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koban [17]
3 years ago
8

What is the standard form for 85 million 16 thousand twelve

Mathematics
1 answer:
erastova [34]3 years ago
5 0
Standard form of given question :8.5016012×10^7
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If each 6 in. On the scale drawing below equals 3 feet, what is the actual area of the shape in square units?
Liono4ka [1.6K]

Answer:

32 ft²

Step-by-step explanation:

Assuming the diagram attached below similar to the one required to complete the question below.

From the diagram,

Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)

A = bh.......................... Equation 1

From the question,

If each 6 in on the scale drawing equals 3 feet

Given:

base on the scale drawing = 8 in.

Actual base(b) = (8×3)/6 = 4 feet.

Height on the scale drawing = 16 in

Actual height(h) = (16×3)/6 = 8 feet.

Substitute these values into equation 1

A = 4×8

A = 32 ft²

Hence the actual area of the shape is 32 ft²

4 0
3 years ago
(x^4)^2 perform the indicated operation
erica [24]

Answer:

x^8

Step-by-step explanation:

Since you are doing x^4 squared, you have to multiply the exponents.

4 * 2 = 8

x^8

8 0
3 years ago
Read 2 more answers
A starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with proba
GuDViN [60]

Answer:

0.095163

Step-by-step explanation:

given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999

Here we find that for any start, there are exactly two outcomes either success or failure.

Also each start is independent of the other since p = 0.99999 for succss is given constant.

Thus X no of successes is binomial with p = 0.99999 and n =10000

If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000

Required probability

= the probability of at least one failure in the next 10,000 starts

= 1-P(no failure in 10000 starts)

=1-(0.99999)^{10000} \\=0.095163

4 0
3 years ago
a plant is already 15.25 meters tall and it will grow 20 centimeters every month the plants height h(in meters) after x months i
Lapatulllka [165]

Answer:

H= 121.25 meters

Step-by-step explanation:

To find the value of H after 30 months given the equation H=0.20x+115.25,

replace x by 30 in the equation and solve;

H=(0.20*30)+115.25

H=6+115.25

H= 121.25 meters

Therefore, the height will be 121.25 meters

6 0
3 years ago
Suppose the lengths, in seconds, of the songs in an online database are normally distributed. For a random sample of songs, the
sattari [20]

Answer:

186

Step-by-step explanation:

The sample mean, x, is the central value in the confidence interval, that is, the average between the upper and lower bounds of the interval.

In this case, the Lower bound is 184.00 and the upper bound is 188.00. Therefore, the sample mean is given by:

x = \frac{184+188}{2}\\x=186.00

The mean length, in seconds, of the sampled songs is 186.00.

5 0
3 years ago
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