Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
jenny has been given a list of 4 bands and asked to place a vote. her vote must have the names of her favorite and second favorite bands from the list. how many different votes are possible
There are 12 different ways to vote for Jenny.
Jenny has been given a list of 4 bands and asked to place a vote. Her vote must have the names of her favorite and second favorite bands from the list.
How many different ways can someone vote?The sequence matters and repetitions are not permitted when choosing two options out of four.
Therefore, we may use the permutation formula P(n, r) = n! / (n - r)! to find the number of possible methods of voting. Here, r = 2 and n = 4 respectively.P(4, 2) = 4! / (4 - 2)! = 4! / 2! = 24 / 2 = 12
There are twelve ways to support Jenny.
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Please someone answer. Identify the vocabulary word that matches the picture.
Answer:
alternate interior angles
Step-by-step explanation:
The angles are alternate interior angles
They are between the parallel lines and on opposite sides of the transversal
Find the value of x. Round your answer to the nearest tenth
(Will give brainiest)
Answer:
Its 67.9 but technically its 67.912 *hope this helps
Step-by-step explanation:
Right scalene triangle.
Sides: a = 66 b = 16 c = 67.912
Area: T = 528
Perimeter: p = 149.912
Semiperimeter: s = 74.956
Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad
Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad
Angle ∠ C = γ = 90° = 1.571 rad
Height: ha = 16
Height: hb = 66
Height: hc = 15.55
Median: ma = 36.674
Median: mb = 66.483
Median: mc = 33.956
Inradius: r = 7.044
Circumradius: R = 33.956
Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]
Centroid: CG[44.018; 5.183]
Coordinates of the circumscribed circle: U[33.956; 0]
Coordinates of the inscribed circle: I[58.956; 7.044]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad
∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad
∠ C' = γ' = 90° = 1.571 rad
how many turning points does -3x^{3} 2 have
The polynomial -3x^3 + 2 has only one turning point.
A turning point is a point on a curve where the curve changes direction, either from going up to going down or vice versa. In other words, it is a point where the first derivative of the curve changes sign.
For the polynomial -3x^3 + 2, the first derivative is given by:
d/dx (-3x^3 + 2) = -9x^2
Since the first derivative is a monotonically decreasing function (that is, its slope is always negative), the polynomial -3x^3 + 2 has only one turning point.
Slope of first derivative
d²(-3x^3 + 2)/dx² = -18x
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what is the domain and range?
Answer:
domain= x axis range= y axis
What is the probability that a standard number cube will show a two or four when it is rolled?
from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff
\(<marquee>Give:/u Name\)
whats your yes and no
what is 2 time 10 to the 3rd power?
Answer:
2000
Step-by-step explanation:
how to dilate with a scale factor of 1/3 with orgin point on graph
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
7x-5=6x+4Solve for x
7x-5=6x+4
first take like terms,
7x-6x=4+5
from the above, when a term moves to the other side, the sign automatically changes. therefore, we +6x becomes -6x and -5 becomes +5
7x-6x=4+5
1x= 9
x= 9/1
x=9
answer is 9.
twice a number increased by three is between negative three and seven
The number can be -3, -2, -1, 0 ,1
Here, we are given that twice a number is increased by three and the result is between negative three and seven.
Let the number be x
Twice of the number = 2x
Four more than twice the number = 2x + 4
This number is between -3, 7
⇒ -3 < 2x +4 < 7
subtracting 4 from both sides we get
-3 -4 < 2x < 7 - 4
-7 < 2x < 3
Dividing both sides by 2 we get
-7/2 < x < 3/2
- 3.5 < x < 1.5
Thus the original number lies between -3.5 and 1.5
This means that it can take 5 values-
-3, -2, -1, 0 ,1
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Test of Independence 6. Is there a relationship between income category and the fraction of families with more than two children? Use the following data: Number of Children Salary under $10,000 Salary between Salary over total $10,000-$25,000 $25,000 Two or less 11 13 21 45 More than 2 68 28 105 total 79 41 30 150 (a) State the null and alternative hypothesis (b) State the observed values (c) State the expected values (d) Give a p-value (e) Give a conclusion for the hypothesis test 19
a) State the null and alternative hypothesis:
Null Hypothesis (H0): There is no relationship between income category and the fraction of families with more than two children.
Alternative Hypothesis (Ha): There is a relationship between income category and the fraction of families with more than two children.
b) State the observed values:
The observed values can be obtained from the provided data table:
Number of Children Salary under $10,000 Salary between $10,000-$25,000 Salary over $25,000 Total
Two or less 11 13 21 45
More than 2 68 28 105 201
Total 79 41 126 150
c) State the expected values:
To calculate the expected values, we assume that there is no relationship between income category and the fraction of families with more than two children. The expected values can be calculated by finding the row and column totals and using the formula: (row total * column total) / grand total.
Using the formula, we can calculate the expected values for each cell in the table.
d) Give a p-value:
To determine the p-value, we need to perform a chi-squared test of independence. The test will provide us with a test statistic and the corresponding p-value. You can calculate the p-value using the chisq.test() function in R Studio or any other statistical software.
e) Give a conclusion for the hypothesis test:
After obtaining the p-value, compare it to the chosen significance level (e.g., 0.05). If the p-value is less than the significance level, reject the null hypothesis and conclude that there is a relationship between income category and the fraction of families with more than two children. If the p-value is greater than or equal to the significance level, fail to reject the null hypothesis and conclude that there is no relationship between income category and the fraction of families with more than two children.
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which factors will influence the margin of error when the population standard deviation is unknown? check all that apply.
We need to know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.
Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.
Therefore the margin of error is influenced by confidence level and sample size.
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An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?
Answer:
a) 18 students per teacher
b) 9 students per tutor
c) 7 tutors
Step-by-step explanation:
An arts academy requires there to be 6 teachers for every 108 students and 5 tutors for every 45 students.
a) How many students does the academy have per teacher?
6 teachers = 108 students
1 teacher = x
Cross Multiply.
6x = 108
x = 108/6
x = 18 students per teacher
b) Per tutor?
5 tutor = 45 students
1 tutor = x
Cross Multiply
5x = 45
x = 45/5
x = 9 students
= 9 students per tutor
c) How many tutors does the academy need if it has 63 students?
45 students = 5 tutors
63 students = x
Cross Multiply
45x = 63 × 5
x = 63 × 5/45
x = 7 tutors
2x^2-8x factor
the folowing polynomials
If 5x-2=23, then find the value of x
Answer:
x = 5
Step-by-step explanation:
5x = 2 + 23
5x = 25
x = 5
Hope that helps!
i need helpssssssssss
Answer:
I don't know lol
Answer:
719.19 ( if the radius is 8cm and the height is 19 cm, i couldn't rlly see the numbers)
Step-by-step explanation:
Multiply the radius by Pi (3.14) then multiply that number by the height and you should have your answer.
Hope this helped! Have a great evening!
1
2
01.49.15
Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the
solution set of this problem?
X<-5
O x>-5
O x>-1
O XC-1
9514 1404 393
Answer:
x > -5
Step-by-step explanation:
(2/5)(x -1) < (3/5)(x +1) . . . . . given
2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5
2x -2 < 3x +3 . . . . . . . . . . . eliminate parentheses
-5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides
This matches the second answer choice: x > -5.
Simplifying fractions
Answer:
I can help!
Step-by-step explanation:
What fractions do you need to simplify?
Answer:
Step-by-step explanation:
4/8=1/2
5/10=1/2
50/100=1/2
3/4= can't be simplified
Hint:
Take any fraction, like 7/28.
the numerator and denominator ( N and D) are divisible by 7.
7/28=1/4
Try simplifying the following fractions:
6/36
5/25
7/49
9/81
Use the number line to help you decide which statement is true.
(A)
(B)
(C)
Answer:
I think it's (A). 5
I don't know
Answer:
5/8 > 1/2
Step-by-step explanation:
No need number line. Just use fraction walls
HELP MEEEE PLEAS!!???
PLS HELP I WILL MARK BRAINLIST AND GIVE THANKS!!
Answer:
Only 4 I think, can I have branliest
Step-by-step explanation:
Answer:
i think its 4
Step-by-step explanation:pls mark branliest
can you show me exactly were to plot these?
When you mix two colors of paint in equivalent ratios, the resulting color is always the same.
Complete the table so that each row makes the same shade of purple. In the last row, make up a new pair of numbers.
Then explain how you know they will make the same shade of purple.
Answer:
3 blue cups and 9 red cups
Step-by-step explanation:
it needs to be in a ratio of 1:3 so for every 1 cup of blue there is 3 cups of red.
its the same ratio as the other two
Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: These data were obtained from the National Center for Health Statistics. ) Suppose a counseling psychologist sets out to look at the role of having children in relationship longevity. A sample of 78 couples with children score an average of 51. 1 with a sample standard deviation of 4. 7 on the Marital Satisfaction Inventory. A sample of 94 childless couples score an average of 45. 2 with a sample standard deviation of 12. 1. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of couples with children as sample 1 and the sample of childless couples as sample 2. Organize the provided data by completing the following table:
To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:
Sample Sample Size Sample Mean Sample Standard Deviation
1 78 51.1 4.7
2 94 45.2 12.1
In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.
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In a controversial election district, 73% of registered voters are democrat. a random survey of 500 voters had 68% democrats. are the bold numbers parameters or statistics?
Answer:
73% = parameter
68% = statistic
Step-by-step explanation:
Parameter and statistic differs from one another in statistical parlance in that, parameter refers to nemwrical characteristic derived from the population data. In the scenario described above, 73% describes the percentage of all registered Voters (population of interest). On the other hand, statistic refers to numerical characteristic derived from the sample data. 68% represents the percentage of democrats from the sample surveyed from the the larger population.
Hence,
68% is a sample statistic and 73% is a population parameter.
we desire the residuals in our model to have which probability distribution? select answer from the options below normal binomial poisson
The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).
Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or
\(e = y – \hat y \).
In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.
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Complete question:
we desire the residuals in our model to have which probability distribution? select answer from the options below
a) normal
b) binomial
c) poisson
Helen has 90 stamps. The number of stamps that Helen has is 25% more than Peggy has. Find the number of stamps Peggy has.
Answer: 67.5
Step-by-Step:
If Helen has 90 stamps, then 50% of what she has is 45 stamps. Half of 45 is 22.5 which is 25% of what Helen has. To find out how many stamps Peggy has, we'll have to do 90 - 22.5 which is 67.5.
engineers must consider the diameters of heads when designing helmets. the company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 1.4% or largest 1.4%. what is the minimum head diameter that will fit the clientele? min
The largest head diameter that can accommodate the clientele is 8.5743
Mean, u = 6.4
Standard deviation = 0.9
We must utilize the inverse of the common normal table to obtain our values.
the smallest head width possible.
P(Z < z) = 1.4%
P(Z < z) = 0.014
P(Z < -2.0749) = 0.014
z = -2.0749
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
We already have:
z = -2.0749
u = 6.5
s.d = 1
Replacing numbers,
x = (-2.0749 × 1) + 6.5
x = 4.4251
The clientele requires a minimum head breadth of 4.4251.
The largest head width that can be accommodated.
P(Z > z) = 1.4%
1 - P(Z < z) = 0.014
P(Z < z) = 1 - 0.014 = 0.981
P(Z < 2.0749) = 0.981
Using the z-score calculation,
(x - μ) ÷ σ = \(Z_{0.019}\)
Let x be the heads' breath.
Making x the focus of the equation,
x = z × σ + μ
z = 2.0749
u = 6.5
s.d = 1
Substituting figures,
x = (2.0749 × 1) + 6.5
x = 4.4251
x = 8.5743
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