Answers
Of the six faces numbered 1 to 6, there is only one five. The probability therefore of rolling a die and getting a five is equal to 1/6. This approach is the theoretical. Hence, the answer to this item is the first option, A Theoretical.
So basically if you think about it the answer is Empirical.
Related Questions
Helpp me graph thesse on a scatter plot sooo confused eee!! @musiclover helpp plzz lol
Answers
1. The scatter plot does not show a linear model.
2. Since the plotted data are all around the temperature of 10, the slope would be a horizontal line at 10. A horizontal line does not have any slope, this tell me that the average temperature stays an average of 10 no matter what the humidity level is.
3. There is no vertical intercept shown.
2nd page:
1. yes, because there were 2 small clusters separated by a little bit of space.
2. I think the location of the area the data came from may change the relationship between the variables.
3. I think by switching the axis's the data may be grouped closer together since most of the data points are along a vertical line.
Answer:
1. The scatter plot does not show a linear model.2. Since the plotted data are all around the temperature of 10, the slope would be a horizontal line at 10. A horizontal line does not have any slope, this tell me that the average temperature stays an average of 10 no matter what the humidity level is.3. There is no vertical intercept shown.2nd page:1. yes, because there were 2 small clusters separated by a little bit of space.2. I think the location of the area the data came from may change the relationship between the variables.3. I think by switching the axis's the data may be grouped closer together since most of the data points are along a vertical line.
Step-by-step explanation:
mike purchased two blankets at $44.99 each, one mattress for $59.00 and a sheet for $19.99. The sales tax rate is 5.75%. what is the total purchase price, including sales tax?
Answers
The total purchase price, including sales tax, for the two blankets, one mattress, and one sheet that Mike purchased is $178.69.
Explanation:To work out the total purchase price, including sales tax, for the items Mike purchased, first, we need to calculate the total cost of the blankets, mattress, and sheet before tax:
Two blankets: 2 × $44.99 each = $89.98One mattress: $59.00One sheet: $19.99Add these amounts together to find the subtotal:
$89.98 + $59.00 + $19.99 = $168.97
Next, we compute the sales tax. Convert the percent to a decimal by moving the decimal point two places to the left (5.75% becomes 0.0575), and then multiply by the subtotal:
0.0575 × $168.97 = $9.7161
Round the sales tax to the nearest cent: $9.72
Finally, add the sales tax to the subtotal to get the total purchase price:
$168.97 + $9.72 = $178.69
Therefore, the total purchase price, including sales tax, is $178.69.
A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the closest fractional size.
Answers
1.234 in-----> 1+(0.234) in
we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234
therefore
1.234 in is equal to -----------> 1 15/64 in
the answer is
1 15/64 in
If 555 is divided by 2, what is the remainder? A) 1 B) 2 C) 3 D) 5
Answers
If 555 is divided by 2 then the quotient is 277 and the remainder is 1.
2 goes into 15 at most 7 times (Last step of long division).
Good luck :)
Step-by-step explanation:
If 555 is divided by 2 then the quotient is 277 and remainder is 1.
The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $18 per ticket to the planetarium. The second day they paid $85 for transportation plus $15 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answers
This simplifies to
c = 148n
Answer:
n(30 +18 +85 +15) , and if you slove the expression it'll be $148 dollars .
Step-by-step explanation:
The results of a survey are shown below.in the survey,12 students said that they would like to learn French.
Answers
-2(bx - 5) = 16
What’s does b and x equal?
Answers
You have the following equation given in the problem above:
-2(bx - 5) = 16
When you solve for bx, you have:
-2(bx - 5) = 16
-2bx-10=16
-2bx=26
bx=26/-2
bx=-13
When you solve for b, you obtain:
-2(bx - 5) = 16
-2bx=26
b=-(26/2x)
When yoo solve for x:
2bx=26
x=-(26/2b)
Graph The Parabola. y=3x^2+18x+20
Answers
[tex]y = 3x {}^{2} + 18x + 20[/tex]
The final solution for y is
[tex]y = 3x {}^{2} + 18x + 20,x \:e \: r [/tex]
where e = ∈
Graph details as follows
Domain: x ∈ ℝ
Minimum : ( - 3, - 7)
y-intercept : (0, 20)
8% of what is 2.8??
Answers
8% × what = 2.8
0.08 × what = 2.8
what = 2.8/0.08
what = 35
8% of 35 is 2.8.
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
Answers
M (1,3)
N (5.0)
The slope of the line is given by:
m = (y2-y1) / (x2-x1)
Substituting values we have:
m = (0-3) / (5-1)
Rewriting we have:
m = -3 / 4
Answer:
The slope of the line is:
m = -3 / 4
The slope of the line that points M and N lies on is [tex]-\frac{3}{4}[/tex]
Given:
[tex]M(1, 3)\\N(5, 0)[/tex]
Formula for slope of a line is:
[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let,
[tex]M(1, 3) = (x_1, y_1)\\N(5, 0) = (x_2, y_2)[/tex]
Substitute
[tex]Slope(m) = \frac{0-3}{5-1} \\= \frac{-3}{4} \\= -\frac{3}{4}[/tex]
Therefore, the slope of the line that contains M(1, 3) and N(5, 0) is: [tex]-\frac{3}{4}[/tex]
Learn more about slope here:
https://brainly.com/question/19381158
Rewrite the equation below in standard form 2/3x=-5/2y+2
Answers
Answer:
4x + 15y = 12
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C where A and B cannot be fractions and A is not negative. To write in standard form, move -5/2y to the other side of the equal sign. Then clear the denominators by multiplying the equation by 6.
2/3x=-5/2y+2
2/3x + 5/2y = 2
6(2/3x + 5/2y = 2)
4x + 15y = 12
10,456 to the nearest tenth
Answers
Answer: 10,5
Answer = 10,456.0
Hope this helped☺☺
The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.
Answers
Final answer:
Ordered pairs with opposite signs for their coordinates are located in the second or fourth quadrants of a Cartesian plane, depending on the signs of the x and y-coordinates.
Explanation:
The coordinates of an ordered pair with opposite signs indicate its position in the coordinate plane. When the x-coordinate and y-coordinate have opposite signs, the ordered pair lies either in the second or fourth quadrant. This is because the sign of the x-coordinate is positive on the right side of the y-axis (first and fourth quadrants) and negative on the left side (second and third quadrants), and similarly, the sign of the y-coordinate is positive above the x-axis (first and second quadrants) and negative below it (third and fourth quadrants). Thus, if an ordered pair has coordinates with opposite signs, it lies in the quadrant where one axis is positive and the other is negative. For example, if the x-coordinate is positive and the y-coordinate is negative, the ordered pair will be in the fourth quadrant. Conversely, if the x-coordinate is negative and the y-coordinate is positive, it will lie in the second quadrant.
Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
c(x) =_x^2 +_x+_
Answers
Therefore, we can conclude that his revenue is [tex]14 * 12[/tex] or [tex]168[/tex] bucks.
The session price goes up in a pattern of 2.
For example, from 12 the session price goes to 14, 16, 18 and so on.
As each jumps goes by 2, the amount of students drop by 1.
(i.e from 14 students the number decreases to 13, to 12 and so on.)
As we can see the revenue begins at 168 and continues upward until it reaches 200 dollars and then starts to descend.
This indicates that the U-turn or vertex of the revenue function is approximately 4200, where h represents 4, and k is 200.
To solve we can use Parabola.
⇒ Parabola: any point is at an equivalent separation from:
a settled point (the concentration ), and
a settled straight line (the directrix )
____________________________________________________
[tex]f (x) = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola.
⇒ [tex] \left \{ {{y=192} \atop {x=2}} \right. [/tex]
⇒ [tex]192 = a(2-4)^2+200[/tex]
⇒ [tex]-8=a(-2)^2[/tex]
⇒ [tex]-8=a*2^2[/tex]
⇒ [tex]-8=a*4[/tex]
⇒ [tex]-8=4a[/tex]
⇒ [tex] -\frac{8}{4} = \alpha [/tex]
⇒ [tex] \alpha = -2 [/tex]
Now lets do the final step: Simplifying
[tex]y-2(x-4)^2+200[/tex]
[tex]y=-2(x^2-8x+16)+200[/tex]
[tex]y=-2x^2+16x-32+200[/tex]
[tex]c(x) = -2x^2+16x+168[/tex]
Answer:
c(x) = -2x^2+16x+168
Step-by-step explanation:
just did it on edmentum
Solve the equation by factoring. z2 − 6z − 27 = 0
Answers
You must fine 2 number that multiply to equal -27 and add to equal -6
(x-9) (x+3)
Then equal the parts of the binomial to zero
x - 9 = 0
x + 3 = 0
You must get x by its self.
When you do so, you'll have the answer as -3 and 9
To solve the quadratic equation z² -6z - 27 = 0, factor it to get (z - 9)(z + 3) = 0. Using the Zero Product Property, we find that the solutions are z = 9 and z = -3.
Solving Quadratic Equations by Factoring
To solve the quadratic equation z ²
- 6z - 27 = 0 by factoring, we must find two numbers that add up to -6 and
multiply to -27. After identifying these numbers, we can factor the quadratic expression
into a product of two binomials and then apply the Zero Product Property to find the
values of z.
The two numbers that meet these criteria are -9 and 3, as (-9)*(3) = -27 and (-9)+(3) =
-6. Therefore, we can express the quadratic equation as:
(z - 9)(z + 3) = 0
By the Zero Product Property, we find the solutions to the equation by setting each
binomial equal to zero:
z - 9 = 0
z = 9
z + 3 = 0
z = -3
Thus, the solutions to the quadratic equation are z = 9 and z = -3. These are the z-values that satisfy the original equation.
The lateral area of a cone is 555 pi cm^2. The radius is 15.1 cm. What is the slang height to the nearest tenth of a centimeter?
A- 36.8 cm
B- 11.7 cm
C- 83.8 cm
Answers
A = πrh
where r and h represent the radius and slant height, respectively. Substituting given values, you have
555π cm² = π(15.1 cm)h
h = (555/15.1) cm ≈ 36.8 cm
The appropriate selection is
A- 36.8 cm
Eight students were absent the following number of days in a year: 4,8,0,1,7,2,6,and 3. Decide if the range or interquartile range better describes the data set, and explain your reasoning.
Answers
The range is the better measure of variability because the data is arranged so that the spread of data is about the same from the beginning to the end.
There are not more numbers that fall in the middle half of the data when compared to the entire data set.
Use the normal distribution of fish lengths for which the mean is 1111 inches and the standard deviation is 44 inches. assume the variable x is normally distributed. left parenthesis a right parenthesis(a) what percent of the fish are longer than 1212 inches? left parenthesis b right parenthesis(b) if 300300 fish are randomly selected, about how many would you expect to be shorter than 77 inches?
Answers
About 40% of the fish are longer than 12 inches.
(b) 300*P(x < 7) ≈ 48
about 48 of 300 fish could be expected to be shorter than 7 inches.
Based in the graph, what is the initial value of the linear relationship
A)-4
B)-3
C)5/3
D)5
Answers
Answer:
D)5
Step-by-step explanation:
The initial value of the linear relationship is the value that exists in the "Y" axis when the "x" value is 0, as you can see in the graph, when the X value is 0, the Y value is 5, so the inital value of the linear relationship is 5.
If you wish to calculate this on an inequality, you just have to insert in the inequality 0 as the value for x, and you will get as a result the initial value.
The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?
Answers
in this case n = 6
so (6 - 2 ) x 180 = 4 x 180 = 720
x - 60 + x - 40 + 130 + 120 + 110 + x - 20 = 720
3x + 240 = 720
3x = 480
x = 160
m<F = x - 20 = 160 - 20 = 140
answer
<F = 140°
is 4,286 divisqble by 6
Answers
Tyler bought a large bag of peanuts at a baseball game. Is it more reasonable to say that the mass of the peanuts is 1 gram or 1 kilogram?
Answers
Or one Pound of peanuts? or kilograms
1 Kilo
ln(2m 8th power) exapnad in logarithmic expression
Answers
[tex]\Longrightarrow \,\, \ln(a\,b)=\ln(a)+\ln(b)[/tex]
[tex]\Longrightarrow \,\, \ln(a^{b})=b\ln(a)[/tex]
Your expression makes use of both of these rules.
[tex]\ln(2m^{8})=\ln(2)+\ln(m^{8})=\ln(2)+8\ln(m)[/tex]
The expanded form is
[tex]\ln(2)+8\ln(m)[/tex]
The mean output of a certain type of amplifier is 117 watts with a variance of 100. if 42 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 3.3 watts? round your answer to four decimal places.
Answers
P(113.7<x<120.3)
z-score is given by:
z=(x-μ)/σ
but
n=42
hence:
σ/√n
100/√42=15.43
thus
when x=113.7
z=(-3)/15.43
z=-0.1944
P(z<-0.1944)=0.4247
when x=120.3
z=3.3/15.43
z=0.214
P(z<0.214)=0.5832
hence:
P(113.7<x<120.3)=0.5832-0.4247=0.1585
what is 231 scaled down by a factor of 1/10
Answers
231
We have the following scale factor:
1/10
Applying the scale factor we have:
(number) * (scale factor)
(231) * (1/10) = 23.1
Answer:
The new number is given by:
23.1
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 199 milligrams with s = 16.5 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Answers
To construct a 95% confidence interval, use the formula: Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size))). The confidence interval for the true mean cholesterol content is approximately 190.37 to 207.63 milligrams.
Explanation:To construct a 95% confidence interval for the true mean cholesterol content of all chicken eggs, we can use the formula:
Confidence Interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))
Given that the sample mean is 199 milligrams, the sample standard deviation is 16.5 milligrams, and the sample size is 12, we need to determine the critical value for a 95% confidence level. Since we have a small sample size, we need to use the t-distribution.
Using a t-table or a statistical calculator, we find that the critical value for a 95% confidence level with a sample size of 12 is approximately 2.179.
Substituting the values into the formula, we get:
Confidence Interval = 199 ± (2.179 * (16.5 / sqrt(12)))
Simplifying and calculating, the confidence interval is approximately 190.37 to 207.63 milligrams.
To construct a 95% confidence interval for the mean cholesterol content of chicken eggs, we use the sample data provided, along with the t-distribution for a sample size less than 30, and apply the standard formula for confidence intervals.
Explanation:The question asks to construct a 95% confidence interval for the true mean cholesterol content of chicken eggs based on the given sample data. To calculate this, we first need to use the sample mean (μ), which is 199 milligrams, and the standard deviation (s), which is 16.5 milligrams. Since the sample size is less than 30, we will use the t-distribution to find the critical value. With n=12, the degrees of freedom (df) are 11.
First, look up the critical t-value for df=11 at a 95% confidence level. Let's assume it is approximately 2.201. Next, calculate the standard error (SE) of the mean by dividing the sample standard deviation by the square root of the sample size. That's SE = 16.5 / sqrt(12).
Now, we can construct the confidence interval using the formula: mean ± (t-value * SE). Plugging in the numbers, we get 199 ± (2.201 * SE).
d. A 95 percent confidence interval means that if we took many samples and built a confidence interval from each of them, we'd expect about 95 percent of those intervals to contain the true mean cholesterol level of all such eggs. Because of sample variability, the interval provides a range of values within which we are 95% confident the true mean lies.
you roll a standard number cube. Find P(number greater than 5)
Answers
On a standard number cube there are 6 numbers and only one of them is greater than 5.
The probability of getting the one number out of 6 total numbers is 1/6
P( number greater than 5) = 1/6
What is the value of 1*2+ 3 / 6*5 - 4? Express as a fraction.
Answers
What is 7/10 expressed as a decimal? Enter your answer in the box.
Answers
7 ÷ 10 = 0.7
Z = 6.8 e j 2.57 + 5.5 e j 2.64 put z in the form z = r ∠ θ , where r > 0 , θ is in degrees, and − 180 ∘ < θ ≤ 180 ∘ .
Answers
z = 12.29255119 ∠ 149.0434722°
_____
* You already need a calculator for the trig functions. You may as well use the other capabilities it offers.