Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. What is the probability that you will receive a Merit scholarship
True or False: Similar figures have corresponding sides that are congruent.
Answer:
True
Step-by-step explanation:
Find (7x−11)−(−12x−3).
Answer:
=19x−8 is your answer
Step-by-step explanation:
=7x−11+−1(−12x−3)
=7x+−11+−1(−12x)+(−1)(−3)
=7x+−11+12x+3
Combine Like Terms:
=7x+−11+12x+3
=(7x+12x)+(−11+3)
=19x+−8
Answer:
19x-8
Step-by-step explanation:
7x plus -12x is 19x. you then subtract 11 from 3 and you get 8
The Coffee Shop around the Corner (CS) is famous for its fresh-made muffins. Hank, the owner of CS, knows that the demand for muffins depends very much on the timeof the day: The demand is high in the morning, decreases in the afternoon hours, and is atits lowest in the evening. Hank is having trouble deciding how many muffins to make foreach period of the day. He asked you to help him forecast the demand. If you do a goodjob in forecasting the demand for tomorrow, Hank will pay you to do this job on a recurringbasis. The following is the demand data Hank collected in the past three days:
Day 1 2 3
Period Morning Afternoon Evening Morning Afternoon Evening Morning Afternoon
Evening
37 25 9 48 28 14 53 33
17
Answer:
The responses to the given question can be defined as follows:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Day \ \ \ \ \ \ \ \ \ \ Period \ \ \ \ \ \ \ \ \ \ Demand \ \ \ \ \ \ \ \ \ \ 5-period moving average[/tex]
[tex]1 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ 37 \\\\[/tex]
[tex]Afternoon \ \ \ \ \ \ \ \ \ \ \ 25 \\\\ Evening \ \ \ \ \ \ \ \ \ \ \ 9[/tex]
[tex]2 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \48 \\\\[/tex]
[tex]Afternoon\ \ \ \ \ \ \ \ \ \ \ 28 \\\\[/tex]
[tex]Evening \ \ \ \ \ \ \ \ \ \ \ 14 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29.4 \\\\[/tex]
[tex]3 \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ 53 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 24.8\\\\[/tex]
[tex]Afternoon \ \ \ \ \ \ \ \ \ \ \ 33 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 30.4\\\\Evening \ \ \ \ \ \ \ \ \ \ \ 17 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 35.2\\\\[/tex]
[tex]4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Morning \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29\\\\[/tex]
[tex]Afternoon\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 29.25\\\\Evening \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 34.33333\\\\[/tex]
number 5 pls pls pls i need it nowww
Answer:
4.583
Step-by-step explanation:
[tex]\frac{6+8+15+18+18+21+24}{24} \\=110/24\\=4.583[/tex]
What are Dwarf planets in the kuiper belt called?
Answer:
pluto, rhea, theres more but theres a lot but we call them planetoids
Step-by-step explanation:
Answe:
Haumea, Pluto, and Makemake
Step-by-step explanation:
i think
You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red
marbles.
What is P(draw a blue marble)?
In ΔRST, r = 3 cm, s = 8.6 cm and ∠T=105°. Find the length of t, to the nearest 10th of a centimeter.
Answer:9.8
Step-by-step explanation:
I give up on deltamath
Do Question 2 please
Answer:
AC = 29.96cm
Step-by-step explanation:
The sum of the angles inside a triangle is equal to 180 degrees. We are told that angle a is 57°, and that angle B is 73°. This tells us that angle C is (180 - 57 - 73)°, or 50°.
We are also given the length of side AB 24cm, with that we can use the sine rule to calculate the length of side AC:
sin (B) / |AC| = sin (C) / |AB|
sine (73°) / |AC| = sin(50°) / 24cm
AC = 24 cm • sin(73°) / sin(50°)
AC = 29.96 cm
What’s 34 divided 475 remainder:
Answer:
it is 0.07157894737 I am sure
The sum of two numbers is 40 and their difference is 20. Find the two numbers.
Answer:
20
Step-by-step explanation:
if you add 20 to 20 you get a sum of 40
if you subtract 20 from 40 you get a difference of 40
Answer:
30 & 10
Step-by-step explanation:
Let be two numbers be A and B
A+B=40
A−B=20
Add two equations
We get
A+B+A−B=40+20
2A=60
A=30
as we know A put this in one of the equation
30+B=40
B=10
A=30 and B=10
PLEASE
HELLPOP ITS EASY
What is -120 4/7 + 25 3/7
Answer:
420^69
Step-by-step explanation:
Blazen it
Answer:
-95.1428571429
Step-by-step explanation:
Help me please (20 points) (2 questions) PLEASE (picture below)
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 40 business days, the mean closing price of a certain stock was $108.50 . Assume the population standard deviation is$11.36 . The 90% confidence interval is (nothing ,nothing ).(Round to two decimal places as needed.) The 95% confidence interval is (nothing ,nothing ). (Round to two decimal places as needed.) Which interval is wider? Choose the correct answer below. The 95% confidence interval The 90% confidence interval Interpret the results. A. You can be 90% confident that the population mean price of the stock is outside the bounds of the90% confidence interval, and 95% confident for the 95% interval. B. You can be certain that the population mean price of the stock is either between the lower bounds of the 90% and 95% confidence intervals or the upper bounds of the 90% and 95% confidence intervals. C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidenceinterval, and 95% confident for the 95% interval. D. You can be certain that the closing price of the stock was within the 90% confidence interval for approximately 36 of the 40 days, and was within the 95% confidence interval for approximately 38 of the 40 days.
Answer:
The 90% confidence interval is ($105.55,$111.45)
The 95% confidence interval is ($104.98,$112.02)
The 95% confidence interval is wider.
C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidenceinterval, and 95% confident for the 95% interval.
Step-by-step explanation:
90% confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{11.36}{\sqrt{40}} = 2.95[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 2.95 = $105.55
The upper end of the interval is the sample mean added to M. So it is 108.50 + 2.95 = $111.45
The 90% confidence interval is ($105.55,$111.45)
95% confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{11.36}{\sqrt{40}} = 3.52[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 108.50 - 3.52 = $104.98
The upper end of the interval is the sample mean added to M. So it is 108.50 + 3.52 = $112.02
The 95% confidence interval is ($104.98,$112.02)
Which interval is wider?
The 95% confidence interval has a larger margin of error, so it is wider.
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
So the correct interpretation is:
C. You can be 90% confident that the population mean price of the stock is between the bounds of the 90% confidenceinterval, and 95% confident for the 95% interval.
A coffee pot had 1
1/2 pints of coffee.
After a mug was
filled, there were 1
pint left in the pot.
How many ounces of
coffee were in the
mug?
Answer:
8 ounces
Step-by-step explanation:
Since there was 1 pint left, that means the mug had 1/2 pints of coffee.
Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2
16(1/2)
= 8
So, there were 8 ounces of coffee in the mug
93 divided by 20 .................................................
Answer:
4.65
Step-by-step explanation:
A pound of coffee beans yields 50 cups of coffee. How many mL of coffee can be obtained from 10.0 g of coffee beans? (1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)
Answer:
260.55682 mL
Step-by-step explanation:
Given :
(1 lb =454 g, 1 L= 1.0567 qt, 4 cups=1 qt, 1 L=1000 mL)
1 pounds of coffee beans = 50 cups of coffee
Number of mL of coffee that can be obtainwd from 10 g of coffee beans
1 pound = 454g
10 * 50 cups = 500 cups / 454 = 1.1013215 cups
1.1013215 / 4 = 0.2753303 qt
0.2753303 qt / 1.0567 qt = 0.2605568 L
0.2605568 L * 1000 = 260.55682 mL
Which of the following statements is true for a point in the first quadrant of the coordinate plane?
Answer:
The point will have both a positive x value and a positive y value.
Step-by-step explanation:
Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.
Tell whether the equation has one, no solution, or infinitely many solutions (x-5)+28=6x-1
Answer:
one solution
x= 4.8
Find the measure of angle 1
A. 90
B. 110
C. 180
Answer:
90°
Step-by-step explanation:
what is 303 x 303 x 23 x 456 - 797
Answer:
962891995
Step-by-step explanation:
Answer:
962,892,713
Step-by-step explanation:
1. 303 x 303 x 23 x 456 - 7
2. 91809 x 23 x 456 -79
3. 2111607 x 456 - 79
4. 962892792 - 79
5. 962,892,713
Hope that helps
What is the equation of a vertical line that passes through the point (8, -1)?
Answer:
x=8
Step-by-step explanation:
EASY TRUE OR FALSE QUESTION
Answer:
Its false
Step-by-step explanation:
It cant increase
Answer:
it issss false
Find the length of segment LM.
Answer:
5 I think l to n is 10,so it will be half of it
9(1 + w) – 5w = 5
W=
Answer:
w= -1
Step-by-step explanation:
Use PEMDAS to solve.
9(1 + w) - 5w = 5
distribute 9 to everything inside the parentheses.
9 x 1 = 9
9 x w = 9w
rewrite equation
9 + 9w - 5w = 5
combine like terms
9w - 5w = 4w
rewrite equation
9 + 4w = 5
subtract 9 from both sides
9 - 9 = 0
5 - 9 = -4
rewrite equation
4w = -4
divide by 4 on both sides to get w by itself.
4w / 4 = w
-4 / 4 = -1
Hope This Helps :)
Intr-o clasa sunt 28 de elevi.Stiind ca 21 joaca fotbal si 15 elevi handbal,sa se determine cati elevi joaca si fotbal si handbal.
Choose the angle that is supplementary to angle 2. (it's not angle 3 btw)
Answer:
Angle 1
Step-by-step explanation:
Supplementary = Two angles that has a sum of 180 degrees
Angle 1 + Angle 2 = 180 degrees
Write an equation for the nth term of the arithmetic sequence. Then find a 30
-9, -6, - 3,0, ...
Answer:
The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]
The 30th term is 78.
Step-by-step explanation:
Arithmetic sequence:
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference between terms.
-9, -6, - 3,0
This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So
[tex]a_n = -9 + 3(n-1)[/tex]
30th term:
[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]
The 30th term is 78.
write the ratio in simplest form 15:45