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andreev551 [17]
3 years ago
13

simple random sample from a population with a normal distribution of 99 body temperatures has x overbarequals98.20degrees Upper

F and sequals0.63degrees Upper F. Construct a 95​% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.50degrees Upper F​?
Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x be the normal body temperature

X is N(99, sigma)

Sample mean x bar = 98.2 and s = 0.63

Margin of error = Z critical * 0.63 = 1.95 *0.63 = 1.2285

It is safe since 1.5 <1.96 critical value of z at 95%

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Tom has 5 comic books in his collections and receives 5 new comic books each month. Joe has 145 comic books, but sends 5 to each
Sindrei [870]

Answer:

In 7 Months both will have same number of comic books.

The both will have 40 comic books in 7 months.

Step-by-step explanation:

Let Number of months be x.

Given:

Tom Has number comic books = 5

Each month he receives number of books = 5

Total Number of books he has after x month can be calculated by sum of number of comic books he has + number of comic books he receives multiplied by number of months

Hence Total Number of books he has after x month = 5+5x

Also Given:

Joe Has number comic books = 145

Each month he send number of books to 1 friend = 5

Number of friends = 3

Hence books send to friend each month = 5\times3 =15

Total Number of books he has after x month can be calculated by Difference of number of comic books he has and number of comic books he send to friends multiplied by number of months

Hence Total Number of books he has after x month = 145-15x

We need to find the number of months in which both will have same number of of comic book.

Hence we can find by making both equation equal we get;

5+5x=145-15x

Combining same terms we get;

5x+15x=145-5\\20x =140\\x=\frac{140}{20}=7 \ months

Hence the will have same number of comic books after 7 months.

Now we need to find the number of books the both had after 7 months:

Tom has = 5+5x=5+5\times7= 5+35=40\ books

Joe has = 145 - 15x = 145 - 15\times7 = 145-105 = 40 \ books

Hence they both will have 40 comic books after 7 months.

4 0
3 years ago
This is Science I could not pick...
andrew-mc [135]

Answer:

Oils

Step-by-step explanation:

:)

8 0
2 years ago
What are the factors of the square root of 329
Andru [333]

Answer: x=-\dfrac{3}{2}, 7

Step-by-step explanation:

2x^2-10x-26=x-5

2x^2-10x-26-x+5=0  Move all terms to one side

2x^2-11x-21=0 Simplify 2{x}^{2}-10x-26-x+5

2x^2+3x-14x-21=0 Split the second term

x(2x+3)-7(2x+3)=0  Factor out common terms in the first two terms, then in the last two terms.

(2x+3)(x-7)=0 Factor out the common term 2x+3

x=-\dfrac{3}{2}, 7

5 0
3 years ago
Read 2 more answers
If p, q are zeroes of polynomial f(x) =2x^2-7x+3,find the value of p^2+q^2​
Elza [17]

Answer:

p^2 + q^2 = 22/9.

Step-by-step explanation:

For a quadratic function ax^2 + bx + c if the zeroes are A and B then

A + B = -b/a and AB =  c/a.

2x^2 - 7x + 3

Now p and q are the zeroes of the above function so

p + q =  7/3 and pq = 3/2.

Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

=  49/9 - 3

= 49/4 -  27/9

= 22/9.

4 0
3 years ago
Find the x and y intercepts of the graph of the equation y=x^2-5
mr_godi [17]

Answer:

x intercepts  -sqrt(5), + sqrt(5)

y intercept -5

Step-by-step explanation:

y = x^2 -5

to find the x intercept set y=0 and solve for x

0 = x^2-5

add 5 to each side

5 = x^2

take the square root of each side

+- sqrt(5) = sqrt(x^2)

x = +-sqrt(5)    there are 2 x intercepts since it is a quadratic


to find the y intercept set x=0 and solve for y

y = 0-5

y = -5

8 0
3 years ago
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