Answer:
3 spaces backwards, if you still need it.
Step-by-step explanation:
The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.
Expected Value Calculation:
To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.
Even sum outcomes: (1+3), (1+5), (3+5), (5+1), (3+1), (5+3), (1+6), (3+6), (5+6), and (6+6).Odd sum outcomes: (1+1), (3+3), (5+5), (6+1), (6+3), and (6+5).The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).
The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:
Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)
= (10/16 * -6) + (6/16 * 2)
= (-60/16) + (12/16)
= (-48/16)
= -3
Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.
A group of 59 randomly selected students have a mean score of 29.5 with a standard
deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean
score, ", of all students taking the test?
Answer:
[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]
[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
Step-by-step explanation:
Information given
[tex]\bar X = 29.5[/tex] represent the sample mean
[tex]\mu[/tex] population mean
s= 5.2 represent the sample standard deviation
n=59 represent the sample size
Confidence interval
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The degrees of freedom are given by:
[tex]df=n-1=59-1=58[/tex]
The Confidence interval is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.671[/tex]
Now we have everything in order to replace into formula (1):
[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]
[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]
And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence
___ probability is the predicted ratio of favorable outcomes to the total number of outcomes.
Answer:
theoretical probability
Answer:
Theoretical Probability
Step-by-step explanation:
The answer is Theoretical Probability
a drum have a diameter of 22 in and a 16 in deep find the volume of this drum
≈ 6079 in³
Step-by-step explanation:drum = cylinder
d = 2r => r = d/2 = 22in/2 = 11 in
h = 16 in
V = π·r²·h
= 3.14·(11in)²·16in
= 3.14·121in²·16in
= 6079, 04 in³
≈ 6079 in³
What is the area of the following parallelogram in square centimeters?
396 cm2
360 cm2
3.6 cm2
3.96 cm2
Answer:
3.6 cm²
Step-by-step explanation:
18 mm = 1.8 cm
A = 2cm×1.8cm = 3.6 cm²
Your answer would be the third option, 3.6 cm².
The equation for the area of a parallelogram is the same for the area of a rectangle, which is base multiplied by perpendicular height. Because all of the answers are given in cm², we should convert all lengths in mm to cm.
This means that 18mm because 1.8cm (by dividing by 10).
Now we just do 1.8 × 2 = 3.6cm²
I hope this helps!
Describe what pie is and explain how it Is used in finding the circumference of a circle
Answer:
Step-by-step explanation:
Pi is the ratio of a circle's circumference to its diameter.
The circumference = π * the diameter of the circle (Pi multiplied by the diameter of the circle)
Hope this helps!
What is the greatest common factor and least common multiple of 4 and 10?
Answer:
The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20
Step-by-step explanation:
Write a recursive formula for the perimeter of the
nth figure.
an = an- 1 + 6 where a = 4
an = n2 where ay = 1
an = an- 1 + 9 where a1 = 4
DONE
Answer:
Option A
Step-by-step explanation:
So in other words, an = an-1 + 6 where a1 = 4. Correct on Ed 2020!
Answer:
A
Step-by-step explanation:
Evaluate.
−27125−−−−√3
−925
−35
925
35
Evaluate.
−27125−−−−√3
−925
−35
925
35
Evaluate.
−27125−−−−√3
−925
−35
925
35
The given expression can be solved as -3/5.
The given expression is [tex]\sqrt[3]{\frac{-27}{125} }[/tex].
Here, 27 and 125 can be written as
27 = 3×3×3 = 3³
125 = 5×5×5 = 5³
Now, [tex]\sqrt[3]{\frac{-3^3}{5^3} }= ({\frac{-3^3}{5^3})^{\frac{1}{3} }[/tex]
= -3/5
Therefore, the given expression can be solved as -3/5.
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"Your question is incomplete, probably the complete question/missing part is:"
Evaluate: [tex]\sqrt[3]{\frac{-27}{125} }[/tex]
Convert this equation to slope-intercept form:
25x + 10y = 1,000
Answer:
y = -2.5x +100
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
We need to solve for y
25x+ 10y =1000
Subtract 25x from each side
25x-25x+10y = -25x +1000
10y = -25x+1000
Divide each side by 10
10y/10 = -25x/10 +1000/10
y = -2.5x +100
Answer:
y = -2.5x + 100
Step-by-step explanation:
25x + 10y = 1,000
10y = -25x + 1000
y = -2.5x + 100
True or false: 4 (2x + y + 6) is equivalent to 8x + 4y + 24.
A true
B false
Answer:
A) true
Step-by-step explanation:
when you use the distributive property with the equation 4(2x + y + 6) you get 8x + 4y + 24
In a class of 20 students, 60% are girls. How many students are girls?
Answer:
12
Step-by-step explanation:
Take the number of students and multiply by the percent
20 * 60 %
Put in decimal form
20 *.60
12
There are 12 girls
Answer: 12 Students are girls.
60% of 20 students is 12. Which means the 12 students in the class are girls.
find the length of the third side to the nearest 10th
Answer: 2.8
Step-by-step explanation:
Anyone know what part B is?
The Exterior Angle Theorem states that basically ∠ACB and ∠ACD are supplementary, meaning they should equal 180 when added together. Since you know one side of the whole angle is 35, simply do 180-35, which equals 145°.
Which describes the correlation show in the scatter plot?
There is a positive linear correlation
There is a negative linear correlation,
There is no positive or negative correlation
There is a nonlinear correlation
Answer:
no positive or negative correlation
Step-by-step explanation:
none looks like |
Positive looks like /
negative looks like \
can someone help me with this?
Determine the intercepts of the line.
The x-intercept of the graph is (0.3, 0).
The y-intercept of the graph is (0, 0.4).
We have,
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
The intercepts are:
The x-intercept is the point of the line when y = 0,
The y-intercept is the point on the line when x = 0.
Now,
Apply the intercepts concept on the given graph.
From the graph,
The point when x = 0 is 0.4.
The point when y = 0 is 0.3.
Thus,
The x-intercept of the graph is (0.3, 0).
The y-intercept of the graph is (0, 0.4).
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Find the value of r in the following diagram.
The value of r is 3.75 from the diagram.
We have to find the value of r which is a radius.
ABC is a right angle triangle in the circle.
We find the value of r by using pythagoras theorem.
r²+9²=(6+r)²
r²+9²=36+12r+r²
9²=36+12r
81=36+12r
Subtract 36 from both sides:
81-36=12r
45=12r
Divide both sides by 12:
r=45/12
r=3.75
Hence, the value of r is 3.75.
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Please help me.
Solve for j
–2(j − 42) = –86
Look at the attached picture ⤴
Hope it will help u ....
4 + 16x - 12(1 + 2x) = ?
Answer:
x=-1.
Step-by-step explanation:
To solve this, we will need to simplify the equation further by distributing the '-12' with the terms inside the parenthesis.
4+16x-12-24x=?
Now, move the numbers to one side with the variable on the other.
-8x=8
x=-1
Answer:
24
Step-by-step explanation:
click on link for step by step explanation
Pure gold has a density of 19.32 g/cm². If you have
37 grams of pure gold, what is the volume of your sample?
Round to four significant digits.
0.5222 cm^3
1.915 cm^3
2.216 cm^3
19.15 cm^3
Answer:
1.915
Step-by-step explanation:
volume= mass/density
37g/19.32=1.91511387
to four significant digits... 1.915
i need help with 4 and 5 please
Answer:
C
Step-by-step explanation:
to find 4, you use the equation [tex]a^{2}+b^{2}=c^{2}[/tex] where the c= hypotenuse, which is the slant of the triangle. Then you width and length can by put as a and b. This gives you [tex]15^{2}+4^{2} = s^{2}[/tex]. Then you solve for s which end up being 15.5.
Complete the following statements for the cosine
function shown in the graph.
The minimum value is
The maximum value is
First Part:
The minimum value is -0.75
The maximum value is 0.75
Second Part:
The amplitude is 0.75
Third Part:
An equation for this function is y = 0.75cos(x)
The minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a graph shown in the picture.
From the graph, we can see that:
The minimum value = -0.75
The maximum value = 0.75
The amplitude = 0.75
And the graph of the function:
y = 0.75cosx
Where y ∈ [-0.75, 0.75]
Thus, the minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.
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Solve the equation below showing all steps.
3/4 (x + 3) = 9
Answer:
x=9
Step-by-step explanation:
3/4(x+3)=9
3/4x+2 1/4=9
3/4x=6 3/4
x=9
Hope this helped :)
Answer:
9
Step-by-step explanation:
3(x+3) =9/4
3(x+3)=9×4
3(x+3)=36
x+3= 3/36
x+3=12
x=12−3
x=9
write the remainder as a decimal for 9317 ÷ 95
Answer:
98.0736
Step-by-step explanation:
Write an equation that is perpendicular to y=4x- 10 and goes through the point (4,2)
Answer:
y = (-1/4)x + 3
Step-by-step explanation:
The slope of our equation is 4, so to find the slope of the perpendicular equation, we have that:
m1 * m2 = -1
Where m1 is the slope of the first equation and m2 is the slope of the perpendicular equation.
So, we have that:
4 * m2 = -1
m2 = -1/4
So the second equation is y = (-1/4)x + b
If the second equation goes through the point (4,2), for x = 4 we have y = 2, then:
2 = (-1/4)*4 + b
2 = -1 + b
b = 3
So the perpendicular equation is:
y = (-1/4)x + 3
Match the correct translation with the given transformation.
Answer:
please explain the questions
Pleas look at photo and answer!!
Answer:
B
Step-by-step explanation:
Answer:
the answer is the second one
Step-by-step explanation:
What operation could you use to find how many centimeters are in 3 meters?
Complete the explanation and the conversion of 3 meters to centimeters.
The operation needed is?
because there are
centimeters in 1 meter.
3 meters?
centimeters.
Answer:
300 centimeters ( cm)
Step-by-step explanation:
The operation is "multiply by 100 the numbers of meters because there are 100 cm in 1 m "
1m=100 cm
3m=3*100 cm=300 cm
There are 100 centimeters in a meter, resulting in 300 centimeters.
The operation needed to convert meters to centimeters is multiplication because there are 100 centimeters in 1 meter. To convert 3 meters to centimeters, you simply multiply 3 meters by the conversion factor of 100 centimeters per meter.
Therefore:
3 meters × 100 centimeters/meter = 300 centimeters
Using this operation and knowing the conversion factor, we find that 3 meters is equal to 300 centimeters.
Which is a quantitative variable A) political party of voter
B) grade level for high school students
C) votes counted for each candidate in an election
D) names of candidates in an election
Answer:
The answer is C
Step-by-step explanation:
To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the gym. Finally, he walked 615 feet back to his house from the gym.
Answer:
the right answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation: