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exis [7]
3 years ago
10

(3_4sin²a) (sec²_4tan²a) =(3-tan²a)(1-4sin²a)​

Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

Being male and preferring brand A are independent.

Because: if independent then P(male and brand A) = P(male) P(brand A) = 0.48 * 0.75 = 0.36 and that is true (= value in the table)  

P(male|brand A)=0.36/0.75=0.48 = P(male)

So the two answers are:

(1) "independent"

(2) =

Still stuck? Get 1-on-1 help from an expert tutor now.

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You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.89 a p
ASHA 777 [7]

Answer:

   1. Going to the close store is cheaper.

Step-by-step explanation:

The difference in the prices of chicken is 3.19 -2.89 = 0.30 per pound, so for 5 pounds of chicken, the far store offers a price that totals 5×$0.30 = $1.50 less.

The difference in travel distances is 8.4 -2.4 = 6 miles, so the total round-trip distance difference is 12 miles. The cost of gas is ...

  ($3.81 /gal)/(23 mi/gal) = $0.1656 /mi

so the cost of gas for the 12-mile longer trip would be

  12×$0.1656 ≈ $1.99

Traveling to the far store, you would spend $1.99 more on gas to save $1.50 on the price of chicken. Going to the close store is cheaper.

3 0
3 years ago
Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.
Rasek [7]

Hi there!

Let's start by replacing "a number" by the letter "x" so that we can do an equation and isolate "x" to find your answer :

(x - \frac{3}{4}) + \frac{5}{4} = -7

subtract \frac{5}{4} on each side of the equation


x - \frac{3}{4} = -8.25

add \frac{3}{4} on each side of the equation

x = -7.5


-7.5 - 3/4 = -8.25

-8.25 + 5/4 = <u>-7</u>


So your answer is : Three-fourths was subtracted from -7.5, and then 5/4 was added to the result. The sum was -7.


There you go! I really hope this helped, if there's anything just let me know! :)



7 0
3 years ago
Tony's fish tank is a right rectangular prism 50 \,\text{cm}50cm50, space, c, m long by 25\, \text{cm}25cm25, space, c, m wide.
Svetlanka [38]
The volume of the prism is calculated by multiplying the length, L, width,W, and depth or height, H. 
                                 V = L x W x H
Fish tank:
                                V = 50 cm x 25 cm x 25 cm 
                                     = 31250 cm³
Depth of the water in tank (with castle - without castle)
                                   d = 57.5 cm - 48 cm = 9.5 cm
Volume of the caste: 
                                V = 9.5 cm x 50 cm x 25 cm = 11875 cm³
6 0
3 years ago
Write 14/25 29/50 53/100 13/20 and 3/5 in order from greatest to least
Alex73 [517]
13/20,3/5,29/50,14/25,53/100
7 0
3 years ago
SOLVED
Nastasia [14]
5)
a. The equation that describes the forces which act in the x-direction: 
<span>     Fx = 200 * cos 30 </span>
<span>
b. The equation which describes the forces which act in the y-direction: </span>
<span>     Fy = 200 * sin 30 </span>

<span>c. The x and y components of the force of tension: </span>
<span>    Tx = Fx = 200 * cos 30  </span>
<span>    Ty = Fy = 200 * sin 30 </span>

d.<span>Since desk does not budge, </span><span>frictional force = Fx
                                                                        = 200 * cos 30 </span>

<span>                                                 Normal force </span><span>= 50 * g - Fy
                                                                       = 50 g - 200 * sin 30 
</span>____________________________________________________________
6)<span> Let F_net = 0</span>
a. The equation that describes the forces which act in the x-direction: 
    (200N)cos(30) - F_s = 0

b. The equation that describes the forces which act in the y-direction:
    F_N - (200N)sin(30) - mg = 0

c. The values of friction and normal forces will be:
     Friction force= (200N)cos(30),
     
The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N

Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N
4 0
3 years ago
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