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
Natali5045456 [20]
3 years ago
6

A Family has five children . The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 bo

ys? Round to the nearest thousands.
Mathematics
1 answer:
NeTakaya3 years ago
4 0
Probability of having a girl: 1/2
Probability of having another girl right after: 1/2
Probability of having a boy right after: 1/2
Then another boy: 1/2
And a third boy: 1/2

To find compound probabilities, just multiply them together.

\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{2*2*2*2*2} =\frac{1}{32} = \boxed{0.031}\ in\ decimal\ form
You might be interested in
8. Use mental math to multiply. a) 235 times 0.1, b) 235 times 0.01, c) 876 times 0.01, d) 876 times 0.001,
lys-0071 [83]

Step-by-step explanation:

235•0.1=23.5

235•0.01=2.35

876•0.01=87.6

876•0.001=8.76

7 0
2 years ago
The point T (-3,-3) is translated 5 units right and 9 units up. What are the coordinates of the resulting point T?
Nadusha1986 [10]
The coordinates are (2, 6)
6 0
2 years ago
Read 2 more answers
The sum of the measures of 2 angles is 90o. Angle C is 34o. Angle G is (3x-4)o. What is the value of x?
iragen [17]

Answer:

d if "in2" means /2

Step-by-step explanation:

3x-4<u>=</u><u>9</u><u>0</u><u>-</u><u>3</u><u>4</u>

7 0
2 years ago
Which if the following is the equation of a line that passes through the points (2,5) and (4,3)
Taya2010 [7]
Hi there!

First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).

S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1

Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.

(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7

(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7

The two equations came out the same! Which is completely okay, and happens sometimes. 

Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!


3 0
3 years ago
A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

Now we have everything in order to replace into formula (1):

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
Other questions:
  • How do you graph a complex number and calculate the modules?
    14·1 answer
  • The median number of students in each music class is 19 people. 16,__,24,17,20,21 What should be the number in the blank?
    6·1 answer
  • There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are
    11·1 answer
  • find the volume of a rectangular prism fish tank with base lengths of 10 and 8 inches, and a height of 10 inches.
    8·1 answer
  • 5/8x + 4 = 3/8x + 12
    7·1 answer
  • C
    11·1 answer
  • The cheerleading squad at Danville High School had 15 members with the old coach. Now, with the new coach, there are 21 members
    6·1 answer
  • What does point P tell you about the situation
    13·1 answer
  • Calculate the area of this trapezium.<br> 9 cm<br> 6 cm<br> 15 cm
    15·1 answer
  • Choose a value for n, and then evaluate n^2.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!