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coldgirl [10]
3 years ago
13

19. A spherical balloon has a circumference of 19cm. what is the approximate surface area of the balloon to the nearest square c

entimeter?
A) 114 cm^2
B) 460 cm^2
C) 361 cm^2
D) 1,134 cm^2
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0
The main formula of a spherical surface area is SA= 4 x Pi x r²
the circumference is C= 19cm =2 Pi r, so r = C/ 2Pi = 19 / 6.28 =3.02cm
so the surface area can be found by computing
SA= 4x 3.14x 3.02² =114.5, the nearest square centimeter is <span>A) 114 cm^2</span>
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A new surgical procedure is said to be successful 60% of the time. Suppose the operation is performed five times and the results
USPshnik [31]

Answer:

0.07776, 0.3456,0.08704

Step-by-step explanation:

Given that a new surgical procedure is said to be successful 60% of the time

Let X be the no of successes

Then X has only two outcomes and each trial is independent of the other

Hence X is binomial with p = prob of success in a single trial = 0.60

n = Number of operations performed = 5

Prob that

a) all five operations are successful =

P(X=5)\\= (0.6)^5\\=0.07776

(b) exactly three are successful

=P(X=3) = 5C3 (0.6)^3(0.4)^2\\= 0.3456

(c) less than two are successful

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3 0
2 years ago
Solve:<br> – 8 = -m<br> 2m<br> + 10
sukhopar [10]

Answer:

m = -18

Step-by-step explanation:

<u>Step 1:  Combine like terms</u>

-8 = -m + 2m + 10

-8 = m + 10

<u>Step 2:  Subtract 10 from both sides</u>

-8 - 10 = m + 10 - 10

-18 = m

Answer:  m = -18

6 0
3 years ago
Northwest Molded molds plastic handles with a variable cost of $1.00 per handle. The fixed cost to run the molding machine is $2
ASHA 777 [7]

Answer:

To break even it  must be molded 1280 handles weekly.

The profit if 1500 handles are produced and sold is $440

Step-by-step explanation:

To break even, the amount of total cost must be the same as the amount of revenues.  

Total Cost is Fixed cost plus unitary variable cost multiplied by the produce quantity.  

Total cost= FC + vc*Q

Where

FC=Fixed cost

vc=unitary variable cos

Q=produce quantity

Revenue= Price * Q

Break even FC + vc*Q=Price * Q

Isolating Q

FC=(Price * Q)-(vc*Q)

FC=(Price-vc) * Q

Q= FC/(Price-vc)

Q= $2560/($3.00-$1.00)=1280

If we sold 1500 handles

Profit = Revenue- Total cost =(Price * Q)-(FC + vc*Q)

P=$3.00 *1500-$2560 - $1.00*1500=

P=$4500-$2560-$1500=440

8 0
3 years ago
What is 4 radical 3 divided by 2?
Arte-miy333 [17]
3/2 = 6 
6/4= 6/40= 6 .999= ~ 7
5 0
2 years ago
Is 88,490,144 divisible by 9?
Vlad [161]

Answer:

No

Step-by-step explanation:

The sum of the digits is 40 which is not divisible by 9, so it is not divisible by 9

3 0
2 years ago
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