36,815 to the nearest hundred

Answer:

3 11/15

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.

The new equation is: 1 5/15 + 2 6/15.

1 5/15 + 2 6/15 = 3 11/15.

hope this helps :)

Answer: 900ml

Step-by-step explanation:

Recipe serves 4

Invited guests is 24 which is 6 x the recipe

6 x 150ml = 900ml

A quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

We have Lynn needs to cater for 24 people.

Assume that she intents to make [x] pancakes for each individual. And, in order to make 1 pancake, [y] liters of milk is needed. So, for a total of 24 people, she will make (24x) pancakes, that will need -

A{milk} = 24xy

Therefore, a quantity of (24xy) liters amount of milk is needed to cater 24 peoples.

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Complete Question

Find a formula for the sum of n terms.   [tex]\sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )[/tex]

Use the formula to find the limit as [tex]n \to \infty[/tex]

Answer:

   [tex]K_n = \frac{n + 73 }{n}[/tex]

  [tex]\lim_{n \to \infty} K_n = 1[/tex]

Step-by-step explanation:

     So let assume that

                  [tex]K_n = \sum\limits_{i=1}^n ( 8 + \frac{i}{n} )(\frac{2}{n} )[/tex]

=>             [tex]K_n = \sum\limits_{i=1}^n ( \frac{16}{n} + \frac{2i}{n^2} )[/tex]

=>              [tex]K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)[/tex]

Generally  

         [tex]\sum\limits_{i=1}^n (k) = \frac{1}{2} n (n + 1)[/tex]

So  

      [tex]\sum\limits_{i=1}^n (8) = \frac{1}{2} * 8* (8 + 1)[/tex]

      [tex]\sum\limits_{i=1}^n (8) = 36[/tex]

[tex]K_n = \frac{2}{n} \sum\limits_{i=1}^n (8) + \frac{2}{n^2} \sum\limits_{i=1}^n(i)[/tex]  

and  

  [tex]\sum\limits_{i=1}^n (i) = \frac{1}{2} n (n + 1)[/tex]

  Therefore

         [tex]K_n = \frac{72}{n} + \frac{2}{n^2} * \frac{1}{2} n (n + 1 )[/tex]

         [tex]K_n = \frac{72}{n} + \frac{1}{n} (n + 1 )[/tex]

         [tex]K_n = \frac{72}{n} + 1 + \frac{1}{n}[/tex]

        [tex]K_n = \frac{72 + 1 + n }{n}[/tex]

        [tex]K_n = \frac{n + 73 }{n}[/tex]

Now  [tex]\lim_{n \to \infty} K_n = \lim_{n \to \infty} [\frac{n + 73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [\frac{n}{n} + \frac{73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 + \frac{73 }{n} ][/tex]

=>     [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = \lim_{n \to \infty} [1 ] + \lim_{n \to \infty} [\frac{73 }{n} ][/tex]

=>    [tex]\lim_{n \to \infty} [\frac{n + 73 }{n} ] = 1 + 0[/tex]

Therefore

      [tex]\lim_{n \to \infty} K_n = 1[/tex]

Answer:

The height of the flag was 3 feet.

Step-by-step explanation:

To solve this problem, we must first recall the formula for area of a rectangle to be:

Area = base * height

Next, we can substitute in the values that we were given in the problem.  We were told that the area was 27 square feet and the base was 9 feet.

27 = 9 * height

Now we can treat this equation that we have created similar to any other equation we would like to solve.  We must solve for the unknown, or the variable, which in this case is the height.  To do this, we should divide both sides by 9 to get the "height" variable by itself on the right side of the equation.  This is modeled below:

27/9 = (9 * height)/9

3 = height

Therefore, the height of the flag was 3 feet.

Hope this helps!

Answer:

The height is 3,

Step-by-step explanation:

First up, if we know the B in the B*H=A formula, we can divide the area by the base (27/9) and get the height, 3.

I too am learning this. The thing is you want to do a reverse order. For example, 2*3=6; so automatically we would know that 6/3=2.

Hope this has helped!

:)

Step-by-step explanation:

[tex] \frac{ \sin(3A) + \sin(A) }{2 \sin(2A) } [/tex]

Using the trigonometric identity

[tex] \sin(x) + \sin(y) = 2 \sin( \frac{x + y}{2} ) \cos( \frac{x - y}{2} ) [/tex]

Rewrite the expression

We have

[tex] \frac{2 \sin(2A) \cos(A) }{2 \sin(2A) } [/tex]

Reduce the fraction with 2

That's

[tex] \frac{ \sin(2A) \cos(A) }{ \sin(2A) } [/tex]

Reduce the fraction with sin 2A

We have the final answer as

As proven

Hope this helps you

Answer:

y = 1

Step-by-step explanation:

y - 3 = 7 (y - 9/7)

y - 3 = 7*y + 7*-9/7

y - 3 = 7y - 9

y - 7y = 3 - 9

-6y = -6

y = -6/-6

y = 1

probe:

1 - 3 = 7(1 - 9/7)

-2 = 7*-2/7

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -6 , 3 ) ⇒ ( x₁ , y₁ )

B ( -7 , -4 )⇒ ( x₂ , y₂ )

Now, let's find the slope:

[tex] \mathsf{\frac{y2 - y1}{x2 - x1}}[/tex]

Plug the values

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 - ( - 6)} }[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

⇒[tex] \mathsf{ \frac{ - 4 - 3}{ - 7 + 6}} [/tex]

Calculate

⇒[tex] \mathsf{ \frac{ - 7}{ - 1} }[/tex]

Any expression divided by -1 equals it's opposite

⇒[tex] \mathsf{7}[/tex]

Hope I helped!

Best regards!!

Answer:

Estimate: 90

Quotient: 95

Remainder: 8/59

Step-by-step explanation:

Step-by-step explanation:

The ratio of Ali mass to Williams mass is

6 : 3

= 2 : 1

Option 2 is the correct answer

Answer:

2 and 10

Step-by-step explanation:

Let x be length of the small piece and y the length of the big one.

● y = 5x

Since the big piece is 5 times longer than the short one.

The total length is 12 ft

● y + x = 12

● 5x + x = 12

● 6x = 12

Divide both sides by 6

● 6x/6 = 12/6

● x = 2

So the length of the two pieces are 2 ft and 10 ft (5×2)

The length of each piece is 2 units and 10 units.

To know how times a number is to another just divide the larger number to the smaller number.

According to the given question a 12 foot board is cut so that one piece is 5 times as long as the other.

Assuming one piece to be x and the other to be 5x.

∴ x + 5x = 12

   6x = 12

     x = 2.

So, one piece is of 2 units and other piece is of 5(2) = 10 units.

To confirm that one piece is of 5 times of the other we divide the larger piece by the smaller piece which is 10/2 = 5.

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Answer:

Step-by-step explanation:

[tex]Mass = 50kg\\Acceleration = 5m/sec\\Force = ?\\\\Force = Mass\times acceleration\\\\Force = 50\times 5\\\\ Force = 250\: joules \: or \:250kgm/s[/tex]

Answer:

We will fail to reject the null hypothesis and conclude that there is sufficient evidence not to support the researchers claim.

Step-by-step explanation:

We are given;

Population proportion; p = 68% = 0.68

Sample proportion; p^ = 93/144 = 0.6548

n = 144

The hypotheses are:

Null hypothesis;H0: p = 0.68

Alternative hypothesis;Ha: p ≠ 0.68

np = 144 × 0.6548 > 5 and nq = n(1 - p) = 144(1 - 0.68) > 5.

Since np and nq are more than 5, we can use the z-test .

z-formula in this case is;

z = (p^ - p)/√(p(1 - p))

Plugging in the relevant values, we have;

z = (0.6548 - 0.68)/√(0.68(1 - 0.6548))

z = -0.0252/0.4845

z = -0.052

From the z-table attached, we have a p-value of approximately 0.4801

P-value is higher than the significance level of 0.01.

Thus,we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the researchers claim.

Answer:

-3x-3=-3(x+1)

opening the bracket and collecting like terms, we have

-3x+3x=-1+3

thus, no solution

Answer:

x = 6

Step-by-step explanation:

x² - 12x + 36 ≤ 0

(x - 6)(x - 6) ≤ 0

(x - 6)² ≤ 0

x - 6 = 0

x = 6

es el único valor que cumple la condición, cualquier otro sera mayor que 0

-Taxable wages & tips subject to Additional Medicare Tax withholding Total Advances Received From Filing Form(s) 7200 for the Quarter · 13g. Your Form 941 is due by the last day of the month that follows the end of the quarter

Step-by-step explanation:

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI  = (999/499) × 100

CPI  = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

so

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

Answer:

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

Step-by-step explanation:

For n=6  the degrees of freedom will be n-1 = 5 .

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

The critical region depends on ∝ and the alternative hypothesis

a) When Ha is σ²≠σ² the critical region is

χ²  < χ²(1-∝/2)(n-1) and  χ² > χ²(1-∝/2)(n-1)   Two tailed test

( χ²  < 0.83) and ( χ²  > 0.83)

b) When Ha is σ²> σ² the critical region falls in the right tail and its value is

 χ² > χ²(∝)(n-1)   One tailed test  {11.07  (One tailed test )}

c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value  

χ²(1-∝)(n-1)  One tailed test  (1.145)

Answer:

the newsar si evsenyt esventy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello, let's compute the first lines of the Pascal's triangle.

1

1 1

1 2 1

1 3 3 1

So for this question,

[tex](a+b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

And then, the correct answer is A.

Thank you

Using pascals triangle coefficients of the expanded polynomial (a + b )³ is  1  3  3  1. Option A is correct

it is the array(in triangle form) of numbers, starting with 1 on the uvertexvetex and with 1's tending down to the two sides of a triangle. Each number lies between two numbers and down to them, and every value is the addition of the two numbers present at the above adjacent.

( a + b )³ = a³ + 3 a² b + 3 b² a + b³

Pascal's triangle =
              1
       1     2     1
  1       3     3      1  
1      4      6      4    1  
and so on
From the above triangle, it represents ( a + b )^n  where every number represents the coefficient. As for the given question the n = 3 so the third row in the pascal triangle i.e. coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

Thus, the coefficients of the expanded polynomial ( a + b )³ is  1  3  3  1.

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Answer: 41.665

Step-by-step explanation:

5/6 as a percent is 83.33.

83.33 divided by 2 equals 41.665.

So, the answer is 41.665.

Hope this helps!

Answer: 0.4166667

Explanation: Make 5/6 to 0.8333. Divide the decimal by 2.

Hope it helps!

lovelymoonlight

Answer: $1489.23 is the amount Mr. Leonard must pay to the agency, which is 22% of his 4-week salary of $6769.24.

This is assuming Mr. Davis and Mr. Leonard are the same person.

Fill in the blank answers: $88,000. $1692.31. $6769.24. $1489.23.

Answer:

a. x=80

b. x=30

Step-by-step explanation:

Use the exterior angle theorem: as shown in the picture

# a

25+x=105

     x=80

#b

2x+(3x+2)=152

       5x+2=152

          5x=150

            x=30

Answer:

I think B or C I'm not sure but I hope this helps!

Step-by-step explanation:

Answer:

332*14.4% = 332*.144 = 47.808

The correct answer is C. Q, R (rational, real numbers)

Explanation:

The number [tex]\frac{25}{11}[/tex] is a fraction, which means it represents proportions of a whole. This number can be classified as rational, which is represented by the letter Q because this category of numbers includes those numbers that can be represented as a fraction and the number provided is naturally a fraction. Moreover, this number is also a real number, which is a broad category of numbers represented by the letter R that includes rational numbers such as fractions. This means this number is rational and because of this, it is also real.

On the other hand, this number is not natural because this includes regular numbers such as 3, 43, or 3947 but not fractions, and it is not a whole number because a fraction does not represent a whole number but just a proportion.

Answer:

1/3

Step-by-step explanation:

When simplifying the expression and x - 2 is eliminated there will be 1/3 left not 3

The question is not complete, so i have attached it.

Answer:

A) Option B: μ ≤ 19,000

B) Option C:

H0: μ ≤ 19,000

Ha: μ > 19,000

C) Option D: The null hypothesis H0: μ ≤ 19,000 is the claim

Step-by-step explanation:

A) From the question, we are told that an amusement park claims that the mean daily attendence at the park is at most 19,000 people.

Now, since it's at most 19000 people, it means that they are either 19000 or less. So the claim is;

μ ≤ 19,000 which is option B

B) Now, the claim is usually the null hypothesis. Thus, the null hypothesis is;

H0: μ ≤ 19,000

While the alternative hypothesis which states the opposite of the claim is;

Ha: μ > 19,000

So, option C is the correct answer

C) The claim is μ ≤ 19,000

Now, this also happens to be the null hypothesis.

Thus, the null hypothesis H0: μ ≤ 19,000 is the claim.

So option D is correct.