Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use
Answer:
Systematic Sampling
Step-by-step explanation:
According to the Question,
systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.So, systematic sampling is right Answer.
Answer:
Systematic Sampling
Step-by-step explanation:
What type of sampling did the daycare operator use Systematic Sampling.
A cyclist travels 5 miles in 15 minutes.
What is her average speed in mph?
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
Find the area of the parallelogram. If necessary, round to the nearest whole number.
6 in
5 in
8 in
Answer:
40
Step-by-step explanation:
A = base x height
8 is base
5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.
A = 8 x 5
A = 40
write an expression for 8 less than 2 times a number
show your work
Answer:
Step-by-step explanation:
Let's call the number x. The statement "...2 times a number" if the number is x looks like this:
2x
"8 less than" that looks like this:
... - 8
Putting the whole thing together:
2x - 8
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.
find the coefficient of variation from the following data mean=4 variance=25
3/4 + 5/4 with explanation and steps....
Answer:
step 1
3/4+5/4
step 2
dinominator is same so we have to put 4
step 3
3+5/4
step 4
7/4
answer is 7/4
Answer:
2
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] + [tex]\frac{5}{4}[/tex]
Since the denominators are common, both 4 then add the numerators leaving the denominator
= [tex]\frac{3+5}{4}[/tex]
= [tex]\frac{8}{4}[/tex]
= 2
Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x [tex](x- E(x))^{2}[/tex] [tex](x-E(x))^{2} *p(x)[/tex]
0 [tex](0-0.9)^{2}[/tex] [tex](0-0.9)^{2} *0.15[/tex] =0.1215
1 [tex](1-0.9)^{2}[/tex] [tex](1-0.9)^{2} *0.8[/tex] =0.008
2 [tex](2-0.9)^{2}[/tex] [tex](2-0.9)^{2} *0.05[/tex] =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Can someone help and explain this to me,if you do it means a lot :)
Answer:
0 zero
Step-by-step explanation:
you must find gf(x) first
g[ f(x) ] = g [ 2 + 1 ]
= 3-2+x which is you sub fx tu g
g [ f (-1) ] = 3-2-1
=0
If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?
Answer:
√65
Step-by-step explanation:
The distance formula can be represented as
[tex]\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}[/tex]
Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have
[tex]\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}[/tex]
as our answer
someone help me please with this algebra homework
Answer:
the 4th option
Step-by-step explanation:
the 4th one
Answer:
D. 2.99x + 12.99y = 43.92
Step-by-step explanation:
1 pair of socks costs $2.99
x pairs of socks cost 2.99x
1 blouse costs $12.99
y blouses cost 12.99y
The total cost is the sum of the two costs
2.99x + 12.99y
We are told the total cost is $43.92
2.99x + 12.99y = 43.92
Answer: D. 2.99x + 12.99y = 43.92
8. Write the equation for a line that has a slope of 5 and a y-intercept of
negative 12.
Answer:
[tex]y=5x-12[/tex]
Step-by-step explanation:
This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.
Hope this is helpful.
Step-by-step explanation:
equation of the line is given by the equation
y=mx+c
in this question you are given the slope (m) as 5 and the y intercept (c) as -12
therefore the equation will be
y=5x+(-12)
y=5x-12
Can someone help me with this
Answer:
use system of equations
Step-by-step explanation:
Set one up for the Smith family and one for the Jones family
Helpppppp and explain pls
Answer:
option e
Step-by-step explanation:
It should be arranged in table form
Row ------> Classes
Column -----> Courses
Sophomores Juniors Seniors
Biology 110 60 20
Chemistry 50 140 85
Physics 17 70 107
what's the answer for 36x² - 84xy + 49y²
Answer:
(6x-7y)(6x-7y).
Step-by-step explanation:
.
Answer:
36x² - 84xy + 49y² =
6²x² - 2 (6x) (7y) + 7²y² =
(6x - 7y) ²
Answer.
(6x - 7y) ²
How many numbers? How many numbers are there from 421 to 430? How many numbers are there from 567 to 573? How many numbers are there from 890 to 898?
what method you used to find out the numbers between one number and another
Answer:
9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end
A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 12 ft, what percentage of the total capacity is being used
Answer:
"85.7%" is the right answer.
Step-by-step explanation:
According to the question,
The total capacity of water tank will be:
⇒ [tex]v_1=A\times 14[/tex]
The total volume of water will be:
⇒ [tex]v_2=A\times 12[/tex]
Now,
The percentage of total capacity will be:
= [tex]\frac{100\times v_2}{v_1}[/tex]
= [tex]\frac{v_2}{v_1}\times 100[/tex]
By putting the values, we get
= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]
= [tex]85.7[/tex]%
When Owen bought a remote-control helicopter, he agreed to pay a 9% shipping and handling charge. If Owen paid $4.86 in shipping and handling, how much must the helicopter have cost?
Answer:
The helicopter costs 54 dollars and 9% of 54 is 4.86.
Step-by-step explanation:
9% of what number = 4.86
... is equivalent to:
9% × ? = 4.86
---------------------------------
- Percent (%) means 'out of one hundred'-
(100 × 4.86) ÷ 9 =
486 ÷ 9 =
54
PLEASE HELP!!! Which choice is a solution to the system of equations below?
A. There are infinitely many solutions
B. (-4, 1)
C. (4, -1)
D. (3, 4)
Answer:
A.
Step-by-step explanation:
4y = 12x + 16
3x = y - 4
=>
y = 3x + 4
using that in the first equation
4(3x+4) = 12x + 16
12x + 16 = 12x + 16
=> both lines/equations are identical, so they have infinitely many solutions.
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
49
Step-by-step explanation:
The probability of choosing a red marble is equal to the number of red marbles over the number of total marbles there are.
Therefore, let the number of red marbles be [tex]x[/tex].
We have the following equation:
[tex]\frac{x}{84}=\frac{7}{12}[/tex]
Cross-multiplying, we get:
[tex]12x=7\cdot 84,\\x=\frac{84\cdot 7}{12},\\x=\boxed{49}[/tex]
Therefore, there are 49 red marbles in the bag.
Convert 6 centimeters per second to miles per hour.
0.13 mph
7.87 mph
0.07 mph
5.87 mph
Answer:
A, 0.13 mph.
Step-by-step explanation:
To get that, divide the cm/sec by 44.704.
6/44.704 ≈ 0.13
Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)
Given:
[tex]u=(-1,4)[/tex]
[tex]v=(3,-2)[/tex]
The equation is:
[tex]t=u+v[/tex]
To find:
The ordered pair to represent t in the given equation.
Solution:
We have,
[tex]t=u+v[/tex]
Substituting the given values, we get
[tex]t=(-1,4)+(3,-2)[/tex]
[tex]t=((-1)+3,4+(-2))[/tex]
[tex]t=(-1+3,4-2)[/tex]
[tex]t=(2,2)[/tex]
Therefore, the ordered pair to represent t in the given equation is (2,2).
The following system of equations represents the total distance a flight from point A to point B flies based on its initial, I, and return, R, journey speeds, as well as the total time in the air for the round trip. Determine the amount of time each leg of the journey takes.
120I+200R=2000
I+R=15
10 hours, 5 hours
12 hours, 20 hours
12.5 hours, 2.5 hours
No Solution
Answer:
ewan ask mo kay ma'am para alam mo po
If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?
Answer:your answer should be 2
Step-by-step explanation:
HELP ASAP PLEASE
Jeff and three of his friends want to join a basketball league. League rules say teams must have at least five players, but can not have more than twelve players. In interval notation, how many more people can join Jeff's team.
Answer:
8 more players
Step-by-step explanation:
There are already 4 players including Jeff, so in order to have more players, they need from 1-8 more players.
Have a good day!!!!
Can someone help me pls
Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
Which steps will verify that a parallelogram is a rectangle? Check all that apply.
To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.
Answer: 1st one and last one
Step-by-step explanation:
3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.
We have l = 20 * 20 * 20 = 8000 cm3
One cube will have l = 5 * 5 * 5 = 125 cm3
-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64
Does (2, 1) make the equation y = 8x true? yes no
Answer:
No
Step-by-step explanation:
Because 1 don't equal to 16
Answer:
no
Step-by-step explanation:
* means multiply
(2,1)
x = 2
y = 1
just plug in the numbers
1 = 8*2 ?
1 = 16? no