Using the normal approximation to the binomial, it is found that there is a 0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
35% market share, hence [tex]p = 0.35[/tex].300 residents are surveyed, hence [tex]n = 300[/tex].The mean and the standard deviation are given by:
[tex]\mu = np = 300(0.35) = 105[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.35)(0.65)} = 8.26[/tex]
Using continuity correction, the probability that at most 80 of these people will choose the creamery's brand is [tex]P(X \leq 80 + 0.5) = P(X \leq 80.5)[/tex], which is the p-value of Z when X = 80.5, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80.5 - 105}{8.26}[/tex]
[tex]Z = -2.97[/tex]
[tex]Z = -2.97[/tex] has a p-value of 0.0015.
0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.
A similar problem is given at https://brainly.com/question/25298431
consider the following simplified algebraic expression 10x²y+6x²-7y²-6 which could be the original expression
Answer:
You technically can't do anything with it since it the algebraic expression doesn't factor.
Step-by-step explanation:
alguien me ayuda????
What do you need help with?
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest
Big bag don't mean everything wavy
I got 99 problems like Jay Z
Caught a felony judge tried to slave me
Lost my grandmother R.I.P Mavy
I got money and move shady
I need help can someone help?
Step-by-step explanation:
Using Pythagoras theorem,
Let the ratio of the sides be x
B²=H²-P²
B²= (25x)²-(21x)²
B²=625x²-441x²
B²=184x²
B=13.56x.
hope this helps you.
Answer:
Your answer is [tex]\sqrt{184}[/tex] or 13.5646599663...
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2} \\A^{2} +21^{2} = 25^{2} \\A^{2} = 25^{2} - 21^{2} \\A^{2} = 625-441\\A^{2} = 184\\A = \sqrt{184}[/tex]
Hope this helps!
If the f(x)=2x-1 and g(x)=x^2-1 find what the g(f(a-1)) is
Answer:
GOOD LUCK ON YOUR TEST YOU WILL DO GOOD
Step-by-step explanation:
The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|
Answer:
Step-by-step explanation:
The measure of angle TVU is 74 degrees.
What is alternate interior angles?The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point.
According to the given question.
m ∠STV = 108 degrees
And,
m ∠RST = 74 degrees
Since, ∠RTS and ∠STV are linear pair of angles.
Therefore,
m ∠RTS + m ∠STV = 180
⇒ m ∠RTS + 108 = 180
⇒ m ∠RTS = 180 - 108
⇒ m ∠RTS = 72 degrees
Now, in ΔRTS we have
m ∠RTS + m ∠TSR + m ∠SRT = 180 (sum of the angles of a triangle is 180 degrees)
⇒ 72 + 74 + m ∠SRT = 180
⇒ m ∠SRT = 180 -146
⇒ m ∠SRT = 34 degrees
Here, ∠SRT and ∠TVU are alternate interior angles.
Therefore,
m ∠SRT = m ∠TVU
⇒ m ∠TVU = 74 degrees.
Hence, the measure of angle TVU is 74 degrees.
Find out more information about alternate interior angles and linear pair of angles here:
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#SPJ2
the net force on a
rock with a mass of 20 kg is
19.6 N. What is the accelera-
tion of the rock?
I need answer immediately!!!!!!
Its division and fractions i advise calulater soup
solve 4(2x-5)=5x+4 pls
Answer:
x=8
Step-by-step explanation:
4(2x-5)=5x+4
Distribute
8x -20 = 5x+4
Subtract 5x from each side
8x -20 -5x = 5x+4-5x
3x-20 = 4
Add 20 to each side
3x-20+20 = 4+20
3x = 24
Divide by 3
3x/3 =24/3
x=8
The set of ordered pairs below represents a relation that is a function.
Which point, when added to the set, would form a relation that is not a function?
A
(0,6)(0,6)(0,6)
B
(4,2)(4,2)(4,2)
C
(−6,8)(-6,8)(−6,8)
D
(−8,10)(-8,10)(−8,10)
Answer:
I'm confused by the points:
Why three points for each (A, B, C, and D)?: A: (0,6)(0,6)(0,6), etc.
Points A and B [(0,6) and (4,2)] are consistant with a straight line of the form y=-x+6.
Points C and D [(-6,8),(-8,10)]are on the line y=-x+2.
A and B aren't related to C and D.
Step-by-step explanation:
what is the answer to this
Answer:
x = 144
Step-by-step explanation:
x/2= 84-12 = 72
x = 72 x 2 = 144
pls mark as brainliest
what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?
Answer:
X = 2
Step-by-step explanation:
Please solve with explanation
Answer:
Hope it helps you.......
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
Answer:
(64.7, 67.9)
Step-by-step explanation:
(66.3-2*08, 66.3+2*0.8)
(66.3-1.6, 66.3+1.6)
(64.7, 67.9)
Solve for x.
2x/3 +1=3
O x =6
O x =3
O x = 1 1/3
O x = 2 2/3
Answer:
3......................
Answer:
X=3!
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 1 from both sides.
Step 3: Multiply both sides by 3/2.
Answer:
x=3
Please help me solve this
Answer:
-2
Step-by-step explanation:
y+z-2y
First substitue y and z for 4 and 2.
4+2-2(4)
Then using PEMDAS, multiply.
4+2-8
Then solve normally.
-2
A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?
Answer:
50
Step-by-step explanation:
5 pages * 10 copies = 50 pages
Plz help!!!
henrik is shopping at a store. The store is having a sale on all items henrik also has a coupon for an additional amount off the sale price.
The expression 0.7p-15 represents the final price, In dollars, of items with a regular price of p dollars. Complete the table by filling in the value of the coupon and the percent discount of the store's sale
The amount of the coupon is $30 which gives a discount of 60%.
Regular price of item = p
Final price paid by the buyer = 0.7p - 15
Discount = Regular price - Price paid by the buyer
Discount = p - (0.7p - 15)
Discount = p - 0.7p - 15.
p - 0.7p = 15
0.3p = 15.
Price = 15/0.3
Price = $50
Therefore, the amount paid by the person will be:
= 0.7p - 15
= 0.7(50) - 15
= 35 - 15
= 20
Therefore, the discount will be:
= 50 - 20 = 30
Discount percentage = 30/50 × 100 = 60%
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https://brainly.com/question/25071337
what is 8 divided by 9/10
7 divided by 5/8
8 divided by 1/2
9 divided by 2/3
8 divided by 5/8
8 divided by 1/4
1 divided by 5/10
8 divided by 1/3
Answer:
8 divided by 9/10
= 8.8888... = 8 8/9
7 divided by 5/8
= 11.2 = 11 1/5
8 divided by 1/2
= 16
9 divided by 2/3
= 13.5 = 13 1/2
8 divided by 5/8
= 12.8 = 12 4/5
8 divided by 1/4
= 32
1 divided by 5/10
= 2
8 divided by 1/3
= 24
Step-by-step explanation:
(8x4)+3. What is the answer
6
Answer:
Step-by-step explanation:
Remember PEMDAS
multiply 4 and 8
32+3
add 32 and 3
35
Answer:
35
Step-by-step explanation:
Follow the steps PEMDAS
8 x 4 = 32
32 + 3 =35
35
Someone plz help me :(
Answer:
c
Step-by-step explanation:
you want to take your total amount of points and divide it by the number of games
JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)
Answer:
(8, - 10) or (0, 6)Step-by-step explanation:
There are two options as below.
1. JL/JK = 5 : 1
Find the coordinates of L:
x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10The point is L(8, - 10)
2. JL/JK = 1 : 5
Find the coordinates of L:
x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6The point is L(0, 6)
a = 5/3 right angle,find b
Answer: i can't
Step-by-step explanation: what b
there's no picture attached
does b have any value?
put a picture and i'll edit my answer
how to order you decimals from least to greatest
d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?
1. cos x sin^2x
2. 1+2 sin^2x cos x
3. 3 sin^2x cos x
4. 2 sinx cos x+sin^2x cos x
5. 2 cos x sin^2x+ sin x cos x
Step-by-step explanation:
1)2*(Cos(x)^2*Sin(x))-Sin(x)^3
2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3
3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3
4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3
5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3
Distribute: -(14s+9)-7(s+11)
Answer: -21s-86
Step-by-step explanation:
Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86
Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
From the question,
We are to distribute -(14s+9)-7(s+11)
To do this,
We will clear the bracket by distributing the terms outside
That is,
-(14s+9)-7(s+11) becomes
-14s -9 -7s -77
Now, if desired, we can simplify further by collecting like terms
-14s -9 -7s -77
-14s -7s -9 -77
Then, we get
-21s -86
The simplified expression is -21s -86
Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
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Complete the conjecture based on the pattern you observe in the examples below:
Conjecture: The sum of any two odd numbers is ___
1 + 1 = 2 9 + 11 = 20
1 + 5 = 6 13 + 21 = 34
7 + 9 = 16 101 + 103 = 204
Conjecture: The product of any two numbers is ___
1 . 1 = 1 9 . 11 = 99
1 . 3 = 3 13 . 11 = 143
3 . 7 = 21 101 . 103 = 10,403
Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___
3 . 5 = 4² - 1 7 . 9 = 8² - 1
4 . 6 = 5² - 1 6 . 8 = 7² - 1
5 . 7 = 6² - 1 8 . 10 = 9² - 1
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
Find an equivalent system of equations for the following system:
2x + 4y = 4
−5x + 5y = 5
A. 2x + 4y = 4
−3x + y = −1
B. 2x + 4y = 4
7x + 5y = −1
C. 2x + 4y = 4
7x − y = 5
D. 2x + 4y = 4
7x − y = −1
What is the formula for distance?
Answer:
Hope my answer helps you mark me brianliest plz
Step-by-step explanation:
d =√(x2-x1)+(y2-y1)
82 x3 +4 +8 +5 +3
I KNOW THE ANSWER JUST SOME POINTS FOR FREE
Answer:
266
Step-by-step explanation:
Answer:
it's 266! have a great day :)