The sum of two numbers is 59. The larger number minus the smaller number is 3. Find the numbers.

Answer: 3 hours

Step-by-step explanation:

195/65=3

Answer:

3

Step-by-step explanation:

$195 divided by $65 is 3 hours of work

Answer:

The probability of pulling out a blue marble is 33.3%.

Step-by-step explanation:

Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:

28 - 1 = 27

9/27 = X

0.333 = X

0.333 = 33.3%

Therefore, the probability of pulling out a blue marble is 33.3%.

Answer:

(b-3)(b+3)

Step-by-step explanation:

b^2+3b-3b-9

Answer:

The ranking of the top three teams could occur in 720 ways.

Step-by-step explanation:

The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In how many ways could the ranking of the top three teams occur?

Three teams from a set of 10. So

[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]

The ranking of the top three teams could occur in 720 ways.

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Required volume=352π or 1105.84in³

Answer:

solution given.:

radius of outer rim[R]=5in

radius of inner rim[r]=3in

height[h]=22in

we have

volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)

=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³

Answer:648

Step-by-step explanation:

V=a2h

3=92·24

3=648

Answer:

648 in.^3

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(9 in.)^2(24 in.)

V = 648 in.^3

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].

Step-by-step explanation:

Area of a circle = πr²

r = 6 mm (given)

Area = π(6)² = 36π mm².

Answer:

area if circle =πr²=π6²=36πmm²

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Answer:

the length will be 9cm because a square has equal sides it not the same as the rectangle

Answer:

A. n=10

Step-by-step explanation:

your welcome

Answer:

n=100

Step-by-step explanation:

In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000?     That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.

Answer: 17 or -18

Step-by-step explanation:

x^2+x=306

x^2+x-306=0

(x-17)(x+18)=0

x-17=0

x=17

x+18=0

x=-18

..i think this is the right answer

Answer:

36

Step-by-step explanation:

3*4^(2) - (4*18)/(6)

Answer:

-4is the answer of this question

Step-by-step explanation:

=3*42-4*18

=-4

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

Step(i):-

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

                              y = a ( x-h)² +k

The equation

                          y = 4 ( x + 7 )² - 4

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

Final answer:-

The vertex of the parabola  = (-7 , -4)  

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

60292138333920306000

Step-by-step explanation:

Answer:

so G=1.19323671498

Answer:

the volunteers who assess the stains

Step-by-step explanation:

Hope this helps

Answer:

the types of detergent i think

Step-by-step explanation:

Answer: first one is “I’ll be fine”

second one is “On God”

third one is “Rich and Blind”

Answer:

Read below :)

Step-by-step explanation:

Take 75 / 15. Then in that many times, they will meet again. The answer is 75/15 = 5, so at 7:15 AM , they will meet again. Think of this like Chemistry. There is a restricting reactant and a non restrictive reactant. If you have 200 slices of bread, and 150 slices of cheese, the bread could only support 100 sandwiches. You'd have 50 slices of cheese left over. So the bread is the restrictive, or, in this case, 75, and the cheese is the non-restrictive number, or, 15. Hope this helps :)

ANSWER IN THE SECOND SENTENCE. Please read to be able to answer the following problems

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

reflection reflection

Step-by-step explanation:

rotation doesn't make sense and there is no indication of a center of rotation.

so the obvious answer is reflection reflection

Answer:

318-320

4271-4270

18293-18290

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

Answer:

47.05

Step-by-step explanation:

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