Answer:
The total he would have to pay back would be $7,320.44
Step-by-step explanation:
(I'm assuming you want the total amount he needs to pay back)
6700 x 0.10 = 670 per year
670 ÷ 365 = 1.835616438356164
1.835616438356164 × 338 = 620.44
620.44 + 6700 = 7,320.44
22 out of the 55 teachers in a
school staff meeting were first-year
teachers. What percentage of the
teachers in the meeting were first-
year teachers?
Answer:
40%
Step-by-step explanation:
Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.
A nickel has a diameter of 21.21 millimeters. What is the area of the face of a nickel? Use 3.14 for π . Round to the nearest hundredth if necessary.
The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
As the surface of nickel is in shape of 2-D circle.
radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm
Area of circle= [tex]\pi r^{2}[/tex]
= 3.14* 21.21*21.21
= 353.143 [tex]mm^{2}[/tex]
= 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
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in standard form for properties of exponents
Answer:
1 / 64
Step-by-step explanation:
(2^2)^-3
apply exponent rule: (a^b)^c = a^(bc) a ≥ 0
2^((2) - 3)
((2) - 3) = -6
2^-6
apply exponent rule: a^-b = 1 / a^b
2^-6 = 1 / 2^6
2^6 = 64
1 / 64
Let me know if you have any questions !
What’s the Square root of 13.33
Answer:
3.65102725271
Step-by-step explanation:
The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.
a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)
b. What is the 95% confidence interval for the population proportion?
The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
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A random sample of 87 eighth grade students’ scores on a national mathematics assessment
test has a mean score of 283. The test results prompts a state school administrator to declare
that the mean score for the eighth graders on the exam is more than 280. Assume the
population deviation is 37. At α = 0.14, is there enough evidence to support the administrator’s
claim?
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
What is a statistical hypothesis?A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
[tex]\mathbf{H_o \leq 283}[/tex]
The alternative hypothesis:
[tex]\mathbf{H_i > 283}[/tex]
From the population deviation, the Z test for the true mean can be computed as:
[tex]\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]
[tex]\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}[/tex]
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
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In Autobiography by Abraham Lincoln, Lincoln avoids embellishing on his own life and keeps his portrayal of his life very_____.
A. neutral
B. negative
C. humorous
Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.
What is an Autobiography?An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.
For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.
We can conclude that Lincoln kept his portrayal of his life very: A. neutral.
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what 6+6+6+6+6+6=----------------------------
Mark brainiest
Answer:
36
Step-by-step explanation:
calculate the 6+the Other 6 together
Answer:
36
6 + 6 + 6 + 6 + 6 + 6 is the same as saying 6 × 6, because you are adding 6 to itself 6 times, which gives you 36.Find the slope of a line parallel to -3x+7y=-15
Answer:
[tex] \boxed{\rm \: Slope = 3/7 \: x}[/tex]
Step-by-step explanation:
Given :
3x+7y=-15To Find:
The slopeSolution:
Well,to find out the slope of the line here, we'll need to re-write the fully solved equation into slope - intercept form.
[tex] \boxed{ \rm \: y = mx = b}[/tex]
Here,
m = slopeb = y - intercept.[Add 3x to both sides to the original equation:]
[tex] \rm \: 7y = - 15 + 3x[/tex]Divide each term in this equation by 7:
[tex] \cfrac{7y}{7} = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex][tex] \rm \: y = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex]Now rewrite this equation into slope-intercept form.
[tex]y = mx + b[/tex]Plug values.
[tex]y = \cfrac{3x}{7} - \cfrac{15}{7} = \cfrac{3}{7} x - \cfrac{15}{7} [/tex] > So , y - intercept is 15/7> Slope m is 3/7 x.Hence,we can conclude:
The slope of the line parallel to -3x+7y=-15 is 3/7 x.[tex] \rule{225pt}{2pt}[/tex]
An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.
The 95 % confidence interval (use z*) is:
____ to ____
(to 3 decimals)
Using the z-distribution, it is found that the 95% confidence interval is given by:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
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Gertrude climbs a 8-meter tower to ride a straight water slide. The
slide is 33 meters. After landing in the splash pool, how far does she
walk to get back to the base of the tower? Provide an answer accurate
to the nearest tenth.
33 m
8 m
walk
label required
Answer:
Hello,
11.2 is your answer!
Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!
Step-by-step explanation:
Okay so this is clearly a pythagorean theorem question....
Imagine a ladder on a wall..... its kinda like a triangle.....
with that said... lets begin the math... A^2 + B^2 = C^2
The problem itself gives us c and a.
We have to solve for b.
33^2 - 8^2= b^2
1089 - 64 = 1025 = b^2
notice that we found b^2 but we are looking for b
so we have to take the square root....
√1025= 11.18
it says round to nearest tenth.... sooooo
11.2 is your answer!
Determine whether the function x2 = –y – 2 is quadratic or not. Explain.
Answer:
Yes, it is.
Step-by-step explanation:
A quadratic function always has [tex]x^{2}[/tex] [tex]x[/tex]≠0The function x² = -y - 2 is a quadratic function.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
The function is x² = -y - 2
Rearranging the function:
y = x² - 2
A quadratic function is always of the form:
y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.
We can write y = x² - 2 as:
y = x² + 0(x) - 2, here a = 1, b = 0, c = -2
Hence, the function x² = -y - 2 is a quadratic function.
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Find m WVT
A. 53
B. 45
C. 40
D. 50
Answer:
ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53
Adriano loves anime and collect toys from his fav series. Each month he gains 4 toys. If Adriano has 3 toys when he start collecting, how many dose he have in 4 months.
Answer:
19 toys
Step-by-step explanation:
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
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If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
Answer:
[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]
Step-by-step explanation
[tex]A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\: \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}[/tex][tex]\rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}[/tex]Jenny is putting 11 books in a row on her bookshelf. She will put one of the books, The Iliad, in the first spot. She will put another of the books, The Odyssey, in the last spot. In how many ways can she put the books on the shelf?
what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.
Step-by-step explanation:
[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]
please help asap giving brainiest and lots of points! this is an easy math/ engineering question if you dont know theres online calculators just pls help!
The initial velocity of a projectile is 57 m/sec, and the firing angle is 22°. Calculate the horizontal distance.
a 230 meters
b 330 meters
c 430 meters
d 130 meters
Answer:
a 230 metera 230 metersa 230 metersa 230 metersa 230 metersa 230 meters
Please help! 5th-grade math!
It is a quadrilateral, parallelogram, and a rhombus
Answer:
quadrilateral, parallelogram, and rhombus.
Step-by-step explanation:
All quadrilaterals have 4 sides, all parallelograms have 2 sets of parallel sides, and a rhombus has diagonals that bisect each other perpendicularly.
1. If the line 4x - 9y = 0 is tangent in the first quadrant to the graph of y = x³ + c, what is the value of c? 2. Find a formula for the nth derivative of y=+ 1-x 3. Let f(x)=2. Then find a) Critical number(s) of f b) Monotonic intervals (increasing and decreasing intervals) of f c) The intervals on which f(x) is concave up and concave down d) Inflection points of f e) Sketch the graph of f(x) 4. Evaluate f (*¹-2x+¹) dx. please do it
Answer:
Acount is a great place to work for a loved ones like you a few months
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The transformation from f(x) to g(x) can be represented as:
x -> x -2
f(x) -> f(x) + 6
This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.
Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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Fill in the blank
…………………..
Answer:
See below ~
Step-by-step explanation:
Q2
x - 7 > 10x - 7 + 7 > 10 + 7x > 17Q3
3x ≤ 213x/3 ≤ 21/3x ≤ 7Q4
5a - 2 < 185a - 2 + 2 < 18 + 25a < 205a/5 < 20/5a < 4Q5
2t + 8 ≥ -4(t + 1)2t + 8 ≥ -4t - 46t ≥ 126t/6 ≥ 12/6t ≥ 2On a map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Answer:
75 Miles apart
Step-by-step explanation:
I = inches on a map
I=25
3I=75
75 miles apart
A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?
yes because 1 is in the confidence interval
yes because 0 is not in the confidence interval
no because 1 is in the confidence interval
no because 0 is not in the confidence interval
Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:
yes, because 0 is not in the confidence interval.
What are the hypotheses tested?At the null hypotheses, it is tested if the difference is equals to zero, that is:
[tex]H_0: \mu = 0[/tex].
At the alternative hypotheses, it is tested if it is different, hence:
[tex]H_1: \mu \neq 0[/tex].
The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:
yes, because 0 is not in the confidence interval
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The point P = (-15/4, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Considering the equation of the circle graphed on this problem, the value of y is given by:
[tex]y = -\frac{1}{4}[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the circle is centered at the origin, with radius 1, hence the equation is given by:
[tex]x^2 + y^2 = 1[/tex]
Hence, when [tex]x = -\frac{\sqrt{15}}{4}[/tex], the values of y are given by:
[tex]y^2 = 1 - x^2[/tex]
[tex]y^2 = 1 - \frac{15}{16}[/tex]
[tex]y^2 = \frac{1}{16}[/tex]
Looking at the graph, we want the negative value of y, hence:
[tex]y = -\sqrt{\frac{1}{16}}[/tex]
[tex]y = -\frac{1}{4}[/tex]
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Answer: its positive 1/4
Step-by-step explanation: got the question right
Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?
Answer:
160,000 tins
Step-by-step explanation:
To find the number of tins, divide the fill rate by the volume per tin.
__
(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h
160,000 tins of paint can be filled in 1 hour.
_____
Additional comment
That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.
There are 60 minutes per hour. There are 1000 liters per cubic meter.
Bell sells pies each week at the farmers market. She spends $65 on materials and charges $10 per pie. She hopes to make a profit of at least $15 per hour. What constraints might bell want to set?
Answer:
43.33
Step-by-step explanation:
You will start out by putting 65 in time 10 divide by 15 and that will give you your answer
Answer:
43.33
Step-by-step explanation:
You will start out by putting 65 in time 10 divide by 15 and that will give you your answer
click on the picture and please help this is due in 1 hour!
Answer:
4.7 Pounds
Step-by-step explanation:
[tex]14 \div 3≈4.6[/tex]
(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)
