Answer:
Step-by-step explanation:
4 g.
c=42
a=b=d
a+b+42=180
a+a=180-42
2a=138
a=138/2=69
a=69
b=69
c=42
d=69
5a.
a=30
angle O=180-(a+30)=180-(30+30)=180-60=120°
d=80
angle O=180-(d+80))=180-(80+80)=180-160=20°
central angle O of middle triangle=180-(120+20)=180-140=40°
b=c
b+c+40=180
b+b=180-40
2b=140
b=140/2=70
b=70°
c=70°
PLEASE HELP
Select the correct answer.
A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
A. 1/18
B. 1/4
C. 1/3
D. 4/9
E. 2/3
Answer:
C. 1/3
Step-by-step explanation:
there are 48 possible outcomes, and out of those 16 of them have a sum of 3.
16/48
simplify
1/3
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 58 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.4 and a standard deviation of 1.8. What is the 98% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Enter your answers accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 98% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (14.8, 15.9).
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data. In order to construct a confidence interval, the sample statistic is used as the point estimate of the population parameter.
For this problem, the sample mean x is 15.4 and the sample size n is 58, and the sample standard deviation s is 1.8. The formula for the confidence interval for a population mean μ is given by:
Upper Limit = x + z (σ /√n)
Lower Limit = x - z (σ /√n)
Where:x is the sample mean
σ is the population standard deviation
n is the sample size
z is the z-score from the standard normal distribution
The z-score that corresponds to a 98% confidence interval can be found using the z-table or calculator.
The value of z for 98% confidence interval is 2.33.
Therefore, the confidence interval can be calculated as follows:
Upper Limit = 15.4 + 2.33 (1.8 / √58) = 15.9
Lower Limit = 15.4 - 2.33 (1.8 / √58) = 14.8
Hence, the 98% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is (14.8, 15.9).
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Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a maximum of 11 total hours and must earn at least $120. Also, he must work at most 8 hours tutoring and at most 3 hours landscaping. If xx represents the number of hours tutoring and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
worked 4 hours tutoring = 4 hours * $25 = $100 earned
$130 needed - $100 earned = $30 needed
$30/ $10 hour babysitting = 3 hours
as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements
Minimum # of hours babysitting = 3 hours
Step-by-step explanation:
What is the fourth equivalent fraction to 6/7
Answer:
3/4 is equivalent to 6/7
Hey there!
Equivalent fractions have the same value. Here are some fractions that are equivalent to 6/7:
\(\frac{6}{7} =\frac{12}{14} =\frac{18}{21} =\frac{24}{28} ...\)
Hope it helps. Please let me know if you have any questions.
~An excited gal
\(MagicalNature\) here to help
Evaluate the limit. (Express numbers in exact form. Use symbolic notation and fractions where needed. Enter the symbol oo or-o if the limit is unbounded. Enter DNE into the answer field if the limit does not exist.) lim csc (5x)= X-8/5 (²/2) Incorrect esc
The limit of csc(5x) as x approaches infinity is DNE (does not exist).
The given problem is to evaluate the limit of csc(5x) as x approaches infinity. Let's calculate the limit step by step.
The function csc(5x) represents the cosecant function of 5x, where the cosecant of an angle is equal to 1 divided by the sine of that angle.
To evaluate the limit, we need to determine the behavior of csc(5x) as x approaches infinity. The cosecant function oscillates between positive and negative infinity as x approaches certain points where the sine function equals zero.
Let's examine the behavior of the sine function as x approaches infinity. The sine function oscillates between -1 and 1 as x increases indefinitely. Therefore, as x approaches infinity, the sine of 5x will also oscillate between -1 and 1.
Since the cosecant function is defined as 1 divided by the sine function, the cosecant of 5x will oscillate between -1 and 1 as x approaches infinity. Hence, the limit of csc(5x) as x approaches infinity does not exist (DNE).
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Which is a better buy, 8oz of steak for
$8.50 or 14 oz of steak for $16.00?
Answer: The 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
Step-by-step explanation: To determine which is a better buy, we can calculate the unit price of each steak.
The unit price is the price per ounce of steak.
For the 8 oz steak:
Unit price = price ÷ quantity = $8.50 ÷ 8 = $1.06 per ounce
For the 14 oz steak:
Unit price = price ÷ quantity = $16.00 ÷ 14 = $1.14 per ounce
Therefore, the 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.
Answer:
??i never did this before
how to calculate quantity produced from fabrication and finishing hours stoneage surfboards question
To calculate the quantity produced from fabrication and finishing hours for Stoneage Surfboards, you would need to have additional information such as the production rate or efficiency of the fabrication and finishing processes. Without specific data on the production rate, it is not possible to determine the exact quantity produced.
However, if you have the production rate, you can use the following formula:
Quantity Produced = Production Rate × Fabrication and Finishing Hours
For example, if the production rate is 5 surfboards per hour and you have 8 hours of fabrication and finishing time, the calculation would be:
Quantity Produced = 5 surfboards/hour × 8 hours = 40 surfboards
Remember to adjust the units and variables based on the specific information and units of measurement used in Stoneage Surfboards' production processes.
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Given that D( x ) = 2 x , select all of the following that are true statements.
D( x ) is a direct variation.
D( x ) is a function.
D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4)
x is the dependent variable.
D(6) = 3
A nail has a circular head with a diameter of 0.40 centimeters.
What is the area of the nail's head, rounded to the nearest hundredth of a square centimeter?
Please help
the question is beloww
Answer:
-8
Step-by-step explanation:
(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear
19x=-152
x=-8
CANNOT!!! be simplified
Answer:
left down
Step-by-step explanation:
do you want an explanation?
Sheri has $15,200 to invest in mutual funds and in bonds. sheri has selected a mutual fund that earns 1% a year and a bond that earns 4% a year. if she wants to earn $548 at the end of the first year, how much does she need to invest into each type of account?
Sheri should invest $2000 in mutual fund and $13,200 in bond.
Let the amount to be invested in mutual fund be x. So, the amount to be invested in bond will be (15,200 - x). Forming the equation now -
1%×x + 4%×(15,200 - x) = 548
x/100 + 60,800/100 - 4x/100 = 548
60,800 - 3x = 54800
3x = 60800 - 54800
3x = 6000
x = 6000 ÷ 3
x = 2000
Amount to be invested in mutual fund = $2000
Amount to be invested in bond = 15,200 - 2000
Amount to be invested in bond = $13,200
Sheri should invest $2000 and $13,200 in mutual fund and bond respectively.
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The growth of the world's population can be represented as A = Aoert, where A is the population at time t, Ao is the
population at t = 0, and r is the annual growth rate. The world's population at the beginning of 2008 was estimated at 6,641,000,000. If
the annual growth rate is 1.2%, in what year will the world population reach 9 billion?
Kim ate 50% of candles in the bag if Kim ate 35 candies how many are left
Answer:
If Kim eats half of the bag, 50%, and 50% is 35 then the other 50%, the other half, is also 35. That means if Kim ate 50% of candies, 35, she has 35 candies left.
Consider the following T bills:
Maturity Bid Ask
8-2 6.36 6.20
8-16 6.42 6.26
The T bills maturing August 2nd (8-2) are being offered at par
a. less a discount to yield 6.20%
b. plus a premium to yield 6.20%
c. less a discount to yield 6.36%
d. plus a premium to yield 6.36%
The correct answers are:
a. less a discount to yield 6.20%
d. plus a premium to yield 6.36%
Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.
To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.
a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.
b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.
c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.
d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.
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GIVING BRAINLIEST!! PLS HELP :((
At least 2 sides of equal length, 2 pairs of parallel sides, & at least 2 right angles.
Which shapes have all the properties shown? Select All That Apply.
A) Isosceles triangle
B) Parallelogram
C) Rectangle
D) Right Triangle
E) Square
F) Trapezoid
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel opposite and equal sides. Similarly, the opposite angles in a parallelogram are equal in measure
Step-by-step explanation:
Answer: Parallelogram
Rectangle
Square
Step-by-step explanation:
Suppose that you will receive annual payments of $27,000 for a period of 21 years. The first payment will be made 4 years from now. If the interest rate is 12.00%, what is the value of the annuity in year 3 , what is the current value of this stream of cash flows? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
The value of the annuity in year 3 is $29,425.34 and the current value of this stream of cash flows is $247,206.56.
To calculate the value of the annuity in year 3, we need to find the present value of all the payments from year 3 onwards. We can use the formula for the present value of an annuity:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, the annual payment is $27,000, the interest rate is 12.00% (or 0.12 as a decimal), and the number of periods is 21 - 3 = 18 (since we're calculating the value in year 3). Plugging in these values, we get:
PV = 27000 * (1 - (1 + 0.12)^(-18)) / 0.12 ≈ $29,425.34
To find the current value of the stream of cash flows, we need to discount each payment to its present value. The first payment is made 4 years from now, so we discount it by (1 + r)^4. The second payment is made 5 years from now, so we discount it by (1 + r)^5, and so on until the 21st payment.
Using the same formula as before, we can calculate the present value of each payment and sum them up:
PV = 27000 / (1 + 0.12)^4 + 27000 / (1 + 0.12)^5 + ... + 27000 / (1 + 0.12)^21 ≈ $247,206.56
Therefore, the value of the annuity in year 3 is $29,425.34 and the current value of this stream of cash flows is $247,206.56.
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How does the solution to a system of equations compare to the solution of a system of inequalities?.
A collection of equations with the same variables is known as a system of equations. The only difference is that you're working with inequalities rather than equations in a system of inequalities.
What are inequalities?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
A system of equations has one solution for each variable, whereas a system of inequalities has a range of possible values for each variable.
Set up the equations as follows:
ax + by = c
dx +ey = f
Let the inequitable system exist:
ax + by <c
dx +ey > f
The same technique, such as graphing, substitution, and elimination, can be used to solve both systems.
But there's a difference because:
A system of equations can only have one solution for each variable, whereas a system of inequalities can have any number of solutions for each variable.
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When the sample of participants is reflective of the characteristics of the population, it is said to be?
It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.
What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.To learn more about generalizable, refer to:
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how is the answer 4??
Answer:
see below
Step-by-step explanation:
log sqrt5 (25) = y
we know that loga (b) = c can be rewritten as a^c = b
sqrt(5) ^ y = 25
Rewriting sqrt(5) as 5^1/2 and 25 as 5^2
5^1/2 ^ y = 5^2
we know a^b^c = a^ (b*c)
5 ^ 1/2y = 5^2
1/2y = 2
y = 4
Find the slope of the line that passes through the points (-4,3) and (2,0)
Answer:
minus one by 2
Step-by-step explanation:
(-4,3) =X1, Y1
(2,0) = X2, Y2
using formula of slope
m= y2 - y1 by x1 - x2
or, m = 0-3 // 2-(-4)
m = minus 3 // 2+4
or , m = -1/2
A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?
The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles
How do i determine the distance traveled?Let the total distance traveled into the country be y.
Now, we shall determine the riding time. Details below:
Speed = 10 mile per hourDistance traveled = yRiding time = ?Riding time = Distance / speed
Riding time = y / 10
Next, we shall obtain the walking time of the cyclist. This is shown below:
Speed = 3 mile per hourDistance traveled = yWalking time = ?Walking time = Distance / speed
Riding time = y / 3
Finally, we shall obtain the total distance traveled. This is illustrated below:
Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?Total time = riding time + walking time
6.5 = y/10 + y/3
6.5 = (3y + 10y) / 30
6.5 = 13y / 30
Cross multiply
13y = 6.5 × 30
13y = 195
Divide both sides by 13
y = 195 / 13
y = 15 miles
Thus, the total distance traveled by the cyclist into the country is 15 miles.
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Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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A substantial fraction of borrowers owe less than $5,000. Who do you think is represented in this debt range
and why might the number of borrowers in this range be so large?
In the debt range, the number of borrowers in this range be so large because of the addition of students who haven't completed college and those who haven't yet repayed their loan.
What is a debt?It should be noted that debt simply means an obligation that requires a debtor to pay the creditor.
In this case, the number of borrowers in this range be so large because of the addition of students who haven't completed college and those who haven't yet repayed their loan.
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Samples of four people were asked whether gun laws should be more stringent. Respondents had a choice to answer "yes" or "no." The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is binomial because the number of people who respond "yes" has binomial distribution not possible to say because the sample size it too small not possible to say because population distribution is not known normal
According to the student question, the sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is binomial because the number of people who respond "yes" has binomial distribution. The correct answer is A.
The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is binomial because the sample size is sufficiently small and each person's response is independent of the others.
Binomial distribution is used to model the number of successes in a fixed number of independent trials, where the probability of success is constant for each trial. In this case, the proportion of people who respond "yes" is the number of successes out of the total number of trials (i.e., 4 people).
Moreover, the responses of each individual are independent of each other, meaning that the probability of one person answering "yes" does not affect the probability of another person answering "yes." The correct answer is A.
Your question is incomplete but most probably your full question was
Samples of four people were asked whether gun laws should be more stringent. Respondents had a choice to answer "yes" or "no." The sampling distribution of the proportion of people who respond "yes" in the samples of 4 individuals is
a. Binomial because the number of people who respond "yes" has binomial distribution
b. Not possible to say because the sample size it too small
c. Not possible to say because population distribution is not known
d. Normal
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What is the whole number part of the decimal 3.07?
Answer:
The 3 is a whole number.
Step-by-step explanation:
According to rules in decimals any number behind or after the decimal point is considered as a decimal because it's less than a whole.
I hope this helps in any way.
What are the coefficient terms and Constants of 10x + 5 + 3x + 1
Answer:
The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.
Step-by-step explanation:
Coefficients = The number that is in front of the variable.
Constant = Any number without a variable.
(Variables are the letters that you may find in an equation or function.)
Hope this helps you :)
Answer:
The coefficient are 10 and 3
The constants are 5 and 1
Step-by-step explanation:
A coefficient is the number in front of any known term.
A constant is a number by itself.
So the coefficient are 10 and 3
The constants are 5 and 1
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the steps below. What was Jada’s error?
Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction
Negative StartFraction 4 over 9 EndFraction (Negative StartFraction 9 over 4 EndFraction) = StartFraction x over 108 EndFraction (Negative StartFraction 9 over 4 EndFraction)
x = negative StartFraction 1 over 48 EndFraction
Jada should have multiplied both sides of the equation by 108.
Jada should have multiplied both sides of the equation by Negative StartFraction 4 over 9 EndFraction.
The product of Negative StartFraction 9 over 4 EndFraction and StartFraction 1 over 108 EndFraction is not equal to Negative StartFraction 1 over 48 EndFraction.
The product of Negative StartFraction 9 over 4 EndFraction and 108 should have been the value of x.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
$86 for 8 hours of babysitting. how much do u make for one hour?
unit rate :
plz help meee