Complete options are;
a. The approximation requires np > 10 and n(1 - p) > 10.
b. The sample size here is too small to use the Normal approximation to the binomial.
c. The approximation requires np > 30.
d. The Normal approximation works better if the success probability p is close to p = 0.5.
Answer:
Option C is false
Step-by-step explanation:
Looking at the options,
In normal approximation to the binomial,
n is the sample size,
p is the given probability.
q = 1 - p
Now, one of the conditions for using normal approximation to the binomial is that; np and nq or n(1 - p) must be greater than 10.
This means that option A is true because we require np or n(1 - p) to be greater than 10.
From Central limit theorem, the sample size needs to be more than 30 for us to use normal approximation. Our sample is 10. Thus, option B is true.
The approximation doesn't require np > 30. Rather it's the sample size that needs to be more than 30. Thus, option C is false.
Generally, when the value of p in a binomial is close to 0.5, the normal approximations will work better than when the value of p is closer to either 0 or 1. The reason is that: for p = 0.5, the binomial distribution will be symmetrical. Thus, option D is correct.
Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
Answer:
D. 96 miles
Step-by-step explanation:
So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).
This adds up to 48 miles.
Then, we go back to City Hall, through the High School, which is 27 miles (15+12)
Then, we go to the Elementary School from City Hall, which is 21 miles.
Add up all the miles and you get:
48 + 27 +21 = 96
The initial population of a town is 4,100, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Which option is equivalent to the expression above
How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?
Answer:
[tex]15-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]
What is the ratio of 6 to 26 expressed as a fraction in the simplest form
Answer:
3/13
Just divide and u will get the answer
Answer:
3 : 13
Step-by-step explanation:
Given the ratio
6 : 26 ( divide both parts by 2 )
= 3 : 13 ← in simplest form
What compass heading represents 20° north of east?
Answer:
45°
Step-by-step explanation:
Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.
i’ll mark brainlest to whoever answers this question first! :)
Answer:
y=-3/4+1
Step-by-step explanation:
Goes three down, 4 right and intersects at 1 on y axis
Answer:
The answer is: y= -3/4x+1
If it's wrong than I'm sorry
- 2p + 8 = 6 - (7p + 7)
Answer:
p=1
Step-by-step explanation:
first you need to get rid of the parenthesis
-2p+8=6-7p+7
then combine everything you can on their respective sides
-2p+8=13-7p
then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer
-2p+8=13-7p
+7p +7p
5p+8=13
or
-2p+8=13-7p
+2p +2p
8=13-5p
then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation
first way shown above:
5p+8=13
-8 -8
5p=5
divide them both by 5 and p=1
or the other way shown above
8=13-5p
-13 -13
-5=-5p
divide both sides by -5 and then p=1
Need help really please
Answer:
its below
Step-by-step explanation:
Part A: 52.29
Part B: the top box is 52.29, the longer box under is 34. 80 and the smaller one is 17.49
Solve for c.
ab + c = 5
c = 5/ab
c = 5 - ab
c = 5 + ab
6th grade math I mark as brainliest
Answer: 21 units
Step-by-step explanation: Since the y-coordinates are the same, you need to find only the difference in the x-values.
Since one is positive and one is negative, (on different sides of the y-axis) you add the distances of each coordinate from there.
Or, remember that finding the difference between two numbers is a subtraction equation, and subtracting a negative is the same as adding a positive.
15 -(-6) = x
15 + 6 = x
21 = x
Use the properties of the parallelogram drawn to find m
Answer:
photo not clear
Step-by-step explanation:
try re-upload the question
X+17>36 how would I solve this
Answer:
x > 19
Step-by-step explanation:
Hey there!
To solve this equation, you would solve it like any other equation.
Imagine that the inequality sign isn't there, and it's replaced with an equal sign. (I'm still going to use >, I just want you to pretend)
Solve:
x + 17 > 36Subtract 17 from both sides
x > 36 - 17x > 19That's it! there's your solution!
Remember this rule:
When dividing or multiplying by a negative number, flip the sign (from < to >, or from ≤ to ≥)HELPPP ASAP PLS
Identify the relationship between the two angles below. Select ALL that
apply.
Congruent Angles
Vertical Angles
Linear Pair Angles
Adjacent Angles
Supplementary Angles
Complementary Angles
Answer:
adjacent, linear pair, supplementary
Step-by-step explanation:
adacent because they are angles side by side
linear because the angles create a straight line
supplementary because the angles equal 180 degrees
A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?
Answer:
30m/sec
Step-by-step explanation:
v=s/t
given s= 10m
t=1/3 sec
v= 10/(1/3)=10×3/1= 30 m/s
Answer:
10 meters per 1/3 second equals
30 meters per second and multiplying this by 60 makes it
900 meters per minute or .9 kilometers per minute
multiplying this by 60 makes it
54 kilometers per hour
Step-by-step explanation:
I need help plz help :(
Answer:
what
Step-by-step explanation:
tux really be chewing on da hair tho no cap
you start at (2, 4). You move down 4 units and up 4 units. Where do you end?
Answer:
(2, 4)
Step-by-step explanation:
the same spot because 2 - 4 = -2, and the back up -2 + 4 = 2. we do not move left or right so there is no need to change the y value of 4
Answer:
(2, 4)
Step-by-step explanation:
We are given the points (2, 4) and we are told to move down four units, and then up 4 units. Since it's up and down not left and right it's telling us that we are moving the point on the y axis, which is the four, now all we have to do is subtract four units, and then add four more units on the y axis.
4 - 4 + 4 = 4
Leaving the points unchanged, your answer is "(2, 4)."
Hope this helps.
2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!
Answer:
24
Step-by-step explanation:
1.7x - 1.2x = 5 + 7
0.5x = 12
x = 24
3 x
Abigail keeps track of the number of pages she reads. Last year, she read 5,473 pages. The year before,
she read 2,379 pages. Select all of the choices that are good estimates by rounding to place values for the
total pages Abigail read over the two years.
A. 7,000
B. 7,500
C. 7.850
D. 7.900
E. 8,000
Answer:
A, C, and E I think
Step-by-step explanation:
You take music lessons that cost $45 a month plus an additional amount for lessons during the month. If you spent $325 in music lessons in one month, how much did you spend on lessons? Select the equation and the solution (2 answer choices).
Group of answer choices
45 + n = 325
45n = 325
$280
$7.22
Answer:
45 + n = 325
n = $280
Step-by-step explanation:
total cost = monthly cost plus the cost of lessons
total cost = $325
monthly cost = $45
number of lessons = 'n'
45 + n = 325
n = 280
The sum of more than two consecutive whole numbers is always an odd number ? Give examples
I need help on this!
Answer:
A correctly shows the location of all the given values.
Step-by-step explanation:
The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.
Hope this helps~!
Answer:
A
Step-by-step explanation:
A) -4, -2 3/4, 1/2 , 1 1/4
B) -4, -2 1/4, 1/2 , 1 1/4
C) -4, -1 1/4, 1/2, 2 1/4
D) -4, -1/2, 1/2, 2 3/4
If Susie finished her lunch at 1 PM and it took her 45 minutes to eat what time did she start eating lunch
12:15
Step-by-step explanation: 45+15=60
There a 60 minutes in an hour
I hope that helped
find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC
Answer:
ABCD = 9cm²
BCD =7.5cm²
perimeter of abcd = 25.8cm
7W FEW DOWO
Puzzle Three
Solve the following problems about functions. Match the correct
solution in the code at the bottom to find the code word to
unlock puzzle two.
E. Determine if the
P. Write the equation for
following graph is linear or non the following function:
F. Determine if the
R. Write the equation for
following graph is linear or non- the following function:
linear
L. Write an equation that
shows the slope is 3 and the y
intercept is -2.
U. Find the rate of change
between the two ordered pairs
(3,6) and (5,7)
What is the slope of
0. Find the rate of change W.
between the two ordered pairs the line
(1,4) and (-3,-2)
Code:
4y = 8x + 1
linear
2
y = 3x - 2
y=-3x + 1
y = 5x +4 non
31
1
2
linear
Answer:
The crossword style worksheet has problems that provide a simplified answer for the puzzle. See more ideas about high school math, middle school math, ...LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN= 4x + 3 and MP = 8x -9
X=
Solution:
We know that:
Given diagonals: LN and MPLN and MP must be equal because they are diagonals of LMNP.LN = 4x + 3MP = 8x - 9Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9
Let's simplify the equation to find x.
Subtracting 4x both sides.
[tex]4x + 3 = 8x - 9[/tex]=> [tex]4x - 4x + 3 = 8x - 9 - 4x[/tex]=> [tex]3 = 4x - 9[/tex]Add 9 both sides.
=> [tex]3 = 4x - 9[/tex]=> [tex]3 + 9 = 4x - 9 + 9[/tex]=> [tex]12 = 4x[/tex]Divide 4 both sides.
=> [tex]12 = 4x[/tex]=> [tex]\frac{12}{4} = \frac{4x}{4}[/tex]=> [tex]x = 3[/tex]Now, let's find the length of each diagonal.
[tex]LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units[/tex][tex]MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units[/tex]Diagonals are equal
[tex]\\ \rm\Rrightarrow 4x+3=8x-9[/tex]
[tex]\\ \rm\Rrightarrow -4x=-12[/tex]
[tex]\\ \rm\Rrightarrow x=-12/-4[/tex]
[tex]\\ \rm\Rrightarrow x=3[/tex]
Temperature
(°F)
Chicago
-6
Orlando
71
Montreal
-18
Springfield
36
Fairbanks
-32
By noon, the temperature in Fairbanks had risen by 21 °F.
What was the temperature there at noon?
1 OF
(b)
How much higher was the 6 a.m. temperature in Orlando than in Chicago?
°F higher
Answer:
Fairbanks had a temperature of 11 degrees Fahrenheit at noon.
The 6 am temperature in Orlando was 77 degrees higher than in Chicago.
Step-by-step explanation:
The essential difference between an experiment and an observational study is that:
a. Observational studies may have confounded variables, but experiments never do.
b. In an experiment, people must give their informed consent before being allowed to participate.
c. Observational studies are always biased.
d. Observational studies cannot have response variables.
e. An experiment imposes treatments on the subjects, but an observational study does not.
Answer: e. An experiment imposes treatments on the subjects, but an observational study does not.
Step-by-step explanation:
Experiment is scientific procedure that is undertaken by an individual or a researcher in order for the person to either make a discovery, or test a hypothesis.
Observational studies are the studies whereby the researchers just observe the impact of a treatment or risk factor e.g. cohort studies. In observational study, the researchers just collect data based on what they've either heard or seen and they've no control over such variables collected whole for an experiment, treatments are applied to a group and the effects are recorded.
the talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
Answer:
Students = 380
Adults = 150
Step-by-step explanation:
3x + 4y = 1740
and a total tickets equation of: x + y = 530
(8x-20) (5x+37) apply angle theorem find x