Answers
Answer:
Step-by-step explanation:
To find the angle measure of an angle inside an arc then you multiply 1/2 by the sum of the 2 intercepted arcs.
x=1/2(42+56)
x=1/2(98)
x=49
Related Questions
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
Answers
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that involves mailing discount coupons to all their credit card customers. This promotion will be considered a success if more than of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of credit card customers. Click on the datafile logo to reference the data.
a. Develop hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national.b. The file Eagle contains the sample data. Develop a point estimate of the population proportion.c. Use αα= .05 to conduct your hypothesis test. Should Eagle go national with the promotion?
Answers
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. It is considering a promotion that involves mailing discount coupons to all its credit card customers. This promotion will be considered a success if more than 10% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers. Out of the 100 customers, 13 customers said that they used the discount coupons to make a purchase at a Eagle Outfitters store. Use a 0.05 level of significance. (a) Develop the null and alternative hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. (b) Compute the sample proportion. (c) Compute the test statistic. (d) Compute the critical value. (e) Based on the critical value, do we reject H0 or do we not reject H0? (f) Based on the result of the hypothesis test, should Eagle Outfitter go national with the promotion?
Solution:
a) We would set up the hypothesis test.
For the null hypothesis,
H0: p ≥ 0.1
For the alternative hypothesis,
Ha: p < 0.1
This is a left tailed test
Considering the population proportion, probability of success, p = 0.1
q = probability of failure = 1 - p
q = 1 - 0.1 = 0.9
b) Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 13
n = number of samples = 100
p = 13/100 = 0.13
c) We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.13 - 0.1)/√(0.1 × 0.9)/100 = 1
The calculated test statistic is 1 for the right tail and - 1 for the left tail.
d) Since α = 0.05, the critical value is determined from the normal distribution table.
For the left, α/2 = 0.51/2 = 0.025
The z score for an area to the left of 0.025 is - 1.96
For the right, α/2 = 1 - 0.025 = 0.975
The z score for an area to the right of 0.975 is 1.96
e) In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96
Since - 1 > - 1.96 and 1 < 1.96, we would fail to reject the null hypothesis.
Therefore, based on the result of the hypothesis test, the Eagle Outfitter should go national with the promotion
Value at Risk (VAR) has become a key concept in financial calculations. The VAR of an investment is defined as that value v such that there is only a 1 percent chance that the loss from the investment will be greater than v.
(a) If the gain from an investment is a normal random variable with mean 10 and variance 49 determine the VAR. (IfX is the gain, then ?X is the loss.)
(b) Among a set of investments all of whose gains are normally distributed, show that the one having the smallest VAR is the one having the largest value of mean minus standard deviation*2.33?
Answers
Answer:
Var = 6.31
Step-by-step explanation:
The Value at Risk (VAR)
\(P(X < x_o) = 0.01\)
By using normal distribution
Mean \(\mu\) = 10
Variance = 49
Standard deviation \(\sigma = \sqrt{49 } = 7\)
This implies that:
\(P\Big ( \dfrac{X - \mu}{\sigma } < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ P\Big ( Z < \dfrac{x_o - \mu }{\sigma}\Big) = 0.01 \\ \\ \dfrac{x_o - \mu }{\sigma} = invNorm(0.01) \\ \\ x_o = \mu + \sigma \times invNorm (0.01)\)
Using the z-table;
\(x_o = 10 + 7 \times (-2.33) \\ \\ x_o = -6.3100\)
Hence, there exist 1% chance that X < -6.31 or the loss from investment is > 6.31
From the calculated value above;
\(V = \mu -\sigma \times 2.33\); Since the result is negative, then it shows that the greater the value(i.e the positive or less negative it is ) the lower is the value of VAR. Thus, the least value of VAR is accepted by the largest value of
\(min( \mu -\sigma \times2.33,0)\)
Estimate the line of best fit using two points on the line. 10- 8765SYON- +H+H+ -H ● IM (7.4) (10,2) 8 9 10
Answers
The equation of the line of best fit is: y = (-2/3)x + 26/3
To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the points:
m = (2 - 4) / (10 - 7)
m = -2 / 3
Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):
4 = (-2/3)(7) + b
4 = -14/3 + b
To find the value of b, we can rearrange the equation:
b = 4 + 14/3
b = 12/3 + 14/3
b = 26/3
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A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
Answers
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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Newton pays for 5 pounds of pears thy cost $3.75 per pound. Descartes pays $15 for 5 pounds of apples. About how much more do the 5 pounds of pears cost than the 5 pounds of apples?
Answers
Answer:$3.75
Step-by-step explanation:
you first multiply 3.75 and 5 and you get 18.75 then you subtract 18.75 by 15 since he paid 15 for the apples so after subtracting you get $3.75
1. The ratio of faculty members to students at a college is 1:18. If there are 16000 students, how many faculty members are there? Round to the nearest whole number
Answers
Therefore, there are approximately 889 faculty members at the college.
What is ratio?Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.
Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.
Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.
To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.
If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:
Number of faculty members = 16000 / 18
This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.
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There are 150 students in your 8th grade and 3/5 of these students are girls. 2/3 of the girls participate in after school activities. How many 8th grade girls participate in these activities? A)90 B)60 C)100 D)none of the above
Answers
Answer:
b)60
Step-by-step explanation:
3/5 of 150 is 90 and 2/3 of 90 =60
so the anwser is 60
The dimensions of a rectangular pyramid are shown.
6, feet. 8, feet. 4, feet.
What is the volume of this rectangular pyramid in cubic feet?
Answers
The volume of the rectangular pyramid is 64 cubic feet.
What is a rectangular pyramid?A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.
The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.
The volume of a rectangular pyramid is given as:
V = (l)(b)(h) / 3
V = (6)(8)(4) / 3
V = 192 / 3
V = 64 cubic feet.
Hence, the volume of the rectangular pyramid is 64 cubic feet.
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The correct question is:
Compute the common and natural logarithms using the properties of logarithms and a calculator.Type the correct answer in each box. Round your answers to two decimal places.
Answers
(b)
\(\log _{}3.26\)Using the calculator to compute the logarithm, we have;
\(\begin{gathered} \log \text{ 3.26 = 0.5132} \\ \log \text{ 3.26 = 0.51 (Round to two decimal places)} \end{gathered}\)(c)
\(\begin{gathered} \log \text{ 10000} \\ =\log _{10}10^4 \\ =4\log _{10}10 \\ =4\times1 \\ \log \text{ 10000}=4.00\text{ (Round to two decimal places)} \end{gathered}\)(d)
\(\begin{gathered} \ln 22=3.0910 \\ \ln 22=3.09\text{ (Round to two decimal places)} \end{gathered}\)Find the equation of the line parallel to line h that passes through (-4,2). A) y = 1/3x + 10/3 B) y = -1/3x + 2/3
Answers
Option B is correct and the equation of the line would be y = -1/3x + 2/3.
What is the equation of the line?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
To find the equation of a line that is parallel to a given line, we need to use the slope of the given line and the coordinates of a point on the new line.
The slope of a line is given by the formula: slope = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
The equation of a line in slope-intercept form is given by: y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
For line h, we are given that it has a slope of -1/3. We are also given that the new line passes through the point (-4,2).
We can use these two pieces of information to find the equation of the new line. First, we plug in the coordinates of the point (-4,2) and the slope (-1/3) into the formula for the equation of a line:
y = (-1/3)x + b
2 = (-1/3)(-4) + b
2 = 4/3 + b
Solving for b, we find that b = -2/3.
Substituting this value back into the equation for the line, we find that the equation of the line is:
y = (-1/3)x - 2/3
This is the equation for line h that passes through the point (-4,2).
Hence, Option B is correct and the equation of the line would be y = -1/3x + 2/3.
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Beatrice has two coins. The first coin is fair and the second coin is biased. The biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice selects one of the two coins at random and flips the selected coin 4 times. The result is HHTH. What is the probability that the fair coin was selected?
Answers
The ratio opposite/adjacent describes which function?
Answers
Answer: o/a is the Tangent
Step-by-step explanation:
Sin = o/h
Cos= a/h
Tan = o/a
Luke can dig a hole in four days and his friend Steve can dig it in five days how long will it take them to dig the hole together
Answers
Answer:
2 \(\frac{2}{9}\) days
Step-by-step explanation:
Let d = the number of days.
\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1
\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1
\(\frac{9}{20}\) d = 1 Multiply both sides by \(\frac{20}{9}\)
(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))
d = \(\frac{20}{9}\) I can break 20 into 9 + 9 + 2
d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\) \(\frac{9}{9}\) = 1
d = 1 + 1 + \(\frac{2}{9}\)
d = 2 \(\frac{2}{9}\)
An 8-oz can of orange juice contains about 97 mg of vitamin C. About how
many milligrams of vitamin C are there in a 12-oz can of orange juice?
Answers
Answer:
Step-by-step explanation:
12/8=1.5
1.5*97=145.5mg
TRUE or FALSE. Write the word True if the statement is true, and False if the statement is false
1.If my father and mother have a gene coding for obesity, it is guaranteed that I will be obese.
2.Many factors other than genetics may determine whether a person is obese.
3.It is possible that I will inherit other genes from my parents that counter the obesity genes.
4.Phenotypes are the observable characteristics of an individual.
5.Mutations determine differences in the human genome.
Answers
Answer:
Step-by-sTrue
tep explanation:
Answer:
1: False
2: True
3: True
4: True
5: False
Step-by-step explanation:
He buys a jewel for $180 then sells it for $216 find his percentage profit
Answers
The difference between the selling price and the cost price is the profit he earned.
Profit = Selling Price - Cost Price
Profit = $216 - $180
Profit = $36
To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :
Percentage Profit = (Profit : Cost Price) * 100%
Percentage Profit = ($36 : $180) * 100%
Percentage Profit = 0.2 * 100%
Percentage Profit = 20%
Therefore, his percentage profit is 20%.
you buy 3 shirts and 3 pants for $45 your friends buys 1 shirt and 2 pants for $24 use system of equations to find the price for shirts and the price for pants .
Answers
The price for shirts and the price for pants are 6 and 9.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: you buy 3 shirts and 3 pairs of pants for $45 your friend buys 1 shirt and 2 pairs of pants for $24.
We have to use the system of equations to find the price for shirts and pants.
We let the cost of shirts be x and
the cost of pants be y
3x + 3y = $45....(1)
x + 2y = $24....(2)
Now we solve both equations and we get
3x + 3y = $45....(1) × 1
x + 2y = $24....(2) × 3
3x + 3y = $45....(3)
3x + 6y = $72....(4)
Now we subtract equation 4 from 3 and we get
3y = 27
y = 9
Now we put the value of y in equation 4 and we get
3x + 27 = 45
3x = 45 - 27
3x = 18
x = 6
Hence, the price for shirts and the price for pants are 6 and 9.
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answers
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
(3/5)^2 + 4 x 3 - 2
Please help :)
Answers
Answer:
\(10 \frac{9}{25} \)
Step-by-step explanation:
\( \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} \)
3 1 A bottle of drink is sold at P4.85. A refund of 25 thebe is offered for returning the empty bottle. (a) Express the refund for an empty bottle as a percentage of the cost of the bottle of drink. 5 points*
Answers
Answer:
The cost of the bottle of drink is P4.85. The refund for an empty bottle is 25 thebe.
To express the refund as a percentage of the cost of the drink, we need to convert the refund to the same unit as the cost of the drink.
1 thebe = 0.038 Philippine pesos (as of June 2023)
25 thebe = 0.95 Philippine pesos
Therefore, the refund for an empty bottle is 0.95/4.85 x 100% = 19.59%
So the refund for an empty bottle is 19.59% of the cost of the bottle of drink.
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In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 190 pounds in the summer, including clothing and carry‑on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not normally distributed, especially when the population includes both men and women, but they are not very non‑Normal. A commuter plane carries 22 passengers. What is the approximate probability P that the total weight of the passengers exceeds 4500 pounds? Use the four‑step process to guide your work. Give your answer as a percentage precise to two decimal places. P=___?
Answers
The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545
\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)
= 1 - 0.8997
= 0.1003
= 10.03%
Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.
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Convert 73% to a decimal *
Answers
Answer
0.73
Step-by-step explanation:
73% = 0.73 in decimal form. Percent means 'per 100'. So, 73% means 73 per 100 or simply 73/100.
Answer:
Step-by-step explanation:
73%
=73/100
=0.73
when u divide the percentage with hundred percentage sign will be removed.
if u dig a six foot whole how deep is that whole
Answers
Answer:
6 feet :/
Step-by-step explanation:
Write this number in scientific notation 38200000
Look at attachment down below
Answers
Answer:
3.82 × 107
Step-by-step explanation:
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
which equation can be used to find 60 percent of 50?
Answers
Answer:
the answer is [c]
One runner had a personal best time, and the other runner neither trained nor had a personal best time
Answers
While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.
The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.
On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.
In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Help please.................
Answers
Answer:
(-4, 0) and (5/2, 0)
Step-by-step explanation:
if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0
set each factor equal to zero and solve:
2x - 5 = 0
2x = 5
x = 5/2
x + 4 = 0
x = -4
Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid
Answers
Answer: yes, it is valid
Step-by-step explanation:
Given the following probability distribution :
X ________f(x)
100,000___ .10
200,000__ .20
300,000 __ .25
400,000 __ .30
500,000 ___.10
600,000 ___.05
To examine the validity of the distribution :
Each individual observation or point must have probability value in within the range (0 < p ≤ 1)
Where p = probability value.
The sum of the individual probabilities must add up to 0
(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)
= 1
Since the two consitions are meet, then, the probability distribution is valid