Answer:
1. Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.
2. Approximately normal.
3. 0.35
4. 0.0389
Step-by-step explanation:
Central Limit Theorem:
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], as long as [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes.
This means that [tex]n = 150[/tex].
35% of all students actually prefer to take classes online
This means that [tex]p = 0.35[/tex]
1. Discuss the conditions necessary to use the normal curve to model this sampling distribution and explain whether or not they are met.
The conditions necessary are [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].
We have that
[tex]np = 150*0.35 = 52.5 \geq 10[/tex]
[tex]n(1-p) = 150*0.65 = 97.5 \geq 10[/tex]
Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.
2. If the normal model is appropriate for this distribution, what shape would you expect it to have?
By the Central Limit Theorem, approximately normal.
3. If you were to use the normal model for this p-hat sampling distribution, what value would be at the center of your sampling distribution? In other words, what value would all of those sample proportions center around?
The mean, which by the Central Limit Theorem, is [tex]\mu = 0.35[/tex].
4. What would be the standard deviation of this sampling distribution?
By the Central Limit Theorem,
[tex]s = \sqrt{\frac{0.35*0.65}{150}} = 0.0389[/tex]
Answer the first one plz
Answer:
65 is the answer okkkkkk
Best of luck
Proportional Relationships & Percentages:Question 1
A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?
Select one:
Answer:
(-2) + (3-7)
(-1) * (-2)
EVALUATE THE EXPRESSION
Step-by-step explanation:
THAT IS a question. i need help pls
A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?
Answer:
90x3
Step-by-step explanation:
the rule for the distributive property is
Step-by-step explanation:
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.
Camilla walked 456 feet in the forest. How many yards did Camilla walk?
Answer:
152 yards
Step-by-step explanation:
456 divided by 3 equals 152
Answer:
456 feet equal 152 yards
Step-by-step explanation:
Solve using the Arrow way
440+220=
670+_____=890
___+756=945
Answer:
440 + 220 = 660
670 + 220 = 890
189 + 756 = 945
Step-by-step explanation:
Margaret earned a scored of 38/40 on her test. What is the decimal expansion of the score she received
Answer:
0.95
Step-by-step explanation:
38/40=0.95
Whats 9000 times 20 to the 18th power?
Answer:
2.359296x10^27
Step-by-step explanation:
Answer:
sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000
Step-by-step explanation:
hurry I'm timed I need the answer asap [tex]2000x9000[/tex]
Answer:
18000000
Step-by-step explanation:
2000 x 9000 = 18000000
9 x 2 = 18
there are 3 0's on the 2 and 3 0's on the 9 so we are going to add them together.
000 + 000 = 000000
put the two answer together and they equal...
18000000
Step-by-step explanation:
2000x9000=18000000is. your answer
Are 5x²y and 5y^2x LIKE TERMS or NOT LIKE TERMS?
Write 0.076943 to 3 S.f
Answer:
0.0769
Step-by-step explanation:
A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
Find the product of 3/5x15
What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6
Which multiplication problem does the model represent?
Answer:
2/3 * 1/3 = 2/9
Step-by-step explanation:
You see the top 2 lines being shaded which is 2/3's of the whole square.
The second shaded part only covers 1/3 of the whole square.
Thus, you multiply both parts to figure out the darkest shaded part!
need help plssssssssssssssssssssssssssssssss
Answer:
29
Step-by-step explanation:
PEMDAS
PARENTHESIS: [3-10]=7
EXPONENTS: 3^3= 27
MULTIPLICATION:8×7=56
DIVISION:NONE
ADDITION:NONE
SUBTRACTING: 56-27=29
ANSWER: 29
write the slope-intercept form of the equation of the line that passes through the point (-4,-1) and is parallel to the line y=3/4x-1
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y= mx + b
Slope = m & b = y-intercept
y = 3/4 x - 1
m = 3/4 ; (-4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]
Genevieve deposited $400 into her bank account. The equation A open parentheses t close parentheses equal 400 open parentheses 1.07 close parentheses to the power of t can be used to calculate the value of her money after t years. What is the annual interest rate she is earning on her deposit?
Answer:
7%
Step-by-step explanation: i took the test and got it right
Given m ||n, find the value of x.
+
(x+18)
(5x-6)°
Answer:
x = 28
Step-by-step explanation:
(x + 18)° + (5x - 6)° = 180° (supplementary angles)
Solve for x
x + 18 + 5x - 6 = 180
Add like terms
6x + 12 = 180
6x = 180 - 12 (subtraction property of equality)
6x = 168
x = 168/6 (division property of equality)
x = 28
After a 10% decrease the cost of a new cooker is £ 198
Work out the original price of the cooker.
Answer:
£217.80
Step-by-step explanation:
198 increase 10% =
198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8
Use the area model to write a fraction equivalent to
1/5
*HELP QUICK BEST FIRST PERSON WILL BE NAMED BRANLIEST*
Each cube inside the rectangular prism has an edge length of inch. What is the volume of
the rectangular prism?
256 in.
81 in
3 in
9 in.
Answer:
Step-by-step explanation:
length = 6 x 1/3 = 2 inches
width = 4 x 1/3 = 4/3 inches
height = 8 x 1/3 = 8/3 inches
volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches
Another approach is the following:
There are 6 x 4 x 8 = 192 cubes inside the prism,
Each cube has a volume of 1/27 cubic inches.
Therefore total volume = 192 x 1/27 = 192/27 = 9
Find the area of each.
11)
14 in
Help plz
Answer:
The area would be 153.86
Step-by-step explanation:
Since the diameter is 14, the radius would be 7.
The area is pi times the radius squared.
7 squared is 49.
If your using 3.14 for pi, then its 3.14 times 49.
That gives you 153.86.
5 kilometers in numbers
Answer:
5km or 5,000m
Step-by-step explanation:
which is greater 1/4 or 3/4 ?
Answer:
3/4
Step-by-step explanation:
We have two fractions, 1/4 and 3/4. Lucky they have the same denominator :
Which is the number under the line, which means their capacity is the same amount. Now we just have to see the greater numerator (the number above the line).
So since 3 is greater than 1
Therefore 3/4 is the answer
Answer:
You answer would be 3/4
Step-by-step explanation:
3/4 is larger than 1/4.
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions?Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624
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.
PLZ HELP FASt
flvyofgoyv7
Answer:
It's a function, none.
good luck, i hope this helps :)
what is this ???????????
Answer:
The heavier an object the harder it is to move.
Step-by-step explanation:
I'm pretty sure this is it
Answer:
C. Gravity and Friction combine to make a train hard to move.
Step-by-step explanation:
This option makes the most sense based off of the text. In the text it says "Since gravity and friction make trains harder to move...." None of the other options really match the text either.
Hope it helps!
PLEASE HELP ME ASAP I WILL GIVE YOU BRAINLEST. PLEASE PLEASE I BEG OF YOU
Answer:
Hiii, I really did try my best, hopefully this helps :)
Step-by-step explanation:
1st: 37.5 units
2nd: 34.5 units
3rd: 24 + 9.125 π units
4th: 42 units
5th: 49.5 units