Answer:
Year 1: 164.87
Year 2: 169.88
Year 5: 185.86
Step-by-step explanation:
She is earning 3% interest per year that compounds once yearly.
If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6
The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1 / ( x + 2 )
Now , the value of x > 3
So , the value of f ( x ) = f ( a )
And , when x > 3
f ( 4 ) = 1 / ( 4 + 2 )
f ( 4 ) = 1 / 6
Hence , the function is f ( 4 ) = 1 / 6
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A manufacturer of flashlight batteries took a sample of 130 batteries from a day's production and used them continuously until they were drained. The number of hours until failure were recorded. Given below is the boxplot of the number of hours it took to drain each of the 130 batteries. The distribution of the number of hours is
Answer:
Left skewed
Step-by-step explanation:
The distribution displayed in the boxplot Given is negatively skewed, hence, a left tail skweness. Skewness can be determined in a box plot, if the line of the median cuts or divides the box into unequal halves, such that sides relative to the median are longer Than each other. If the longer side is to the left of the median, we have left skewness; to the right we have right skewness. If the sides are equal, then the distribution is symmetric.
For the scenario above, the longwr side is to the left of the median, hence we have left skewness.
You have just gotten your first job. You have decided you want to take your parents out for dinner to celebrate and you have anticipated it will cost approximately $120 for the three of you to go out for dinner. At your job, you make an hourly wage of $11. How many hours would you need to work to pay for the dinner? What if you wanted to add a 15% tip? Could your strategy also allow you to find out how much money you made for any number of hours?
Answer:
I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
Step-by-step explanation:
Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:
120/11 = X
10.9 = X
11 x 11 = 121
Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.
(120 x 1.15) / 11 = X
138/11 = X
12.54 = X
11 x 13 = 143
Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.
In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.
Plz help me well mark brainliest if correct................?
Answer:
B. 8cm*12cm
Step-by-step explanation:
Area is the product of the two sides:
6*16 = 96
8*12 = 96
10*10 = 100
Perimeter is the sum of all four sides:
6+16+6+16 = 44
8+12+8+12 = 40
The answer is B. 8cm*12cm
find the probability that leap year, selected at random, will contain 53 Sundays.
Answer:
the answer is Hence, a leap year has 52 Sundays
Step-by-step explanation:
I hope this helps
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 households with children revealed the following amounts. 7,077 5,744 6,753 7,381 7,625 6,636 7,164 7,348 8,060 5,848 9,275 7,052 Click here for the Excel Data File State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Is it reasonable to conclude that these households paid more interest than the survey result
Answer:
The null hypothesis is [tex]H_0: \mu = 6658[/tex]
Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.
The test statistic is [tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
Step-by-step explanation:
A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.
At the null hypothesis, we test if they paid the same, that is:
[tex]H_0: \mu = 6658[/tex]
At the alternate hypothesis, we test if they paid more, that is:
[tex]H_a: \mu > 6658[/tex]
Test statistic:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
State the decision rule for 0.05 significance level.
Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.
So
The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.
6658 is tested at the null hypothesis:
This means that [tex]\mu = 6658[/tex]
Sample mean and standard deviation:
With the given data-set:
Mean of [tex]X = 7163.6[/tex]
Standard deviation of [tex]s = 902.25[/tex]
Sample of 12:
This means that [tex]n = 12[/tex]
Compute the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]
[tex]t = 1.94[/tex]
As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result
What is the measure of 4? Please and thank you :)
Answer:
[tex]\angle 2 = 48[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 48[/tex]
Required
Find [tex]\angle 2[/tex]
[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.
So:
[tex]\angle 2 = \angle 1[/tex]
Substitute [tex]\angle 1 = 48[/tex]
[tex]\angle 2 = 48[/tex]
The difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Answer:
spoke out of term and with no true option.
A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.
Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of, without replacement, a senior being chosen first, followed by a sophomore, and followed by a junior?
Answer:
11/320
Step-by-step explanation:
the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.
multiplied by the probability of a sophomore being chosen 10/80 which equals .125.
multiply those together and you get your probability. 0.034375 or 11/320
Ben found 6 tops to add to his 7 tops in his collections. he then had a competition with his friends and quadrupled his tops. I Have To Write a numerical expression to model this situation without performing any operations but I'm Just So Confused Can You Help Me Please.
Answer:
gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
Please help I will give you brainliest
Answer:
Answer is 5 3/4
Step-by-step explanation:
Thanks Hope this helps
The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3 gram per milliliter.
Answer:
The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.
The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.
Step-by-step explanation:
95% confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]
[tex]M = 0.85[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.
The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.
The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.
99% confidence level:
By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]
[tex]M = 1.12[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.
The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.
The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.
Use the following rectangle to solve for the values of X.
Answer:
[tex]x = 8.64^o[/tex]
Step-by-step explanation:
Given
The attached rectangle
Required
Find x
To do this, we make use of:
[tex]11x - 5 = 90[/tex] ---- angle at diagonal
Collect like terms
[tex]11x = 5 + 90[/tex]
[tex]11x = 95[/tex]
Solve for x
[tex]x = \frac{95}{11}[/tex]
[tex]x = 8.64^o[/tex] --- approximated
Is (x + 2) a factor of x + 6x2 + 3x – 10?
Answer:
no
Step-by-step explanation:
6x² + 4x - 10 in factored form is:
2(3x+5)(x-1)
Answer:
Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.
Step-by-step explanation:
We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.
[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]
Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.
The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.
[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]
As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].
Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.
What is the area of the shape.
What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*
Answer:
[tex]t_{0.35,14}= 0.3933306[/tex]
Step-by-step explanation:
From the question we are told that:
Degree of freedom [tex]df=14[/tex]
Significance Level [tex]\alpha=0.35[/tex]
Generally the expression for critical value t is mathematically given by
[tex]t_{\alpha,df}[/tex]
[tex]t_{0.35,14}[/tex]
Therefore From Students T Value Table
[tex]t_{0.35,14}= 0.3933306[/tex]
[tex]T-Value (right-tailed): 0.3933306[/tex]
help fast please!!!!!!
Answer:
75
Step-by-step explanation:
7.5 x 5 = 37.5
1/2:1
37.5:74
Also, I did it :D
please find the value of X for number 4 5 and 6 thank you :)
Answer:
4. x = 6
5. x = 31
6. x = 34
Step-by-step explanation:
4. vertical angles
- 36/6 = 6
5. supplementary angles
180 - 56 = 124
124/4 = 31
6. complementary angle
90 - 22 = 68
68/2 = 34
Answer:
4. x = 6°
5. x = 31°
6. x = 34°
Step-by-step explanation:
4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.
6x = 36°
x = 36 / 6
x = 6°
5.
180° - 56° = 4x
124° = 4x
x = 31°
6.
90° - 22° = 2x
68° = 2x
x = 34°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
10 ft
8 ft
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate ni.
A = [ ? ] ft?
Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º.
What is the y-component of the vector?
9514 1404 393
Answer:
CW from north: -78.58 mphCCW from +x: -112.2 mphStep-by-step explanation:
A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.
If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.
We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.
__
If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...
(x, y) = 137(cos(235°), sin(235°))
(x, y) = (-78.58, -112.22)
The y-component is -112.22 miles per hour.
__
If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.
(x, y) = (-112.22, -78.58)
The y-component is -78.58 miles per hour.
_____
Additional comment
We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.
A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference
Answer:
Test statistic = - 0.851063
- 2.520463
Step-by-step explanation:
H0 : μ ≥ 15
H1 : μ < 15
Sample mean, xbar = 14.5
Sample standard deviation, s = 4.7
Sample size = 64
Teat statistic :
(xbar - μ) ÷ (s/√(n))
(14.5 - 15) ÷ (4.7/√(64))
= - 0.851063
The critical value at α = 0.05
Using the T - distribution :
Degree of freedom, df = 64 - 1 = 63
Tcritical(0.05, 63) = 1.6694
Test statistic - critical value
-0.851063 - 1.6694
= - 2.520463
What is the name of this circle?
Circle
Answer:
Minor Sector
Step-by-step explanation:
The price of a computer tablet is $78.00 plus 7% sales tax. What is the sales tax on this computer tablet in dollars and cents?
I NEED THE ANSWER BY 11:55
Answer: The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.
Step-by-step explanation:
can u mark Brainliest
x plus 1 > 3
The souliton is
Answer:
x > 2
Step-by-step explanation:
x + 1 > 3
Subtract 1 from both sides
x + 1 - 1 > 3 - 1
x > 2
A pack of 4 chocolate bars costs £1.20
What is the price per unit?
what is it?
Answer:
0.30 you divided the total by the number of units which is 4
Answer:
£ 0.3
Step-by-step explanation:
Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .
We can simply use Unitary Method here ,as ,=> 4 chocolates costs £1.20 .
=> 1 chocolate will cost £1.20/4 = £ 0.3
Hence the cost of unit is £ 0.3question number eight answer
I think you forgot to attach the picture w/ the question . .
For each function, state whether it is linear, quadratic, or exponential.
Answer:
Function 1: exponential
Function 2: exponential
Function 3: quadratic
Step-by-step explanation:
I used a graphing calculator.
Hope this helps:)
Simplify: 7x + 5y - 6x - y
A. x + 5
B. x + 4y
C. 13x + 5
D. 13x + 6y
Answer:
x+4y
Step-by-step explanation:
Is 3.37 less than 3.368
Answer:
no
Step-by-step explanation:
Answer:
it's not
Step-by-step explanation: