Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbarequals149.27 lb. research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals30.72 lb.a. find the best point estimate of the mean weight of all women.
b. find a 99% confidence interval estimate of the mean weight of all women

Answers

Answer 1

Answer: Answer is a. Find the best point estimate of the mean weight of all women

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Calvin and Melvin are two of Santa's elves. The number of toys they build is given by 11c + 9m where c is the number of candy canes Calvin eats for breakfast and m is the number of candy canes Melvin eats for breakfast.How many toys do they build when Calvin eats 5 candy canes and Melvin eats 3 candy canes for breakfast? :)

PLEASE HELP I DONT UNDERSTAND 9
In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?
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11
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Answers

Answer:

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , or

sin(angle) = cos(complement of angle)

x and z are complementary angles , x + z = 90 , then

sinz = cosx = $(9)/(11)$

Final answer:

In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.

Explanation:

In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.

Therefore, sin(Z) = cos(X).

Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).

Learn more about Trigonometry here:

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For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 7.38 centimeters? (Use the value of 3.14 to represent pi, and the formula for circumference = 2*pi*r)

Answers

A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.

Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2πr
r = 7.38cm/2π
r= 1.1751592 cm
diameter = 2r
= 2.3503184 cm or approximately 2.35 cm

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?]

Answers

Answer:

In 286 different ways 10 players can be selected.

Step-by-step explanation:

There are 6 girls and 7 boys in a class. So in total there are 6+7 = 13 number of students in the class.

A team of 10 players is to be selected from the class.

As there is no other conditions are given, we can pick any 10 students from 13 students.

The way we can select 10 players from 13 students is,

$=\dbinom{13}{10}$

$=(13!)/(10!(13-10)!)$

$=(13!)/(10!\ 3!)$

$=(13* 12* 11* 10!)/(10!\ 3!)$

$=(13* 12* 11)/(6)$

$=286$

This is a simple combination problem. Just take the number of girls and boys, which is 13 and take 10 of it at a time. 13C10 is 286.

The product of three integers is −5. Determine all of the possible values for the three factors.

Answers

-1,1,5
-1,-1,-5
1,1,-5

A proof should always begin with stating the given information.
True
False

Answers

A proof should always begin with stating the given information.
True

True,,, usually mostly

Water coming out from a fountain is modeled by the function f(x)= -x^2+5x+4 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x=3 to x=5 represent?A. The water falls down with an average speed of 3 ft./s from three seconds to five seconds.
B. The water falls down with an average speed of 5 ft./s from three seconds to five seconds.
C. The water travels an average distance of 3 feet from 3 seconds to 5 seconds.
D. The water travels an average distance of 5 feet from 3 seconds to 5 seconds.

Answers

Hello,

Answer A
(6 ft in 2s)

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