Megavolt begins manufacturing evil light bulbs for his latest scheme. To ensure quality, he tests every 100th bulb manufactured, starting with the 42nd. What method is Megavolt use to select his sample?
Answer:
Megavolt used a Systematic sampling method.
Step-by-step explanation:
From the information given:
For every 100th evil light bulbs tested, he starts with the 42nd. This implies that;
The first bulb tested is the 142nd bulb, the second bulb tested is the 242nd...
The sequence is as follows:
142nd, 242nd, 342nd, 442nd, 542nd, 642nd .... etc
From the starting point of manufacturing the evil light bulb, the sequence is derived from sampling where each nth unit is known to be a sample, and this is only feasible in systematic sampling.
The triangle with vertices L (-2,5), E (1,4), and (2,-2) is translated 4 units left, 3 units up, and then reflected over the line y=4 to form the image triangle L’E’D. Which vertex of the image is the greatest distance from the origin?
Answer:A
Step-by-step explanation:
The vertex of the image L'(6,8) is the greatest distance from the origin.
Explanation of how reflection across axis works?When a graph is reflected along an axis, say the x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.
Since each point is equidistant from the axis of reflection as that of the image of that point. Thus, if we reflect a point (x,y) along the x-axis, then its x abscissa will stay the same but y ordinates will negate. Thus (x,y) turns to (x, -y)
Given that a triangle with vertices L (-2,5), E (1,4), and D (2,-2) is translated 4 units left, 3 units up, and then reflected over the line y=4 to form the image triangle L’E’D'.
If we subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give each distance.
L (-2,5) -- L (-2 - 4,5 - 4 )
L'(6,8)
Resulting that L'(6,8) being the farthest from the origin (0,0)
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A hot air balloon was at a height of 2180 feet It designated at a rate of 150 feet per minute for 6 minutes. Find it’s height
A lifeguard can swim at a speed of 6 feet per second and run at a speed of 10 feet per second. The lifeguard is standing at the edge of a beach, looking at the ocean to the south. The lifeguard sees a drowning child in the ocean 100 feet east (down the shore) and 80 feet south (out at sea). How far should the lifeguard run before they start swimming?
The requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The question seems to be incomplete, there must be a figure that illustrates the situation,
Since, as of the given data, he might run x distance less toward the east as of the 100 feet east, and than swim, the distance is given as,
= √[x² + 80²].
And the distance run = 100 - x.
Thus, the requried distance run and swam by the lifeguard is 100 - x. and √[x² + 80²] respectively.
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Mrs. Baxter deposits 2000 into an account that earns 5% simple interest how much is Mrs. baxters investment worth after 8 years
I believe your answer is 2954.9
Answer:
2800
Step-by-step explanation:
Interest earned = 2000 × [tex]\frac{5}{100}[/tex] × 8
= 800
Total earned = 2000 + 800
= 2800
The question is in the pic
Answer:
The answer is E.
Step-by-step explanation:
Divide it into rectangles
Solve the system of equation by the substitution method
y=5x+1
2y-6x=10
Answer:
x=2 and y=11
Step-by-step explanation:
Okay so subtitution method
y=5x+1
2y-6x=10
Plug in the y
2(5x+1
)-6x=10
10x+2-6x=10
4x+2=10
4x=8
x=2
now plug in for y
lets use first equation
y=5(2)+1
y=10+1
y=11
Brainliest please.
write it as a single logarithm
Answer:
0
Step-by-step explanation:
log b (3-3)
log b (0)
number 5 ! help pls, will mark brainliest to whoever answers first
THIS ONE PLEASE IM STUMPED
Solve the system of equations. (1 point) 5x + y = 9 3x + 2y = 4
Sanda withdrew $14.50 from his bank account for 6 weeks. What was the total change in his bank account after six weeks?
Answer:
87 is what he took out after six weeks is that it or?
Solve the system of linear equations.
5x + 10y=10
-x - 8y=4
The solution is ( , ).
Answer(4,-1)
Step-by-step explanation: Go on desmos graphing calculator next time. It will show you the answer.
1) Target offers their employees group health
insurance and covers 70% of the cost. If the annual
premium for the insurance is $12,450.00 how much
is deducted from your monthly paycheck?
$311.25 is the amount deducted from the monthly paycheck, if, the annual premium for the insurance is $12,450.00 and target offers their employees group health insurance and covers 70% of the cost.
First, find the amount that the employee contributes to the cost. it can be calculated by multiplying the annual premium by the percentage they pay
$12450.00 x 70%
= $12450 x 70/100
= $8715
Now, subtract the employee's contribution from the total to find the amount that is being taken out of their pay check
12450 - 8715 = - 3735
To find the amount deducted monthly, divide the difference amount by 12
= $3735/12
= $311.25
The amount deducted from monthly paycheck is $311.25
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a(b+8)= ab + ?
will crown you.
Answer:
ab + 8aStep-by-step explanation:
a(b+8)=
ab + 8a
Principal=$100, Rate: 5% , Time: 3yrs, INTEREST?
Answer:
really sorry
Step-by-step explanation:
u
Answer:
Is this a question?
Step-by-step explanation:
If it is, I will answer in the comments if i can
- 6 (1+3)=
Propiedad distributiva
HURRY ILL MARK AS BRAINLIEST!! PLEASE HELP
Answer:
A&C
Step-by-step explanation:
Given that you want to use Super Bulky weight of yarn with 7.5 inches per stitch, and your pattern calls for 119 stitches, what is the number of inches of yarn that you will need
Answer:
119×7.5 =892.5
you need 119 stitches that are each 7.5 inches so you would use that equation to get your answer
maria began the school year with $200 in her school lunch account .The amount of money in the account has decreased linearly after 3 months she had $155 in her account . after 5 months ,she had $125 in her account . witch function models the amount of money that maria had in her account at the end of n months .
Answer:
each mount she spins 15$
Step-by-step explanation:
Translate the sentence into an equation
two less than the product of 5 and a number equals 9
Use the variable y for the unknown number
Answer:
5y-2=9
Step-by-step explanation:
Hopefully this helps :)
HELP ME PLEASE!!!!!
Marisa saved $3000 to take a bike trip from Florida to California. She estimated her expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.
40d + 240 ≤ 3000
Which inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip?
d≤81
d≤75
d≤69
d≤40
Answer: d≤69
Step-by-step explanation:
You would plug in all the values for d into the inequality
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
3000=3000 true
You don't need to try the last one because you already found this one!
The inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip will be d ≤ 69.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Marisa saved $3000 to take a bike trip from Florida to California.
She estimated her expenses to be $40 per day.
The cost of a ticket to fly back is $240.
The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.
40d + 240 ≤ 3000
Substitute all the values for d into the inequality
For, d≤81
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
For, d≤75
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
For, d≤69
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
=3000
therefore, LHS = RHS
Hence, d ≤ 69 is true.
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How do you determine the area under a curve in calculus using integrals or the limit definition of integrals?
Answer:
Please check the explanation.
Step-by-step explanation:
Let us consider
[tex]y = f(x)[/tex]
To find the area under the curve [tex]y = f(x)[/tex] between [tex]x = a[/tex] and [tex]x = b[/tex], all we need is to integrate [tex]y = f(x)[/tex] between the limits of [tex]a[/tex] and [tex]b[/tex].
For example, the area between the curve y = x² - 4 and the x-axis on an interval [2, -2] can be calculated as:
[tex]A=\int _a^b|f\left(x\right)|dx[/tex]
= [tex]\int _{-2}^2\left|x^2-4\right|dx[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]
solving
[tex]\int _{-2}^2x^2dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=\left[\frac{x^{2+1}}{2+1}\right]^2_{-2}[/tex]
[tex]=\left[\frac{x^3}{3}\right]^2_{-2}[/tex]
computing the boundaries
[tex]=\frac{16}{3}[/tex]
Thus,
[tex]\int _{-2}^2x^2dx=\frac{16}{3}[/tex]
similarly solving
[tex]\int _{-2}^24dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=\left[4x\right]^2_{-2}[/tex]
computing the boundaries
[tex]=16[/tex]
Thus,
[tex]\int _{-2}^24dx=16[/tex]
Therefore, the expression becomes
[tex]A=\int _a^b|f\left(x\right)|dx=\int _{-2}^2x^2dx-\int _{-2}^24dx[/tex]
[tex]=\frac{16}{3}-16[/tex]
[tex]=-\frac{32}{3}[/tex]
[tex]=-10.67[/tex] square units
Thus, the area under a curve is -10.67 square units
The area is negative because it is below the x-axis. Please check the attached figure.
The high school swim team needs new equipment. They want to spend no more than $300. Swim caps, x ,cost $5 and kick boards, y ,cost $10.
What could NOT be a solution to this inequality? Let x represent swim caps and y represent kick boards.
A. (60,0)
B. (0,30)
C. (10,20)
D. (50,20)
Omar shops for a new television. He finds the same television at two different stores priced at $259.99. One store offers a mail-in rebate of $75. At a different store, the television is 30% off the regular price. At which store will Omar receive the better deal? Why?
Answer:
At the second store. Because 30% Of 259.99 is more than 75$.
Step-by-step explanation:
store 1.
259.99 - 75 = 184.90
stode 2.
259.99 * 30% = 78
259.99 - 78 = 181.99
need asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Order from least to greatest .357 , 1.02, .80 , .002, .05 , .40
Answer:
least to greatest:
.002
.05
.357
.40
.80
1.02
Step-by-step explanation:
Answer:
.002, .05, .357, .40, .80, 1.02
Step-by-step explanation:
Is 43/99 rational or irrational
If you make $558.75 Gross for 37.25 hours worked, how much do you get paid
hourly?
To get this answer, divide the total gross amount over the number of hours worked.
558.75/37.25 = 15
Note: gross pay is before taxes and other deductions take place
what ratio forms a proportion with 8/36 ?
a. 1/4
b.6/27
c.7/30
d.2/7
The ratio 6/27 forms a proportion of 8/36 which is the correct answer that would be an option (B).
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
The ratio is given in the question:
8/36
The above ratio can be rewritten as:
(2 × 2 × 2)/(3 × 3 × 2 × 2)
Cancel out the same number in the ratio
2/(3 × 3)
2/9
As per option (B), we
6/27
The above ratio can be rewritten as:
(2 × 3)/(3 × 3 × 3)
2/(3 × 3)
2/9
Thus, the ratio 6/27 forms a proportion of 8/36.
Hence, the correct answer would be option (B).
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