ANSWE,LET two numbers be A and B then
A+B=52
A-B=14....linear equation in 2 variable
adding 2 eqns
2A=66... dividing both side by 2
A=33
and put A=33 in eqn A+B=52
B=52-33
B=19.
SO. LARGER NUMBER=33
Smaller number=19
solving one step equations
show your work
Answer:
x=4
Step-by-step explanation:
-7x=-28
-7 -7
x=4
Divide both sides by -7. A negative divided by a negative will give you a positive. So the answer would be x=4.
Answer:
x=4
you divide both sides by -7 to get the x by itself. -28 divided by -7 is 4.
Answer:
266
Step-by-step explanation:
Red marbles = 4
Green marbles = 1
Lavender marbles = 1
Yellow marbles = 3
Orange marbles = 2
To pick 5 marbles with at most 1 yellow, we can pick 5 non-yellow marbles or (4 non-yellow marble and 1 yellow marble).
Picking 5 non-yellow marbles
There are 4 + 1 + 1 + 2 = 8 non-yellow marbles.
The number of ways of picking any 5 is
Picking 4 non-yellow marble and 1 yellow marble
The number of ways of picking any 4 non-yellow marbles is
The number of ways of picking any 1 yellow marble from 3 is
Number of ways for both =
Total number of picking 5 marbles with at most 1 yellow
Therefore, total number of ways = 56 + 210 = 266
prove triangle PAB is an equilateral triangle
HELP PLEASEE
Answer:
If three sides of a triangle are equal and the measure of all three angles is equal to 60 degrees then the triangle is an equilateral triangle. Therefore it is an equilateral triangle.
In ∆PAM and ∆PBM
Hence
∆APB is a equilateral triangle
What is the distance between the top of the molehill and the burrow? Show your work.
Answer:
Step-by-step explanation:
The distance is the difference in top and bottom positions:
Answer:
Step-by-step explanation:
Reflection of point (5, -3) across line y = x is symmetrical point:
Correct choice is C
See attached
This is 90° counterclockwise or 270° clockwise rotation
Correct choice is D
Answer:(5,3)
Step-by-step explanation:
Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem'
Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.