Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m \overarc R S + m \overarc S T + m \overarc T Q = m \overarc R Q
Answers
Answer:
Answer is below.
Step-by-step explanation:
Points R, S, T, Q on Circle O - Given
m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition
m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution
Hope this helps.
The proofing is as follows:
Given that,
Points R, S, T, Q on Circle O -Now
m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition
And,
m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution
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Related Questions
What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box. x =
Answers
Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
Answer:
-7
Step-by-step explanation:
y - x = 9
10 + 2x = -2y
Solve for y in the first equation.
y = 9 + x
Put y as 9 + x in the second equation and solve for x.
10 + 2x = -2(9 + x)
10 + 2x = -18 - 2x
2x + 2x = -18 - 10
4x = -28
x = -28/4
x = -7
Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.
Answers
Answer:
1.8 times the cost of labor.
Step-by-step explanation:
At the beginning of the year, the rate for overhead was estimated to be ...
(overhead $)/(direct labor $) = $396/$220 = 1.8
The overhead rate is 1.8 times the labor cost.
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x = 3t - 5 y = 5t + 1
Answers
Answer:
(See explanation below for further details).
Step-by-step explanation:
Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.
The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.
[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]
[tex]\frac{x+5}{3} = \frac{y-1}{5}[/tex]
[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]
[tex]5\cdot x +25 = 3\cdot y - 3[/tex]
[tex]5\cdot x -3\cdot y = -28[/tex]
The parametric equations represents a linear function (first-order polynomial).
From a group of 10 women and 15 men, a researcher wants to randomly select
women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO
Answers
Answer:
The total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Step-by-step explanation:
The complete question is:
From a group of 10 women and 15 men, a researcher wants to randomly select 5 women and 5 men for a study in how many ways can the study group be selected?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
The number of women in the group: [tex]n_{w}=10[/tex].
The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]
Compute the total number of ways to select 5 women from 10 as follows:
[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]
The number of men in the group: [tex]n_{m}=15[/tex].
The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]
Compute the total number of ways to select 5 men from 15 as follows:
[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]
Compute the total number of ways the researcher can select 5 women and 5 men for a study as follows:
[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]
Thus, the total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math majors. You survey 135 science majors, and find out that 82 of them regularly exercise. You survey 92 math majors, and find out that 41 of them regularly exercise. You test your hypothesis that the proportions are different at the 1% significance level.1. Which of the following is the correct null hypothesis? A. H0 : A = 0 B. H0 : p = 0 C. H0: P1 = P2 D. H0 : H1 = 12 2. Which of the following is the correct alternative hypothesis? A. H0.: P1 + P2 B. H0 : P1 > P2 C. H0 : Pi + P2 D. H0 : M1 is not equal to M2 3. What is the pooled proportion of Science and Math majors that regularly exercise? 4. What is the p-value of your test? 5. State the conclusion of your test in context?6. What is a 99% confidence interval for the difference in the true proportions of Science and Math majors who regularly exercise?
Answers
Answer:
1. H0: P1 = P2
2. Ha: P1 ≠ P2
3. pooled proportion p = 0.542
4. P-value = 0.0171
5. The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
Step-by-step explanation:
We should perform a hypothesis test on the difference of proportions.
As we want to test if there is significant difference, the hypothesis are:
Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).
Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).
The sample 1 (science), of size n1=135 has a proportion of p1=0.607.
[tex]p_1=X_1/n_1=82/135=0.607[/tex]
The sample 2 (math), of size n2=92 has a proportion of p2=0.446.
[tex]p_2=X_2/n_2=41/92=0.446[/tex]
The difference between proportions is (p1-p2)=0.162.
[tex]p_d=p_1-p_2=0.607-0.446=0.162[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=2\cdot P(z>2.4014)=0.0171[/tex]
As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
We want to calculate the bounds of a 99% confidence interval of the difference between proportions.
For a 99% CI, the critical value for z is z=2.576.
The margin of error is:
[tex]MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335[/tex]
The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
A company has net income of $940,000; its weighted-average common shares outstanding are 188,000. Its dividend per share is $0.85, its market price per share is $96, and its book value per share is $88.00. Its price-earnings ratio equals?
Answers
Answer:
19.2
Step-by-step explanation:
Net income $940,000
No of shares outstanding $188,000
Earning per share = Net income / no of shares outstanding
Earning per share = 940,000 / 188,000
Earning per share = 5
Market price per share = 96
Price earning ratio = Market price / Earning per share
Price earning ratio = 96 / 5
Price earning ratio = 19.2
Write In (4/9) in terms of In 2 and In 3.
A)21n 2 - 21n 3
B)4In 2 - 4In 3
C) 3(In 2 - In 3)
D)In2 2 - 4In 3
Answers
A) 2 ln 2 - 2 ln 3
Explanation
Using the laws of logarithms:
ln (x/y) = ln (x) - ln (y)
ln (4/9) = ln (4) - ln (9)
This can be written as
ln (2^2) - ln (3^2)
Another law is:
ln (n^m) = m ln(n)
So finally:
2ln (2) - 2ln 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
⇒ ㏑(4/9)
Simplify the equation, then we have
⇒ ㏑(4/9)
⇒ ㏑ 4 - ㏑ 9
⇒ ㏑ (2)² - ㏑ (3)²
⇒ 2 ㏑ 2 - 2 ㏑ 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
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554936 what is the value of 2nd 5 and its place?
Answers
Answer:
The value of the 2nd 5 is 50,000 and it is in the ten thousands place
The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Answers
Answer: 3 grams
Step-by-step explanation:
[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]
How do I find the vertex of -3x^2+6x+17
Answers
Answer:
By either graphing or completing the square
Step-by-step explanation:
The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.
Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).
2. 3 tacos cost $18.
Complete the table to show the cost of 4, 5, and 6 tacos at the same rate.
Number of tacos
Cost in dollars
6
b. How did you find your answer?
Answers
Answer:
$24, $30, $36
Step-by-step explanation:
First we need to find the unit rate.
1. 18÷3 = 6
So that means one taco costs $6.
6*4 = 24
6*5 = 30
6*6 = 36
The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.
What is unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
3 tacos cost $18.
Cost of 1 taco= 18/ 3
= $6
So, cost of 4 taco = 4 x 6 = $24
and, cost of 5 taco = 5 x 6= $30
and, cost of 6 taco = 6x 6= $36
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There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day. If they are set to be the correct time now, how many days later will they both show the correct time?
Answers
Answer:
The answer is below
Step-by-step explanation:
For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.
Since 1 day = 1/3 hr faster
x days = 24 hr faster
Let x number of days be required to be 24 hr faster. To find x we use the formula:
[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]
For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.
Since 1 day = 1/2 hr slower
y days = 24 hr faster
Let x number of days be required to be 24 hr slower. To find x we use the formula:
[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]
Cheryl bought 3.4 pounds of coffee that cost $6.95 per pound . How many did she spend on coffee
Answers
Answer:
23.63
Step-by-step explanation:
multiply the cost by the pounds
Answer:
$23.63
Step-by-step explanation:
3.4 X 6.95 = 23.63
The margin of error in a confidence interval estimate accounts for:_________
Answers
Answer:
The percentage points within which the obtained results would differ from the real population value.
Step-by-step explanation:
The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.
Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.
Suppose 27 cars start at a car race. In how many ways can the top 3 cars finish the race?
The number of different top three finishes possible for this race of 27 cars is
(Use integers for any number in the expression.)
Answers
Answer:
2925
Step-by-step explanation:
27 choose 3
(27!) / (24!3!)
the 24! cancels leaving the numerator with 27 x 26 x 25
(27 x 26 x 25) / (3 x 2 x 1)
Canceling out we get
9 x 13 x 25 which works out to be
2925!
Answer:
What expression? Anyways it is 17,550 different ways.
Solve: 25x2 − 36 = 0.
Answers
Answer:
x=1.2
Step-by-step explanation:
25x^2 -36=0
25x^2 =36
25x^2/25=36/25
x^2 =1.44
x=square root of 1.44
x=1.2
There are orange, yellow and blue sweets in a box. The ratio of the
number of orange, yellow and blue sweets in the box is 7:5:4. What
percentage of the sweets are blue? *
4%
25%
35%
O 16%
Answers
Answer:
25%
Step-by-step explanation:
Sum the parts of the ratio, 7 + 5 + 4 = 16 parts
Of the 16 parts, 4 parts are blue, thus percentage is
[tex]\frac{4}{16}[/tex] × 100% = [tex]\frac{1}{4}[/tex] × 100% = 25%
Just need an answer
Answers
Answer:
a
Step-by-step explanation:
x²≥4⇒ x≥2 or x≤-2
Answer:
b my man or women
Step-by-step explanation:
no need for one
An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the account at the end of three years
Answers
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of t years, compounded continuously is:
[tex]A=P\times e^{t\times i}[/tex]
Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:
[tex]A=P\times e^{t\times i}[/tex]
[tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]
Thus, the amount in the account at the end of three years will be $59,861.
The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was 3,990.find the total attendance on the first five days
Answers
Answer:
Add 3, 144
+3,990
And you wil get your answer
7, 134
5: Leon throws a biased coin.
The probability of getting tails is 0.4
Work out the probability of getting heads.
Answers
The probability of heads would be 1 - probability of tails.
1-0.4 = 0.6
The probability of getting heads is 0.6
Based on the information given, the probability will be 0.6.
From the question, it was stated that Leon throws a biased coin and that the probability of getting tails is 0.4.
Therefore, the probability of getting heads will be:
= 1 - 0.4
= 0.6.
In conclusion, the correct option is 0.6.
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Please answer this correctly
Answers
Answer:
2/3
Step-by-step explanation:
Total sides = 6
Number 5 and all even numbers = 1+3
=> 4
P(5 or even ) = 4/6
=> 2/3
You want to buy a $200000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest. A. How much is the loan amount going to be?
B. What will your monthly payments be if the interest rate 5%?
C. What will your monthly payments be if the interest rate is 6%?
Answers
Answer:
A = 20,000
Step-by-step explanation:
200,000 ÷ 10 = 20,000
The loan amount going to be for a home that cost $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The cost of the house, C = $200000,
The time = 30 years,
If the down payment is 10% then the remaining amount,
Down payment amount, D = 10% of 2000000 = $20000
Remaining amount = C - D
Remaining amount = $200000 - $20000 = $180000,
Therefore, the loan amount is $180000.
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You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be
Answers
Complete Question:
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 99% confident that the sample percentage is within 3.5 percentage points of the true population percentage.
Answer:
1,355 air passengers must be surveyed
Step-by-step explanation:
Note that the population proportion is not stated in the question, it will be assumed to be 50%. i.e. p = o.5
Error Margin, E = 3.5% = 0.035
Confidence Level, CL = 90% = 0.99
Therefore, Significance Level, [tex]\alpha = 0.01[/tex]
At [tex]\alpha = 0.01[/tex], [tex]Z_{crit} = Z_{\alpha/2} = Z_{0.005} = 2.576[/tex]
The number of randomly selected air passengers that must be surveyed:
This is the sample size and is given by the equation:
[tex]n = \frac{(Z_{\alpha/2})^2 p(1-p)}{E^2} \\n = \frac{2.576^2 * 0.5 *(1-0.5)}{0.035^2}\\n = 1354.24\\n = 1355[/tex]
The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make (gx). Table f(x) x= -2, -1, 2, 3, 4 y= 1/9, 1/3, 9, 27, 81 Table g(x) x= -2, -1, 2, 3, 4 y= -17/9, -5/3, 7, 25, 79
I need answers this in 5min pls help!!
Answers
Answer:
f(x) translate 2 units down to get the function g(x).
Step-by-step explanation:
From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.
Difference between y-values of both functions are:
[tex]\dfrac{-17}{9}-\dfrac{1}{9}=-2[/tex]
[tex]\dfrac{-5}{3}-\dfrac{1}{3}=-2[/tex]
[tex]7-9=-2[/tex]
[tex]25-27=-2[/tex]
[tex]79-81=-2[/tex]
So, difference between y-values of both functions is constant, i.e., -2.
Now, we get
[tex]g(x)=f(x)-2[/tex]
It means function f(x) shifts 2 units down to get the function g(x).
Therefore, f(x) translate 2 units down to get the function g(x).
Answer: horizontal or vertical stretch
Finding missing angles
Answers
Hope you understand :)
Answer:
x°=55°
Step-by-step explanation:
90°=35°+x°
90°-35°=x°
55°=x°
therefore, x°=55°
P = {4,5,8, 11, 13) and
Q = {11, 12, 13, 15, 17, 19).
a An element is selected at random from P.
What is the probability that it is odd?
Answers
Answer:
60%
Step-by-step explanation:
3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).
How many different 7-digit PIN codes using only the digits 0-9 are possible?
Answers
If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.
hope this helps, plz mark branliest?
Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.
What is combination formula?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)
2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)
As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)
Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.
Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
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Jose buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy? Use p for the number of pounds Jose will buy. Write your answer as an inequality solved for p.
Answers
Answer:
48x divided by 8= 6p
Step-by-step explanation:
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent
Answers
Answer:
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
Step-by-step explanation:
We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.
The probability of k online retail orders that turn out to be fraudulent in the sample is:
[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]
We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:
[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.