3/4 is equal to .75 so you multiply 9 by .75 to get the remaining fourth. 9 times .75 is 3 add 3 to 9 to get the whole amount of flour. 3+9= 12. Molly needs 12 cups of flour to make the bread.
Answer:
a) The problem says that this represent the values within 3 deviations from the mean and using the empirical rule we know that on this case we have 68% of the data on this interval.
b) For this case we can use the z score formula again:
For this case we want this probability:
So the approximate percentage of temperatures between 97.89F and 98.73F is 61.3%
Step-by-step explanation:
The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
For this case we know that the body temperatures for a group of heatlhy adults represented with the random variable X follows this distribution:
Part a
For this case we can use the z score formula to measure how many deviations we are within the mean, given by:
If we find the z score for the values given we got:
The problem says that this represent the values within 3 deviations from the mean and using the empirical rule we know that on this case we have 68% of the data on this interval.
Part b
For this case we can use the z score formula again:
For this case we want this probability:
So the approximate percentage of temperatures between 97.89F and 98.73F is 61.3%
Addition
A. X=12
B. S=10
C. Y=34
D. T=12
Subtraction
A. X=8
B. S=2
C. Y=14
D. T=6
You're sitting in your room at home, and you have '3x' on the shelf.
Suddenly, your dog starts barking, then the front doorbell rings, and
you hear a large brown diesel truck driving away.
Hurrying to the door, you find a small package inside the screen door,
addressed to you. You run upstairs with it, hurry to your room, close the
door, and rip the package open.
Inside, there are two smaller boxes, each wrapped in bubble wrap.
You clear the top of your desk, carefully unwrap them, and open
each small box.
-- Inside the first one, you find '7x' .
-- Inside the other one, you find '10' .
You run to your shelf and get the '3x' that have been there for months.
You add them to the '7x' that just arrived. They fit together perfectly,
and now you have '10x'.
You still have the brand new '10' that has just been delivered, but it
doesn't fit together with anything else that you have. It just has to stay
as '10' . Now you have '10x + 10' on your desk.
You put them up on your shelf, wondering what you might be able to
do with them.
A few weeks later, the answer hits you ! Valentine's Day is coming,
and you have exactly what you need to show your ten closest friends
how much you care.
With hands shaking with excitement, and beads of sweat beginning to
gleam on your fore head, you bring ten pieces of tissue and ten strips
of bright ribbon to your desk. Then you go to your shelf and gently
bring the '10x + 10' over to the desk. Now you lock your door and
go to work.
You separate the '10x + 10' into ten equal portions. You carefully
wrap each portion in a wrapping of tissue, and tie each one with with
a bright bow of ribbon.
And there you have ten identical gifts for your ten closest friends.
Each little package contains exactly the same thing inside. When
each of your ten friends unwraps his or her special gift, each one
will find the same identical contents. All ten of those tiny packages
were made out of that '10x + 10' that you kept on your shelf, and
each one holds a small, delicate 'x + 1' there in its tissue.
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.