For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?
Answer: 0.1587
Step-by-step explanation:
Given : The distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases.
i.e. [tex]\mu=1200,\ \ \sigma=200[/tex]
Let X denotes the number of purchases per hour.
Then ,
[tex]P(X>1400)=P(\dfrac{X-\mu}{\sigma}>\dfrac{1400-1200}{200})\\\\=P(Z>1)\ \ \[Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\\ =1-0.8413\ \ [\text{By p-value table}]\\\\= 0.1587[/tex]
So, the proportion of hours will the number of purchases at the online store exceed 1,400 =0.1587
Convert this number expressed in standard form to scientific notation
28,500,000
1. Move the decimal to create the coefficient: 2.8500000
2. Write in scientific notation:
2.85 x 100
What is the value of x in the scientific notation?
Answer:
28,500,000 into scientific notation is 2.85 x 10⁷
2.85 x 100 in scientific notation is 2.85 x 10²
if you mean the multiplication symbol, it just means to multiply. otherwise, there i don't see an x anywhere else
I’m so confused what it is asking? (see the attached image)
Answer:
sole it
the(<) it wants you to figure out each side and put the inequality in between what you get
select the correct answer. what is the sum of -6 4/5 and 6 4/5? A. 12 4/5. B. 29/5 C. 0 D. -12 4/5
Answer:
C.
Step-by-step explanation:
-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.
60 and 108 The GCF IS
Answer:
Greatest common factor (GCF) of 60: 223
Greatest common factor (GCF) of 108: 22333
The Greatest Common Factor (GCF) is: 2 x 2 x 3 = 12
Step-by-step explanation:
To get the Greatest Common Factor (GCF) of 60 and 108 we need to factor each value first and then we choose all the copies of factors and multiply them.
A Toyota Prius and a Dodge Circuit leave an intersection at the same time. The Prius heads east at an average speed of 50 miles per hour, while the Circuit heads south at an average speed of 45 miles and hour. After 30 minutes, the two cars are about _____ miles apart. After 2 hours, the two cars are about ______ miles apart. Write an express for the distance, d (in miles) after t hours.
Answer:
33.634 ; 134.536 ; d = √[(50t)² + (45t)²]
Step-by-step explanation:
Given the following :
Toyota Prius = East at 50mph
Dodge Circuit = South at 45mph
Distance apart after 30 minutes :
Distance = speed * time
Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles
Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles
Hence Displacement after 30 minutes :
d = √(25² + 22.5²)
d = √625 + 506.25
d = √1131.25
d = 33.634 miles
Distance apart after 2 hours :
Distance = speed * time
Distance moved by Prius = ( 50mph × 2hr) = 100 miles
Distance moved by Circuit = ( 45mph × 2hr) = 90 miles
Hence Displacement after 2 hours :
d = √(100² + 90²)
d = √10000 + 8100
d = √18100
d = 134.536 miles
Distance d in miles after t hours :
d = √[(50t)² + (45t)²]
inverse sin of 13/7?
Answer:
0.03213586
Step-by-step explanation:
A triangle has vertices located at C(-1,3), A(-1,-3) and T(7,-3). What is the length of the longest side of the triangle ? Ps: please show me the work (IMPORTANT)
Please help me out with this question
Answer:
no. 4
Step-by-step explanation:
What is 78,652 divided by 8 long division
find the location of A' given that A is (3,7) reflect across the x-axis the location of A' is (,)
Answer:
A' (3, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , thus
A(3, 7 ) → A'(3, - 7 )
A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards
Answer:
A. (-10,18); 412 yards
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
Find three consecutive integers such that the sum of the 1st and 3rd is 60.
c. If h(x) = x2 − x − 12, the value of h(3) is __________.
Answer
h(x)= x^2-x-12
(3)^2-3-12
9-3-12
12-12
0
Step-by-step explanation:
Question 9 (4 points)
Given that the two triangles shown below are similar, find the value of x
3
40°
60°
6
8
80°
5
40°
y
Answer:
x = 4.8
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
Which fraction is simplified fraction of 28/56
Answer:
1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
28 * 2 = 56.
find the zero of the function f(x) =-3x + 1
To find the zero of a function, we have to set f(x) equal to 0
0 = -3x + 1
Subtract 1 from both sides.
-1 = -3x
Divide both sides by -3
1/3 = x
Which shows how to find the value of this expression when X=-2 and y = 5?
(3xy-22
32 (-2)
54
3(-2)6
54
32 (5)
(-2)*
3
(2) 654
Answer:
it's the first one
Step-by-step explanation:
I got it right on edge
The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
What does simplification mean?In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.
Here,
Given expression,
= (3x³y⁻²)²
To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)
Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.
Find out more about simplification by visiting this link: brainly.com/question/12501526
#SPJ7
- Do two points always, sometimes, or never determine a line? Explain
Answer:
Always
Step-by-step explanation:
if two points lie in a plane, then the entire line containing those points lies in that plane
3a +- 2b = 6b - 2a for a.
Answer: a=4b/5
Step-by-step explanation:
To solve for a, we want to use algebraic properties to isolate a.
3a+2b=6b-2a [add both sides by 2a]
5a+2b=6b [subtract both sides by 2b]
5a=4b [divide both sides by 5]
a=4b/5
Now, we have found that a=4b/5.
The grocery store is having a sale on frozen vegetables. 4 bags are being sold for 11.96. At this rate, what is the cost of :
1 bag
9 bags
Elizabeth claims that the only square root of 36 is 6. Which statement below disproves Elizabeth’s claim?
Answer:
The square root of a positive number can be a negative or positive value.
Step-by-step explanation:
use a straightedge and a compass to construct a segment of length AB+CD
Answer:
I also just noticed that is saying construct a segment of the lenght of both of them so after you have both lenght measure them draw AB close point get CD and trace it over start from B and there you have the big segment which is made of both of them AB + CD
:)
Step-by-step explanation:
So basically get your compass and start by these steps
first get the total lenght of AB lets say its 100
when you go to make CD angle all you have to do
its trace same line and there you got both points same sizes
I hope that helped.
simplify 1/3(6x−12)+4x
Answer:
2⋅(3x−2)
Step-by-step explanation:
Consider M, N, and P. collinear points on MP. What is the difference between the ratio MN:NP and the ratio MN: MP? PLEASE HELPPPPPPP
Answer:
The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.
Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.
Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps! I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.
please help me out am so confused
Answer:
(i) 2197
Step-by-step explanation:
(i) 13^3
= (10+3)^3
= 10^3 + 3^3 + 3(10)(3) (10+3)
= 1000 + 27 + 90(13)
= 1027 + 1170
= 2197
Similarly you can solve the other two.Help me plz I don't know how to do this!
Answer:
B
Because the right side is double the number on the left
what is equivalent to 2 5/9
Answer:
2.555555 ....
Step-by-step explanation:
2 5/9 is a mixed number.
Use your calculator to divide 9 into 5, to find the value of 5/9. Then add 2 to the result:
5/9 = 0.5555555 (repeating fraction)
Adding 2, we get:
2.555555 .... (repeating fraction)
HELP PLEASE Which relation is a function of x?
Answer:
ok i did one of these before it was the 2nd or 3rd one
What is the equation of the line