The x and y nickels and a dime. She has up to 18 coins totaling a minimum of $1.10 in value. In the graphically representation we can see the line intersect each other at point (12,6).
Given that,
The x and y nickels and a dime. She has up to 18 coins totaling a minimum of $1.10 in value.
We have to create a graphic representation of this inequality system and choose a potential resolution.
x + y ≤18----->equation(1)
Amount in pennies: 5x+10y≥110------>equation(2)
solves by eq2 - 5×eq(1)
5x+10y - 5(x+y) = 120 - 5×18
5x + 10y -5x-5y = 120 - 90
5y = 30
y=6
Then x=12
Therefore, x=12, y=6 is the point where two lines converge.
In the graphically representation we can see the equation (1) line and equation (2) line intersect each other at point (12,6).
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A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
A company is conducting sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 7% of its contents being winners, while 6% of the contents of box B are winners. Box A contains 40% of the total tickets. The contents of both boxes are mixed in a drawer. a) If a ticket is selected at random from the drawer, what is the probability that it is a winner
Answer:
Probability of winner = 0.064
Step-by-step explanation:
Given:
Probability of box A = 40% = 0.4
Probability of winning box A = 7% = 0.07
Probability of box B = 1- 40% = 0.6
Probability of winning box B = 6% = 0.06
Find:
Probability of winner
Computation:
Probability of winner = Probability of box A × Probability of winning box A + Probability of box B × Probability of winning box B
Probability of winner = [0.4][0.07] + [0.6][0.06]
Probability of winner = 0.028 + 0.036
Probability of winner = 0.064
Samara Park gets $0.25 for each pound of apricots she dries. How much will she be paid if she dries 16.4 pounds?
Samara will be paid $4.10 for drying 16.4 pounds of apricots.
How to calculate payment?To calculate the payment for the purchase of the item, we can use the formula:
Payment = Rate × Amount
Here, the rate is the amount paid per pound and the amount is the total number of pounds item.
To calculate Samara's payment for drying apricots, we can use the formula:
Payment = Rate × Amount
As per the question, the rate is $0.25 per pound, and the amount is 16.4 pounds.
So, substitute these values into the formula:
Payment = $0.25 × 16.4
Multiply $0.25 by 16.4:
Payment = $4.10
Therefore, Samara will be paid $4.10 for drying 16.4 pounds of apricots.
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Increase £15837.77 by 8.5%
Answer:
32,100 Millimeters
3,210 Centimeters
3.21 Decameters
Hope It Helps
Step-by-step explanation:
HELP ME PLEASEEEEEEE
The manager of a large company that sells pet supplies online wants to increase sales by encouraging repeat purchases. The manager believes that if past customers are offered $10 off their next purchase, more than 40 percent of them will place an order. To investigate the belief, 90 customers who placed an order in the past year are selected at random. Each of the selected customers is sent an e-mail with a coupon for $10 off the next purchase if the order is placed within 30 days. Of those who receive the coupon, 38 place an order.
Required:
a. Is there convincing statistical evidence, at the significance level of a = 0.05, that the managerâs belief is correct? Complete the appropriate inference procedure to support your answer.
b. Based on your conclusion from part (a), which of the two errors, Type I or Type II, could have been made? Interpret the consequence of the error in context.
Answer:
There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.
As the null hypothesis maybe false accepting it makes a type II error.
Step-by-step explanation:
Let the null and alternate hypotheses be
H0: p ≤ 0.4 vs Ha : p>0.4
q= 1-p= 1-0.4= 0.6
The significance level alpha is 0.05
The critical region for one tailed test is Z> ± 1.645
The sample proportion is p^= x/n= 38/90=0.42222
Using the z statistic
z= p^- p/ √pq
z= 0.422-0.4/ √0.4*0.6
z= 0.04536
Since the calculated value of z= 0.04536 does not lie in the critical region Z> ± 1.645 we fail to reject null hypothesis.
There is not sufficient evidence to support the manager's claim.
Type I error is when we reject the true null hypothesis .
Type II error is when we accept the false null hypothesis .
As the null hypothesis maybe false accepting it makes a type II error.
There is not enough statistical evidence that the managers' claim is true.
What is the z test statistic for one sample proportion?Suppose that we have:
n = sample size\(\hat{p}\) = sample proportionp = population proportion (hypothesised)Then, the z test statistic for one sample proportion is:
\(Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}\)
What are type I and type II errors?The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, we've got:
Assumption by manager = Population proportion of repurchase by customers > 0.4Sample size = n = 90Sample proportion of repurchase = 38/90 ≈ 0.422Level of significance = α = 0.05The hypotheses for test would be:
Null hypothesis: Manager is not correct(nullifies managers' assumption): \(H_0: p \leq 0.4\) (p is population proportion of repurchasing customers)Alternate hypothesis: Managers' assumption is true: \(H_1: p > 0.4\)It is single tailed.
At the level of significance 0.05, for single tail, the critical value of Z test statistic is found to be \(Z_{\alpha/2} = \pm1.645\)
The z test statistic for one sample proportion is:
\(Z = \dfrac{\hat{p} - p}{\sqrt{\dfrac{p(1-p)}{n}}}\)
We test null hypothesis, according to which p is 0.4 or less, so we get:
\(Z \approx \dfrac{0.422- 0.4}{\sqrt{\dfrac{0.4(1-0.4)}{90}}} \approx \dfrac{0.022}{\sqrt{0.00267}} \approx 0.426 < |Z_{\alpha/2}| = 1.645\)
Thus, we accept the null hypothesis (we do so when \(Z < |Z_{\alpha/2}|\) )
Therefore, there is not enough statistical evidence that the managers' claim is true.
Thus, here, we get:
Type I error: Rejecting the fact that manager's claim is wrong(and thus accepting that manager's claim is right) when actually manager's claim is wrong.Type II error: Accepting the fact that manager's claim is wrong(and thus rejecting that manager's claim is right) when actually manager's claim is right.Learn more about type I and type II errors here:
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Nia had a 20 inch by 30 inch enlargement made of a photograph. She wanted to have it framed. How many inches of frame would it take to enclose the photo?
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
(3×10 – 4)(2×1010) whats the scientific notion
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
What is scientific notation?A number in scientific notation is given by:
\(a \times 10^b\)
With the base being \(a \in [1, 10)\).
When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.
For this problem, the numbers are given by:
\(3 \times 10^{-4}, 2 \times 10^{10}\)
The result of the multiplication is given by:
\(3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}\)
The result of the multiplication in scientific notation is given by:
\(6 \times 10^{6}\)
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Which of the following is not a Pythagorean triple?
A. (6, 8, 10)
B. (9, 12, 15)
C. (7, 24, 25)
D. (4, 5, 6)
Answer:
D. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
help, surface area. will mark brainliest!
Answer:
3024
Step-by-step explanation:
Find the area of the isosceles triangles, and add then with the three rectangles to get surface area.
14*24/2 * 2 = 336, and you have 25*42 * 2 = 2100, and finally you have 14*42 = 588. so the sum should be 3024
what is the rule for the reflection
Answer:
i think the answer is R y-axis(x,y)=(x,-y).
hope get it...
IS 303 2022 Summer Packet for Incoming
Ms. Hamilton wants to put a decorative iron fence (rather like Winnie's in Tuck Everlasting)
around her yard. The yard is a perfect rectangle: its length is 24.75 feet and its width is 12.75
feet. Home Depot charges $50 a yard for iron fencing.
66.) How many feet of fencing does Ms. Hamilton need to buy?
67.) What do you call the distance around a rectangle?
Math in the Real World (Leave in packet)
68.) Write a detailed explanation of at least 3 ways that you used math this summer (other
completing this packet). How did these skills help you be successful in the real world? W
skills do you hope to develop this year in math?
66) The number of feet of fencing that Ms. Hamilton needs to buy is 75 feet.
67) The distance around a rectangle is called a perimeter.
68) What are the instances of the use of Maths skills?The use of Mathematics skills is all-encompassing. Every activity involves some mathematical calculations and the use of mathematical operations, like additions, subtractions, divisions, and multiplication.
When you visit a Merchandise Store, you undertake some mathematical activities by computing how much is needed and the balance you will get. Future projections depend on maths skills.
For instance, budgeting how much it costs you weekly to maintain your hairstyle also involves maths skills.
As you return to school after the summer breaks, you decide how much savings you must spend. It is maths. Any time calculations are involved, it requires maths.
Data and Calculations:Length of the yard = 24.75 feet
Width of the yard = 12.75 feet
Perimeter of the yard = 75 feet (24.75 + 12.75)2
Charges for a yard of iron fencing = $50 per yard
3 feet = 1 yard
75 feet = 25 yards (75/3)
The cost of 25 yards = $1,250
Thus, Ms. Hamilton will need to spend $1,250 on this decorative iron fence project.
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Maria doesn’t address a notice that she received earlier regarding some incomplete information in her patent application. What notice does the patent office send her regarding this? A. Notice of Allowance B. Non Final Office Action C. Final Office Action D. Examiner's Amendment
Answer:
D. Examiner's Amendment
Step-by-step explanation:
Maria most likely received an Examiner's Amendment letter from the Patent Office regarding her patent. This letter is sent when there are informalities, errors, or missing information from the submitted patent. It is sent to the individual that submitted the patent so that they may correct these and resubmit so that the patent office can continue verifying the patent with all the necessary information to continue the process. Since Maria's patent had incomplete information this was most likely what she received.
Answer:
the correct answer is C. Final Office Action
Step-by-step explanation:
i just took the test and i got it right, edmentum
3/4 = m + 1/4
What is m? m = ?
Answer 3/4 = m + 1/4 is 2/4
Explanation.3/4 = m + 1/4
m = 3/4 - 1/4
m = (3 - 1)/4
m = \(\frac{2}{4}\)
__________________
Class: Elementary School
Lesson: Fractions
\(\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}\)
Brenda is considering renting a car for the weekend. The weekend daily rate is $29.99. If she plans
on picking up the car on Friday morning and returning it Sunday evening, what is her total rental cost?
5. What name is given to the price dealerships pay for vehicles
Answer:
59.99
Step-by-step explanation:
superwetmonsterexpo
Answer:
89.97
Step-by-step explanation:
29.99 * 3 = 89.97
Need Help (look at the image)
Step-by-step explanation:
-2x + 8 = -4
=> 8 + 4 = 2x
=> 12 = 2x
=> x = 12/2
=> x = 6 (Ans)
Answer:
x= 6
Step-by-step explanation:
-2x + 8 = -4
-8 -8 subtract 8 on both sides to get the variable (x) by itself
-2x = -12 bring down the remaining numbers
/-2 /-2 put both sides over -2 in order to have "x" by itself
x= 6 solve
On May 6, Jim Ryan borrowed $14,000 from Lane Bank at 712% interest. Jim plans to repay the loan on March 11. Assume the loan is on ordinary interest. How much will Jim repay on March 11?
The amount to be repaid by Jim Ryan is $14,891.78.
Given that, Principal (P) =$14,000, the rate of interest (R) =7\(\frac{1}{2}\)% and T=310 days.
What is ordinary interest?Ordinary interest is calculated on the basis of a 360-day year or a 30-day month; exact interest is calculated on a 365-day year.
Now, the interest=14,000×7.5 %×\(\frac{310}{365}\).
=$891.78
The amount to be repaid=14,000+891.78=$14,891.78
Therefore, the amount to be repaid by Jim Ryan is $14,891.78.
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plz help i will give brainliest and i will report you if you post a link
Answer:
$11,640
Step-by-step explanation:
A quadratic equation, y = ax^2 - 6x + 10, has exactly one real root. Calculate the value of a.
Answer:
a = 0.9
Step-by-step explanation:
For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.
For the given equation:
\(y = ax^2 - 6x + 10\),
• a = a
• b = -6
• c = 10.
Substituting these values into the formula for discriminant, we get:
\((-6)^2 - 4(a)(10) = 0\)
⇒ \(36 - 40a = 0\)
⇒ \(36 = 40a\)
⇒ \(a = \frac{36}{40}\)
⇒ \(a = \bf 0.9\)
Therefore the value of a is 0.9 when the given quadratic has exactly one root.
I need help for questions 1,2 and 3 thanks
Answer:
1. 5km/hr
2. 165km/hr
3 2.5m/s
Answer:
1 6.32km/h
2 The average speed of the helicopter will be 96km/ hr or 1.6km/min.
3 2.5 m per second
4 0.002 km/h
Step-by-step explanation:
hope this helps
I need help with my homework
The lengths of the other two sides is 6 inches each.
The perimeter of any figure is sum of all the sides of the figure.
Here, we are given that the area of a triangle is 18 inches. Also, in the figure, we can see that the 3 sides of the triangle are-
6 inches, s inches and s inches.
Therefore, the perimeter of the given triangle will be-
Perimeter = 6 + s + s
⇒ 18 = 6 + s + s
Thus, the equation to find the lengths of the two sides is-
18 = 6 + 2s
18 - 6 = 2s
12 = 2s
2s = 12
s = 12/ 2
s = 6
Thus, the lengths of the other two sides is 6 inches.
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The historical returns on a balanced portfolio have had an average return of 5% and a standard deviation of 14%, Assume that returns on this portfolio follow a normal distribution. (You may find it useful to reference the z table.) a. What percentage of returns were greater than 33%? (Round your final answer to 2 decimal places.) Percentage of returns = %
b. What percentage of returns were below -37%? (Round your final answer to 2 decimal places.) Percentage of returns %
The percentages of returns are given as follows:
a. Greater than 33%: 2.28%.
b. Below -37%: 0.13%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The parameters for this problem are given as follows:
\(\mu = 5, \sigma = 14\)
The proportion above 33% is the one subtracted by the p-value of Z when X = 33, hence:
Z = (33 - 5)/14
Z = 2.
Z = 2 has a p-value of 0.9772.
1 - 0.9772 = 0.0228 = 2.28%.
The proportion below -37% is the p-value of Z when X = -37, hence:
Z = (-37 - 5)/14
Z = -3.
Z = -3 has a p-value of 0.0013.
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the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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If the standard deviation of a data set were originally 4, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 3
B. 4
c. 7
D. 1
Please help
Answer:
it's a.
Step-by-step explanation:
you have to find the mean
Solve for p: -9 + p < 15
A. p > 24 B. -p > 6 C. p < 24 D. -p < -6
Answer:
p<24
Step-by-step explanation:
move all terms not containg p to the right side of the inequality.
ineqyality form:p<24
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,
Answer:
\( a + b + c = 5 + 6 + 11 = 22 \)
Step-by-step explanation:
Variable "a" and "b" represents distances on the numberline.
Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.
a = length of red line = |5 - 0| = |5| = 5
b = length of blue line = |11 - 5| = |6| = 6
c = length of black line (red+blue) = |11 - 0| = |11| = 11
Therefore:
\( a + b + c = 5 + 6 + 11 = 22 \)
plz help me to answer
Answer:
for 3, 4 or both?
4. is probably zero
Step-by-step explanation:
Wait is 4 a question?
\(cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)\)
\(\implies \sin(2x+2y) \dfrac{dy}{dx} - \cos y \sin y \dfrac{dy}{dx} = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\)
How to find derivative of x^5(1- (5/x+8))
Answer:
\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
Step-by-step explanation:
\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)
please help 30 points!
Answer:
its A=4,20, B=8,40
Step-by-step explanation:
you are supposed to do the Y first then the X
Answer:
B. every 4 miles you run it will have been 20 min
C. put 4 over 20 like a fraction then next to that put a 1 over x then cross multiply and divide giving you the answer wich is " for every mile you run you spend 5 min
D. 1/5 for every mile you spend 5 minutes
E. same thing as above
Step-by-step explanation: