1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mars2501 [29]
3 years ago
14

A leak in a water tank causes the water level to decrease by 3.6×10−23.6×10−2 millimeters each second. About how many millimeter

s does the water level in the tank decrease in 5 hours, or 1.8×1041.8×104 seconds? Drag and drop the values to the boxes to express the answer in scientific notation.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer: 6.48 \times 10^2

Step-by-step explanation:

Since, According to the question,

The leak in a water tank causes the water level to decrease by  3.6\times 10^{-2} millimeter

That is , in 1 second it decreases 3.6\times 10^{-2} mm

⇒ In 1.8\times 10^4 seconds it will decrease  3.6\times 10^{-2}\times 1.8\times 10^4 mm

⇒ In 1.8\times 10^4 seconds it will decrease  6.48\times 10^{2} mm


You might be interested in
6.8 Use the Normal approximation. Suppose we toss a fair coin 100 times. Use the Normal approximation to find the probability th
Maru [420]

Answer:

(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.

(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

Step-by-step explanation:

Let <em>X</em> = number of heads.

The probability that a head occurs in a toss of a coin is, <em>p</em> = 0.50.

The coin was tossed <em>n</em> = 100 times.

A random toss's result is independent of the other tosses.

The random variable <em>X</em> follows a Binomial distribution with parameters n = 100 and <em>p</em> = 0.50.

But the sample selected is too large and the probability of success is 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of \hat p<em> </em>(sample proportion of <em>X</em>) if the following conditions are satisfied:

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=100\times 0.50=50>10\\n(1-p)=100\times (1-0.50)=50>10

Thus, a Normal approximation to binomial can be applied.

So,  \hat p\sim N(p,\ \frac{p(1-p)}{n})

\mu_{p}=p=0.50\\\sigma_{p}=\sqrt{\frac{p(1-p)}{n}}=0.05

(a)

Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:

P(0.30

                              =P(-4

Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.

(b)

Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:

P(0.40

                              =P(-2

Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

6 0
3 years ago
1.Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
Aleonysh [2.5K]
No because x3•x3•x3= 27x³ and x3•3•3=27x
7 0
3 years ago
Read 2 more answers
A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped
5 0
3 years ago
Find an expression that is equivalent to 1 - 1/3 + 1/5 . Use denominator of 15 . plz help
love history [14]
1 - 5/15 + 3/15
Just use common denominators!
Hope that helped. :)
3 0
3 years ago
The area of the top face of a cube is 49cm^3. What is the volume of th cube?​
Vlad1618 [11]

Answer:

V=2401cm^{3}

Step-by-step explanation:

The fact that the figure is a cube means all sides, faces, and corners are equal.

V=BHW

V=49cm^{2}(W)

V=49cm^{2}(49cm)\\ V=2401cm^{3}

3 0
3 years ago
Other questions:
  • I need help with this question
    9·1 answer
  • What is the approximate uncertainty in the area of a circle of radius 3.1×104cm? Express your answer using one significant figur
    14·1 answer
  • The sales of Paul's prints decreased by 22% when Pauline's paintings came on the market. Before that Paul's profits were at $560
    12·2 answers
  • HELP AGIAN PLEASE<br> THANK YOU AGIAN!!
    5·2 answers
  • Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 14 mph, and ship B sails east at 18 mph.
    12·1 answer
  • A baker mixes a 21-pound batch of dough that contains 3 pounds of sugar. Approximately how many pounds of sugar must be added fo
    8·1 answer
  • The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? *
    8·1 answer
  • According to Damian's trail mix recipe, 2 cups of dried fruit should be used for 3 1/2 cups of salted nuts.At this rate, how man
    12·2 answers
  • Help me please I need help
    15·1 answer
  • a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!