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UkoKoshka [18]
3 years ago
14

Please Please Please help me in this assignment write a word problem related to finding consecutive integers, the picture is inc

luded.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
Hello,

Shall we begin?


x + 2 ( x + 2 ) = 16
x + 2x + 4 = 16
3x = 16 - 4
3x = 12
x = 12/3
x = 4

<span>Answers: x = 4</span>
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A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

5 0
3 years ago
What is the y-intercept of the function f(x)=4 - 5x?<br> -5<br> -4<br> 4<br> 5
Len [333]

Answer:

4

Step-by-step explanation: Its  4 becuase you plug in the zero like this'

f(x)=4-5(0)

f(0)=4-0

f(0)=4

So it will (0,4)

3 0
2 years ago
gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to wo
olganol [36]
We calculate for the taxable income by subtracting the tax free allowance from the gross income.

          Taxable income = Gross income - tax free allowanc
           Taxable income = (£12,000 - <span>£6,475)
                                    = </span><span>£5,525

Hence, the taxable income is equal to </span><span>£5,525.

Net income: 
This would be equal to the gross income minus the amount of taxes to be paid.
 
                 Net income = Gross income - amount of tax to be paid
                 Net income = (</span><span>£12,000) - (0.20)($5,525)
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Therefore,
         ANSWER: <em>$10,895</em></span>
5 0
3 years ago
Find the perimeter of a triangle with sides 2x - 3y, x2 + y and 2x + y units
Lesechka [4]
Perimeter = (2x -3y) + (x² + 7) + (2x + y)
Perimeter = 2x -3y + x² + 7 + 2x + y
Perimeter = x² + 4x - 2y + 7

------------------------------------
Answer: 
x² + 4x - 2y + 7
------------------------------------
8 0
3 years ago
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