A lightbulb manufacturer must test
a
to ensure
sample of lightbulbs
that quality and safety standards are being met.
Which of these methods will produce the most representative sample
of the
population of lightbulbs made by this company?
O A. The manufacturer tests every lightbulb made on Monday.
O B. The manufacturer tests the last 100 lightbulbs produced each
month.
O C. The manufacturer tests the first lightbulb off the production line
each day.
manufacturer tests every 1000th lightbulb off the production
• D. The
line.

Answer:

The percentage gain in Polly's investment over the two year period will be 2%.

Step-by-step explanation:

Given:

- Polly the Penguin invested $250 in the Antarctic stock market.

- During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period.

To Find:

- The percent loss or gain in Polly's investment.

The formula used to calculate percentage is: (value/totalvalue) x100%

- First, we determine the loss suffered by multiplying the loss percentage with the investment amount. Then, we get the amount after the loss is calculated. Then, we calculate the gain by multiplying the gain percentage with the previous amount to get the net amount in the second year.

Step 1 of 2

- The 15% loss in the first year on the investment amount $250 can be calculated as

[tex]$$\begin{aligned}&=250-15 \% \text { of } 250 \\&=250-\frac{15}{100} \times 250 \\&=250-\frac{3}{20} \times 250 \\&=250-\frac{750}{20} \\&=250-37.5 \\&=\$ 212.50\end{aligned}$$[/tex]

Step 2 of 2

- The 20% gain in the second year can be calculated as

[tex]$$\begin{aligned}&=212.50+20 \% \text { of } 212.50 \\&=212.50+\frac{20}{100} \times 212.50 \\&=212.50+42.50 \\&=\$ 255\end{aligned}$$[/tex]

- Here, we can observe that the total profits increased by $5 from the initial investment of $250. This means that 1% gain is equal to $2.50. So, 2% gains mean $5.

Answer:

5% gain

Step-by-step explanation: mental math

Answer: 5

Step-by-step explanation:

Negative x and positive x combined together cancel each other out

Answer:

40%

Step-by-step explanation:

using our lovely knowledge of percents (or per 100s) we can see that 100-60 is 40, which means only 40% of the votes go to the losing candidate

Answer:

24

Step-by-step explanation:

We know that the final answer has to be in inches.

To convert ft = in, multiply given ft. by 12.

1/6 = 1/6 * 12 = 2

1/4 = 0.25 * 12 = 3

1/3 = 0.3 * 12 = 4

2*3*4 = 23 cubic in.

24

Step-by-step explanation:

Answer:

261 of the graduates are planning to go to college.

Step-by-step explanation:

This is a proportion question.

x         45

___ = ___

580    100

First do 45 x 580 = 26,100

Then divide by 100 to get 261.

Answer:

Ben and Alisha will meet at 11:40 a.m.

Step-by-step explanation:

Given: The time at which Ben leaves his house is 7a.m. and the constant speed at which he biked due east is 15mi/hr.

The time at which Alisha leaves her house is 8a.m. and the constant speed at which she biked due west is 10mi/hr.

The distance at which Alisha lives due east of Ben is [tex]$100 \mathrm{mi}$[/tex].

To find: The time at which they meet.

a. Analyze the given data.

b. Define a variable.

c. Form an equation.

d. Solve for the unknown variable.

e. Use addition, subtraction, multiplication, or division properties.

f. Find the required time.

Step 1 of 5

Let t represent the time (in hours) from 12a.m.

We can also assume the houses as being on the number line, where Ben's house is at 0 and Alisha's house is at 100 .

Ben starts biking at 7 a.m. and he moves right (along our imaginary number line) at 15 miles per hour.

So his position at a time t is 15(t-7).

Alisha starts biking at 8a.m. and she moves left at 10 miles per hour.

So her position at a time t is 100-10(t-8).

Step 2 of 5

Ben and Alisha will meet when their positions are equal. Thus equating both the equations, we get

15(t-7)=100-10(t-8)

Using the distributive property,

15t-105=100-10t+80

Step 3 of 5

By the addition and subtraction properties,

We get,

[tex]$$\begin{gathered}15 t+10 t=80+105 \\\Rightarrow 25 t=285\end{gathered}$$[/tex]

Step 4 of 5

By the multiplication and division properties,

[tex]$$\begin{aligned}t &=\frac{285}{25} \\\Rightarrow t &=11.4 \mathrm{~h}\end{aligned}$$[/tex]

Step 5 of 5

Converting the decimal into minutes,

[tex]$0.4 \times 60=24.0 \mathrm{~min}$[/tex]

Thus the required time is 11:24a.m.

Answer:

D

Step-by-step explanation:

Answer: Tuesday, Thursday, and Saturday

Step-by-step explanation:

Pretty self-explanatory.

It's - b + a

Because we're going down the arrow on b or the opposite direction of b. Then, up to C where its vector is a as it lies half way on AC with half of the line labelled a. So, the other half must be also a.

Hope this helps!

Answer:

55 parking spaces

Step-by-step explanation:

Using unitary method:

For every 12 commuters , 5 spaces are needed.

∴ For 1 commuter:

5 ÷ 12 ⇒  [tex]\frac{5}{12}[/tex]  spaces are needed.

∴ For 132 commuters ⇒ [tex]\frac{5}{12}[/tex]  × 132 = 55 spaces.

Answer:

7 hours

Step-by-step explanation:

He already worked 4 hrs at $3.75 an hour.

Meaning he has already accumulated 15 dollars. (4 * 3.75)

$40 - $15 = $25

So if he needs $25 and he makes $4 dollars an hour:

25/4 = 6.25

He needs to work at least 7 full hours to receive 25 dollars to add with the already earned 15 dollars to total 40 dollars.

Answer: 6.25 hours

Step-by-step explanation:

Step 1: find how much he earned from the odd job

3.75 per hour for 4 hours= 3.75x4= $15

Step 2: Write an inequality

4x+15≥40

Breaking it down:

'4x' means $4 per hour for an unknown number of hours, or just "a number of hours". The reason why you put the x next to the number is because to find the total amount of money he made from that job, you'll have to multiply 4 by however many hours he worked.

15 stands for the amount of money he has right now. He finished the job that paid 3.75 an hour, so don't put an x next to the 15.

40 is the amount of money he needs.

the ≥ sign means "greater than or equal to". In other words, to be able to buy the gift, he needs 40 or more dollars. The line underneath means "greater/less than or equal to". Also, the reason why I didn't put the normal greater sign that looks like >, is beacause that would be saying he needs MORE than 40 dollars to buy the gift, which is not a true statment.

Step 2: Solve the inequality

Solving an inequality is no different from solving an algebra equation. You just ignore the ≥ sign.

4x+15≥40

#1: Always do the inverse operation on the left side number first, never the x term. In other words, always start with addition or subtraction:

See how there is a +15. do the operate equation by subtracting 15 from both sides.

4x+15-15 ≥ 40-15

4x≥25

Now divide both sides by 4. This is because 4x stands for "4 multiplied by x" and the opposite of multiplication is division.

4x/4 ≥ 25/4

x≥6.25

Step 4: Checks

Substitute x for 6.25, but write it as en equation.

4x+15=40

4x6.25 +15 = 40

25+15= 40

40=40

Correct ✅

Answer= He needs to work 6.25, or 6 1/4, or 6 hours and 25 minutes, in order to have enough money for the gift.

Answer:

Please see the attached image.

Step-by-step explanation:

If x > 5, it means that the value of x can take on any value that is greater than 5. Therefore, if you draw a number line, you can put a circle on the number 5 and draw an arrow pointing to the right (in the positive direction, representing all the numbers greater than 5). It is important to note that the circle you draw on the number 5 should not be shaded. This is because, according to the problem, while x can be greater than 5, it cannot equal 5. A hollow circle signifies that the value cannot equal the number circled exactly. I hope this answers your question.

Answer:

Step-by-step explanation:

4.009kg × 1000 = 4009g

Answer: 12

Step-by-step explanation:

Converting the problem into words, we have

x= 4/10*30

x=12

Answer: 52

Step-by-step explanation:

We know that 25 percent is one-fourth, so whatever number divided by 4 equals 13. To do this, we can just multiply 13 by 4 to get our answer, 52.

Answer:

40%

Step-by-step explanation:

percent change = (new number - old number)/(old number) × 100%

percent change = (75 - 125)/(125) × 100%

percent change = -40%

A negative percent change is a decrease.

Answer: 40%

Answer:

x = 10

Step-by-step explanation:

First, subtract 10 from both sides

Next, Simplify

Then, subtract 5/3x from both sides

After, simplify

Lastly, multiply both sides by 3

Then finally simplify for your final answer of x = 10

Hope this helps! :)

Answer:

x = 10

Step-by-step explanation:

  x + 10 = 1/3(5x + 10)
  x + 10 = 5/3x + 10/3
3x + 30 = 5x + 10
       20 = 2x
        10 = x

Answer:

[tex]18 ft^2[/tex]

Step-by-step explanation:

You could calculate the area of the trapezoid and then subtract the area of the triangle.

Area of a trapezoid:

 [tex]A = \frac{a+b}{2}h[/tex]

Plug values in:

[tex]A = \frac{6+12}{2}(6)[/tex]

Add 6 and 12:

[tex]A = \frac{18}{2}(6)[/tex]

Simplify:

[tex]A = 54[/tex]

Area of a triangle:

[tex]A = \frac{1}{2}bh[/tex]

Plug values in:

[tex]A = \frac{1}{2}(6)(12)[/tex]

Simplify:

A = 36

Subtract the area of the triangle from the area of the trapezoid

54 - 36 = 18

You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18

Answer:

609

Step-by-step explanation:

All you must do is multiply 1450 by 0.42. That would give you the total.

Answer:

Hello! The answer to your question is 609 seats.

Step-by-step explanation:

To obtain your answer, you have to multiply the percentage of balcony seats by the total number of seats. 42% is converted to 0.42 because 42/100 = 0.42:

0.42 × 1450 = 609 seats

Answer:

After July, Ana's monthly salary was $1920

Step-by-step explanation:

In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)

[tex]2000+(0.2)(2000)=2000+400=2400[/tex]

So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)

[tex]2400-(0.2)(2400)=2400-480=1920[/tex]

Therefore, after the two changes, Ana's monthly salary was $1920

Answer:

Now Ana's monthly salary is 1920$.

Step-by-step explanation:

Given: Ana's salary in may =2000$

in June she received 20% raise

in July she received 20% pay cut.

To find Ana's monthly salary after the two changes in June and July.

we have to first find Ana's salary at the end of June month with 20% raise. and then her salary after the end of July month with the pay cut of 20%.

Step 1 of 2

Ana's salary after June month when she got 20% raise in his salary after May is equal to

[tex]=2000+(20 \% \cdot 2000)$\\ $=2000+\left(\frac{20}{100} \cdot 2000\right)$\\ $=2400 \$$[/tex]

her new salary after May will be 2400$.

Step 2 of 2

now she got a pay cut of 20% on his new salary from July month

so, her salary after that would be equal to

[tex]=2400-(20 \% \cdot 2400)$\\ $=2400-\left(\frac{20}{100} \cdot 2400\right)$\\ $=2400-480$\\ $=1920 \$$[/tex]

Answer:

[tex]-\frac{5}{9}[/tex]  

Answer:

62.5%

Step-by-step explanation:

since percents are just fractions, we have 5/8 and we need to convert it into a percentage. since 100 is not divisible by 8, we can use a trick by multiplying the numerator by 100. we get 500/8 which is 62.5.

Answer:

90°

Step-by-step explanation:

In the picture, if you make a shape of the angles (including x°, y°, and the undefined angle), it is a circle, therefore it is 360° because a circle is 360°.

First, you add 50° + 40°, which gives you 90°. The undefined angle, which is 50° + 40° vertical angle is also 90° Therefore x° and y° must equal 90°.

[tex]\frak{Hi!}[/tex]

[tex]\orange\hspace{300pt}\above1.8[/tex]

                   To turn kilometers, km, into meters, m, multiply the number

                    of km by 1,000.  This comes out as.

                   [tex]\boldsymbol{\sf{6.4\times1,000=6,400\:Metres}}[/tex]

                   To convert meters, m, into kilometers, km, divide the number

                   of m by 1,000. This comes out as

                   [tex]\boldsymbol{\sf{6,400\div1,000=6.4\:Kilometres}}[/tex]

#learnwithbrainly

[tex]\orange\hspace{300pt}\above2[/tex]