EndFraction
StartFraction 24 Over 121 EndFraction
StartFraction 6 Over 11 EndFraction
StartFraction 10 Over 11 EndFraction
Answer:
StartFraction 24 Over 121 EndFraction
Step-by-step explanation:
The student senate at a local university is about to hold elections. A representative from the women’s sports program and a representative from the men’s sports program must both be elected. Two candidates, an incumbent and a challenger, are vying for each position and early polling results are presented next. A hypothesis test must be performed to determine whether the percentages of supporting votes are different between the two incumbent candidates. In a sample of 100 voters, 67 said that they would vote for the women’s incumbent candidate. In a separate sample of 100 voters, 55 said they would vote for the men’s incumbent candidate. Let p1 and p2 be the proportions of supporting votes for the incumbent candidates representing women’s and men’s sports programs, respectively. Which of the following are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates?a. H0: p1 ≤ p2, Ha: p1 > p2.b. H0: p1 ≥ p2, Ha: p1 < p2.c. H0: p1 = p2, Ha: p1 ≠ p2.d. H0: p = p0, Ha: p ≠ p0.
The competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates are: a. H0: p1 ≤ p2, Ha: p1 > p2.
Null Hypothesis (H0): This represents the statement we want to test and assume to be true in the absence of evidence to the contrary. The null hypothesis (H0) states that there is no difference between the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs.
Alternative Hypothesis (Ha): This represents the statement we want to disprove or find evidence for against the null hypothesis. The alternative hypothesis (Ha) states that the proportion of supporting votes is greater for the women's incumbent candidate than for the men's incumbent candidate.
temperatures at several times of the day are shown in the coordinate plane below. the x-axis represents the number of hours before or after noon. for example -1 would represent 11 a.m. the y-axis represents the temperature in degrees celsius at 5pm the temperature is half way between the temperature at 2pm and the temperature at 8pm. what coordinates represent the temperature at 5pm
Which of the following is not a condition required for a valid ANOVA F-test for a completely randomized experiment? 1. The sample chosen from each of the populations is sufficiently large. 2. The variances of all the sampled populations are equal. 3. The sampled populations all have distributions that are approximately normal. 4. The samples are chosen from each population in an independent manner.
Answer:
1. The sample chosen from each of the populations is sufficiently large.
Step-by-step explanation:
ANOVA is known as analysis of variance and it is a statistical process which is used to test the degree to which two or more groups vary or differ in an experiment.
The variances of all the sampled populations are usually equal. The sampled populations all have distributions that are approximately normal and the samples are chosen from each population in an independent manner.
The one that is not a condition required for a valid ANOVA F-test for a completely randomized experiment is A. The sample chosen from each of the populations is sufficiently large.
It should be noted that ANOVA is known as analysis of variance. It is a statistical process that is used to test the degree to which two or more groups vary in an experiment.When doing the ANOVA, it should be noted that it isn't necessary for all the sample chosen from each of the populations to be sufficiently large.Learn more about ANOVA on:
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If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1, 2 (90 degrees), 3, 4, 5, 6.
6 degrees
24 degrees
66 degrees
90 degrees
Answer:
b 24
Step-by-step explanation:
The measure of angle 3 is 24 degrees. The correct answer would be an option (B).
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.
Given that the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees
Here, the pairing of angles sums up to 90° then they are called complementary angles.
11x + 4x = 90
15x = 90
x = 90/15
Apply the division operation, and we get
x = 6
So, angle 3 is 4 × 6 = 24 degrees
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For each part below, explain how the measure of the unknown angle can be found without using a protractor. Find the measure of angle D. *
To find the measure of an unknown angle like angle D without a protractor, one must apply geometric or trigonometric principles based on the angle's context, such as its relation to other angles and its placement within shapes. The original question lacks specific details about angle D, making it impossible to provide a precise method for its calculation.
Explanation:To find the measure of angle D without a protractor involves understanding the geometric or trigonometric principles applicable to the given situation. For instance, if angle D forms part of a straight line with another angle, the sum of both should be 180° due to the Linear Pair Postulate. In a triangle, knowing the measurements of two angles allows us to find the third, as the interior angles of a triangle always sum up to 180°. Additionally, if angle D is part of more complex figures like parallelograms, circles, or involves trigonometric functions, equations and properties specific to those shapes or functions can be used. For example, in trigonometry, the sine and cosine rules could help find unknown angles given certain side lengths or other angles.
Unfortunately, the original question does not provide enough context or specific details about angle D, such as its relation to other angles, its placement within geometric shapes, or any other condition that could determine its calculation method. Without this information, we cannot provide a step-by-step method to calculate angle D specifically.
a. As all the angles are 60° So, It is an equilateral triangle.
b. As all the angles are 30°, 60° and 90° So, It is an equilateral triangle.
Given:
Two figures are given with some given angle x and y
To find:
The measure of the unknown angles
Let the points are A B and C in this given figure
At point, A of the triangle exterior angle of the triangle is equal to the
the interior angle which is equal to x [by the vertically
opposite angle]
∴ ∠BAC = x
At point B of the triangle also exterior angle of the triangle is equal to the interior angle which is equal to x [by the vertically opposite angle]
∴ ∠ABC = x
At point C angle Y is equal to Angle X by the property of vertically opposite angle
∴ ∠ACB = x
By the sum of angle of triangle property
∠ACB+∠ABC+∠BAC = 180°
x+x+x = 180°
3x = 180°
x = 60°
As all the angles are 60° So, It is an equilateral triangle
In part b
2x +3x +x = 180 ° [angle of a straight line is 180°]
6x = 180 °
x = 30°
By x=30 placing find all the angles
2x= 2 x 30 = 60°
3x= 3 x 30 = 90°
491,787 divided into 477
Answer:
1,031
Step-by-step explanation:
you divide 491,787 divided into 477, you get 1,031
491,787 divided into 477 would be 1031
Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
a.
Combine like terms, 3 and 5, on the right side of the equation
b.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
c.
Distribute 2 to (X+6) and 3 to (x-4)
d.
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
he complex formsof the sine and cosine functions are:ieexixix2sinand2cosixixeex, where eis the Euler e, and 1i.Differentiate the complex form of cosxto showthatxxdxdsin)(cos.[Hints:The Quotient Rule may be used, but it is not necessaryif you factor out a constant first.√−1=iis a constant. In fact, you can use it to multiply a fraction by iiif that helps...]
Answer:
[tex]\cos'(z) = -\sin(z)[/tex]
Step-by-step explanation:
According to the information given by the problem
[tex]\sin(z) = {\displaystyle \frac{e^{iz} - e^{-iz} }{2i} }[/tex]
[tex]\cos(z) = {\displaystyle \frac{e^{iz} + e^{-iz} }{2} }[/tex]
Now, if you compute the derivative of [tex]\cos[/tex] you get that
[tex]\cos'(z) = {\displaystyle \frac{ ie^{iz}-i e^{iz} }{2} } = {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} }\\\\= {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} } *\frac{i}{i} }\\\\= {\displaystyle - \frac{ e^{iz}- e^{iz} }{2i} } = -\sin(z)[/tex]
Which of the following does not affect your property insurance premium?
Answer: your age
Step-by-step explanation:
An item which is not a factor that affects a person's automobile insurance premiums is: c. the color of your car.
What is an insurance company?An insurance company is a business firm that is establish to collect premium from all of the insured for losses which may or may not occur, so they can easily use this cash to compensate or indemnify for losses incurred by those having high risk.
here, we have,
Generally, some examples of the factors that typically determines and affects a person's automobile insurance premiums include the following;
Driving record.
Duration of car usage.
Owner's age
Location
Gender
Where owner lives.
Credit score
Year, make, and model of car.
Overall value of the car.
In conclusion, we can infer and logically deduce that the color of a car is not a factor that affects a person's automobile insurance premiums.
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Complete Question:
Which of the following is not a factor that affects your auto insurance premiums?
a year, make, and model of your car
b. where you live
c. the color of your car
d. overall value of your car
A professional soccer player buys 16 acres of land. He plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. How many acres of land will the soccer player need for his soccer field and facility?
Final answer:
To determine the acreage needed for the soccer field and facility, the fraction 2/8 is simplified to 1/4, and then 1/4 of the total land (16 acres) is calculated, resulting in 4 acres required for the soccer field and facility.
Explanation:
The question asks about a professional soccer player who has purchased 16 acres of land and wishes to use 2/8 of the land for a soccer field and facility. To find out how many acres will be needed for the soccer field and facility, we perform a simple calculation:
First, reduce the fraction 2/8 to its simplest form, which is 1/4. Then, multiply the total acreage by this fraction to determine the acreage for soccer use:
16 acres × 1/4 = 4 acres
Therefore, the soccer player will need 4 acres of land for his soccer field and facility.
Which expression can be used to find the surface area of the following square pyramid
Answer:
[tex]36+15+15+15+15[/tex]
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
area of the basearea of the triangle sides (there are 4 triangles)Area of the base:
the base is a square, and the area of a square is given by:
[tex]a_{base}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=6[/tex], thus:
[tex]a_{base}=(6)^2\\a_{base}=36[/tex]
Area of the triangles:
one triangle has the area given by the formula:
[tex]a_{triangle}=\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=6[/tex]
and [tex]h[/tex] is the height of the triangle: [tex]h=5[/tex], thus we have the following:
[tex]a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15[/tex]
the expression that represents the surface area of the pyramid is:
[tex]a_{base}+area_{triangle}+area_{triangle}+area_{triangle}+area_{triangle}[/tex]
substituting our values:
[tex]36+15+15+15+15[/tex]
which is option B
Answer:
Its Option C
Step-by-step explanation:
Marlon asks a friend to think of a number from 5-11. What is the probability that marlins friend will think of the number 9
Answer:
14.29% probability that Marlon's friend will think of the number 9
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)
9 is one of them
So
[tex]p = \frac{1}{7} = 0.1429[/tex]
14.29% probability that Marlon's friend will think of the number 9
HELP DUE TODAY a bag contains 40 slips of paper numbered 1-40 if one is chosen randomly what is the probability of not choosing a multiple of five
Answer:
80% probability of not choosing a multiple of five
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have that:
There are 40 numbers between 1 and 40.
Multiples of 5 are: 5,10,15,20,25,30,35,40
So there are 8 numbers that are multiple of 4 and 40-32 = 8 which are not multiples of five.
So
32/40 = 0.8
80% probability of not choosing a multiple of five
Answer: the probability of not choosing a multiple of five is 0.8
Step-by-step explanation:
Probability is expressed as the ratio of the number of favorable outcomes to the total number of outcomes.
In this scenario, the total number of outcomes is 40. The multiple of 5 between 1 to 40 are 5, 10, 15, 20, 25, 30, 35, 40. The total numbers that are multiples of 5 is 8. The total numbers that are not multiples of 5 is 40 - 8 = 32
Therefore, the number of favorable outcomes is 32
Probability = 32/40 = 0.8
Suppose the monthly charges for cell phone plans are normally distributed with mean mu equals $ 70 and standard deviation sigmaequals$16. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of plans that charge less than $54. (c) Suppose the area under the normal curve to the left of Xequals$54 is 0.1587. Provide an interpretation of this result.
Answer:
a) The picture with the normal distribution is attached.
b) The picture with the normal distribution with the region X<54 shaded is attached.
c) The area under the normal curve to the left of X=$54 is 0.1587.
This means that there is a probability P=0.1587 that a randomly picked monthly charge for a cell phone plan is under $54.
It can also be interpreted that approximately 15.87% of the cell phone plans have a monthly charge that is less than $54.
Step-by-step explanation:
A farmer sells 9.2 kilograms of apples and pears at the farmer's market.
3
5
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 1 .9 kilograms
Step-by-step explanation:
9.5/5=1.9
since the apples account for 4 parts, we multiply 4 times the value of 1 of the 5 parts
4x1.9=7.6
Now we subtract from the original weight of everything.
9.5-7.6=1.9
Final answer:
To calculate the weight of pears sold, subtract the weight of apples (three-fifths of the total) from the total weight of 9.2 kg, resulting in 3.68 kg of pears sold at the market.
Explanation:
The farmer sells 9.2 kilograms of apples and pears in total. To find out the weight of the pears sold, we need to first calculate the weight of the apples, which is three-fifths (3/5) of the total weight, and subtract that from the total weight.
First, calculate the weight of apples:
Multiply the total weight (9.2 kg) by 3/5 to find the weight of the apples.9.2 kg times 3/5 = 5.52 kg (weight of apples).Then, to find the weight of the pears sold, subtract the weight of the apples from the total weight:
Subtract the weight of apples (5.52 kg) from the total weight (9.2 kg).9.2 kg - 5.52 kg = 3.68 kg (weight of pears).Therefore, the farmer sold 3.68 kilograms of pears at the farmer's market.
You are conducting research for a popular blog to find out the proportion of readers who are satisfied with the site’s newly designed navigation. You want to make sure that you increase your chances for capturing the true proportion of readers who are satisfied, but the margin of error is too large. Which of the given options would you do?
:D XD :D XD :D XD :D XD :D XD XD XD
Need Help on this someone!!!
Which of the following statements is false for an F distribution? a. Degrees of freedom for the numerator can be smaller than the degrees of freedom for the denominator. b. The exact shape of the distribution is determined by two numbers of degrees of freedom. c. Degrees of freedom for the numerator can be larger or equal to the degrees of freedom for the denominator. d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator. e. Variables that are F distributed range from 0 to .
Answer:
A. True
B. True
C. True
D. False
Step-by-step explanation:
Option D is the only clear option that is false.
The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.
When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.
This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.
This makes option D false and hence the correct answer
Final answer:
The F distribution in ANOVA tests has specific characteristics based on degrees of freedom, with critical values for hypothesis testing.
Explanation:
False statement: d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator.
The F distribution is used in ANOVA tests, with the shape determined by the degrees of freedom for the numerator and denominator. Critical values for the F distribution correspond to different probabilities for hypothesis testing.
20,880 times 2/5 = ?
Answer:
20,880 x 2/5
= (20,880 x 2)/5
= (41,760)/5
= 8,352
3
2
-1
1
2
3
Find the distance between J and K.
One side of the triangle is 5 meters longer than the second side. The third side is four times. If the perimeter of the triangle is 65 meters, how long is the second side
Answer - 10 meters
10 meters
Explanation:
Using the ratios given, we have the three sides in terms of one side.
(x, x+5, 4x)
The perimeter is the sum of all of them:
65 = x+x+5+4x ; 65 = 6x+5
6x = 60 ; x = 10
x+5 = 15
4x = 40
If mZABF = (7x + 20)". mZFBC = (2x - 5) ".
and mZABC = 159º. find the value of x.
Answer:
x = 16
Step-by-step explanation:
We assume that ray BF lies between BA and BC, so that ...
∠ABF +∠FBC = ∠ABC
(7x +20) +(2x -5) = 159
9x +15 = 159 . . . .collect terms
9x = 144 . . . . . . . subtract 15
x = 16 . . . . . . . . . .divide by 9
A plant is already 52 centimetres tall and it will grow one centimetre every month. The Plant's height, H (in centimetres), after M month is given by the following function: H (m) = 52+m What is the plant is height in 15 month?
9514 1404 393
Answer:
67 cm
Step-by-step explanation:
Put 15 where m is and do the arithmetic.
H(15) = 52 +15 = 67
The plant's height in 15 months is modeled as being 67 cm.
Problem 6 Calculate the test statistic. (A z-score and a t-score are examples of test statistics.) In order to present your final results with a numerical accuracy of 0.01, it will be necessary to perform your intermediate calculations with an accuracy of 0.001. Part 1 The cost of a daily newspaper varies from city to city. A study was done to test the claim that the average cost of a daily newspaper is $0.35 . Twenty cities were surveyed; the average cost was $0.30 with a standard deviation of $0.03 . t= 7.45 Part 2 Your statistics instructor claims that 60 percent of the students who take an Elementary Statistics class go through life feeling more enriched. For some mysterious reason, most people don’t believe this. You decide to check this out on your own. You randomly survey 80 former Elementary Statistics students and find that 25 feel more enriched as a result of the class. z= 2.90
Answer:
Check the explanation
Step-by-step explanation:
1) The null and alternative hypothesis is ,
[tex]H_0 : \mu = 0.35[/tex]
[tex]H_a : \mu \neq 0.35[/tex]
Test statistic = t =
= [tex](T - \mu ) / s / \sqrt n[/tex]
= [tex](0.30 - 0.35 ) / 0.03 / \sqrt 20[/tex]
Test statistic = t = - 7.45
2) Solution :
The null and alternative hypothesis is
[tex]H_0[/tex] : p = 0.60
[tex]H_a[/tex] : p > 0.60
[tex]\hat p[/tex] = x / n = 25 / 60 = 0.417
P0 = 0.60
1 - P0 = 1 - 0.60 = 0.40
Test statistic = z = 0.417
= [tex]\hat p - P0 / [\sqrtP0 * (1 - P0 ) / n][/tex]
= [tex]0.417 - 0.60/ [\sqrt(0.60 *(1 - 0.60) / 80 ][/tex]
Test statistic = z = -3.34
how many lines of symmetry does a circle have
Answer:
acircle has infintely many axes of symmetry
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation:
there are no corners what so ever and a circle is symetric, so no matter how many lines you put it will be correct
In the triangle, what is sin 45 degrees? Give your answer in simplest radical form.
The value of sin 45 is 1/ √2
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
As per the diagram,
AC= 1 unit, BC= 1 unit
Applying Pythagoras theorem,
AB² = AC² + BC²
AB² = 1²+ 1²
AB² = 2
AB= √2
Now, sine is the ratio between the opposed side and the hypothenuse.
So, sin 45 = 1/ √2 = √2/√2
In radical form = 0.7071
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Final answer:
The sin of 45 degrees is √2/2. This value is found using the properties of an isosceles right triangle and applying the Pythagorean theorem.
Explanation:
In the case of a 45-degree angle in a right triangle, the sine function can be calculated using the properties of an isosceles right triangle. The sin of 45 degrees is equal to the ratio of the opposite side to the hypotenuse. In an isosceles right triangle where the two legs are equal, this ratio is the same for both legs.
By the Pythagorean theorem, we know that in an isosceles right triangle, if each leg is of length 1, the hypotenuse will be √2. Therefore, sin 45 degrees equals the length of the leg (1) divided by the length of the hypotenuse (√2), which simplifies to √2/2 or 1/√2. Expressing this in simplest radical form, we obtain √2/2.
This value is derived from understanding that the sum of the squares of the lengths of the legs equals the square of the hypotenuse, which gives us the equation 1² + 1² = c², where c is the hypotenuse. Simplifying gives us a hypotenuse of √2, and the sine of 45 degrees equals 1/√2, or √2/2 after rationalizing the denominator.
The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?
Can anyone help me with this? its for extra credit for work provide any steps please
Answer:
240 ft^2
Step-by-step explanation:
area: (24+16)12/2=240 ft^2
(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)
exponential form of log_7(7)=2x + 2
Answer:
The value of x is -1/2 .
Step-by-step explanation:
You have to use Logarithm Law,
[tex] {a}^{x} = y => log_{a}(y) = x[/tex]
So for this question :
[tex] log_{7}(7) = 2x + 2[/tex]
[tex]1 = 2x + 2[/tex]
[tex]2x = - 1[/tex]
[tex]x = - \frac{1}{2} [/tex]
A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of product X and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine how much of product X and product Y the store owner bought?
Answer:
x + y = 4,000
0.1x + 0.04y = 352
Step-by-step explanation:
Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.
Answer:
C. [tex]\left \{ {{x+y=4,000} \atop {0.1x+0.04y=352}} \right.[/tex]
Step-by-step explanation:
Edge 2020
What fraction of the samples have a salt content greater than 38 grams?
Answer:
6/17
Step-by-step explanation: