Answer:
1.-179
2.68
3. 11
4. 25
5. -734
Factor Completely;;;;;
Answer:
2x²-24x+54
2(x²-12x+27)
2(x²-9x-3x+27)
2(x(x-9)-3(x-9))
2(x-9)(x-3)
Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose that you study a simple random sample of 80 professional basketball games and find that 52 of them are won by the home team. Assuming that there is no home court advantage and that the home team therefore wins 50% of its games in the long run, determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Answer:
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The home team therefore wins 50% of its games
This means that [tex]p = 0.5[/tex]
Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Sample of 80 means that [tex]n = 80[/tex] and, by the Central Limit Theorem:
[tex]\mu = p = 0.65[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 0.65. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.65 - 0.5}{0.0559}[/tex]
[tex]Z = 2.68[/tex]
[tex]Z = 2.68[/tex] has a pvalue of 0.9963
1 - 0.9963 = 0.0037
0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games
Which pair of numbers is opposite?
Select all that apply.
|-6| and -6
|-6| and 6
6 and 1/6
6 and -6
0 and 6
Answer:
Step-by-step explanation:
A,b,d,e
7/8 x 1/3
please help me :)
Answer: 7/24
Step-by-step explanation:
Answer:
7/24 or about 0.29
Step-by-step explanation:
when multiplying fractions you first have to remember that:
a/b * c/d = a*c / b*d
If you remember that then its not hard to calculate:
7/8 * 1/3 = 7*1 / 8*3 = 7/24
Hope i could help :D
Dont be afraid to ask questions :)
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
Find the base of a triagnle with a
height of 12 and an area of 192
square units.
Answer:
B(ase) = 32 square units.
Answer:
32
Step-by-step explanation:
Using the formula, a = h(b)/2
192 = 12b/2
good luck, i hope this helps :)
To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students
(b) Exactly one meal in the cafeteria?
students
(c) Only dinner in the cafeteria?
students
(d) Exactly two meals in the cafeteria?
students
Answer:
920 Students
Step-by-step explanation:
Add all of the meals together
Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing
The human heart beats an average of 4,320 times an hour. At this rate, about how many times will a person's heart beat in one full day?
103,680
[tex]4320 \times 24[/tex]
Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall.
Each foam block is a cube with 14 -ft edge length.
How many blocks can fit into the box?
156 blocks
312 blocks
624 blocks
2496 blocks
Answer:
624
Step-by-step explanation:
I hope it helps i did the test btw <3
Answer:
624
Step-by-step explanation:
I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!
please help !!!!!
What is the slope of the line shown in the graph?
A. -3/2
B. -1/2
C. 3/2
Answer:
-3/2
Step-by-step explanation:
Answer:
The slope of the line shown is -3/2.
Step-by-step explanation:
You can find this by using the rise/run method between the two points.
Between the two points, the line falls 3 units down (this is the rise part) and goes 2 units to the right (this is the run part). Since the line falls 3 units down between the two points, this number would be -3, and since it runs to the right by two units, the slope can be identified as -3/2.
find ratio of 120 :80
120 : 80
= 12 : 8
= 6 : 4
= 3 : 2
This is the answer
Answer:
120/10=12
80/10=8
12/4=3
8/4=2
Nothing can further decide, then we have
3:2
what number is 0.001 less than 1,000.1
Answer:
Its Smaller by 100, because 0.001 times 100 = 0.1
Step-by-step explanation:
Answer:
I believe the answer is 1000.099
Step-by-step explanation:
I believe all you need to do is subtract 1,000.1 - 0.001 which equals 1000.099.
which statement is true about the graphed lines
HELP DUE IN 8 MINUTES
find the measures of the interior angles 49 degrees
Answer:
x+49+90=180sum of interior angle of triangle
x=180-139=41 is your answer
piete)
Decide whether the following statement makes sense or does not make sense. Explain your reasoning.
I drove at a speed of 35 miles for the entire trip.
Answer:
It doesn't make sense
Step-by-step explanation:
Given
Statement: .... at a speed of 35 miles .....
Required
Does it make sense?
In motion, speed is measured in km/h, m/s, miles per hour (depending on context) while distance is measured in km, m or miles.
However, the given statement mention the unit of speed to be miles which is incorrect.
Hence, we can conclude that the statement does not make sense.
A correct statement would be: I drove at a speed of 35 miles per hour .......
d.
a.
b.
12
8
Which triangles are similar?
8
3
25
(25
25
25
6
6
16
Ос
od
Оа
O
b
Answer:
C and d
Step-by-step explanation:
C and d are similar triangles. I think that’s what you mean. I just did the test
What percent of 94 is 23?
Answer:
24.5%
Step-by-step explanation:
23/94 = 0.2446
Which graph is a parabola?
THE ANSWER IS SHOWN IN THE PICTURE
Answer:
3rd one :D
Step-by-step explanation:
° • .°• ✯
★ * ° °·
. • ° ★ • ☄
▁▂▃▄▅▆▇▇▆▅▄▃▁▂
Please help ASAP. Thanks so much
Answer:
A. -3,-8
Step-by-step explanation:
That's the answer positive
What is 12x12x14 equal to?
Answer:
The answer is 2016.
Step-by-step explanation:
12 times 12 = 144.
144 times 14 = 2016.
I hope this helps you. Have a nice day.
Answer:
2016
Step-by-step explanation:
Hope thos helpfull to tou
Use the graph f(x)=x^3 to graph h(x)=1/2(x-3)^2-2
find square root of 82369 by division method step by step
Answer:
I think this ans may help you
I need help fast i apperciate
Answer:
Option d is the correct answer.
Step-by-step explanation:
tan A = 24/7
Answer:
d.) [tex]\frac{24}{7}[/tex]
Step-by-step explanation:
using the sohcahtoa method, where tan A = [tex]\frac{opposite}{adjacent}[/tex], our opposite side is 24, and our adjacent side is 7. our hypotenuse, the longest side, is 25. therefore, we get: d.) 24/7
4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve
Answer:
1001/1500
Step-by-step explanation:
The easiest method for doing this is to just average the two numbers.
e.g. to find a number x between the two numbers ab and cd
x=12[ab+cd]
=12[adbd+bcbd]
=ad+bc2bd
In this case…
x=(2×5)+(3×4)2×2×5=10+1230=2230=1115
You can easily see where that came from.
23=1015 and 45=1215
and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11
But you can also say…
23=100150 and 45=120150
and choose any of 101150,102150,...,119150
or
23=10001500 and 45=12001500
and choose any of 10011500,10021500,...,11991500
Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is
12/15 and 2/3 will be 10/15
Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]
Pomóżcie potrzebne jak najszybciej się da proszę
Answer:
can you please write it in english
GHIJK ~ STUVR. What is mZV?
R
G
1020
V
H
1220
K
1020
960
S
1229
126
T
m2 =
o
Submit
Factor completely.
- 3x² + 14x- 8
Answer =
= - 3x² + 14x - 8
= - 3x² + 12x + 2x - 8
= - 3x(x - 4) + 2(x - 4)
= (x - 4)(-3x + 2)
solve for a, 1/3 + a = 5/4
Answer:
[tex]a = \frac{11}{12}[/tex]
Step-by-step explanation:
[tex]a = \frac{5}{4} - \frac{1}{3}[/tex]
[tex]a = \frac{11}{12}[/tex]
Answer:
[tex] \frac{1}{3} + a = \frac{5}{4} [/tex]
[tex]a = \frac{5}{4} - \frac{1}{3} [/tex]
[tex]a = \frac{15 - 4}{12} [/tex]
[tex]a = \frac{11}{12} [/tex]
What is the slope OF THE GRAPH.
Answer:
The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x.
I hope it's helpful!
