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
what is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)
Answer:
Perimeter = 6x² + 8x
Step-by-step explanation:
Perimeter = 2(length + width)
perimeter = 2((x²+x)+(2x²+3x))
perimeter = 2(x²+2x² + x+3x)
perimeter = 2(3x² + 4x)
perimeter = 2*3x² + 2*4x
perimeter = 6x² + 8x
Classify the system of equations and identify the number of solutions. 5x + y = 2 2y = 4 − 10x
infinitive
Step-by-step explanation:
The system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The system of equations are:
5x + y = 2
2y = 4 − 10x
The system of equations can be written as:
5x + y = 2 ..(I)
10x + 2y = 4 ...(II)
In equation (II) divide by 2
5x + y = 2 ..(III)
Equations (I) and (III) represent the same equation:
The system of equations represents the Dependent because the solution to the system of equations has infinitely many solutions.
Thus, the system of equations represents the dependent because the solution to the system of equations has infinitely many solutions.
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The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls
Answer:
G=2H+6. -(1)
Also, G and H are supplementary angles which mean their sum would be180.
G+H=180
G=180-H. -(2)
From (1)&(2)
2H+6=180-H
3H=174
H=58
Hope it helps :-)
An alligator is 6 inches long at birth and grows 9 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?
Answer:
42 feet
Step-by-step explanation:
y=mx+b
y=9x+6
9•4 =36 +6= 42
42=(9•4)+6
Use elimination to solve and match each system of equations to the correct solution 5x=15-5y
8y+26=2r Brainliest to the first answer I get
Answer:
40x=120
10r=130
Step-by-step explanation:
8(5x=15-5y)= 40x=120-40y
5(8y+26=2r)= 40y+130=10r
40x=120-40y
10r=130+40y
40x=120
10r=130
This is as far as I could get because the two numbers have two different variables, I couldn't subtract or add. It would be like subtracting apples from oranges... you can't
[tex]\begin{cases}5x=15-5y\\ 8y+26=2x\end{cases}\\\\\begin{cases}5x+5y=15\\ -2x+8y=-26\end{cases}\\\\\begin{cases}(5x+5y)\cdot2=15\cdot2\\ (-2x+8y)\cdot5=-26\cdot5\end{cases}[/tex]
+ [tex]\begin{cases}10x+10y=30\\ -10x+40y=-130\end{cases}[/tex] (adding first equation to second)
[tex]\begin{cases}10x+10y=30\\{}\qquad50y=-100\end{cases}\\\\\begin{cases}10x+10y=30\\{}\qquad y=-2\end{cases}\\\\\begin{cases}10x+10(-2)=30\\y=-2\end{cases}\\\\ \begin{cases}10x-20=30\\y=-2\end{cases}\\\\ \begin{cases}10x=50\\y=-2\end{cases}\\\\ \begin{cases}x=5\\y=-2\end{cases}[/tex]
The average distance across an ocean is 1,600 km. Two continents on either side of the ocean are converging at a rate of 0.0001 km/year. How long will it take for them to collide? The formula to find time is: time = distance/convergence rate. Solve.
Answer: 16,000,000 years
Step-by-step explanation:
The question already states the formula for time so
1600/0.0001= 16,000,000
What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only
Answer:
The answer is C. 8
Step-by-step explanation:
First we should reorganize the data set so that it is easier to see the mode:
0, 1, 2, 2, 5, 7, 8, 8, 8, 9
Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:
0 - Once
1 - Once
2 - Twice
5 - Once
7 - Once
8 - Thrice
9 - Once
From this we can see that the value 8 occurs the most.
Therefore, the answer is C. 8
In a community garden shown to the right you want to plan a fence in a vegetable garden that is adjacent to your friends Garden you have at most 44 ft of fence and the fence must around all four sides of your garden what is the possible lengths of your garden
Answer:
Length of the garden = 13 ft
Width of the garden = 9 ft
Step-by-step explanation:
Let the length of my new garden = l ft
It's given in the question,
width of the garden = 9 ft
Formula to calculate the perimeter of a rectangle is,
P = 2(L + W)
Where L = length of the garden
W = width of the garden
P = perimeter of the garden
Length of the fence = 44 ft
By substituting values in the formula,
44 = 2(l + 9)
22 = l + 9
l = 22 - 9
l = 13 ft
Therefore, length of my new garden = 13 ft
Width of the garden = 9 ft
Jarrett wants to buy a really cool car but it costs $4,350 and he doesn’t have a job. The only job he can find will pay him $7.25 an hour and he can only work 20 hours a week. (Ignoring taxes and deductions) how many weeks will he need to work before he has earned enough money to buy the car?
Answer:
30 weeks
Step-by-step explanation:
7.25 x 20 = 1 WEEK
1 WEEK= 145$
4,350 divided by 145=30
30 weeks
Please help me I’ll give brainliest
Answer:
B, C, D
Step-by-step explanation:
describe the domain and range
Answer:
see below
Step-by-step explanation:
The domain is the input values
The domain is the resistance values
D: { 4,6,48,80,120}
The range is the output values
The range is the current values
R : { .1,.15,.25,2,3)
Help me solve the following
Answer:
C. c = 8
Step-by-step explanation:
Step 1: Write equation
7 - 3c = -17
Step 2: Subtract 7 on both sides
-3c = -24
Step 3: Divide both sides by -3
c = 8
Answer:
C)8
7-3c=-17
-3c= -24
c=8
Please help me out with this question
Answer:
no. 4
Step-by-step explanation:
Point P is 3/4 of the way from A to B. What are the coordinates of
point P?
В
2
x
-2
O
-2
A
O (-6.5, -9.5)
O (-3.5, 1.25)
O (1.5, 5.25)
O (-4,-0.5)
Answer:
B. (-3.5, 1.25)
A used car is for sale for $8,950. If Jenny will pay for the car over a 5 year period, what will be her monthly payment, to the nearest dollar?
3,729/month
1,790/month
149/month
60/month
Answer:
your answer will be 149/month
Step-by-step explanation:
you wanna ask urself how many months are in 5 years
The answer is: 60 months
then, you wanna divide the cost of the car over 60 months
So:
[tex]$8950/60=149.166[/tex]
round that to the nearest dollar AKA the ones
it'll be 149
and don't forget the unit of time
which is month
$149/month
answer quick please
Answer:
x= 12 y= 9
Step-by-step explanation:
x+29=3x+5
-x
29=2x+5
-5
2x=24
/2 /2
x=12
12+29=41
180-41= 139+5= 144÷16=9
which is the correct answer?? I have 5 mins left to finish this pls help
Answer:
25.3
Step-by-step explanation:
I just put it in my calculator.
Hey uhm I don't understand:
-2/3 (1/2) (-6/7)=
i need the answer in a fraction. THANXS!
Please help!
No wrong/spam answers!
Answer:
c) 25
Step-by-step explanation:
[tex] \because \: l \parallel m \\ \therefore \: 3x \degree = (2x + 25) \degree ..(alternate \: \angle 's)\\ 3x = 2x + 25 \\ 3x - 2x = 25 \\ \huge \orange{ \boxed{x = 25}}[/tex]
Answer:
Spam answer
Step-by-step explanation:
c) 25
A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?
Answer:
1,900
Step-by-step explanation:
Answer:
1900 is my pick
Step-by-step explanation:
Solve.
h + 14 = -14
h =
Answer:
h= -28
Step-by-step explanation:
h+14=-14
-14 -14
h= -28
Walk me through solving this one-step equation for x.
-18 + x = -11
-18 + x = -11
Let's add 18 to both sides
x = 7
Answer:
7
Step-by-step explanation:
Step 1:
- 18 + x = - 11
Step 2:
x = - 11 + 18
Answer:
x = 7
Hope This Helps :)
Make ”a” the subject of the formula 9a-8=2(a-b)
Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
What are some examples of Adjacent Congruent Angles.
Answer:
base angles of an isosceles triangleangles at successive corners of any regular polygonangles either side of an angle bisectorangles made by a perpendicular to a line (excluding vertical angles)Step-by-step explanation:
When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.
Angles at successive corners of any regular polygon are congruent adjacent angles.
Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.
Which statement correctly describes this expression?
Answer:
A. 5 more than the absolute value of the cube of a numberStep-by-step explanation:
x ← a number
x³ ← the cube of the number
|x³| ← the absolute value of the cube of the number
|x³| + 5 ← 5 more than the absolute value of the cube of the number
Find the value of f(3)
What is the slope? Please answer ASAP
The coordinates of figure PQRS and its image P'Q'R'S' are written below. P(2,2) Q(5,2) R(5,6) S (2,6). P'(-6,2) Q'(-3,2), R' (-3,6) S(-6,6) Which single transformation can map figure PQRS onto figure P'Q'R'S'?
Answer:
A reflection across the Y-axis
Step-by-step explanation:
The single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
Given that, the coordinates of figure PQRS are P(2,2) Q(5,2) R(5,6) and S (2,6) and the coordinates of the image P'Q'R'S' are P'(-6,2) Q'(-3,2), R'(-3,6) and S' (-6,6).
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and image, after transformation, refers to the object's ultimate shape and location.
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
The figure PQRS is reflected on the y-axis and translated left to 1 unit.
Therefore, the single transformation can map figure PQRS onto image P'Q'R'S' is a reflection.
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the product of 25 and the number of students
Answer:
25n
25*n
Step-by-step explanation:
let n represent the number of students
A car travels 100 meters in 5 seconds. Whats is the speed of the car
Answer:
20m/s
Step-by-step explanation:
[tex]Speed=Distance\div Time[/tex]
[tex]Speed=100m \div 5s[/tex]
[tex]Speed = 20m/s[/tex]