Suppose we know that the birth weight of babies is Normally distributed with a mean 3500g and a standard deviation of 500g. What is the probability that a baby is born that weighs less than 3100g?

Answers

Answer 1

Answer:

0.21186

Step-by-step explanation:

We solve the above question using the z score formula.

z = (x-μ)/σ, where

x is the raw score = 3100g

μ is the population mean = 3500g

σ is the population standard deviation = 500g

z = 3100 - 3500/500

z = -0.8

Probability value from Z-Table:

P(x<3100) = 0.21186

The probability that a baby is born that weighs less than 3100g is 0.21186


Related Questions

Marcus believes he can score a goal at least 70% of the time.He runs a simulation where he tracks the number of successful goals out of ten attempts. He runs the simulation 100 times.
Goals 0 1 2 3 4 5 6 7 8 9 10
Frequency 0 1 2 2 1 0 1 18 40 30 5
He decides to use a significance level of 0.05. What can he conclude about his null hypothesis that he will score no more than 6 goals out of 10?

Answers

Answer:

The p-value is 0.07, which is more than 0.05. Fail to reject the null hypothesis.

Step-by-step explanation:

How many 7/9 cups servings are in 2/9 cups of juice?!?

Answers

Answer:

3

Step-by-step explanation:

I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).

In this case:

7/9 divided by 2/9=3

Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.


A.
431.6 km


B.
268.8 km


C.
688 km

Answers

Answer:  C) 688 km

=================================================

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

Which expression is equivalent to x^2 - 64?

Answers

Answer:

X= 8 and X=-8

Step-by-step explanation:

x^2-64

spilt into (x-8)(x+8)

set both equal to 0

0=x-8

x=8

0=x+8

x=-8

PLZ HELP WILL MARK BRAINIEST

Today, everything at a store is on sale. The store offers a 20% discount.

The regular price of a T-shirt is $16.

If the regular price of an item is x dollars, what is the discount price in dollars?

a.) 0.2x
b.) 0.8x
c.) 1.2x
d.) none of the above

Answers

Answer:

D?

Step-by-step explanation:

Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the painting?

please tell ans step by step..

Answers

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=[tex]\frac{10}{100}\times x=\frac{10x}{100}[/tex]

If S.P increase by 240 then

Profit=15% of x=[tex]\frac{15x}{100}[/tex]

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=[tex]\frac{100x+10x}{100}=\frac{110}{100}x[/tex]

For second case

New S.P[tex]=x+\frac{15}{100}x[/tex]

         =[tex]\frac{115}{100}x[/tex]

According to question

[tex]240+S.P=\frac{115}{100}x[/tex]

[tex]240+\frac{110x}{100}=\frac{115}{100}x[/tex]

[tex]240=\frac{115}{100}x-\frac{110x}{100}[/tex]

[tex]240=\frac{115x-110x}{100}[/tex]

[tex]240=\frac{5}{100}x[/tex]

[tex]x=\frac{240\times 100}{5}[/tex]

[tex]x=4800[/tex]

Hence, the C.P of the painting=$4800

a triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?


ill give brainiest

Answers

Answer:

[tex]x = 48[/tex]

Step-by-step explanation:

[tex]18.6 + 113.4 + x = 180[/tex]

[tex]132 + x = 180[/tex]

[tex]x = 180 - 132 [/tex]

[tex]x = 48[/tex]

how do you factor: 2x + -15

Answers

Answer:

It is not factorable.

Step-by-step explanation:

It is not factorable with rational numbers.

Answer:

This expression is not factorable with rational numbers.

Step-by-step explanation:

2x+(-15)=2x-15

Brainliest need help plz




A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B. Which statement is true about the given information? ∠CED measures 45°. ∠CED measures 180°. ∠AEC measures 90°. ∠AEC measures 45°.

Answers

Answer:

The answer is 90

Step-by-step explanation: Im not 100% sure but yeah.

Geometry help, please!!!
provide the missing reasons for the proof.
Given: Prove: ΔABC ~ ΔDBE
_____________________________________________
picture provided below

Answers

Answer:

1: Given

2: Verical angles are always congruent

3: Angle Angle theorem

Subtract -7x^2+4x+2−7x
2
+4x+2 from x^2-3x
2
−3.

Answers

Answer:

-8x² - 12x + 1

Step-by-step explanation:

just add or subtract values with the same terms. eg -7x + 4x ,, etc

solve for x or find x ​

Answers

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

Rhian sat a maths test and an English test. in the maths test, she scored 14/17. in the English test, she scored 31/39. in which test did she do better

Answers

Answer:

She did better on the Math test.

Step-by-step explanation:

14/17 is 82 percent, and 31/19 is only about 80%.

If the temperature outside is 60 degrees at 6 pm and then drops by 15% at 10 pm, what is the temperature at 10 pm?

Answers

Answer:

51 degrees

Step-by-step explanation:=Given data

Temperature at 6pm = 60 degrees

percent drop= 15%

= 15/100*60

=0.15*60

=9 degrees

Hence the temperature at 10 pm is 60-9= 51 degrees

A kite is flying at a height of 20 m vertically above the ground. Just below it, a fish is underwater at a
depth of 5 m. Find the vertical distance between kite and the fish​

Answers

Answer:t a particular point it is exactly above the fish moving in a pond 3m below the ground level. Find the vertical distance between these two points.? is done on EduRev Study Group by Class 7 Students. The Questions and Answers of A kite is flying at a height of 10m above the ground level. At a particular point it is exactly above the fish moving in a pond 3m below the ground level.

Step-by-step explanation:

3 unit right
3 unit left
3 unit up
3 unit down

8 unit right
8 unit left
8 unit up
8 unit down

Answers

The answer to your question is 3 units to the right and 8 units down.

help me I keep getting it wrong

Answers

Answer:

see explanation

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 = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line

-------------------------------------------------------------------

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line

A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.

Answers

The equation that can be used to represent the turbo jet pack will be 6b + 7.

How to calculate the equation

From the information given, the turbo jet pack is given as six times the number of boxes plus seven. This will be:

= (6 × b) + 7

= 6b + 7

The x-ray vision glass is given as five fewer than two times the number of boxes. This will be:

= (2 × b) - 5

= 2b - 5

The invisible shield is given as one more than ten times the number of boxes. This will be:

= (10 × b) + 1

= 10b + 1

Learn more about equations on:

https://brainly.com/question/13763238

Find the value of x. Round to the nearest tenth.

Answers

Answer:

14.8

Step-by-step explanation:

cos 36° = 12/x

x = 12 /cos 36°

9 x 3/9 is greater than less than or equal to 9?

Answers

Answer:

9 x 3/9  is less than 9

Step-by-step explanation:

Answer:

No because when multiplyin a fraction your outcome is less than the orginal

number most likely

Step -by-step explanation:

the percentage of people who took less than 40 secs to complete a task give answer in 1 decimal place

Answers

Answer:

63.6%

Step-by-step explanation:

Total number of people that took the test = 110

People who took less than 40 seconds to complete the task = 30 + 40

                                                                   = 70

The percentage of the people that took less than 40 seconds to complete the task can be determined as follows:

= [tex]\frac{number of people who used less than 40 seconds}{total number of people who took the task}[/tex] x 1100%

= [tex]\frac{70}{110}[/tex] x 100%

= 0.6364 x 100%

= 63.6%

The percentage of the people that took less than 40 seconds to complete the task is 63.6%.

Solve for X: X+8=3(x-7)-5

Answers

Answer:

x = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Distributive Property

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

Distribute 3:                                                                                                      x + 8 = 3x - 21 - 5Combine like terms:                                                                                       x + 8 = 3x - 26[Subtraction Property of Equality] Subtract x on both sides:                      8 = 2x - 26[Addition Property of Equality] Add 26 on both sides:                                34 = 2x[Division Property of Equality] Divide 2 on both sides:                                17 = xRewrite/Rearrange:                                                                                        x = 17

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x

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

Answers

Answer:

the picture is blurry on my screen can u pls insert another picture

Step-by-step explanation:

Could you help me please ?

Answers

Answer:

she messed up on the part where u need to cube root the solution she should of gotten 6 from the 4.

Write 9 x 1 + 3 x 1/10 + 4 x 1/ 1000

Answers

Answer:

A

Step-by-step explanation:

please simplify √16bx⁴​

Answers

Answer: 4bx^2

Step-by-step explanation:

Answer:

Hey there!

I got the answer

4bx^4

Step-by-step explanation:

All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.

X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation?

Answers

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

¿entre las fracciones 33/96 y 34/96 podrían encontrarse más números fraccionarios? ¿ cuántos?​

Answers

Sorry don’t know language

PLEASE HELP how do i solve (5-3i)^2

Answers

Answer:

16-30i

Step-by-step explanation:

This is what I got :)

Answer:

16−30i

Step-by-step explanation:

Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)  

2

=a  

2

−2ab+b  

2

.

{5}^{2}-2\times 5\times 3\imath +{(3\imath )}^{2}

5  

2

−2×5×3+(3)  

2

 

2 Simplify  {5}^{2}5  

2

  to  2525.

25-2\times 5\times 3\imath +{(3\imath )}^{2}

25−2×5×3+(3)  

2

 

3 Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}(xy)  

a

=x  

a

y  

a

.

25-2\times 5\times 3\imath +{3}^{2}{\imath }^{2}

25−2×5×3+3  

2

  

2

 

4 Simplify  {3}^{2}3  

2

  to  99.

25-2\times 5\times 3\imath +9{\imath }^{2}

25−2×5×3+9  

2

 

5 Use Square Rule: {i}^{2}=-1i  

2

=−1.

25-2\times 5\times 3\imath +9\times -1

25−2×5×3+9×−1

6 Simplify  2\times 5\times 3\imath2×5×3  to  30\imath30.

25-30\imath +9\times -1

25−30+9×−1

7 Simplify  9\times -19×−1  to  -9−9.

25-30\imath -9

25−30−9

8 Collect like terms.

(25-9)-30\imath

(25−9)−30

9 Simplify.

16-30\imath

16−30

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