The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).
Explanation:
The mean length of a certain product X is μ = 18 inches.
As we know that the length of a certain product X is normally distributed.
So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.
Let's find the probability of X > 18 using the standard normal distribution table:
P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5
Therefore, P(X > 18) = 0.5
Using the complement rule, the probability of X < 18 can be obtained:
P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5
Therefore, the probability P(X > 18) is the same as P(X < 18).
Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.
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What is the simple interest of $1500.00 for 4 months at 6 3/4%
annual interest?
A) $222.22
B)$101.25
C)$50.63
D)$33.75
The simple interest of $1500.00 for 4 months at 6 3/4% annual interest is $101.25. Thus, the correct answer is B) $101.25.
To calculate simple interest, we use the formula: Interest = Principal x Rate x Time. In this case, the principal (P) is $1500.00, the rate (R) is 6 3/4% (or 0.0675 as a decimal), and the time (T) is 4 months.
First, we need to convert the rate from a percentage to a decimal by dividing it by 100: 6 3/4% = 6.75/100 = 0.0675.
Next, we plug these values into the formula: Interest = $1500.00 x 0.0675 x 4 = $101.25.
Therefore, the simple interest on $1500.00 for 4 months at 6 3/4% annual interest is $101.25. Thus, the correct answer is B) $101.25.
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Determine The Sum Of - -5-8-11--------269 b)1-3+9----243
Given expression are:
a) -5 - 8 - 11 -... - 269 = -11823.
b) 1 - 3 + 9 - ... + 243 = 364.
a) To find the sum of the given expressions, we first have to identify the type of the sequence.
The first expression is an arithmetic sequence with common difference -3.
Using the formula of the sum of arithmetic sequence, we can find the sum of the sequence.
Formula to find sum of n terms in an arithmetic sequence:
Sn = (n/2) [2a + (n-1)d]
where n is the number of terms in the sequence, a is the first term and d is the common difference)
To find the sum of the first expression, we need to calculate the number of terms in the sequence.
Given, First term, a = -5 Common difference, d = -3 Last term, l = -269
Using the formula for finding nth term in an arithmetic sequence:
l = a + (n-1)d-269
= -5 + (n-1) (-3)-269
= -5 -3n + 3-3n
= -267n = 89
Therefore, there are 89 terms in the sequence.
Now, using the formula of the sum of the arithmetic sequence:
Sn = (n/2) [2a + (n-1)d]S89
= (89/2) [2(-5) + (89-1) (-3)]S89
= (89/2) [-10 - 264]S89
= -11823
The sum of the
is -11823.
b)The second expression is a geometric sequence with common ratio 3.
Using the formula of the sum of geometric sequence, we can find the sum of the sequence.
Formula to find sum of n terms in a geometric sequence:
S = [a(1-r^n)] / [1-r]where n is the number of terms in the sequence, a is the first term and r is the common ratio
To find the sum of the second expression, we need to calculate the number of terms in the sequence.
Given, First term, a = 1 Common ratio, r = 3 Last term, l = 243
Using the formula for finding nth term in a geometric sequence:
l = ar^(n-1)243
= 1 x 3^(n-1)3^(n-1)
= 243n-1 = 5n = 6
Therefore, there are 6 terms in the sequence.
Now, using the formula of the sum of the geometric sequence:
S = [a(1-r^n)] / [1-r]S
= [1(1-3^6)] / [1-3]S
= [1-729] / (-2)S
= 364
The sum of the geometric sequence is 364.
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lily wants to put a bird food mix in her bird feeder.Her bird feeder can hold 8 cups of bird food.The bird food is a mix of 20% corn and the rest is sunflowers seeds how many cups of corn will lily need to fill the 8 cup bird feeder.If the rest of the mix is sunflower seed,what percent of the bird food is sunflower seed.
Answer:
80%
Step-by-step explanation:
100% is full so you do 100%-20%=80% so thats the answer
Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
What do you want from my world?
You're a good little girl♪♪♪
Answer:
Bad little boy
That's what you're acting like
I really don't buy
That you're that kind of guy
And if you are
Why do you want to hang out with me?
Step-by-step explanation:
i had to look in the internet hehe click the ❤️
please
Sombody please help ASAP!
Answer:
a translation down 9 unit
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
Answer:
B (3, -4)
Step-by-step explanation:
A( -7, 2)
midpt ( -2, -1)
Equation:
(x + 5, y - 3)
Solve for B:
( -2, -1)
(x + 5, y - 3)
(3, -4)
Which angles!!! Need answers 40% of my grade please and thank you
Answer:
alternate interior angle
No image, Find the volume of a garden
seat in the shape of a
triangular prism with a height
of 30 inches and a base area
of 72 in^2 *Hint* Base
area means
they have
already
calculated
the area of
the base for
you!
Answer:
volume = 720 in³
Step-by-step explanation:
volume = 1/3Bh = 1/3 x 72 x 30 = 720 in³
Anna owns a small business selling used books. She knows that in the last week 29 customers paid cash, 26 customers used a debit card, and 62 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a percent to the nearest whole number.
The probability that the next customer will pay with cash, expressed as a percent to the nearest whole number, is 25%.
To calculate the probability that the next customer will pay with cash, we need to use the total number of customers in the last week (29 + 26 + 62 = 117) and the number of customers who paid with cash (29).
The probability that the next customer will pay with cash can be expressed as: P(cash) = 29/117
To express this probability as a percentage, we can multiply by 100:
P(cash) = 29/117 × 100 ≈ 24.79%
Therefore, the probability that the next customer will pay with cash is approximately 24.79%. To round this to the nearest whole number, we need to look at the decimal part of the percentage. If it's less than 0.5, we round down, and if it's 0.5 or greater, we round up. In this case, the decimal part is 0.79, which is greater than 0.5, so we round up:
P(cash) ≈ 25%
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Solve for v and put your answer in simplest radical form. Show steps plz!
r = stu/v^2
Answer:
V= √( r/Stu)
Step-by-step explanation:
r = stu/v^2
Let us cross multiply , we have
r. v^2 = (s. t. u)
Let us make v ^2 the subject of the formula, we have
v^2 = (s t u)/ r
Find the square of both sides we have
V= √( r/Stu)
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay when he returned the truck. For how many mile did he drive the truck?
The given question is incomplete. The complete question is:
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?
Answer: Omar drove the truck for 5.15 miles
Step-by-step explanation:
Base fee = 17.95 $
Additional charge per mile = 98 cents = 0.98 $ ( 100cents = 1$)
Now Omar payed = 22 $
Let the miles he travelled = x
Now , [tex]17.95+0.98\times x=23[/tex]
Solvimg for x :
[tex]x=5.15miles[/tex]
Thus Omar drove the truck for 5.15 miles
Need to help to find the slope pls helppp
Answer:
Step-by-step explanation:
easy
Answer:
it is 2
Step-by-step explanation:
rise over run
it goes up 2 points and
moves right 1 point
2/1 =2
A cone has a volume of 100[tex]\pi[/tex] Cubic units and a diameter of 10 units. What is the height of the cone?
Answer:
12 units
Step-by-step explanation:
The formula for the volume of a cone is given as:
πr²h/3
The volume = 100π cubic units
Diameter = 10 units.
Radius = Diameter/2
= 10 units/2 = 5 units
Hence:
Formula to find the height of a cone
h = 3V/πr²
We substitute
h = 3 × 100π/π × 5²
h = 300π/25π
h = 12 units
The height = 12 units
A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?
Answer:
Step-by-step explanation:
3x6= 18 then 14000 x 18 = 252,000
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Answer:
a no b yes c no d no e yes
Step-by-step explanation:
Can a simple directed graph G = (V, E) with at least three vertices and the property that deg+(v) + deg¯(v) = 1, Vv € V exist or not? Show an example of such a graph if it exists or explain why it cannot exist.
No, such a simple directed graph with at least three vertices and the property that deg+(v) + deg¯(v) = 1 cannot exist.
The property deg+(v) + deg¯(v) = 1 implies that for every vertex v in the graph, the sum of its in-degree (deg¯(v)) and out-degree (deg+(v)) is equal to 1. In a directed graph, the in-degree of a vertex represents the number of incoming edges, while the out-degree represents the number of outgoing edges.
If we consider a graph with at least three vertices, let's say v1, v2, and v3, and apply the given property, we would have:
deg+(v1) + deg¯(v1) = 1
deg+(v2) + deg¯(v2) = 1
deg+(v3) + deg¯(v3) = 1
However, this leads to a contradiction. In a directed graph, the sum of in-degrees and out-degrees of all vertices is always equal. Therefore, if we sum up the equations above, we would get:
deg+(v1) + deg+(v2) + deg+(v3) + deg¯(v1) + deg¯(v2) + deg¯(v3) = 3
Since each term on the left-hand side of the equation is at least 1 (due to the property), the sum would be at least 6. This contradicts the fact that the sum should be equal to 3.
Hence, a simple directed graph with at least three vertices and the property deg+(v) + deg¯(v) = 1 cannot exist.
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9. a) Why does every pair of whole
a
numbers have a GCF of 1 or greater?
Answer:
A whole number is any positive integer greater than zero and is not a fraction or a decimal. Any whole number can be divided by itself and one so therefor all pairs of whole numbers have a GCF of one. However the bigger the number the more factors it can have so the GCF of a pair of whole numbers may have a greater GCF than 1.
Step-by-step explanation:
Please help me on this question if you would want brianleist!! Tank yah!! ^^
Helpoopooo please !!!!!!
Answer:
I believe the answer is 2/3
Step-by-step explanation:
Choose the best term from the box.
The ?
of an object is how heavy the object is.
?
weight
length
capacity
15
Jeremiah and his children went into a bakery and he bought $20 worth of cupcakes and cookies. Each cupcake costs $5 and each cookie costs $1.25. He bought 4 times as many cookies as cupcakes. Graphically solve a system of equations in order to determine the number of cupcakes, x,x, and the number of cookies, y,y, that Jeremiah bought.
Answer: (2,8)
Step-by-step explanation:
5x+1.25=20
y=4x
5x+1.25y=20 y=4x
1.25y=-5x+20
1.25y/1.25=-5x+20/1.25
y=-4x+16
find the mean median mode, round to the neaerest tenth. 60,70,75,78,80,80,83,85,87,90.90,90,90,93,95,95,98,100.
Answer:
Mean: 84.6
median:85
mode:90,80
range:40
minimum:60
maximum:100
Step-by-step explanation:
Answer:
mean = 85.5
median = 88.5
mode = 90
Step-by-step explanation:
Okay, so the mean is the sum of the terms divided by the total number of term so basically:
60 + 70 + 75 + 78 + 80 + 80 + 83 + 85 + 87 + 90 + 90 + 90 + 90 + 93 + 95 + 95 + 98 + 100 = 1,539
1,539 ÷ 17 = 85.5
Now, the median is just the number in the middle so we already have our numbers in order so the middle numbers are 87 and 90, so we just have to add them together and then divide by 2:
87 + 90 ÷ 2 = 88.5
and the mode is just the number that's repeated most, and that number is 90
hope this helps:)
Bamboo plants can grow 91 centimeters per day. what is the approximate growth of the plant inches per hour?
Answer:
roughly 1.5
Step-by-step explanation:
The equation of line s is y = __13 x − 3. The equation of line t is y = –x + 5. The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P. Draw a line to represent line s and another line to represent line t. Then plot point P.
Answer:
They cross at point (0.571, 4.429)
Step-by-step explanation:
I just did it and got it correct
Please mark me Brainliest
Question 10 of 10
What is the value of y?
10"
50
A. 30°
B. 40°
C. 50°
D. 60°
Answer:
i think ik it the aswer is c
Given f(x)=3x^2+kx+9, and the remainder when f(x) is divided by x-3 is 6, then what is the value of k?
Answer:
k = - 10
Step-by-step explanation:
6=9+3(k+9)
3(k+9)=-3
k+9= -1
k= -10
The value of k is -10.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given a function 3x² + kx + 9.
Divide the function with x - 3.
Do the long division process.
After doing the long division,
(3x² + kx + 9) / (x - 3), we get the quotient as 3x + (k + 9) and the remainder as 9 + 3(k + 9).
9 + 3(k + 9) = 6
3(k + 9) = -3
k + 9 = -1
k = -1 - 9
k = -10
Hence the number k has the value -10.
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Is it possible or impossible for a graph to have exactly one vertex of odd degree. If so, describe the graph by giving its degree sequence. If not, explain why not.
It is impossible for a graph to have exactly one vertex of odd degree.
What is a vertex?Vertex is described as a point on a polygon where the sides or edges of the object meet or where two rays or line segments meet.
The total of all vertices' degrees in any graph is always even. This is so because each edge adds two degrees—one for each endpoint—to the overall number of degrees.
The total number of degrees at all vertices must therefore be an even number.
If a graph had exactly one vertex of odd degree, the sum of the degrees of all other vertices would be even.
if we add an odd degree to an even sum, the result would be in an odd total degree count, which contradicts the fact that the sum of all degrees in a graph is always even.
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Jenny sleeps for 8 hours every day. How many days does she spend over the course
Answer:
56 Hours A Week... how long is the course though?
Step-by-step explanation:
Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.
Answer:
y=4x+5
Step-by-step explanation:
y=mx+c
gradient =m
y intercept=c
m=4
c=5
so
y=4x+5
Answer:
y=4x+9
Step-by-step explanation:
y=mx+b
y=4x+b
5=4(-1)+b
5=-4+b
b=9
y=4x+9
Graph on a coordinate plane P(-3,-5)
Answer:
Answer is in the image below
Answer:
P is simply the mark or letter that the point will be called. In this case we have -3,-5. You will move left 3 spaces from the origin and down 5 places from the spot you marked -3. After that will be point P