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alina1380 [7]
1 year ago
12

(Pic above) In the figure above , O is the center of square. What is the area of the square?

Mathematics
1 answer:
azamat1 year ago
4 0
The answer is 64

- the side length of the square is 8 units
- area of square = a^2
- 8^2
- 64 :)
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An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta
Tom [10]
1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.


2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40


=> y = A (X + 40) (X - 40) = A (X^2 - 1600) 


3) The height, at X = 0 is 25

=> A(0 - 1600) = 25


=> -1600A = 25 => A = -25 / 1600 = - 1/64


4) The equation is y =  - [1/64] (X^2 - 1600)


5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

3) X^2 = - 64 (y - 25)
4 0
1 year ago
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.​
larisa [96]

Answer:

Step-by-step explanation:

2n+15>3

5 0
1 year ago
Read 2 more answers
If rounded to the nearest dime, what is the greatest amount of money the rounds to $105.40? What is the least amount of money th
NISA [10]
<span>The answer is: the least amount is 105.35 and the greatest amount is 105.44. If the number after the one you want to round is 5 or bigger, you need to round up the number. For instance, 105.35 is rounded to 105.4 which is equal to 105.40. If the number after the one you want to round is smaller than 5, you need to round down the number. For instance, 105.44 is rounded to 105.4 which is equal to 105.40.</span>
7 0
2 years ago
Two processes are used to produce forgings used in an aircraft wing assembly. Of 200 forgings selected from process 1, 10 do not
tangare [24]

Answer:

a.

\bar p_1=0.05\\\bar p_2=0.067

b-Check illustration  below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let p_1  \& p_2 denote processes 1 & 2.

For p_1: T1=10,n1=200

For p_2:T2=20,n2=300

Therefore

\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067

b. To test for hypothesis:-

i.

H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05

ii.For a two sample Proportion test

Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\

iii. for \frac{\alpha}{2}=(-1.96,+1.96) (0.5 alpha IS 0.025),

reject H_o if|Z|>1.96

iv. Do not reject H_o. The noncomforting proportions are not significantly different as calculated below:

z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}

z=-0.78

c.(1-\alpha).100\% for the p1-p2 is given as:

(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt   \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645  \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0
2 years ago
If one worker can assemble 9 products per hour, and another worker can assemble 6 products per hour, how long will it take them
leva [86]

Answer:

  3 hours 20 minutes

Step-by-step explanation:

Together, the workers can assemble 9 + 6 = 15 products per hour. So the assembly of 50 products will take ...

  (50 products)/(15 products/hour) = 50/15 hours = 3 1/3 hours

The two workers can assemble 50 products in 3 1/3 hours.

3 0
2 years ago
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