Answer:
np>10 and n(1-p)>10
Step-by-step explanation:
Appropriate notation the Large Counts Condition for Normality is The Large Counts Condition for Normality states that is the number of successes and failures which should be above the 10 to be assume normality that is here express as n(p)>10 and n(1-p)>10 This is the notation of the Large Counts Condition for Normality.The Large Counts Condition for Normality: np ≥ 10 and nq ≥ 10.
The Large Counts Condition, also known as the Large Sample Size Condition, is a requirement that must be met to ensure that the sampling distribution of a sample proportion is approximately normal when sampling from a population. This condition is necessary to apply the normal distribution to the sample proportion for various statistical inferences.
Let's denote the following:
- n: The sample size, i.e., the number of observations in the sample.
- p: The population proportion of the characteristic of interest.
- q: The complementary probability to p, such that q = 1 - p.
The Large Counts Condition for Normality states:
np ≥ 10 and nq ≥ 10
In other words, the product of the sample size (n) and the population proportion (p) must be greater than or equal to 10, and the product of the sample size (n) and the complementary probability (q) must also be greater than or equal to 10.
When both of these conditions are satisfied, the sampling distribution of the sample proportion can be approximated by a normal distribution. This approximation is useful for constructing confidence intervals and performing hypothesis tests related to proportions.
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4. Leroy creates customized engraved
birthday cards for his schoolmates.
He charges them $0.75 per card, plus a
dollar for each engraved letter in
the recipient's name. The equation
C=0.75 + l describes the cost of a card
in dollars, c, that has a certain number of
letters in the name, l.
Number of Letters
in Name
Cost of Card
(dollars)
3.75
5.75
6.75
8.75
If you have $10.75 to spend on a card,
how many letters can be in the recipient's
name?
Answer:
10
Step-by-step explanation:
C = 0.75 + L
For L = 3 ; Cost, C = 3.75
3.75 = 0.75 + 3L
3.75 - 0.75 = 3L
3 = 3L
L = 3/3
L = $1
C = 0.75 + 1L
If amount spent is $10.75; C = 10.75
10.75 = 0.75 + L
10.75 - 0.75 = L
10 = L
Number of letters = 10
what is the factored form of 2 (-8x - 3) + 18x?
Answer:
Step-by-step explanation:
2(−8x−3)+18x
2x−6
=2(x−3)
The factored form of the given polynomial is 2(x-3).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The given polynomial is 2(-8x-3)+18x
= -16x-6+18x
= 2x-6
= 2(x-3)
Therefore, the factored form of the given polynomial is 2(x-3).
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Josiah earns $7 an hour for washing cars as a summer job. Complete the table of order pairs to show his total earnings for several hours. Then express the relation as a graph. How much would Josiah earn for 12 hours of washing cars?
n=3, 3 and 4 I are zeros, f(1)=-68
maths very easy class 8
Answer:
Rs. 333
Step-by-step explanation:
Area of the surface of the cuboidal box to be painted = surface area of the cuboidal box - area of the base
✔️Surface area of the cuboidal box = 2(L*W + W*H + L*H)
L = 6 cm
W = 4 cm
H = 2.5 cm
Surface area of the cuboidal box = 2(6*4 + 4*2.5 + 6*2.5) = 2(24 + 10 + 15) = 2(49)
Surface area of cuboidal box = 98 cm²
✔️Area of base = L*W
= 6*4 = 24 cm²
Area of the cuboidal box to be painted = 98 - 24 = 74 cm²
✔️Cost of painting 74 cm² at Rs. 4.50 per cm² = 74 × 4.50 = Rs. 333
2
882 = 2 x 32 x 72
60 = 22 x 3 x 5
(a) Find the highest common factor (HCF) of 882 and 60.
Answer:
6
Step-by-step explanation:
60 = 22 × 3 × 5
882 = 2 x 32 x 72
-----------------------------
HCF = 2 x 3
= 6
please help me
Find the value of x, given that 4(3x+2)=44.
Answer:
X=3
Step-by-step explanation:
=> 4(3x+2)=44
=> 12x+8=44 [Multiply the parentheses by 4]
=> 12x=44 - 8 [Transpose 8 of L.H.S to R.H.S]
=> 12x= 36
=> x= (3)
Hope this helps you.
Mary says that the expression
6 + 8y - 3+ 4y is equivalent to the expression
12y + 3. Is Mary correct?
Answer:
Yes
Step-by-step explanation:
6 + 8y - 3+ 4y
Add like terms
(8y+4y)+(6-3)
12y+3
The clerk at a store worked 45 hours one week.He worked an equal number of hours each day on Monday through Friday.He worked an extra 5 hours on Saturday.How many hours did he work on each weekday
Answer:
he worked 40 hours on the the weekdays
Step-by-step explanation:
Please give me the correct answer.
Answer:
C
Step-by-step explanation:
The lake because its constantly increasing at 3 F per hour and at the beach its only 0.5 F per hour. The lake's temperature moved from 71 to 83 in 4 hours which is 12 F in 4 hours which means 3 F per hour. Hence, the lake's temperature was moving at a faster rate.
The graph of y = f(x) is shown below. Determine the value of x when f(x)
3?
Answer:
this is a hard question
Step-by-step explanation:
i dont know
please helpppppp
Hayden and Jamie completed 20 math problems together. Jamie completed 2 more than twice the number that Hayden completed. Let p represent the number of math problems Hayden completed. Write an equation that can be used to find the number of math problems that Jamie completed.
Answer:
3p + 2 = 20
Step-by-step explanation:
p = number of math problems Hayden completed
Jamie completed 2 more than = +2
twice the number that Hayden completed = x2
So 2p+2 = number of problems Jamie completed
Since they completed a total of 20 questions, the equation would need another +
(Hayden's problems) + (Jamie's problems) = 20
(p) + (2p+2) = 20
This can be simplified to 3p + 2 = 20, and you can then solve for p
Simplify this expression.
–6w + (–8) + 1 + (–7w)
A. –w – 7
B. –13w – 7
C. w + 9
D. 13w + 9
Answer:
-13w-7
Step-by-step explanation:
-6w+(-8)+1+(-7w)
-6w-8+1-7w
-6w-7w-8+1
-13w-8+1
-13w-7
Answer:
B. -13w-7
Step-by-step explanation:
First, let's simplify the problem by grouping the like terms together: (-6w), (-7w), and (-8), (1).
Second, now that you know the like terms solve them each individually:
(-6w) + (-7w) = -13w
(-8) + 1 = -7
So your answer is -13w minus -7
Use the GCF and the Distributive Property to find the sum.
14 +21
Answer:
35
Step-by-step explanation:
14+21=7(2+3)=7(5)=35
Answer:
14+21= 35
Step-by-step explanation:
a^n+a^n+1
RIGHT ANSWER GETS BRAINLIEST
Answer:
a^n+a^(n+1)
a^n(1+a^1)=a^n(1+a)
By looking at the calculation below, write down a multiplication fact using the same numbers.
294÷3=98
Answer:
98 x 3 = 294 or 3 x 98 = 294
Step-by-step explanation:
Since 294 divided by 3 is 98, that means 294 is 3 times 98. So, we can say:
3 x 98 = 294
We can also say that 98 x 3 = 294 since it doesn't matter in which order you multiply.
will give brainliest to right answer
a line is translated. Which of these could be the results
Answer:
D
Step-by-step explanation:
D is the only choice that actually contains a line.
A is a ray.
B is a parabola.
C is a line segment.
Answer:
D...... .............
It is actually 2m/s2
Answer:
what is the question here?
Step-by-step explanation:
If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a
Find the measure of the missing angle.
Answer:
68
Step-by-step explanation:
90 - 22
68
I think it’s 68. Since there is a square that means is a 90° angle. 22-90=68.
68 is your answer.
What is the measure of N
Answer:
No picture sorry
PLZ HELP I GIVE 10 POINTS
Ben's living room is a rectangular measuring 12 yards x 204" by how many feet does the length of the room exceed the with the length of the room exceeds the width by blank feet
Answer:
The length of the room exceeds the width by 19 feet
Step-by-step explanation:
From the question, the room measures 12 yards x 204", that 12 yards x 204 inches. To determine by how many feet the length of the room exceeds the width, we will first convert both units of measurement ( yards and inches) to feet.
To convert 12 yards to feet,
1 yard = 3 feet
∴ 12 yards will be 3 × 12 feet = 36 feet
To convert 204" to feet
12" = 1 foot
∴ 204" will be 204/12 feet = 17 feet
Hence, the room measures 36 feet × 17 feet
That is, Length of the room = 36 feet
and width of the room = 17 feet
Now, to determine by how many feet the length of the room exceeds the width, we will deduct the width of the room from the length of the room, that is,
36 feet - 17 feet = 19 feet
Hence, the length of the room exceeds the width by 19 feet.
32 people in 8 car's unit rate
Answer:
32:8
Step-by-step explanation:
simplified it would be 4:1
80 times 30 plus 60 equals
Answer:
2460
Step-by-step explanation:
Hope this helps :)
Answer:
the awnser is 2460 have a nice day
Step-by-step explanation:
Please help it's due today!!!
Answer:
1. option 3
2. option 1
Step-by-step explanation:
look at the picture ...........
Answer:
The first one is 3 and 31/48
The second one is 25
can someone please help me??
Answer:
the answer is c ...............
Answer:
It could be A or C because they are the same
Step-by-step explanation:
a cereal box says that now it contains 20 more how much cereal comes now
Answer:
20 more than before
Step-by-step explanation:
the graph shows the number of girls and boys that were members of the schools debate during 5 years team
Answer: The number of girls on the debate team increased each year during these 5 years.
Step-by-step explanation:
Which expression is equivalent to 6x+8?
A 2(3x-4)
B 2(3x+4)
C 2(4x+6)
D 2(3x+8)
Answer:
B
Step-by-step explanation:
=> 6x+8
We see that 6 and 8 have following factors:
=> 2.3x+2.4
Taking 2 as common, we get
=> 2(3x+4)
This is equivalent to option B