Answer:
50
Step-by-step explanation:
The measure of AU is 50.
What is an arc?An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
Given:
arc QU = 88 and <QUA = 111
QDA = 2 <QUA
= 2 X 111
= 222
Now, QUA = 360- 222 = 138
arc AU = QUA - arc QU
= 138- 58
= 50
Hence, the measure of AU is 50.
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A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?
Answer: A, because the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex]. So, if the point of the center is [tex](5,7)[/tex] and the radius [tex]2[/tex] , then on the equation should be changed as negative and the radius should be multiplied as [tex]4[/tex], which is [tex](x-5)^2+(y-7)^2=4[/tex]
(PLEASE HELP) Evaluate the expression 2(8 − 4)^2 − 10 ÷ 2.
A. 11
B. 27
C. 56
D. 59
Answer:
27
Step-by-step explanation:
please tell me if i am wrong
A survey of 47 people was conducted to compare their self-reported height to their actual height. the difference between reported height and actual height was calculated. you're testing the claim that the mean difference is greater than 1. from the sample, the mean difference was 1.2, with a standard deviation of 0.78. calculate the test statistic, rounded to two decimal places
Answer: The test statistic is 1.75.
Step-by-step explanation:
Since we have given that
n = 47
First mean difference = 1
and second mean difference = 1.2
Standard deviation = 0.78
So, the value of test statistic would be
[tex]t=\dfrac{\bar{x_1}-\bar{x_2}}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{1.2-1}{\dfrac{0.78}{\sqrt{47}}}\\\\t=\dfrac{0.2}{0.114}\\\\t=1.754[/tex]
Hence, the test statistic is 1.75.
The test statistic for the sample showing the difference between reported and actual height, with a mean difference of 1.2 inches, standard deviation of 0.78, and sample size of 47, is 1.96 when rounded to two decimal places.
Explanation:The test statistic for a sample where the population standard deviation is unknown and the sample size is small can be calculated using a t-test. The formula for the test statistic in a one-sample t-test is t = (\bar{X} - \mu) / (s/\sqrt{n}), where \bar{X} is the sample mean, \mu is the population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.
In this case, we are testing the claim that the mean difference in reported and actual height is greater than 1 inch. The null hypothesis (H0) is that the mean difference is less than or equal to 1 inch, and the alternative hypothesis (H1) is that the mean difference is greater than 1 inch. Given a sample mean difference of 1.2, a sample standard deviation of 0.78, and a sample size of 47, the test statistic is calculated as follows:
t = (1.2 - 1) / (0.78/\sqrt{47})
After calculating and rounding to two decimal places, the test statistic is approximately 1.96
Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space, m, end text, and the tire revolves 1.51.51, point, 5 times per second. What is the distance Benjamin travels in 100100100 seconds
Answer:
420 meters
Step-by-step explanation:
Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?
Given:
Circumference of circular tire = 2.8 meters
Tire revolves per second = 1.5 times
Question asked:
What is the distance Benjamin travels in 100 seconds?
Solution:
Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.
Now, by unitary method:
In 1 second, tire revolves = 1.5 times
In 100 seconds, tire revolves = 1.5 [tex]\times[/tex] 100
= 150 times
Distance covered by the tire when it revolves 1 time = 2.8 m
Distance covered by the tire when it revolves 150 times = 2.8 [tex]\times[/tex] 150
= 420 meters
Therefore, Benjamin travels 420 meters in 100 seconds.
Answer:
420 meters
Step-by-step explanation:
Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?
Given:
Circumference of circular tire = 2.8 meters
Tire revolves per second = 1.5 times
Question asked:
What is the distance Benjamin travels in 100 seconds?
Solution:
Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.
Now, by unitary method:
In 1 second, tire revolves = 1.5 times
In 100 seconds, tire revolves = 1.5 100
= 150 times
Distance covered by the tire when it revolves 1 time = 2.8 m
Distance covered by the tire when it revolves 150 times = 2.8 150
= 420 meters
Therefore, Benjamin travels 420 meters in 100 seconds.
The time is 1:25 A.M. What time will it be in 6 hours and 55 minutes?
Answer:
8:20 am
Step-by-step explanation:
Rosa picked some peaches from one tree, and then she picked 8 peaches from a different tree. She gave 10 peaches to Sten. She has 12 peaches left. How many peaches did Rosa pick from the first tree?
Answer:
14
Step-by-step explanation:
she had 22 in all take away 8 then you get 14.
take away 8 because they came from another tree
Answer:
14 peaches
Step-by-step explanation:
10-8=2+12=14
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
a. [tex]32 \pm 1.645\sqrt{\frac{(32)(18)}{50}}[/tex]b. [tex]32 \pm 1.96\sqrt{\frac{(32)(18)}{50}}[/tex]c. [tex]0.64 \pm 1.282\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]d. [tex]0.64 \pm 1.645\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]e. [tex]0.64 \pm 1.96\sqrt{\frac{(0.64)(0.36)}{50}}[/tex]
Answer: D
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 50
x = 32
p = 32/50 = 0.64
q = 1 - 0.64 = 0.36
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.01/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.64 ± 1.645√(0.64)(0.36)/50
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be packaged in a container that is in the shape of a trapezoid instead of a rectangle. A trapezoid has a base of 12 inches, height of 10 inches, and top side length of 10 inches. A rectangle has a base of 12 inches and height of 10 inches. What is the difference in area between the two packages
Answer:
10 Square Inches
Step-by-step explanation:
Trapezoid
Base =12 inches
Height =10 inches
Top side= 10 inches.
Area of a Trapezoid[tex]=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$[/tex]
[tex]=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches[/tex]
Area of the Trapezoid=110 Square Inches
Rectangle
Base = 12 inches
Height =10 inches.
Area of a Rectangle=Base X Height
=12 X 10
=120 Square Inches
Difference in Area between the two packages
Difference=Area of Rectangle-Area of Trapezoid
=120-110
=10 Square Inches
Answer:
10 Square Inches
Step-by-step explanation:
Find the GCF of 10 and 35.
A: 3
B: 4
C: 5
D: 6
i will give brainliest
Answer:
C. 5
Step-by-step explanation:
Find the factors of 10 and 35
Factors of 10:
1,2, 5, 10
Factors of 35:
1,5,7, 35
The greatest common factor between both is 5, so C is correct
Work out the area of this semicircle take pie to be 3.142 and write down all the digits given by your calculator 18cm
Final answer:
The area of the semicircle is 0.051 square meters.
Explanation:
The area of a semicircle can be found using the formula A = πr²/2, where r is the radius of the semicircle. In this case, the radius is given as 18 cm. So, substituting this value into the formula, we get A = 3.142 x (18 cm)²/2. Now, let's calculate the area step by step:
Convert the radius to meters: 18 cm = 0.18 m
Square the radius: (0.18 m)² = 0.0324 m²
Multiply by π and divide by 2: 0.0324 m² x 3.142 / 2 = 0.051 m²
Therefore, the area of the semicircle is 0.051 square meters.
What is the correct factorization of
x² + 5x – 6?
0 (x - 1) (x + 6)
o (x + 1) (x – 6)
o (x - 2) (x – 3)
O (x - 2) (x + 3)
Answer:
(x-1)(x+6)
Step-by-step explanation:
Answer:
What is the correct factorization of x2 + 5x – 6?
A.) (x – 1) (x + 6)
Complete the factorization shown: 3 then 2 are the blank numbers
Step-by-step explanation:
The price of a new motorcycle is $7000, but the value of the motorcycle drops by 9% each year. The function v(f) = 7000 • 0.91 models this situation for v dollars and t years. What is a realistic domain for this situation?
The domain is the set of all possible input values for the function. In this case, the realistic domain for this situation would be 0 ≤ t ≤ 25, indicating the number of years from the time the motorcycle is purchased up to 25 years later.
Explanation:The domain of a function in mathematics defines the set of input values for which the function is defined. In this case, the function [tex]v(t) = 7000 \times 0.91^t[/tex]is used to calculate the value of a motorcycle, where t is the number of years after the motorcycle was bought.
As time can't be negative in this real-world scenario, the smallest value for t is 0, representing the moment the motorcycle is bought. Theoretically, t can be any positive number, although it may not be practical to consider values of t that are too large, because the value of the motorcycle will decrease significantly after several years due to depreciation.
Again, if we assume that the motorcycle will be completely worthless after 25 years, a realistic domain would be 0 ≤ t ≤ 25, that is, from the year the motorcycle is bought to 25 years afterward.
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What is the measure of Arc NM?
a: 55
b: 60
c: 120
d: 125
please help ive been stuck on this question for so long i dont understand how to do this
Answer:
a: 55°
Step-by-step explanation:
The measure of arc NM is the same as the measure of the central angle that intercepts it: Q. The sum of the central angles of a circle is 360°, so ...
Q = 360° -120° -60° -65° -60° = 55°
The measure of arc NM is 55°.
What are the coordinates of the point on the directed line segment from (5, -5)(5,−5) to (7, 7)(7,7) that partitions the segment into a ratio of 3 to 1?
Answer:
The coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is (6.5, 4)
Step-by-step explanation:
Here we have the points on the line given as
(5, -5) and (7, 7)
Therefore to the distance between the x and y coordinates are;
x-coordinate difference, 7 - 5 = 2 and
y-coordinate difference, 7 - (-5) = 12 and
The required ratio is 3:1, that is 3 portions on one side and 1 portion on the other.
Therefore, the total portion of the line is 3 + 1 = 4
So we divide each of the differences between x and y by 3/4 and add it to the coordinate of the first point on the line as follows
x-coordinate difference × 3/4 = 2×3/4 =1.5
y-coordinate difference × 3/4 = 12×3/4 = 9
Therefore, the coordinate of the point on the line segment from (5, -5) to (7, 7) that partitions the segment into a ratio of 3 to 1 is
x-coordinate = 5 + 1.5 = 6.5
y-coordinate = -5 + 9 = 4
or (6.5, 4).
Answer:
(6.5,4)
Step-by-step explanation:
It looks a little sketchy but its correct
Use a sample n= 840 , p = 0.25, and a confidence level to construct a confidence interval estimate of the population proportion ,p.
The population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.
To construct a confidence interval estimate for a population proportion [tex]\( p \),[/tex] you can use the following formula:
[tex]\[ \text{Confidence Interval} = \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \][/tex]
where:
[tex]- \( \hat{p} \)[/tex]is the sample proportion.
[tex]- \( Z \)[/tex] is the Z-score corresponding to the desired confidence level.
[tex]- \( n \)[/tex] is the sample size.
In this case:
[tex]\( n = 840 \)[/tex]
[tex]\( \hat {p} = 0.25 \)[/tex]
The confidence level is not specified, so let's assume a common confidence level of 95%. For a 95% confidence level, the Z-score is approximately 1.96.
Substitute these values into the formula:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(1-0.25)}{840}} \][/tex]
Now, calculate the values:
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.25(0.75)}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \sqrt{\frac{0.1875}{840}} \][/tex]
[tex]\[ \text{Confidence Interval} = 0.25 \pm 1.96 \times 0.0132 \][/tex]
Now, compute the upper and lower bounds of the confidence interval:
[tex]\[ \text{Lower Bound} = 0.25 - (1.96 \times 0.0132) \][/tex]
[tex]\[ \text{Upper Bound} = 0.25 + (1.96 \times 0.0132) \][/tex]
Finally, round the values to an appropriate number of decimal places. The confidence interval for the population proportion p is:
[tex]\[ \text{Confidence Interval} = (0.224, 0.276) \][/tex]
So, with 95% confidence, the population proportion [tex]\( p \)[/tex] is estimated to be between 0.224 and 0.276 based on the given sample data.
8. Mr. Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary
after his raise?
Answer:
75/2=32.5
Step-by-Step explanation
15/24 x 100
3/8 x 100
3/4 x 50
3/2 x 25
Juan drove his car on a vacation trip. His odometer Read 1460.3 when he began and 1830.2 at the end. If he used 20 gallons of gas how many miles per gallon did he get
Answer:
Juan got 18.50 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Odometer in the beginning of trip = 1460.3 miles
Odometer at the end of trip = 1830.2
Gallons of gas used for trip = 20 gallons
Distance of trip =
= Odometer at the end of trip - Odometer in the beginning of trip
[tex]=1830.2-1460.3\\=369.9\text{ miles}[/tex]
Thus, the trip was of 369.9 miles.
Miles per gallon =
[tex]=\dfrac{\text{Distance cover in trip}}{\text{Gallons of gas used}}\\\\=\dfrac{369.9}{20}\\\\=18.495\approx 18.50\text{ miles per gallon}[/tex]
Thus, Juan got 18.50 miles per gallon.
What is the slope of the line that passes through the points (3, 6)(3,6) and (1, 2) ?(1,2)
Answer:
-2
Step-by-step explanation:
Using the slope theorem:
[tex]m=\frac{y_{1}-y_{0}}{x_{1}-x_{0}}[/tex]
[tex]\frac{6-2}{1-3} = \frac{4}{-2} =-2[/tex]
The slope of a line passing through two points can be calculated using a formula. In this case, the slope of a line passing through (1, 0.1) and (7, 26.8) is found to be 4.45.
The slope of a line passing through two points (x₁, y₁) and the (x₂, y₂) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Plugging in the values of the points (1, 0.1) and (7, 26.8) into the formula, we get:
m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45
Therefore, the slope of the line passing through the points (1, 0.1) and (7, 26.8) is 4.45.
You interview all of your family members at a picnic and record their age and shoe sizes. The data is shown in the table. Which number summarizes all of the data points in the age column with a single number? A.1.1 B.4 C.9.2 D.11
Answer:
no
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
20 POINTS Can someone help me this?
Answer:
Area of the shaded region= 80.4 cm²
Step-by-step explanation:
Area of the square = 10×10 cm² = 100cm²
Area of the circle= πr²=π(2.5)²=3.14 ×6.25cm²
= 19.625 cm ²
Area of the shaded region= 100cm²-19.625cm²
= 80.375cm²
= 80.4 cm²What is the value of x if the volume of the cone is 12 pi m3
Answer:
Height of the cone = 4 m
Step-by-step explanation:
Given:
Volume of a cube = (12π) m^3
Radius of the cone = (6/2) m = 3 m
We have to find the value of "x".
And "x" is the height of the cone from the figure shown.
Formula to be used:
Volume of the cone: 1/3(πr^2h)
Here height = "x"
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 h}{3}[/tex]
⇒ [tex]V_c_o_n_e=\frac{\pi r^2 x}{3}[/tex]
⇒ [tex]3\times V_c_o_n_e=\frac{\pi r^2 x}{3}\times 3[/tex]
⇒ [tex]3\times V_c_o_n_e=\pi r^2 x[/tex]
⇒ [tex]\frac{3\times V_c_o_n_e}{\pi r^2} =\frac{\pi r^2\times x}{\pi r^2}[/tex]
⇒ [tex]x=\frac{3\times V_c_o_n_e}{\pi r^2 }[/tex]
⇒ [tex]x=\frac{3\times 12\pi }{\pi (3)^2 }[/tex]
⇒ [tex]x=\frac{36\pi }{9\pi }[/tex]
⇒ [tex]x=\frac{36}{9}[/tex]
⇒ [tex]x=4[/tex] meters.
The height of the cone "x" = 4 meters option A is the right choice.
1. 130 2/3 ft3
2. 226 in.3
3. 33 cm3
4. 4 m
5. 15 m
Dimitri determined that the ordered pair (2, –2) is a solution to the system of linear equations 7x + 9y = –4 and 5x – 2y = 6 as shown.
He mixed up the coordinates of the ordered pair when substituting it into the equations 7x + 9y = –4 and 5x – 2y = 6.
He checked the equation 7x + 9y = –4 first when he should have checked first.
He made a mistake in his calculations when substituting the ordered pair into the equation 7x + 9y = –4 and simplifying.
He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
Answer: D. He made a mistake in his calculations when substituting the ordered pair into the equation 5x -2y =6 and simplifying.
Step-by-step explanation: I got the answer correct on a test. Hope this helps!
The ratio of girls and boys in a swimming club was 2:5 .There we’re 20 girls.How many boys were there at the club?
Answer:
50
Step-by-step explanation:
divide 20 girls by 2 girls to get 10.
multiply 5 by 10 to get 50 boys.
This is the initial tableau of a linear programming problem. Solve by the simplex method.
Answer:
Step-by-step explanation:
We start by selecting our pivot column as the most negative value on the bottom row.
This means our pivot column is [tex]x_{1}[/tex]. We now generate a new column by diving our pivot value by our value on the right-most column. This gives us (on a new row)
P/V
12/1 = 12
4/2 = 2
4/1 = 4
We pick our smallest positive value to be our pivot row.
This means our pivot row is our second row, and our pivot column is our first column. We now divide our entire row by our pivot point (our intersection of these two pivots)
This gives us our new second row as
1 3 0 1/2 0 0 2
now we need to eliminate our [tex]x_1[/tex] values from our other rows.
old row 1 - new row 2 gives us new row 1
row two stays the same
old row 3 - new row 2 gives us new now 3.
old row P + 2 new row 2 gives us new row P
After the first iteration of this algorithm this gives our tableau as: (see attached screenshot)
ten years ago, a printing company charged $15 to produce 100 ten-page brochures. every year, the cost increased by 2%
Answer:
C[10] = $18.28
Step-by-step explanation:
What is 0.090 % of the US population?
Answer:
9/100
Step-by-step explanation:
It would be 9/100 as a fraction if thats what your asking!
I WILL GIVE YOU CROWN FOR ANSWER
k has two dispensers that can each hold 1.25 liters. She fills them with liquid hand soap from a store that charges $0.19 for every 50 milliliters of soap.
How much does it cost Anouk to fill both of her dispensers with hand soap?
Enter your answer in the box.
$
To find out the amount of milliliters from liters, multiply the value by 1000. This would give us 1250 mL of soap. Divide this by 50 to figure the amount of money it would take. 25, so multiply that by $0.19, $4.75 per bottle, and then multiply that by two.
Answer: $4.75 for one bottle and $9.50 for both bottles
A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. she will only accept the shipment if there is clear evidence that this proportion is less than 0.06 she selects a simple random sample of 200 apples from the over 20000 apples on the truck to test the hypotheses h0: p = 0.06, ha: p < 0.06. the sample contains 9 rotten apples. the p-value of her test is
Answer:
The p-value of her test is 0.15386.
Step-by-step explanation:
We are given that a buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten.
She selects a simple random sample of 200 apples from the over 20000 apples on the truck and the sample contains 9 rotten apples.
Let p = proportion of of apples in the shipment that are rotten.
SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.06 {means that the proportion of apples in the shipment that are rotten is equal to 0.06}
Alternate Hypothesis, [tex]H_A[/tex] : p < 0.06 {means that the proportion of apples in the shipment that are rotten is less than 0.06}
The test statistics that will be used here is One-sample z proportion statistics;
T.S. = [tex]\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = proportion of apples that are rotten in a sample of 200 apples = [tex]\frac{9}{200}[/tex] = 0.045
n = sample of apples = 200
So, test statistics = [tex]\frac{0.045 -0.06}{{\sqrt{\frac{0.045(1-0.045)}{200} } } } }[/tex]
= -1.02
The value of the test statistics is -1.02.
Now, P-value of the test statistics is given by;
P-value = P(Z < -1.02) = 1 - P(Z [tex]\leq[/tex] 1.02)
= 1 - 0.84614 = 0.15386
Hence, the p-value of her test is 0.15386.
Using the z-distribution, it is found that the p-value for her test is of 0.1867.
The null hypothesis is:
[tex]H_0: p = 0.06[/tex]
The alternative hypothesis is:
[tex]H_a: p < 0.06[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.06, n = 200, \overline{p} = \frac{9}{200} = 0.045[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.045 - 0.06}{\sqrt{\frac{0.06(0.94)}{200}}}[/tex]
[tex]z = -0.89[/tex]
The p-value is found using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, with z = -0.89, and is of 0.1867.
You can learn more about the use of the z-distribution for an hypothesis test at https://brainly.com/question/25912188
name the highlighted angle
Answer:
not able to see the angel
Step-by-step explanation:
PreCalc help with sums. I will mark brainliest. (also can you explain WHY you got what answer you got? Thanks)
Answer:
8
Step-by-step explanation:
a = -4
r = 16/-4 = -4
Sn = a(r^n - 1)/(r - 1)
52428 = -4[(-4)^n - 1]/(-4-1)
(-4)^n - 1 = 65535
(-4)^n = 65536
Means n is even
(4)^n = 65536
nln(4) = ln(65536)
n = 8