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Nat2105 [25]
2 years ago
10

Elise has 3/4 of a dollar. She buys a stamp that costs 44 cents. Change both numbers in decimals. How much money does Elise have

after playing for the stamp?
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

$3/4 = $0.75

44¢ = $0.44

$0.75 - $0.44 = $0.31

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(a+b)(a²-ab+b²)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)


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2 years ago
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A company produces precision 1 meter (1000 mm) rulers. the actual distribution of lengths of the rulers produced by this company
pogonyaev

Let X be the length of rulers. X follows Normal distribution with mean μ and standard deviation σ = 0.02. A sample of size n=4 is drawn from population and sample mean m=1000. We have to find 90% confidence interval for population mean μ.

Here population standard deviation is given to us so we will use z confidence interval for mean. It is given as

(Sample mean - Margin of error , Sample mean + Margin of error)

Where margin of error for z confidence interval is

ME = σ \frac{z_{\alpha/2}}{\sqrt{n}}

Where σ = population standard deviation = 0.02

n= sample size =4

z_{\alpha/2} = Critical z score value for given confidence level

We have to find here 90% confidence interval so confidence level c= 0.9

α = 1 -c =1-0.9 = 0.1

z_{\alpha/2} = z_{0.1/2} = z_{0.05}

Here we have to find z score value such that area below it is -z is 0.05 and above z is 0.05

Using excel function to find z score value

=NORM.S.INV(0.05) = -1.645

For calculating confidence interval we consider positive z score value which is 1.645

So the margin of error is

ME = \frac{0.02 * 1.645}{\sqrt{4}}

ME = 0.01645

90% confidence interval for mean is

(Sample mean - ME, Sample mean+ME)

1000- 0.01645, 1000+0.01645

(1000.01645, 999.9836)

Rounding interval upto 3 decimal places

(1000.016, 999.984)

90% confidence interval for population mean is (1000.016, 999.984)

7 0
2 years ago
Tonia and Trinny are twins.Their friends give them identical cakes for their birthday.Tonia eats 1/8 of her cake and Trinny eats
Licemer1 [7]

Answer: 7 over 24 I think so! Sorry I didn’t reduce

Step-by-step explanation:

5 0
2 years ago
Use complete sentences to explain the relationship between tan 5pi/4 and tan pi/4. In your answer, reference specific values on
Kisachek [45]
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.

5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant. 

So you are talking about one two angles that are in the first and third quadrants.

Step One
Find the Tangent of pi/4 using the unit circle as a reference.

Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)

That is the point where the opposite / adjacent = 0.707/0.707 = 1

Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)

 
8 0
2 years ago
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,
Andrej [43]

Answer:

A. $18

B. $200

C. p\in (16,20)

Step-by-step explanation:

Function:

f(p) = -50p^2 + 1,800p - 16,000

<u>Parts A and B:</u>

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200

The price that generates the maximum profit is $18

The maximum profit is $200

<u>Part C:</u>

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all p\in (16,20), so the positive profit is for p\in (16,20)

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

7 0
2 years ago
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