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
The Ford Mustang can travel at a rate of 160 miles in 2 hours. The Toyota Corolla can travel at a rate of 210 miles in 3 hours. Which car has faster rate?
Answer:
The Ford Mustang can travel at a faster rate.
Step-by-step explanation:
160/2 = 80/1 miles/hour -Ford Mustang
210/3 = 70/1 miles/hour - Toyota Corolla
simplify the following expressions ( combine like-terms )
Answer:
6x
Step-by-step explanation:
Step 1: Write equation
x + 2x + 3x
Step 2: Combine like terms
3x + 3x
6x
2
45:47
3
4
5
6
7
8
9
10
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another
planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb
Submit
Neyt
Answer:
76
Step-by-step explanation:
140-56= 84
140-84=56
160-84=76
If a package of hot dogs cost 2.98 and a package of hot dog buns cost 2.16 what was the total expense?
Answer:
5.14$
Step-by-step explanation:
2.98$ +2.16$ = 5.14$
2 (4z-1)=3(z+2) simplify
Answer:
z=8/5
Step-by-step explanation:
2(4z-1)=3(z+2)
distribute the 2 and 3
8z-2=3z+6
move 2 to the other side by adding 2
8z=3z+8
move 3 to the other side by subtracting 3
5z=8
divide both sides by 5
z= 8/5
The equivalent value of the expression is z = 8/5 = 1.6
Given data ,
Let the equation be represented as A
Now , the value of A is
2 ( 4z - 1 ) = 3 ( z + 2 )
On simplifying the equation , we get
2 ( 4z - 1 ) = 3 ( z + 2 )
So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )
Opening the parenthesis on both sides , we get
2 ( 4z ) - 2 = 3z + 6
8z - 2 = 3z + 6
Subtracting 3z on both sides , we get
5z - 2 = 6
Adding 2 on both sides , we get
5z = 8
Divide by 5 on both sides , we get
z = 8/5
z = 1.6
Therefore , the value of z = 8/5 = 1.6
Hence , the expression is z = 8/5 = 1.6
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A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the function y = 3x + 28.5. George has cable service with 4 premium channels. Write the domain and range using set notation. What is the cost of George’s monthly cable service?
Answer:
domain all real numbers
range all real numbers
the cost of his monthly cable is $40.50 when you plug in 4
Find the distance between each pair of points.
E(1,3) B(4,6)
Answer:
The Distance is 4.7 which would round to 5
Step-by-step explanation:
7/20 write the decimal from of each rational number and determine
Answer:
0.35
Step-by-step explanation:
Step 1:
7/20 = 35/100
Step 2:
35 ÷ 100
Answer:
0.35
Hope This Helps :)
Someone pls help, I'm giving 14 brainly, this test is literally like my life and I need to pass. So someone pls help me...
Answer:
[tex]-\sqrt{79}[/tex] ;; irrational
0.253 ;; rational
0.412 ;; rational
[tex]\sqrt[3]{83}[/tex] ;; irrational
Step-by-step explanation:
ywww gl mann!
Points A, B, and C are collinear. Point B is between A and C. BC=8x+709. AB=487+5x. AC=91. Find BC.
Answer:
BC = 29Step-by-step explanation:
Point B is between A and C and the points A, B, and C are collinear so:
AB + BC = AC
487 + 5x + 8x + 709 = 91
13x + 1196 = 91
- 1196 - 1196
13x = - 1105
÷13 ÷13
x = - 85
BC = 8x + 709 = 8(-85) + 709 = - 680 + 709 = 29
Two circles have radii 16cm and 23cm. what is the difference between their circumference ?
43.96 cm
≈ 44 cm
Step-by-step explanation:Hi !
C₁ = 2π×r₁
C₂ = 2π×r₂
C₂ - C₁ = 2π×r₂ - 2π×r₁
= 2π(23cm - 16cm)
= 2×3.14×7
= 43.96 cm
≈ 44 cm
Good luck !
Answer:
44 cm
Step-by-step explanation:
r = 16,R = 23;2πR - 2πr
2π(R - r)
2 ×22/7(23 -16)
2×22/7×(7)
2×22=44cm...
If this answer helps you plz mark as brainlist..Express 7.4 x 10² in standard form.
MATH
Answer:
7.4 x 10²
7.4 *100
740
Step-by-step explanation:
10^2 = 100
7.4 × 10^2 = 7.4 × 100 = 740
Answer: 740It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?
Answer:
She can make 20 baskets in 5 hours
The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast
132*132= 17424
so unit digit is 4 Step-by-step explanation:
which grows faster linear or exponential
exponential graphs grow faster
Drag the red vertical line to find the y–values: Orange graph:> when x 1, y = Blue graph: when x 1, y =
Answer:orange graph =-2
Blue graph -2 or 2
Step-by-step explanation:
The value of the orange graph at x=1 is y = [tex]\rm \pm[/tex]2, the blue graph has the value y = -2.
What is a Graph?A graph is a display of the ordered pairs of a function.
The orange graph is a parabola and the blue graph is a straight line.
The intersection of both the graphs is at x =1
when x =1 , the orange graph has a value y = [tex]\rm \pm[/tex]2
when x=1, the blue graph has value y = -2
Therefore, the value of the functions has been determined at x = 1.
The complete question is attached with the answer.
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Help me out im stuck
Answer:
m<1 = 57
Step-by-step explanation:
they are vertical angles
Answer:
C. 57
Step-by-step explanation:
Angles verticle from each other are the same measure.
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
NEED HELP ! It’s due tonight
The graph starts at a value in between 1 and 2 while the expression starts at a value of 6, therefore, the expression has a higher initial value.
f(x) = 3x5 – 15x3 + 12x
Answer:
f(x)=3⋅5−15⋅3+12x
Simplify each term
f(x)=15−45+12x
Subtract 45 from 15
f(x)=−30+12x
Combining Like Terms
Equation: 5x + 7y -2x + 3y
So I get why it could be simplified into 5x - 2x and 7y + 3y, but how do we get the operation to combine those two?
What I mean is what would go in the underline here -
5x - 2x _ 7y + 3y
Explanation please not just answer
5 and 3/4 divided by 1 and 1/2
Answer:Exact Form:
23/6
Decimal Form:
3.83
Mixed Number Form:
3 5/6
What is 6x - 2 if x = 5
Answer:
28
Step-by-step explanation:
6x = 6 x 5 because x = 5.
6 x 5 = 30
30 - 2 = 28
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
Evaluate the function x=-3 g(x) = - 4x
g(x) = - 4(-3)
= 12.........
How to reflect the triangle below across the line y = x.
Answer:
pre-image coordinates (x,y) imagine coordinates (y,x)
Step-by-step explanation:
bascially just switch the x and y coordinates and keep the sign :)
x - 4 = 9
Help please
Answer:
13
Step-by-step explanation:
x-4=9
+4 +4
x=13
Answer:
13
Step-by-step explanation:
Step 1:
x - 4 = 9
Step 2:
x = 9 + 4
Answer:
x = 13
Hope This Helps :)
Four times a number
decreased by ten is 34.
Write an equation & solve.
If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?
Answer:
the answer is 3.5 tell me if you got it right