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marusya05 [52]
3 years ago
11

Birth weights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g. Find the probability t

hat 100 randomly selected birth weights have a mean between 3500 g and 3600 g.
A) 0.7257
B) 0.3551
C) 0.6449
D) 0.0796
Mathematics
2 answers:
Anettt [7]3 years ago
8 0

Answer:

D) 0.0796

Step-by-step explanation:

Birth weights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g.

mean = 3570  and SD = 500

We need to find P(3500<x<3600)

P(3500<x<3600)= P(x=3600)- P(x=3500)

to find P(x=3600) we find z-score

z= \frac{x-mean}{SD} =\frac{3600-3570}{500} =0.06

Now use z-score table . z-score = 0.5239

P(x=3600)=0.6179

to find P(x=3500) we find z-score

z= \frac{x-mean}{SD} =\frac{3500-3570}{500} =-0.14

Now use z-score table . z-score = 0.4443

P(x=3600)=0.4443

P(3500<x<3600)= P(x=3600)- P(x=3500)

P(3500<x<3600)=0.5239-0.4443 = 0.0796


kykrilka [37]3 years ago
8 0

Answer:  0.6449

(The one above is wrong)

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65÷5=____ with ____ left over​
Molodets [167]

65 ÷ 5 = 11 with 0 left over​

Hope this helps! ;)

7 0
3 years ago
The sum of all three numbers is 12. The sum of twice the first number, 4 times the second number, and 5 times the third number i
DaniilM [7]

Answer:

The numbers are 7, 4 and 1

Step-by-step explanation:

Let the numbers =x, y, z.

The sum of all three numbers is 12, x+y+z=12--------i

The sum of twice the first number, 4 times the second number, and 5 times the third number is 35, 2x+4y+5z=35-------ii

The difference between 8 times the first number and the second number is 52, 8x-y=52---------iii

Now, from (i),z =1-x-y--------iv

substitute (iv) in (ii),

2x+4y+5(12-x-y)=35

2x+4y+60-5x-5y=35

collect like terms

-3x-y=-25

that is, 3x-y=25--------v

solving (iii) and (v) simultaneously (add iii and v), we have

11x=77

divide both sides by 11 to obtain x=7

Put x=7 in (v)

3(7)+y=25

21+y=25

implies y=25-21=4

put x=7 and y=4 in (iv)

z=12-7-4=1

Hence, the numbers are 7, 4 and 1.

4 0
3 years ago
A glacier advances toward the sea 0.004 mile anually. In 2010 the front of the glacier is 6.9 miles from the mouth of the sea. H
olchik [2.2K]

You know where the glacier is now, and how far it moves in
one year.  The question is asking how close to the sea it will be
after many years.

Step-1 ... you have to find out how many years

Step-2 ... you have to figure out how far it moves in that many years

Step-3 ... you have to figure out where it is after it moves that far

The first time I worked this problem, I left out  the most important
step ... READ the problem carefully and make SURE you know
the real question.  The first time I worked the problem, I thought
I was done after Step-2. 

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

Step-1:  How many years is it from 2010 to 2030 ?

               (2030  -  2010)  =  20 years .


Step-2:  How far will the glacier move in 20 years ? 

               It moves 0.004 mile in 1 year.

              In 20 years, it moves 0.004 mile 20 times

              0.004 x 20  =  0.08 mile


Step-3: How far will it be from the sea after all those years ?

              In 2010, when we started watching it, it was 6.9 miles
              from the sea.

              The glacier moves toward the sea.
               In 20 years, it will be  0.08 mile closer to the sea.
               How close will it be ?

               6.9 miles  -  0.08 mile  =  6.82 miles  (if it doesn't melt)

7 0
3 years ago
.- An employee at the local ice cream parlor asks three customers if they like chocolate ice cream. Identify the sample and the
lys-0071 [83]

Sample is the 3 selected customers; And population is all customers

According to the statement

we have given that a shopkeeper asks 3 customers to taste the chocolate icecream.

And we have to identify the sample and population.

So, A definition of sample is that a

A sample is an outcome of a random experiment. When we sample a random variable, we obtain one specific value out of the set of its possible values. That particular value is called a sample.

And a Population is defines as the is a discrete group of people, animals or things that can be identified by at least one common characteristic for the purposes of data collection and analysis.

So, according to definition Sample is the 3 selected customers; And population is all customers.

Learn more about Sample here brainly.com/question/11073037

#SPJ4

4 0
2 years ago
A bicycle tire is 28 inches in diameter.
Andrej [43]

Answer:

Option A.) 88 inches

Step-by-step explanation:

step 1

Find the circumference of the wheel

we know that

The circumference of a circle is equal to

C=\pi D

we have

D=28\ in

\pi =\frac{22}{7}

substitute

C=(\frac{22}{7})(28)=88\ in

8 0
3 years ago
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