birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officials plan to require special treatment for the lightest 3% of newborn babies, what birth weight seperates those requiring special treatment from those who do not

Answers

Answer 1

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of  lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

[tex]z_1 = \dfrac{X-\mu}{\sigma}[/tex]

[tex]-1.88 = \dfrac{X-3570}{500}[/tex]

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth   that differentiates the babies that needed special treatment from those that do not


Related Questions

At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon

Answers

42° Celsius

your welcome<3

On Monday the temperature was -5°F. How many degrees below zero was the temperature

Answers

The temperature was 5 degrees below 0

Please help me answer this
Will give Brainly

Answers

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

input 3,4,5,6,7 output 14,20,26,32,38

Answers

Answer:

f(x) = 6x - 4.

Step-by-step explanation:

I guess you want the function which produces the outputs from the given inputs

The common difference in the outputs is 6.

The function is 6x - 4  where x is the input value.

Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please help me thx. <3

Answers

Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

question a)

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

question b)

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

we know if you didn't spend 100 dollars or less, you must have spent more than that.

so take 50-42=8

around 8 people spent 100 dollars or more.

question c)

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

33/50 = 0.66

around 66%

question d)

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

50 times 0.8 = 40

40 people

now just plot that on the graph (sorry i did it wrong in the image)

What is 0.25% of 30?

Answers

Answer:

0.075

Step-by-step explanation:

just do 30-0.025% it’s 29.925

Make a the subject of the formula.
please help asap!!!!!​

Answers

Answer:

Step-by-step explanation:

W=[tex]\sqrt{x-a/a}[/tex]

squaring both sides

W^2=([tex]\sqrt{x-a/a}[/tex] )^2

W^2=x-a/a

wa=x-a

a=x-a/w

[tex] \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}[/tex]

[tex]w = \sqrt \dfrac{{x - a} }{a} [/tex]

[tex]w {}^{2} = \dfrac{x - a}{a} [/tex]

[tex]w {}^{2} = \dfrac{x}{a} - \dfrac{a}{a} [/tex]

[tex]w {}^{2} = \dfrac{x}{a} - 1[/tex]

[tex] {w}^{2} + 1 = \dfrac{x}{a} [/tex]

[tex] \dfrac{1}{w {}^{2} + 1 } = \dfrac{a}{x} [/tex]

[tex]a = \dfrac{x}{ {w}^{2} + 1 } [/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Please look at the image

Answers

Answer:

STN = 65 Completing the 180 degrees

115+m(STN)=180

m(STN)=65

mNTR=115

because The NTR and MTS meet theyself

mRTM=65

same The NTR and MTS

because RTM ans STN meet theyself

hopefully you understand it

i am trying hard to explain the question when i solve it but my engilish is not helping to handle it

8
[tex] \frac{50}{100} [/tex]

Answers

What’s the question?

[tex]\sf\purple{0.5}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

What is the inverse operation of the square root?

Answers

Answer:

The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

If f(x)=2x+17, then f(12)=

Answers

Answer:

41

Step-by-step explanation:

Simply substitute 12 to the x:

f(12)=2(12)+17

f(12)=24+17

f(12)=41

HELP HELP HELP HELP PLS

Answers

Answer:

D. 14 Please mark as brainliest!

Answer:

14

Step-by-step explanation:

6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).​

Answers

Answer:

(x + 1)² + (y - 7)² = 25

Step-by-step explanation:

Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.

We'll find the equation of the line and solve the system to find the center.

Midpoint of the chord:

((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)

Equation of the line through chord (-1,2) and (2,3):

m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3

Perpendicular bisector is:

y - 2.5 = -3(x - 0.5)y = -3x + 4         >> (1)

And the given line is:

2x - 3y + 1 = 0y = 2/3x + 1/3    >> (2)

Solve the system:

-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1

Find y:

y = -3(-1) + 4 = 3 + 4 = 7

The center is (-1, 7)

Find the radius, the distance from center to one of points on circle

(-1, 7) and (-1, 2) 7 - 2 = 5

The equation of circle is:

(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25

Hope This Helps!!!

Hope This Helps!!!Have A GREAT DAY!!!

Find an equation of the largest sphere with center (10, 8 , 7) that is contained completely in the first octant.

Answers

Answer:

The equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is [tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex].

Step-by-step explanation:

A sphere is described by its radius and center, the radius of the largest sphere contained in the first octant are determined by the least distance of the center with respect to an orthogonal axis, that is:

Distance regarding x-axis:

[tex]d_{x} = 10 - 0[/tex]

[tex]d_{x} = 10[/tex]

Distance regarding y-axis:

[tex]d_{y} = 8 - 0[/tex]

[tex]d_{y} = 8[/tex]

Distance regarding z-axis:

[tex]d_{z} = 7 - 0[/tex]

[tex]d_{z} = 7[/tex]

Hence, the radius of the sphere must have a measure of 7. The equation of the sphere is represented by the following geometric locus:

[tex](x-h)^{2} + (y-k)^{2} + (z - j)^{2} = r^{2}[/tex] (1)

Where:

[tex]h, k, j[/tex] - Coordinates of the center.

[tex]r[/tex] - Radius of the sphere.

If we know that [tex](h,k,j) = (10, 8, 7)[/tex] and [tex]r = 7[/tex], then the equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is:

[tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex]

There are 5 blue dogs for every 2 green cats. How many green cats are there for 1 blue dog?

Answers

Answer:

2/5

Step-by-step explanation:

The ratio is 5:2 , simplify an you'll get 1:2/5

What is 5 / 7 ÷ ½ ?
step by step pls

Answers

Answer:

1 3/7

Step-by-step explanation:

5 / 7 ÷ ½

Copy dot flip

5/7 * 2/1

10 /7

Changing from an improper fraction

7/7 + 3/7

1 3/7

To divide by a fraction, multiply by its reciprocal.
5/7•2

Multiply 5/7•2


Combine 5/7 and 2
5•2/7
Multiply 5 by 2
10/7

Exact form: 10/7
Decimal form: 1.428571
Mixed form: 1 3/7

Evaluate arccos (-1/2)

Answers

Answer:

120 degrees

Step-by-step explanation:

plugged into calculator

cos inverse of -1/2

Please mark Brainliest if you feel like it:)

Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%

Answers

Answer:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Step-by-step explanation:

Given

[tex](63.3\%,79.1\%)[/tex]

Required

Express in form of: [tex]p \± ME[/tex]

First, calculate the midpiont (p)

[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]

[tex]p = \frac{142.4\%}{2}[/tex]

[tex]p = 71.2\%[/tex]

The margin of error (ME) is:

[tex]ME =79.1\% - 71.2\%[/tex]

[tex]ME =7.9\%[/tex]

So, we have:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Plz help me well mark brainliest!!

Answers

Answer:

735 mm³

Step-by-step explanation:

49 x 15 = 735

Answer:

735mm

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

What is the cost when the tow plans cost the same?

Answers

Answer:

Step-by-step explanation:

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.

For what amount of calling do the two plants cost the same?

Can somebody help me with this question

Answers

Answer:

[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]

Step-by-step explanation:

a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:

[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]

b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].

c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]

d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]

Find the value of x that makes m || n

Answers

Answer:

x = 133

Step-by-step explanation:

x + 14 = 147

x (+ 14 - 14) = 147 - 14

x = 133

The answer is x = 133

PLS ANSWER ASAP!! Person with correct answer will be marked brainliest

Answers

Answer:

B

Step-by-step explanation:

The 3 angles (6x + 2), 40, 90 lie on s straight line and sum to 180° , that is

6x + 2 + 40 + 90 = 180

6x + 132 = 180 ( subtract 132 from both sides )

6x = 48 ( divide both sides by 6 )

x = 8 → B

hope this helps! feel free to clarify

What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29

Answers

Answer: 77

Step-by-step explanation:

Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles of the first one is NOT placed back in to the bag before the second draw​

Answers

Answer:

Hint

Step-by-step explanation:

Find the sum of the geometric series if n = 5, r = 2, a = 3.

Answers

Answer:

hope it helps you see the attachment for further information

sorry but my phone couldn't captured r=2

A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?

Answers

Answer:

25 tables

Step-by-step explanation:

140-15=125

after the big table is filled 125 people are left

small tables fit 5 people

125÷5=25

1 big table and 25 small tables are needed to seat everyone

…..25 tables!!!…






…….hope ……this helps you! …..

help? (i mark brainlist if available)

Answers

Answer:

X < 120

Step-by-step explanation:

.....................

Answer:

option D

Step-by-step explanation:

X should be less than or equal to $120.00

Circle 0.5 of the stars.
There are 5 stars in this role.
There are 5 stars in this role.
How many do we circle in total?​

Answers

Answer:

2.5, 2 and 1 half stars

Step-by-step explanation:

0.5=1/2, so 5/2= 2.5

Answer:

5

Step-by-step explanation:

it is asking for .5 of the stars, which in percentage is 50%. if the total is 10 because 5 stars in each row and there are 2 rows. you add the numbers of stars per row, then divide it by 2, and you would get 5; so you would circle 5 stars.

The probability that the number on the card is a perfect square is

Answers

From 2 to 101 , the perfect square numbers are ,

4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .

Total number of possible outcomes = 100.

Total number of favourable outcomes = 9 .

Hence ,

→ P ( of getting perfect square ) = 9/100

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