Answers
Step-by-step explanation:
1. simple interest
I= p × r × t
I = 1050 × 4.5 × 2
I = $9450
2. principal
p = I/(rt)
p= 22.50/ (3× 3)
p = 22.50/9
p = $2.5
3. simple interest
I= p × r × t
I = 500 × 5 × 3
I = $7500
4. time
first convert r to decimal
r= r/100, r= 3.5 / 100
r= 0.035
t = i/(pr)
t = 43.75/ (2500× 0.035)
t = 43.75/ 87.5
t = 0.5 year or 6 months
Related Questions
Write 0.721 as a fraction. Show your work.
ASPP
Answers
Answer:
721/1000
Step-by-step explanation:
0.721/1 × 1000/1000=721/1000
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answers
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
An industrial plant claims to discharge no more than 1000 gallons of wastewater per hour, on the average, into a neighboring lake. An environmental action group decides to monitor the plant in case this limit is being exceeded. A random sample of four hours is selected over a period of a week. The observations are 1007, 2226, 2232, 2209.
Required:
a. Find the standard error.
b. To test H0:μ=1000 vs, Ha:μ>1000, find the test statistic. Use the answer from part a for the standard error.
c. Find p-value.
d. Explain how your one-sided analysis implicitly tests the broader null hypothesis that μâ¥1000.
Answers
Step-by-step guivivytfyuyufcfycuycuyfcuycfyfuccyctffcycfg. G
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With the random sampling method, every item in the population has an equal chance of being chosen for the sample. Consequently, the process of chance sampling is another name for it.
What is the standard deviation?The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Therefore, if the impacts of the random changes are more pronounced, the standard error of the mean will be greater; conversely, if there are no random charges, the standard error of the mean will be zero. The formula for the mean's standard error is: M=N.
The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test). The formula for calculating the p-value for a lower-tailed test is: p-value = P(TS ts | H 0 is true) = cdf (ts).
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Which graph represents functions f and g?
f : initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%
A. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on increasing. It passes through the point (5, 175). There is function curve g with initial value starts from (0, 40) and goes on decreasing. It passes through the point (10, 25).
B. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on decreasing. It passes through the point (25, 25). There is function curve g with initial value starts from (0, 40) and goes on increasing. It passes through the point (5, 50). The both curve intersect each other at the point (14, 70).
C. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on decreasing. It passes through the point (25, 75). There is function curve g with initial value starts from (0, 40) and goes on increasing. It passes through the point (15, 125). The both curve intersect each other at the point (14, 115).
D. The graph with the X-coordinate marks 0, 10, 20, and 30; Y-coordinate marks 0, 50, 100, 150, and 200. There is function curve f with initial value starts from (0, 200) and goes on increasing. It passes through the point (2, 225). There is function curve g with initial value starts from (0, 40) and goes on decreasing. It passes through the point (5, 175).
Answers
What is the answer please help no links no links
Answers
NEED HELP ASAP 10 min !!!!!!!!!!!!!!
Answers
Consider the following function.
f(x) = 5*
Complete the following statements about f(x).
The y-intercept of f(x) is
The x-intercept of f(x) is
The end behavior of f(x) is
I need help!
Answers
The x-intercept is at (∞, 0)
The y intercept is (0, 1)
Intercept of a graphThe x-intercept of a graph occurs at the point where y = 0
Given the equation y = 5^x
If y = 0
5^x = 0
xln5 = ln 0
x = ln0/ln5
x = ∞
The x-intercept is at (∞, 0)
y-intercept
The y-intercept occurs at the point where x = 0
y = 5^0
y = 1
Hence the y intercept is (0, 1)
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Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
Answers
The answer is c
A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
Solve for y. 3=7(1-1)
(it isn't 2)
Answers
Answer:
First off, I can't solve for y, there is no y variable.
Second, 3 = 7 ( 1 - 1 ) is not true because 3 ≠ 0 ( 3 doesn't equal 0 ) :
3 = 7 ( 1 - 1 )
3 = 7 ( 0 ) ( Simplify Parenthesis )
3 = 0 ( Multiply 7 and 0 )
3 ≠ 0
Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525
Answers
PLEASE HELP FOR ENVIROMENTAL SCIENCE!!!
Answers
Liquid products were first obtained from coal in England during the 1700s. Lamp oil was produced from coal in the United States as early as 1850, but the domestic coal chemicals industry did not develop until World War I. A modern coal - for - recovery system uses a battery of coke ovens to produce liquid products from coal feed. These observations are obtained on the random variable X, the number of gallons of liquid product obtained per coal feed: (insert data)
7.6 8.2 7.1 10.0 6.5 9.6
6.1 6.2 7.6 6.2 9.5 6.7
7.4 9.5 9.2 8.0 8.5 9.3
8.8 9.6 9.7 6.8 7.1 7.7
8.7 7.8 8.7 8.2 8.2 7.4
9.0 8.8 7.3 7.9 7.1 7.9
7.6 6.7 8.1 6.2 5.3 7.4
7.7 9.1 7.9 8.7 8.4 8.1
a). Construct a stem – and – leaf diagram for these data. Use the numbers 5,6,7,8,9,10 as stems.
b). Is the assumption that X is normally distributed justifiable? Explain.
c). Break these data into six categories
d). Construct a frequency table and relative frequency histogram for these data. Does the histogram exhibit the bell – shape characteristics of a normal density?
e). Construct a cumulative frequency table and relative cumulative frequency ogive for these data. Use the ogive to approximate the probability that a randomly selected ton of coal will yield les than 7 gallons of liquid product.
Answers
Answer:
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
Step-by-step explanation:
a) stem and leaf diagram for these data
stem leaf
5 .3
6 .1, .2, .2, .2, .5, .7, .7, .8
7 .1, .1, .1, .3, .4, .4, .4, .6, .6, .6, .7, .7, .8, .9, .9, .9
8 .0, .1, .1, .2, .2, .2, .4, .5, .7, .7, .7, .8, .8
9 .0, .1, .2, .3, .5, .5, .6, .6, .7
10 0
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
Need answer asap, will give brainliest
Answers
Answer:
35
Step-by-step explanation:
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answers
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
Courtney bought 2 quarts of milk, 4 quarts of orange juice, and 2 quarts of apple juice. How many gallons of liquid did she buy?
Answers
The number of gallons of liquid that Courtney bought is 2 gallons.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
Amount of milk bought = 2 quarts
Amount of orange juice bought = 4 quarts
Amount of apple juice bought = 2 quarts
Total amount of liquid bought = 2 + 4 + 2 = 8 quarts
We have the conversion,
1 quart of liquid = 0.25 gallon of liquid
Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons
Hence the total amount of liquid bought is 8 gallons.
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What’s the slope???????????????
Answers
Answer:
0
Step-by-step explanation:
The slope of a line is obtained thus :
Slope = Rise / Run
Rise = (x2 - x1)
Run = (y2 - y1)
x2 = 3 ; x1 = 0
y1 = - 20 ; y2 = - 20
Slope = (-20 - (-20)) / (3 - 0)
Slope = (-20 + 20) / 3
Slope = 0 / 3
Slope = 0
Hence, the slope or rate of change = 0
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3
Answers
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answers
Answer: 44
Step-by-step explanation:
180-68-68 = 44
The circumference of a circle is 125.6 inches. What is the circle's radius?
Help pls!
Answers
Answer:
i believe the answer is 19.99 inches
I need help solving this problem.
Answers
9514 1404 393
Answer:
8/7
Step-by-step explanation:
[tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]
Answer:
the answer is 8/7
Step-by-step explanation:
:)))))
hurry please i have 2 minutes left
Answers
Answer:
Option D
Step-by-step explanation:
Option A would not be accurate
Option B would not be accurate
Option C wouldn’t be a valid option
Option D would be accurate
Option E wouldn’t be accurate at all
Option F not a good one
What is the value of x
Answers
Temporarily remove base of exponents:
5&5
New equation and subtract to separate x:
x+2=9
-2 -2
x=7
New Equation: 5^7+2=5^9
Answer: X=7
Will all slices created by a slicing plane that passes through a sphere be the same size
Answers
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation:
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answers
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Find the number of distinguishable permutations of the given letters "AABBCCCD".
Answers
Answer:
mother A1 has daughter A2, and
mother B1 has daughter B2, and
mother C1 has daughter C2, and
mother D1 has daughter D2.
Step-by-step explanation:
.
Help please! :) -Substitution Method-
Answers
Answer:
d
Step-by-step explanation:
Simplify using the product rule.
a^4 x a^3
Answers
Answer: the answer to the question is a7x
Step-by-step explanation:
the mult of 5-6 to the power of 76
Answers
9514 1404 393
Answer:
1
Step-by-step explanation:
[tex](5-6)^{76}=(-1)^{76}=((-1)^2)^{38}=1^{38}=\boxed{1}[/tex]
Answer:
the answer is 1
Step-by-step explanation:
:)))))))
HELP ME ASAP PLEASE:(
Answers
Answer:
is B
Step-by-step explanation:
Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?
A.9
B.13
C.20
D.40
E.80
Answers
Answer:
E
Step-by-step explanation: