Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places

Answers

Answer 1

Answer:

0.8944

Step-by-step explanation:

We start by calculating the z-score

To calculate the z-score, we shall need the standard deviation

Mathematically, standard deviation is square root of variance

that will be; SD = √108,900 = 330

Formula for z-score is;

x-mean/SD/√n

where n is 65 in this case

z-score = (3882-3831)/330/√65 = 1.25

The probability we want to calculate is;

P( X < 1.25)

we can use the standard normal distribution table for this

Using the table;

P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places

Answer 2

Answer:

0.8944

Step-by-step explanation:


Related Questions

Could anyone help please?

Answers

Answer:

9.6 or round it to 10

Step-by-step explanation:

brainliest pls

Which line fits the scatter plot better?

Answers

A fits it better because the dots are closer and that line is more accurate, the other line’s dots are more spread out
A would be the best. The line is going up at a rate of 2/1 and all of the dots are very close to the line other than B.

In a survey of 2,200 people who owned a certain type of​ car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?
*blank*% of the people surveyed were satisfied with the car.

Answers

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = [tex]\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100[/tex]

Percentage of people satisfied  = [tex]\frac{880}{2200}[/tex]  x 100  = 40%

Helppp will mark brainliestttt

Answers

The set of ordered pairs represents a function because every input has only one corresponding output.

Kevin ate 2/3 of a pizza and Louisa ate 1/12 of the same pizza. How
much pizza is left? *

Answers

Answer:

7/12

Step-by-step explanation:

multiply 2/3 by 4 on both the numerator and denominator which is 8/12

8/12-1/12=7/12 (final answer because it cannot be simplified)

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?

A. 25/91
B. 66/200
C. 91/200
D. 66/91

Answers

Answer:

C

Step-by-step explanation:

Marginal relative frequency for the people who do not like cantaloupe is 0.455

or

91/100

Answer:

C is correct

Step-by-step explanation:

The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function. What is a rule that could represent this function?

A. y = x2 + 1
B. y = x2 − 1
C. y = x2
D. y = x + 1

Answers

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

y = x² + 1 is a rule that could represent the given function.

Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1

Thus,  y = x² + 1 is a rule that could represent the given function.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

sina=3/5 find cos2a​

Answers

Answer:

[tex] \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } [/tex]

Step-by-step explanation:

[tex] \because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\[/tex]

Write a recursive rule for the sequence 10, 18, 26, 34….

Answers

Answer:

42

Step-by-step explanation: It keeps going up by 8

Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks

Answers

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

Mr.marquez had 123 eggs in a refrigerator in his restaurant he put 32 more cartons of eggs in the refrigerator each carton contained 18 egg which if these is the best estimate of the number of eggs mr Marquez now has in his refrigerator

Answers

32*18= 576 eggs + 123 eggs

Answer= 699 eggs

Pls let me know in 5 min or I’m dead

Answers

Answer:

( 0 , 4 )

Step-by-step explanation:

Your estimate is correct

Answer:

(-1, 6)

Step-by-step explanation:

sub the points into the equation if LHS and RHS are equal to each other, it is correct

Two friends tried to rewrite the expression 12 + 20 using the distributive property. Which friend is correct? Explain.

Ahmad: 6(3+7)

Deena: 4(3+5)

Answers

Answer:

Deena

Step-by-step explanation:

Anthony read 46 pages of a book in 23 minutes.

To find the unit rate, use
.
Anthony read
pages per minute.

Answers

Answer: Anthony read 2 pages per minute.

Step-by-step explanation:

Answer: 2 pages/ 1 minute or (2 pages per minute)

Step-by-step explanation: To find the unit rate for how many pages of a book Anthony finds in 23 minutes, you’ll have to divide 46 by 23, which gives you a final result of 2 pages/ 1 minute or (2 pages per minute).

Which equation has the steepest graph?
a) y = 8x - 6
b) y = 3x + 7
c) y = -9x - 1
d) y = 42 x + 10
30 POINTS!
plz i need help ASAP

Answers

D. y = 42x + 10

This is because the gradient is the largest in this one :)

Determine the mass of an object, if it requires a force of 6,000 kg: m/s2 to accelerate at the rate of 2 m/s^2

Answers

Answer:

The answer is 3000 kg

Step-by-step explanation:

The mass of an object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{6000}{2} \\ [/tex]

We have the final answer as

3000 kg

Hope this helps you

[tex] \boxed{ \red{AnswEr:-}}[/tex]

Mass = 3000 kg

GivEn :-

Force = 6000 kg • m/s^2Acceleration = 2 m/s^2

To Find :-

The value of mass

Solution :-

From Newton's 2nd law of motion we get the equation,

[tex]{ \boxed{ \red{ \sf{F =

m \times a}}}}[/tex]

where,

F = Force m = mass of the objecta = acceleration

[tex] \implies \sf \: m = \dfrac{F}{a} [/tex]

Putting the values,

[tex] \implies \sf \: m = \dfrac{6000}{2} [/tex]

[tex] \implies \red{\sf \: m = 3000}[/tex]

Therefore, mass of the object = 3000 kg

8x+2 factored using the GCF.

My friend is wondering this, I have seen responses but like all are different. Please help!

7th grade math.

Answers

Answer:   2(4x+1)

Explanation:

For now, ignore the x.

The GCF of 8 and 2 is 2 since 2 is a factor of both

2 = 2*1

8 = 2*4

So if we had 8+2 we can factor 2 out like so to get 2*(4+1)

Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.

Similarly,

8x+2 = 2(4x+1)

which you can also check using the distributive property.

Which angles are vertical angles?

Answers

Answer:

T and Q

Step-by-step explanation:

It is right

Answer:

<STQ and <UTV

Step-by-step explanation:

How many pounds of turkey?

Answers

Answer:

11.25pounds

Step-by-step explanation:

Each person is eating two, 3/8

so 2x3/8=0.75 or 3/4

then do 3/4 x 15 = 11.25 pounds and for the price you do 11.25 x 1.05$ which is 11.81$ worth of turkey

The perimeter of a triangle is 59 cm. The first side is 7 cm shorter than the second side. The third side is 4 cm less than twice the length of the first side. Find length of each side

Answers

Given:

The perimeter of a triangle is 59 cm.

The first side is 7 cm shorter than the second side.

The third side is 4 cm less than twice the length of the first side.

To find:

The length of each side.

Solution:

Let x be the second side.

Then, according to the question,

First side = x-7

Third side = 2(x-7)-4

Perimeter of a triangle is the sum of all of its sides.

[tex](x-7)+x+(2(x-7)-4)=59[/tex]

[tex]x-7+x+2x-14-4=59[/tex]

[tex]4x-25=59[/tex]

Add 25 on both sides.

[tex]4x=59+25[/tex]

[tex]4x=84[/tex]

Divide both sides by 4.

[tex]x=21[/tex]

Now,

First sides =21 - 7=14 cm

Second side = 21 cm

Third side = 2(14)-4 = 24 cm

Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.

Which shape has six square, flat sides that are equal in size?

Answers

Answer: cube

Step-by-step explanation:

Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides

Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.

Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.

.

Answers

Answer:

hope this helps

Step-by-step explanation:

9+6(10-7x)

9+60-42x

69-42x

I WILL GIVE BRAINLIEST

Answers

Answer:

it should be b but if i'm wrong im really sorry :(

Step-by-step explanation:

C is the correct answer

Please help will give brainliest if its correct

Answers

Answer:

radius squared

Step-by-step explanation:

angle of elevation and depression​

Answers

Answer:

Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.

Step-by-step explanation:

Use the equation p= 8.31/v where p = pressure and V = volume.

What happens to the pressure as the volume approaches 0? Explain your reasoning.

Answers

Answer: pressure increases

Step-by-step explanation:

because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.

Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure

Answer:

The pressure approaches infinity.

The function is undefined for V = 0.

There is an asymptote at V = 0.

Step-by-step explanation:

Exact answers for edge

What is the slope of this line?

y+2=−2(x−3)

Answers

Answer:

-2

Step-by-step explanation:

The final equation is y= -2x+4, so the slope is -2

Answer:

The slope is -2

Step-by-step explanation:

This equation is in point slope form

(y-y1) = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y+2=−2(x−3)

y- -2=−2(x−3)

The slope is -2 and a point on the line is ( -3,-2)

IM BAD AT MATH HELP ME

Answers

Answer:

bro i cant see the question clearly please say in comments or say again

Problem D: PRABG4G2
Which one doesn't belong? Explain your reasoning.
A. 5 miles in 15 minutes
B. 3 minutes per mile
C. 20 miles per hour
D. 32 kilometers per hour

Answers

Answer:

D.

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

Answers

Answer:

52 young calves

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The ration is given as:

adult milking cows to young calves

= 9 : 2

= 234 : x

= 9/2 = 234/x

x = Number of young calves

Cross Multiply

9 × x = 2 × 234

= x = 2 × 234/9

x = 468/9

x = 52

Hence, the number of young calves on the farm is 52.

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