Answer:
Angle 1 is 113, Angle 2 is 34
Step-by-step explanation:
Check the attachment:
\((2.4+\frac{5}{3})/\frac{4}{3} -2.25\)
What is the slope of the line?
A.) 1
B.) 1/2
C.) -2
D.) 2
Answer:
D
Step-by-step explanation:
I don't get my question for my homework. Here is the questions, "You have 46 gold coins, 115 diamonds, and 184 rubies. You need to put them in treasure chests, and each chest must contain the same number of each individual item. What is the greatest number of treasure chests you can fill? How many gold coins in each chest? How many diamonds in each chest? How many rubies in each chest? " This is the type of question. There is also one more problem I'm stuck on. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive?" Please help me out! Thanks
Answer:
Question 1
The greatest number of treasure chest you can fill = 23
Step-by-step explanation:
Gold coins = 46
Diamonds = 115
Rubies = 184
To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184
46 = 1, 2, 23, 46.
125 = 1, 5, 23, 115
184 = 1,2,4,8,23,46,92,184
The highest common factors of 46, 115 and 184 is 23
The greatest number of treasure chest you can fill = 23
Number of gold coins in each chest = 46/23
= 2
Number of diamonds in each chest = 115 / 23
= 5
Number of rubies in each chest = 184 /23
= 8
Question 2
Nickels = 246
Dimes = 312
Quarters = 204
Find the highest common factor of 246, 312, 204
246 = 1, 2, 3, 6, 41, 82, 123, 246
312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.
204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The highest common factor of 246, 312, 204 is 6
How many are in your group?
6 members
There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.
Number of nickels each person receive = 246 / 6
= 41
Number of dimes each person receive = 312 / 6
= 52
Number of quarters each person receive = 204 / 6
= 34
the number of students who bike to school is 5% of the number of students who walk. how many students bike to school
Which expression shows another way to write 36+16?
4(9)+4
4(9+4)
6(6+8)
Answer:
4(9 + 4)
Step-by-step explanation:
36 + 16 ← factor out HCF of 4 from each term
= (4 × 9) + (4 × 4)
= 4(9 + 4)
another way to write 36 + 16 is 4(9) + 4(4).
To rewrite the expression 36 + 16 using the distributive property, we need to find a common factor that can be factored out. In this case, both 36 and 16 are divisible by 4. So, we can rewrite the expression as:
36 + 16 = 4(9) + 4(4)
Using the distributive property, we can further simplify this expression:
4(9) + 4(4) = 4 * 9 + 4 * 4
Now, we can calculate the values:
4 * 9 = 36
4 * 4 = 16
Therefore, another way to write 36 + 16 is 4(9) + 4(4).
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Kenson and Shelly are each saving money. • Kenson has $60 in savings and will save an additional $12 every week. • Shelly has $85 in savings and will save an additional $7 every week. Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
Answer:
$2.30
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A marketing sales professional makes a base salary of $1,000 per month. The marketing sales professional
earns an additional 5% of total sales for the month. If the marketing sales professional earned $2,130 in a month, write an equation to model this situation if x represents the total sales for the month
The equation that represents the total sales for the month is given as follows:
y = 0.05x + 1000.
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
In which:
The slope m represents the commission.The intercept b represents the base salary.The parameters for this problem are given as follows:
b = 1000, m = 0.05.
Hence the function is defined as follows:
y = 0.05x + 1000.
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A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days does it take to paint the building?
Answer: 7.8 days
Step-by-step explanation:
Painter can get the job done in 15 days so gets \(\dfrac{1}{15}\) of the job done in 1 day.
Coworker can get the job done in 10 days so gets \(\dfrac{1}{10}\) of the job done in 1 day.
Together, they get \(\dfrac{1}{15}+\dfrac{1}{10}\) of the job done in 1 day.
Painter worked for 3 days so completed \(\dfrac{1}{15}(3)=\dfrac{1}{5}\) of the job.
That leaves a remaining of \(1-\dfrac{1}{5}=\dfrac{4}{5}\) of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together
\(\dfrac{1}{15}(x)\quad +\quad \dfrac{1}{10}(x)\quad =\quad \dfrac{4}{5}\)
Multiply by 30 to eliminate the denominator:
\(\dfrac{1}{15}(x)(30) +\ \dfrac{1}{10}(x)(30) = \dfrac{4}{5}(30)\)
Simplify and solve for x:
2x + 3x = 24
5x = 24
\(x=\dfrac{24}{5}\)
x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8
35 points
Select the correct answer.
Consider the following equation
Using functions, solution to the equation in this case is x = 7/8.
Define functions?Functions are the central idea of calculus in mathematics. The functions are special types of relations. In mathematics, a function is described as a rule that provides a distinct outcome for each input x. A mapping or transformation in mathematics usually represents a function. These operations are frequently denoted by letters like f, g, and h.
The domain is known as the set of all possible values that can be passed into a function while it is specified. The term "range" refers to the whole set of values that the function's output is capable of producing. The co-domain is the set of values that might be a function's outputs.
The solution for the function is x = 7/8.
The corresponding graph for the function is attached.
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Angle a & b are complementary angles. If angle a = 2x and angle b = 4x, then what is the value of x?
Here's what I drew for a better idea:
Answer:
x= 15
Step-by-step explanation:
Complementary angles add up to 90° so
a+b = 90, substitute a= 2x, and b = 4x
2x+4x = 90, add like terms
6x = 90, divide both sides by 6
x = 15
Which of the following equations, where t represents time in days, and represents length in centimeters,
could be descriptions of the growth of a bamboo plant?
Choose all answers that apply:
A
L=1.1t
B
L = 2.5t
C
L = 7.1t
D
L = 9.3t
I NEED HELP PLEASE I WILL MARK!!!!
Answer:
_3/4/_2/3 the first one i hope u will mark me brai list
Solve for n.
-5/7n + 1 =21
N in (-oo:+oo)
(-5/7)*n+1 = 21 // - 21
(-5/7)*n-21+1 = 0
-5/7*n-20 = 0 // + 20
-5/7*n = 20 // : -5/7
N = 20/(-5/7)
N = -28
N = -28
hope it worked out, since i'm not entirely sure.
Which equation represents a line which is parallel to the line y = 82 - 4?
O I + 8y = -16
Oy - 83 = -1
Submit Answer
Oz - 8y = -40
O 8x +y = 3
PLEASEEEEEE HELLOPOOPO
Answer:
di ko po alam
Step-by-step explanation:
sana po magets nyo po
When mutex lock is implemented as a binary semaphore, what should its value be initialized to be?
a) 0
b) 1
c) -1
d) none of the above
the chamber of commerce in a beach resort town wants to estimate the proportion of visitors who are repeat visitors. from previous experience they believe the portion is in the vicinity of 0.5 and they want to estimate the proportion to within 0.03 percentage points with 95% confidence. the sample size they should use is:
The sample size needed is 1068. Therefore, the chamber of commerce in the beach resort town should survey at least 1068 visitors to estimate the proportion of repeat visitors to within 0.03 percentage points with 95% confidence.
To calculate the sample size needed, we can use the formula n = (z^2 * p * q) / e^2, where:
n is the sample size
z is the z-score corresponding to the desired confidence level (1.96 for 95% confidence)
p is the estimated proportion of repeat visitors (0.5)
q is the complementary proportion (1-p)
e is the desired margin of error (0.03%)
Plugging in the values, we get:
n = (1.96^2 * 0.5 * 0.5) / 0.03^2 = 1067.11, which we round up to 1068.
The sample size needed for a survey depends on several factors, including the desired level of confidence, the margin of error, and the estimated proportion in the population. In this case, the chamber of commerce wants to be 95% confident that their estimate of the proportion of repeat visitors is accurate within 0.03 percentage points. This means they are willing to accept a maximum error of 0.03 percentage points in either direction from the true proportion, and they want to be confident that their estimate falls within that range. Based on previous experience, they estimate that the proportion of repeat visitors is around 0.5, which is used in the formula to calculate the sample size. The resulting sample size of 1068 should provide the desired level of accuracy and confidence.
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AB and BC are perpendicular lines Find the value of x Please answer quick!!
Answer:
32 degrees
Step-by-step explanation:
If AB and BC are perpendicular, that means the angle is 90 degrees. They already give you 24 and 24 which add up to 48 and then you subtract 90 by 48 to find the missing value
6.0 * 10^-6 minutes
(divided by)
3.0 * 10^3 day
Answer:
500000000
Step-by-step explanation:
When you do the first one you get 0.000006 and then when you do the second one you get 3000 so when you divide them then it puts all the numbers together, therefore, you get your answer.
5x- 4y +2z when x= 8,y =3 and z =3
34
Step-by-step explanation:
=5x-4y+2z
=5×8-4×3+2×3
=40-12+6
=46-12
=34
What is the scale factor from AABC to ADEF?
Answer:
C. 1/12
Step-by-step explanation:
The scale can be calculated by comparing side lenghts
AC is similar to FD and AB is similar to FE and BC is similar to ED
AB = 2 and FE = 24 so AB/FE is = 2/24 that's simplified is 1/12
Can someone explain this question to me
The required value of k in the expression a = √kπ is 6.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The surface area of the square = 6 × a²
= 6 × (2a)²
= 6 × 4a²
= 24a²
The surface area of the sphere = 4πr²
= 4 × π6²
Equating the surface area,
24a² = 4 × π6²
a = √6π
comparing the above expression with the expression a = √kπ
we get k = 6
Thus, the required value of k in the expression a = √kπ is 6.
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Simplify (3m5)2. what's the awser
Answer:
9 m¹⁰
Step-by-step explanation:
(3m⁵)²
= (3)²(m⁵)²
= 9 (m⁽⁵⁾⁽²⁾)
= 9 m¹⁰
Consider this data collected from a survey of a colony Favourite Sport Cricket Basket Ball Swimming Hockey 430 Athletics 250 Watching Participating 1240 620 470 320 510 320 (i) Draw a double bar graph choosing an appropriate scale. 250 105 What do you infer from the bar graph? (ii) Which sport is most popular? (iii) Which is more preferred, watching or participating in sports?
Given info:There is a favourite sport and number of people watching and participating in the colony is given.
Draw the double bar graph for the data ?
Explanation:
See the attachment
Number of people watching cricket = 1240
Number of people participating cricket =620
Number of people watching Basket ball =470
Number of people participating Baskets ball=320
Number of people watching Swimming =510
Number of people participating Swimming= 320
Number of people watching Hockey=430
Number of people participating Hockey =250
Number of people watching Athletics =250
Number of people participating Athletics =105
Scale:-
On X - axis taking favourite sport
On Y-axis taking Number of people in the colony
First bar represents Watching
Second bar represents Participating
On Y-axis 1 cm = 100 units
(i)
⇛The number of people who are watching and participating in their favourite sport.
(ii)
⇛Cricket is the most popular of all other sports .
⇛It has the most watching people and the more participants
(iii)
⇛Watching is more preferred than Participating according to the given data of the colony.
Bar graph:-
The pictorial representation of the data into some bars is called bar graph.The width of the bars is equal in the graph.The lengths of the bars are Proportional to the frequencies in the given data.⟨Hope this helps.⟩
Seventy-two percent of the shareholders in a service corporation are women. If the corporation is
owned by 43000 people, how many of the shareholders are women?
llyssa and Mark conducted an experiment with two identical spinners that each contain 4 colors. They spun both spinners and recorded the outcomes. They repeated the experlment 50 times. The results are shown in the table. Colors Frequency 5 both red 1 red and 1 green 6 1 red and 1 blue 4 1 red and I yellow 5 both green 6 5 I green and 1 blue 1 green and I yellow 5 both blue 5 4 1 blue and 1 yellow both yellow 5 Based on the data, what is the probability that the next outcome will be 1 red and 1 blue? OA. 25 O c. 1 10 OB. 23 OD.
Answer:
Step-by-step explanation:
Answer is a 2/25
how do you check your result after factoring a polynomial?
The original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.
To check the result after factoring a polynomial, one can use the FOIL method to ensure that the factored polynomial is equivalent to the original polynomial. The FOIL method stands for First, Outer, Inner, Last, and is used to multiply two binomials. To check the result, one would use the FOIL method to multiply the factored polynomial, and compare the result to the original polynomial. For example, let’s consider the polynomial\(x^2+7x+12\). After factoring, this can be written as (x+4)(x+3). To check the result, one would multiply the two binomials together, (x+4)\((x+3) = x^2 + 3x + 4x + 12\). Comparing this to the original polynomial, \(x^2 + 7x + 12\), it can be seen that the two are the same, thus confirming that the polynomial was correctly factored.
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What is the smallest number that is divisible by 21, 31, and 10.
The smallest number that is divisible by 21, 31, and 10 is 1.
Given,
The numbers are :
21, 31, and 10
To find the smallest number that is divisible by 21, 31 and 10
Now, According to the question:
Let's Check the factors of 21, 31 and 10
Factors of 21 = 1, 3, 7, and 21
Factors of 31 = 1 and 31
Factors of 10 = 1, 2, 5, and 10
Now, Least Common Multiple of 21, 31, 10 is 6510
For the smallest number divisibility are :
In above factors , we can see that common factor is 1
So, The smallest number that is divisible by 21, 31, and 10 is 1.
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Suppose that you began a one-year study of tuberculosis (TB) in St. Petersburg on January 1st, 2018. You enrolled 200 residents in your study and checked on their TB status on a monthly basis. At the start of your study on January 1st, you screened all 200 residents. Upon screening, you found that 10 of the healthy residents were immigrants who were vaccinated for TB and so were not at risk. Another 10 residents already had existing cases of TB on January 1st. On February 1st, two residents developed TB. On April 1st, three more residents developed TB. On July 1st, three of the residents who had existing TB on January 1st died from their disease. The study ended on December 31, 2018. Assume that once a person gets TB, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up.
1. What was the prevalence of TB in the screen community on April 1st?
2. What was the cumulative incidence of TB over the year? Calculate and interpret this finding.
3. What was the case-fatality rate among residents with TB over the course of the year?
4. Calculate and interpret.
Prevalence of TB on April 1st:To calculate the prevalence of TB on April 1st, we first need to know the total number of residents who had TB on that date. On April 1st, 2 new cases had developed and 10 existing cases remained.
Therefore, the total number of residents with TB on April 1st was 12. We also know that 10 healthy residents were immune to TB because they had been vaccinated. So, out of the original 200 residents, only 200-10=190 residents were at risk of developing TB. The prevalence of TB on April 1st can be calculated by dividing the number of residents with TB on that date (12) by the total number of residents at risk of developing TB (190):
Prevalence of TB on April 1st = (Number of residents with TB on April 1st / Total number of residents at risk of developing TB) × 100
Prevalence of TB on April 1st = (12 / 190) × 100
Prevalence of TB on April 1st = 6.3%
Therefore, the prevalence of TB in the screened community on April 1st was 6.3%.
Cumulative incidence of TB over the year:The cumulative incidence of TB is the total number of new cases of TB that occurred during the study period among the people who were initially free of TB. In this study, 10 healthy residents were immune to TB because they had been vaccinated and were not at risk of developing TB.
Therefore, out of the 200 residents enrolled in the study, only 190 were at risk of developing TB. By the end of the study, a total of 2 + 3 = 5 new cases of TB had developed among these 190 people.
Therefore, the cumulative incidence of TB over the year can be calculated by dividing the number of new cases of TB by the total number of people at risk of developing TB and multiplying by 100:
Cumulative incidence of TB over the year = (Number of new cases of TB / Total number of people at risk of developing TB) × 100
Cumulative incidence of TB over the year = (5 / 190) × 100
Cumulative incidence of TB over the year = 2.6%
This means that 2.6% of the people who were initially free of TB developed the disease during the one-year study period.
Case-fatality rate among residents with TB:
Three residents with existing TB died during the study period. Since there were 10 residents with existing TB on January 1st, the case-fatality rate among residents with TB can be calculated by dividing the number of residents who died from their disease by the total number of residents with TB and multiplying by 100:
Case-fatality rate among residents with TB = (Number of residents who died from their disease / Total number of residents with TB) × 100
Case-fatality rate among residents with TB = (3 / 10) × 100
Case-fatality rate among residents with TB = 30%
This means that 30% of the residents with TB died during the study period.
Calculation and interpretation:
The cumulative incidence of TB is a measure of the risk of developing TB during the study period. The case-fatality rate is a measure of the risk of dying from TB among those who have the disease. To calculate the overall risk of developing TB and dying from it during the study period, we can multiply the cumulative incidence by the case-fatality rate:
Overall risk = Cumulative incidence × Case-fatality rate
Overall risk = 2.6% × 30%
Overall risk = 0.78%
This means that the overall risk of developing TB and dying from it during the one-year study period was 0.78%. This is a relatively small risk, but it is still important to take steps to prevent the spread of TB and to treat those who develop the disease.
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Please help me respond this
Option 2 is correct that is 1.79
What is third quartile ?When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).
The quartiles formula is as follows:
Upper Quartile (Q3) = 3/4(N+1)
Lower Quartile (Q1) = (N+1) * 1/3
Middle Quartile (Q2) = (N+1) * 2/3
Interquartile Range = Q3 -Q1,
1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.
Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.
The data set has 8 values.
hence, n = 8; third quartile: 3/4 (n+1)th term
Q3 =3/4 of a term (9) term
Q3 =27/4 th term
Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)
equals 1.76
Thus Q3 is 1.76 that is option 2
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if the odds on a bet are 16:1 against, what is the probability of winning? express your answer as a fraction.
The probability of winning is 1/17, which can also be expressed as a decimal (approximately 0.059) or as a percentage (approximately 5.9%).
The odds on a bet represent the ratio of the probability of winning to the probability of losing. In this case, the odds are 16:1 against winning, which means that the probability of winning is 1 out of 16.
To express this probability as a fraction, we can use the formula:
Probability of winning = 1 / (odds + 1)
Plugging in the given odds, we get:
Probability of winning = 1 / (16 + 1)
Probability of winning = 1/17
In this case, the odds of 16:1 against winning correspond to a probability of 1/17, which represents the chance of winning the bet.
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