Mathematics High School

These are the times for 200 people to get to work. A 10% sample, stratified by time, is taken. Complete the table.

Answers

Answer 1

Answer:

look at the atachment below! :)

Step-by-step explanation:

Answer 2

The entries that complete the table are 1, 2, 8, 6 and 3

How to complete the table?

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10% ≈ 1

22 => 22 * 10% ≈ 2

77 => 77 * 10% ≈ 8

63 => 63 * 10% ≈ 6

31 => 31 * 10% ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3

Related Questions

Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)

Answers

Answer:

7 bottles

Step-by-step explanation:

Christie needs to buy at least 45 fluid ounces of milk at the store.

33.8 fluid ounces=1 Liter

1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters

45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]

Now:

1 Liter =1000 Milliliter

Therefore:

1.3313 Liter= 1000 X 1.3313 Milliliters

1.3313 Liter= 1331.3 Milliliter

Therefore, the smallest number of 200 milliliter bottles Christie must buy is:

[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]

Answer:

Step-by-step explanation:

A wedding ring costs £13000. Work out the price after a 11% price increase.

Answers

Answer:

£ 14,430

Step-by-step explanation:

Costing Price = £13,000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14,430

Harriet has a square piece of paper she folds it in half to form a rectangle and then folds it in half again the perimeter of the second rectangle is 30cm

Answers

Answer:

area of the original square = 144 cm²

Step-by-step explanation:

You didn't include the whole question, but nonetheless this is the answer.

Take care. (:

Answer:

144 cm^2

Step-by-step explanation:

Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?

Answers

Combining like terms.

Answer:

Step-by-step explanation:Communative property.

∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.

Answers

Answer:

[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]

Step-by-step explanation:

Given:

The scale factor = 1.25 and rotated =45°

Length of side =5 units; , 4.2 units; and , 4 units respectively.

As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .

Therefore sides of the ∆ PQR is

[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]

Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]

What is the simplified form of the given expression?
(4.2 x 103)(2.6 x 104)
A. 1.092 x 106
OB.
B. 1.092 x 107
C.
1.092 x 108
D. 1.092 x 1012

Answers

Answer:option A

(4.2✖️10^3)(2.6✖️10^4)

4.2✖️2.6✖️10^3✖️10^4

10.92✖️10^3+4

10.92✖️10^7

10.92✖️10✖️10^6

1.092✖️10^6

Step-by-step explanation:

I hope this will help you:)

Answer:

1.092 x 10^8

Step-by-step explanation:

(4.2 x 10^3)(2.6 x 10^4)

Multiply the numbers

4.2* 2.6 =10.92

Add the exponents

10^3 * 10 ^4 = 10 ^(3+4) = 10^7

10.92 * 10^7

But this is not scientific notation, there can only be one digit in front of the decimal

Move the decimal one place to the left and add one to the exponent

1.092 * 10 ^(7+1)

1.092 x 10^8

a number between 891 and 909 that is divisible by 10

Answers

Answer:

[tex]900[/tex]

Step-by-step explanation:

[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]

A number between 891 and 909 that is divisible by 10 is 900

Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2

Answers

Answer:

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

Answer:

Step-by-step explanation:

the formula is

a + b > c

a+ c > b

b+ c > a

The answer is D because

given lenght(D answer) A=1 , B=1, C=2

Thus, follow the formula.

a+b>c

1+1>2 ❌

a+c>b

1+2>1 ✅

b+c>a

1+2>1 ✅

we know that a+b>c is wrong, so, it cant form a triangle

Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of

Answers

yes jxjfnsuspfjidheagdkhrsojieeidhj

Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra.
x + 3y= 4
3x+y = -2

Answers

Answer: Not a solution of the System

Step-by-step explanation:

Plug in 0 for x and 2 for y for both equations.

Note, if only one of the equations is a true statement

(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.

0+3(2)=4

3*2=6

0+6=6

6≠4

This was only the first equation but it was not true.

The equation is not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.

To determine graphically whether the ordered pair (0, 2) is a solution of the system of equations, we can plot the two equations on a graph. If the point (0, 2) lies on both lines, then it is a solution of the system.

The first equation is x + 3y = 4. To plot this equation, we can first solve for y:

y = -(1/3)x + 4/3

This equation has a slope of -1/3 and a y-intercept of 4/3. So, the line will rise 1 unit for every 3 units it moves to the left. The y-intercept is 4/3, so the line will pass through the point (0, 4/3). Three units to the left of (0, 4/3) is (-3, 7/3), so the line will also pass through this point.

The second equation is 3x + y = -2. To plot this equation, we can first solve for y:

y = -3x - 2

This equation has a slope of -3 and a y-intercept of -2. So, the line will fall 3 units for every 1 unit it moves to the right. The y-intercept is -2, so the line will pass through the point (0, -2). One unit to the right of (0, -2) is (1, -5), so the line will also pass through this point.

We can check this algebraically. Substituting (0, 2) into the first equation, we get:

0 + 3× 2 = 4

6 ≠ 4

This equation is not true, so (0, 2) is not a solution of the first equation. Substituting (0, 2) into the second equation, we get:

3 × 0 + 2 = -2

2 = -2

This equation is also not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.

Learn more about equation here: brainly.com/question/10724260

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a^2-b^2+4b-4 please solve it step by step i will mark you brainlest

Answers

Answer:

b = a + 2 or b = 2 - a

Step-by-step explanation:

Solve for b:

-4 + a^2 + 4 b - b^2 = 0

The left hand side factors into a product with two terms:

(2 + a - b) (-2 + a + b) = 0

Split into two equations:

2 + a - b = 0 or -2 + a + b = 0

Subtract a + 2 from both sides:

-b = -a - 2 or -2 + a + b = 0

Multiply both sides by -1:

b = a + 2 or -2 + a + b = 0

Subtract a - 2 from both sides:

Answer:

b = a + 2 or b = 2 - a

Which of the following choices are equivalent to the expression below ? √-27

Answers

Answer:

E. 3i√3

Step-by-step explanation:

√-27 is √27 times √-1

√-1 is i, so i√27

√27 = 3√3, and then we have:

3i√3 as our answer

What expression is equivalent to x2−x−6?

Answers

Answer:

[tex] - x + x 2 - 6[/tex]

that's it hope its helpful

The population of Happyland is 15.8 Happys per acre exactly 553 Happys live in Happyland how many acres is Happyland enter only a numerical value in the answer blank

Answers

Answer:

35 acres

Step-by-step explanation:

We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.

To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre

Mathematically, that would be 553/15.8 = 35 acres

Happyland have 35 acres of Land.

Given to us:

Population of Happyland = 553 Happys

Population of Happyland per acre = 15.8 Happys per acre,

Land with Happyland in acres:

[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}[/tex]

Putting in the value we get,

[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres[/tex]

Hence, Happyland have 35 acres of Land.

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https://brainly.com/question/13205439

Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)

Answers

Answer:

(-1, 5), (2, -1), (0, 3)

Solve for n.
11(n-1) + 35 = 3n
on=3

Answers

Answer:

n=-3

solution,

Answer:

CD = 7

Step-by-step explanation:

If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.

Answer:

Solution ⇒ 7

Step-by-step explanation:

Let us list the Given;

[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]

Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;

[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]

If we have to find the length of CD, given BD = 7 units;

[tex]CD = 7\\Conclusion, 7[/tex]

(5•5•5) • (5•5•5•5•5•5)

Answers

Answer:

1953125

Step-by-step explanation:

Step 1: Simplify

(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]

Step 2: Combine exponents

[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]

Step 3: Evaluate

[tex]5^9[/tex] = 1953125

Answer:

15750

Step-by-step explanation:

First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.

The fifth-grade classes at Harvest Elementary School had an apple-tasting party. They tasted red, yellow, and green apples. There were 130 apples at the party altogether. There were 3 times as many yellow apples as green apples. There were twice as many red apples as yellow apples. How many red apples were at the party?

Answers

Answer:

78 red apples

Step-by-step explanation:

Set up the equations

r + y + g = 130

y = 3g

r = 2y

If r = 2y and y = 3g, then r = 6g

Plug in the two equations, y = 3g, and r = 6g

6g + 3g + g = 130

10g = 130

Answer:

[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]

Option D is the correct option.

Solution,

[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]

hope this helps...

Good luck on your assignment...

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