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

help plss i'm lost i need help

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+20 for babysitting
+14 above zero
-100 feet below sea level
-17 u owe ur aunt
-10 candy bars left over
-9 people who didn’t get burgers
-8 years younger
+11 years older

Answer:

2) +20

4) +14

5) -100

6) -17

7) 10

8) -9

9) -8

10) +11

Step-by-step explanation:

look at the words and it will tell you whether it's positive or negative

ex. one hundred feet below sea level- it says below which means you would be going down

Help 80 Points BRAINLIEST FOR CORRECT ANSWER!!!!

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Answer:

3x+5-7

Step-by-step explanation:

Answer:

If im not mistaken it should be answer 3. Because you would have to divide amongst groups.


What is the volume please help me please

Answers

It may be 1296ft cubed

Answer:

1296

(Length x Width x Height)

6x18x12=

1296

I hope this helped! ♡+*

Please help me please help no links

Answers

yeah i don’t know the answer but don’t press those links they are hackers

Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14

Answers

Your answer to your question might be D

You roll a fair die three times. What is the probability of each of the​ following? ​a) You roll all 2​'s. ​b) You roll all odd numbers.​ c) None of your rolls gets a number divisible by 3. ​d) You roll at least one 4. ​e) The numbers you roll are not all ​4's.

Answers

Answer:

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2} =\frac{2}{8}[/tex]

[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6} =[/tex][tex]\frac{8}{27}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{8}{27}[/tex]

Open Picture Need Help With 11 & 12

Answers

Answer:

Step-by-step explanation:

7). (x + 3)(x + 7)

  = x(x + 7) + 3(x + 7)

  = x² + 7x + 3x + 21

  = x² + 10x + 21

8). (4x + 2)(x - 2)

  = 4x(x - 2) + 2(x - 2)

  = 4x² - 8x + 2x - 4

  = 4x² - 6x - 4

9). (3x + 2)(2x + 5)

  = 3x(2x + 5) + 2(2x + 5)

  = 6x² + 15x + 4x + 10

  = 6x² + 19x + 10

10). (x² - 6)(x - 4)

  = x²(x - 4) - 6(x - 4)

  = x³ - 4x² - 6x + 24

11). (x² + 9)(x - 3)

  = x²(x - 3) + 9(x - 3)

  = x³ - 3x² + 9x - 27

12). (4x²- 4)(2x + 1)

  = 4x²(2x + 1) - 4(2x + 1)

  = 8x³ + 4x² - 8x - 4

how does physical activity improve school achievement​

Answers

Answer:

Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.

HELP................!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A

Starting point (1, 4) Show me the new coordinates of the point (1, 4) after it is:
Reflected over the line y = x.
Reflected over the line y = −x.
Rotated through 90°clockwise about the origin.
Rotated through 90°counterclockwise about the origin

Answers

Step-by-step explanation:

Reflected over the line y=x is (4,1)

Reflected over the line y=-x is (-4,-1)

Rotated through 90 clockwise about the origin is (4,-1)

Rotated through 90 counterclockwise about the origin is(-4,1)

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Monday Tuesday Wednesday Thursday Friday On Time ||| || Late | ||| |||| Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

Step-by-step explanation:

1.

Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.

2.

The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.

3.

With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.

4.

With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.

Answer:

Can I get brainliest please??

Step-by-step explanation:

adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°

Answers

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

Joe bought four books at a bookstore. Here are their prices (in dollars). 7.34, 11, 13.2, 5.3 What is the total amount Joe paid at the bookstore?

Answers

Answer:

36.84

Step-by-step explanation:

just add them it is all really just basic addition nothing more to it

What is the length of ab?

Answers

Answer:

Step-by-step explanation:

{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)

Answers

Answer:

335

Step-by-step explanation:

Brep

335??? I just did this ☺️.....

Find the distance between the two points rounding to the nearest tenth (if
necessary).
(3,6) and (1,8)

Answers

Distance: (sqroot(x2-x1)^2 + (y2-y1)^2)
sqroot(1-3)^2 + (8-6)^2
sqroot(-2)^2 + (2)^2
sqroot(4) + 4
Square root of 8 = 2.82843
Round to nearest tenth
Solution: 2.8

Solve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

Find the next term in the sequence 3, 6, 9, 15, 24,

Answers

39, it is like the fibonacci sequence you take the 2 previous numbers and add them together to get the next number.

in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?

Answers

Answer:60 female workers

Step-by-step explanation:12+18=30

30x2=60

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.

Answers

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

haley puts these 12 tiles in a bag and shakes the bag.Then she picks a tile at random.What is the probability she picks a tile that is multiple of 3

Answers

Answer:

1 in 3 chance

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12

This means there are 4 multiples.

4/12 or 4 ÷ 12 = 1/3

So there is a 1 in 3 chance (33.333%) to get a multiple of 3

Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT​

Answers

Answer:

I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

4-2 = 2

3 - (-2) = 5

Put the y values over the x

[tex]\frac{2}{5}[/tex]

Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2


Answers

9514 1404 393

Answer:

  B.  P = 70 in; A = 300 in²

Step-by-step explanation:

The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...

  P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)

  P = 70 in.

Only answer choice B has the correct value. (Its area figure is also correct.)

helppppppppppppppppppppppppppppp

Answers

Answer:

3) Not equivalent

4) Equivalent multiply by 2

5) Equivalent multiply by 2

please help me asap!!

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x^2 + 5^2 = 13^2

x^2 + 25 = 169

x^2 = 144

---> x = 12

Please help me find the surface area!

Answers

Answer: question 9 COULD be 240 and 12. might be 2880

Step-by-step explanation:

please help me I dont understand this question ​

Answers

Answer:

sinx=opp/hyp=6/10=0.6

x=sin-(0.6)=37°

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.

The price of an item has been reduced by 35%. The original price was $60. What is the price of the item now ?

Answers

Answer:

the answer is $39.00

Step-by-step explanation:

Factor by removing a common
1. 3a +9ab

Answers

Answer:

3a(1+3b)

Step-by-step explanation:

First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.

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