Answer:
9:6
Step-by-step explanation:
Each trial consists of either tossing a fair coin or rolling a fair die. You startwith tossing the coin.As long as it turns out tails you will keep tossing it. The moment it turns outheads you will stop tossing it and start rolling the die. You continue rolling the die until you get a four or a five, then you start tossing the coin again. You keep applyingthe rules described above to change from tossing the coin to rolling the die and vice versa. What is the probability that on the third trial you will toss a coin
Answer:
0.41665 = 41.665% probability that on the third trial you will toss a coin
Step-by-step explanation:
First trial: Toss the coin
The following outcomes end up with a coin being tossed on the third trial.
Tails on the first and second trial(each with 0.5 probability).
Heads on the first trial(0.5 probability) and 4 or 5 on the die on the second trial(6 sided die, so 2/6 = 1/3 = 0.3333 probability).
What is the probability that on the third trial you will toss a coin
[tex]p = 0.5^2 + 0.5*0.3333 = 0.41665[/tex]
0.41665 = 41.665% probability that on the third trial you will toss a coin
Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same
pace, how long will it take her to write a 400-page book?
Which proportion could be used to solve this problem?
State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.
Answer:
Right triangle
Step-by-step explanation:
Properties for acute, obtuse or right triangle,
1). Given triangle will be a right triangle if,
Hypotenuse² = (Leg 1)² + (Leg 2)²
2). Triangle will be an acute triangle if,
(Largest side)² < (leg 1)² + (leg 2)²
3). Triangle will be an obtuse triangle if,
(Largest side)² > (leg 1)² + (leg 2)²
Now we apply these properties in the given triangle,
(Largest side)² = (√11105)²
= 11105
(leg 1)² = (76)²
= 5776
(leg 2)² = (73)²
= 5329
Since 11105 = 5776 + 5329 (First Property)
11105 = 11105
Therefore, given triangle is a right triangle.
The math department recently purchased new learning software for their freshman math classes. The instructors want to use the learning software instead of a textbook. So they decide to study the effectiveness of the software. First they test the skills and concept mastery for a number of the freshman math students. Then they randomly divide the students into two groups. One group uses the learning software for a particular lesson and the other group uses the regular textbook. Then the instructors retest all of the students and compare the improvement in the skills and concept mastery for the two groups. What is the purpose of random assignment in this experiment? Check all that apply.
Options :
A.) To avoid bias
B. To control for confounding variables
C. To produce treatment groups with similar characteristics
D. To generalize the experiment results to all freshman math students
Answer:
To avoid bias
To generalize the experiment results to all freshman math students
Step-by-step explanation:
One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.
Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic
2|2x-6|=20
How the hell do you do this guys :(
Answer:
x1 = -2, x2 = 8
Step-by-step explanation:
You can first divide both sides of the equation by 2 so now you have:
I 2x - 6 I = 10
Then use the absolute value definiton and rewrite it into two separate equations:
1.) 2x - 6 = -10
2.) 2x - 6 = 10
From here you can solve both equations:
1.) x = -2
2.) x = 8
i hoped this helps
help me I do not know how to do is I do not have a lot of pontes so I will give 10 at is all I have
Answer:
c
Step-by-step explanation:
as far as I can see
Answer this correctly with an explanation and I will give u brainalist + 10 points
One way to recognize a line of symmetry is to look for a line that divides the
original image into:
A. Two congruent parts
B. Three congruent parts
C. Two perpendicular parts
D. Two intersecting parts
what is ( 5 x 1 ) + ( 5 x 1/3)
Answer:
The answer is 20/3
Step-by-step explanation:
(5 x 1 ) + ( 5 x 1/3)
5 + ( 5 × 1/3 )
5 + 5/3 = 20/3
Please help me I’ll give you points
Maria just inherited $10,000. Her bank has a savings account that pays 4.1% interest per year. Some of her friends recommended a new mutual fund, which has been in business for three years. During its first year, the fund went up in value by 10%; during the second year, it went down by 22%; and during its third year, it went up by 12%. Maria is attracted by the mutual fund's potential for relatively high earnings but concerned by the possibility of actually losing some of her inheritance. The bank's rate is low, but it is insured by the federal government. Use decision theory to find the best investment. (Assume that the fund's past behavior predicts its future behavior).
Answer:
Step-by-step explanation:
From the given information, it is evident that there is no assurance that the value of the mutual funds will give, and perhaps by looking at the trend, there is a net expected value of (10% - 22% + 12%) = 0% which literally doesn't differ from the what is given by the bank is a guaranteed one. From the perspective of decision theory, the best option is to use a bank because we would likely need to go for a guaranteed interest as opposed to going for an unexpected share.
y+2=1/2(x+2) graph this equation!!
Answer:
See attached.
Step-by-step explanation:
14cm
x
24cm
Help! We are determining the trigonometric ratio based on the information we are given (shown in the photo). I forget this equation!
Answer:
The answer is 336cm
Step-by-step explanation:
Multiply 24 & 14
1. Two more than the product of 3 and a number is -7.
Answer: -3
Step-by-step explanation:
2 + 3(x) = -7
-2 -2
-----------------------
3x = -9
x = -3
Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️
Answer:
3.
a=-1
a=-2
5.
n=-6
n=-3
8.
n=-5
n=-3
Step-by-step explanation:
3. separate into probable cases
[tex]a + 2 = 0\\ a + 1 = 0[/tex]
5.
[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]
factor out n from the expression
factor out -3 from the expression
[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]
factor out n+6 from the equation
[tex](n + 6) \times (n - 3) = 0[/tex]
separate into probable cases
[tex]n + 6 = 0\\ n - 3 = 0[/tex]
solve the equations
[tex]n = - 6 \\ n = 3[/tex]
8.
[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]
factor out n and 3 from the expression
[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]
factor out n+5
[tex](n + 5) \times (n + 3) = 0[/tex]
separate into probable cases
[tex]n + 5 = 0 \\ n + 3 = 0[/tex]
solve the equations
[tex]n = - 3 \\ n = - 3[/tex]
Jina walks 2.5 km every day. How far does she walk in 7 days?
Write your answer in meters.
Answer: 17500 meters
Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so
17.5 in meters is 17500.
4. Aaliyah swims at an average speed of 8 meters per second, how long will it
take her to complete the race of 200 meters' length? *
Find the value of two numbers if their sum is 124 and their difference is 16
What is
1/3 of 24
1/4 of 24
1/6 of 24
Answer:
In math the word "of" is multiplication.
1/3 of 24 ---> 1/3 × 24 = 8
1/4 of 24 ---> 1/4 × 24 = 6
1/6 of 24 ---> 1/6 × 24 = 4
*Answers are bolded*
Hope this helps, thank you :) !!
Answer:
Step-by-step explanation:
1/3 of 24 = 7.9999
1/4 of 24 = 6
1/6 of 24 = 4
Find the length of the diameter of circle O. Round to the nearest tenth.
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
If f(x)=3x^2 and g(x)=4x+2 what is the value of (f+g)(-1)
Answer:
1
Step-by-step explanation:
first, you have to combine the two equations.
f(x)+ g(x)
3x^2 +4x+2= (that haha)
now substitute -1 for x
3(-1)^2 +4(-1)+2
(3×1) +(-4)+2
3-4+2
=1
HOPE IT HELPS YOU :)
are they parallel???????????????
can i have help with 10?!!!!! PIC BELOW!
Answer:
=5y^2+2y+10
Step-by-step explanation:
2y−3y2+8y2+10
Simplify the equation to get whole numbers, multiply the like terms
I tried my best!
can someone help me please ??
Answer:
[tex]-2a^2-2a+11[/tex]
Step-by-step explanation:
To solve the question, use the given values of the variables and substitute them into the given expression.
We know that [tex]C = 2a^2-5[/tex] and [tex]D = 3-a[/tex]. With these values, we need to find [tex]2D-C[/tex]. So, substitute [tex]2a^2-5[/tex] for the [tex]C[/tex] and [tex]3-a[/tex] for the [tex]D[/tex] in that expression. Then, solve:
[tex]2D-C\\\\= 2(3-a)-(2a^2-5)\\= 6-2a-2a^2+5\\= -2a^2-2a+11[/tex]
Thus, [tex]2D-C[/tex] equals [tex]-2a^2-2a+11[/tex].
What is the average rate of change for f(x) = 2X – 12 over the interval 4sxs8?
A)
10
B)
30
60
D
90
Answer:
Step-by-step explanation:
I think its B, (30)
rewrite 8/50 as a decimal
Answer:
0.16
Step-by-step explanation:
Its 0.16 because it would be easiest to make 8/50 into 16/100 to make it easier to turn into a decimal.
Simplify the expression (-7 + 2)(8) =
Answer:
-40
Step-by-step explanation:
(-7 + 2)(8)
(-5)(8)
-40
PART A: is this a proportional relationship?
PART B: if this is a proportional relationship, what is the constant?
PART C: if this is a proportional relationship, write a direct proportional equation.
Please help meeeeeeeeee
The measure of the largest angle is 74°
Hi guys, how to calculate this in system?
{2a+3b=14
{5b+4a=20
Thanks,
Step-by-step explanation:
there it is
and if u need more help tell me