Answer:
The measure of JK is 60
Step-by-step explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third si
Answer:
(1/2)s = 345
s = 690 (Maggie's savings balance)
Step-by-step explanation:
For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for
- what you're being asked to find (what is the question to answer)
- the information you're given that is relevant to the question asked.
Here, you're asked to find a savings account balance. You're told that $345 is half that amount.
__
After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.
A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)
The problem statement tells us that half the savings account amount is $345, so our equation is ...
(1/2)s = 345
__
The "one step" required to solve this so to multiply both sides of the equation by 2.
s = 690
Maggie had $690 in her savings account before she bought the computer.
Answer:
D: Each distribution has a different mean and a different standard deviation.
Step-by-step explanation:
Answer:
positive
Step-by-step explanation:
Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.
ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.
A: all
S: sin
T: tan
C: cos
It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.
Answer:
Step-by-step explanation:
Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = amount spent by the Canadian households.
u = mean amount spent monthly.
s = standard deviation
From the information given,
u = $80.63 CDN
s = $27.32 CDN
We want to find the probability that the average amount will exceed $85. It is expressed as
P(x greater than 85) = 1 - P(x lesser than or equal to 85)
For x = 85
z = (85 - 80)/27.32 = 0.18
Looking at the normal distribution table, the corresponding z score is 0.57142
P(x greater than 85) = 1 - 0.57142 = 0.43
