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
Nitella [24]
2 years ago
11

A weather report said there is a 60% chance of rain on Monday, and a 30% chance of rain on Tuesday. Based on the report, what is

the chance it will rain on both days?
Mathematics
1 answer:
sergey [27]2 years ago
5 0

Answer:

The answer is 18 percent, or 9/50.

Step-by-step explanation:

We first convert the chance of rain on Monday into a fraction.

60%=60/100=3/5.

We then convert the chance of rain on Tuesday into a fraction.

30%=30/100=3/10.

Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:

3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)

You might be interested in
Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no lar
AURORKA [14]

Answer:

0.101

Step-by-step explanation:

Given that :

Standard deviation, s = 0.2

Sample variance, s² = 0.0653

Sample size, n = 10

Population variance = σ² = 0.04

We use the Chi square distribution :

(n - 1)s² / σ²

For P(s² ≥ 0.065)

(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04

(n - 1)s² / σ² = 0.585 / 0.04 = 14.625

P(s² ≥ 14.625) = 0.101 ( chi squee calculator).

8 0
3 years ago
Three numbers have an average of 15. If two of the numbers are 10 and 12, then what is the other number?
AveGali [126]

Answer:

Step-by-step explanation:

(12+10+x)/3=15

15*3=12+10+x

45-12-20=x

X=23

3 0
2 years ago
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
posledela
Let's call x1: The rate per hour of the number one mechanic. X2: The rate per hour of mechanic number two. The first thing you should do is identify the system of equations that best describes the problem. In this case it is a system of 2 equations with two unknowns which when solved gives a total of x1 = 85 $ / h and x2 = 50 $ / h. Attached solution.

5 0
3 years ago
Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle
Ronch [10]

Answer:

A. Area = \frac{1}{2}(2x^2 - 2x - 24)

B. Area = 3.75 in^2

Step-by-step explanation:

A. Area = \frac{1}{2}bh

Where,

b = 2x + 6

h = x - 4

Plug in the values to get a polynomial that represents the area of the tool

Area = \frac{1}{2}(2x + 6)(x - 4)

Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)

Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)

Area = \frac{1}{2}(2x^2 - 2x - 24)

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)

Area = \frac{1}{2}(2(20.25) - 9 - 24)

Area = \frac{1}{2}(40.5 - 9 - 24)

Area = \frac{1}{2}(7.5)

Area = 3.75 in^2

8 0
4 years ago
Describe how the variability of the distribution changes as the sample size increases. As the sample size increases, the variabi
wolverine [178]

Answer:

As the sample size increases, the variability decreases.

Step-by-step explanation:

Variability is the measure of actual entries from mean.  The less the deviations the less would be the variance.

For a sample  of size n, we have by central limit theorem the mean of sample follows a normal distribution for random samples of large size.

X bar will have std deviation as \frac{s}{\sqrt{n} }

where s is the square root of variance of sample

Thus we find the variability denoted by std deviation is inversely proportion of square root of sample size.

Hence as sample size increases, std error decreases.

As the sample size increases, the variability decreases.

7 0
3 years ago
Other questions:
  • The chart describes four situations involving financial responsibility. Financial Responsibility Person Financial Decisions Hall
    12·2 answers
  • Help me please<br> Its math
    15·2 answers
  • If $55 of a $220 budget is spent on clothes, what percent of the budget is spent on clothes?
    10·1 answer
  • Dexter paid $74.94 for 201⁄5 gallons of gas. What is the price of gas where Dexter filled up his vehicle?
    13·1 answer
  • Which conic section does the equation below describe?<br> (y-1)^2=8(x+3)
    7·1 answer
  • 5x + 4x +1 need answer for this can anyone help?
    9·2 answers
  • Find the equation of the line below.
    10·2 answers
  • Express 0.0000429 in scientific notation
    5·2 answers
  • an airplane travels at a rate of 250 miles/he with the wind and at a rate of 150 miles against the wind. what is the rate of the
    13·1 answer
  • Find a8 of the sequence 10,9.75,9.5,9.25,
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!