to receive either magnetic bracelets or expensive golf clubs, the expensive golf clubs are a confounding variable.
C. Because golfers using the magnetic bracelets believe they are hitting longer shots, the study may show their shots are not as long as they believe.
D. Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots.

Answers

Answer:

d

Step-by-step explanation:

just made a 100

The statement "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the confounding variable.

What is a confounding variable?

A confounding variable is a third variable used to examine research based on a cause and effect relationship.

Golfers who are likely to use the magnetic bracelets also buy and use other expensive golf equipment. This means that it would be difficult to determine whether the bracelet is having any effect on the performance of the golfers. The effect of the expensive equipment will hinder the results of the study.

Therefore, we have determined that statement D "Because golfers may use both magnetic bracelets and expensive golf clubs, it will be difficult to determine which variable contributes most to longer shots." best describes the effect of the confounding variable.

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