Answer:
[tex]x \approx 21.080\,ft[/tex], [tex]y = 29.080\,ft[/tex]
Step-by-step explanation:
The total area of the pool and the walkway is:
[tex](x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}[/tex]
[tex](x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}[/tex]
[tex]x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}[/tex]
[tex]x^{2} + 20\cdot x - 866\,ft^{2} = 0[/tex]
The roots of the second-order polynomial is:
[tex]x_{1} \approx 21.080\,ft[/tex] and [tex]x_{2} \approx -41.081\,ft[/tex]
The only possible root is:
[tex]x \approx 21.080\,ft[/tex]
The other dimension of the pool is:
[tex]y = x + 8\,ft[/tex]
[tex]y = 21.080\,ft + 8\,ft[/tex]
[tex]y = 29.080\,ft[/tex]
Which of the following is NOT true when testing a claim about a proportion? Choose the correct answer below. A. Both the traditional method and P-value method use the same standard deviation based on the claimed proportion p, but the confidence interval uses an estimated standard deviation based on the sample proportion ModifyingAbove p with caretp. B. When testing claims about population proportions, the traditional method and the P-value method are equivalent in the sense that they always yield the same result. C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test. D. If you want to test a claim about population proportions, use the P-value method or the classical method of hypothesis testing.
Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.
Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.
To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.
A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.
The difference of two times a number and eighteen is sixteen
Answer:
2n-18=16; n=17
Step-by-step explanation:
2n-18=16
+18 +18
2n= 34
/2 /2
n=17
Hope this helped
Anyone care to help? :)
96 is what percent of 60?
and please show your work thank you very much
Answer:
57.6
Step-by-step explanation:
60 x 0.96 = 57.6
hope this helps
Ally slice 32 kg of watermelon for a party she divided the watermelon slices equally between 8 large bowls how many gams of watermelon did ally put in each bowl
4000 g
Step-by-step explanation:
32 kg means 32000 g of watermelon
divided into 8 bowls
grams of watermelon in each bowl are 32000÷8 = 4000 g
Ally put 4,000 grams of watermelon in each bowl.
Explanation:
To find out how many grams of watermelon Ally put in each bowl, we need to divide the total weight of the watermelon slices by the number of bowls. Ally sliced 32 kg of watermelon and divided it equally between 8 large bowls. To convert kg to grams, we multiply by 1000. So, the total weight of watermelon in grams is 32,000 grams. To find out how many grams of watermelon went into each bowl, we divide the total weight by the number of bowls: 32,000 grams / 8 bowls = 4,000 grams.
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Ferris wheel has a diameter of 60 ft. How far will a rider travel during a 5 minute ride if the wheel rotates once every 15 seconds?
Answer:
3769.92 ft
Step-by-step explanation:
The diameter of the wheel, d= 60 ft
We know the perimeter of the wheel is,
= πd
= 3.1416*60
= 188.496 ft
Wheel travel for 5 minutes. So the wheel travel,
= 5*60
= 300 sec
The wheel rotates in every 15 seconds. So the wheel rotates,
= 300/15
= 20 times
In one rotation, the wheel travels its perimeter. so is 5 minutes it travels,
= 188.496*20
= 3769.92 ft
Samuel and Jason sell cans to a recycling center that pays $0.40 per pound of cans. The table shows the number of pounds of cans that they sold for several days.
Day Samuel's cans(lb) Jason's cans(lb)
Monday 17.4 10.4
Tuesday 13.3 11.3
Wednesday 10.4 7.2
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost $5.50 each. How many batteries can Samuel buy?
Samuel can buy batteries
Answer:
I believe 2 batteries
Step-by-step explanation:
17.4 pounds from monday + 13.3 from Tuesday= 30.7 pounds.
30.7 pounds times $0.40 is $12.28
12.28/5.5 is 2.327272727...
You cant buy .3 of a batter so the answer should be 2
NEED IT QUICK! THANK YOU At the start of an experiment, the temperature of a solution was Negative 12 degrees Celsius. During the experiment, the temperature of the solution rose 5 degrees Celsius each hour for 4 hours. Then the temperature changed by Negative 3 degrees Celsius and remained steady. What was the final temperature of the solution?
Negative 11 degrees Celsius
5 degrees Celsius
Negative 5 degrees Celsius
11 degrees Celsius
Answer:
5 degrees Celsius
Step-by-step explanation:
initial temperature = -12°C
temperature after 4 hours = -12°C + 4(5°C)
= -12°C + 20°C
= 8°C
final temperature = 8°C - 3°C
=5°C
Answer:
5 degrees celsius
Step-by-step explanation:
C
1. Walter stopped at the grocery store and
purchased the items on the list below. The
sales tax on the items was 6.25%. How
much did Walter spend at the grocery
store?
Item
Price
Soup
$1.99
Oranges
$3.49
Newspaper
$2.50
Answer:
$8.48
Step-by-step explanation:
Total of Items:
Add up the prices of all the items he bought
soup+oranges+newspaper
1.99+3.49+2.50=7.98
$7.98
Sales Tax:
Multiply his total by the sales tax rate
7.98*6.25%
Convert 6.25% to a decimal
6.25/100=0.0625
7.98*0.0625=0.49875
0.49875
Total With Tax
Add the tax to his total without tax
7.98+0.49875=8.47875
Round to the nearest cent, or hundreth
$8.48
What was the temperature 1 hour ago
Answer:
it depends what country you are referring to
In order to find a place's temperature, you have to have the continent and the place you are looking for. Temperatures are different every hour. Hope this helps! Stay safe and have a great day!
- Dhruva :)
Between which two whole numbers is
√12?
Answer:
It lies between three and four.
Step-by-step explanation:
Answer:
First, find the square root of 12
√12=3.46410161514
Whole numbers are: 0,1,2,3,4,5...
So, the 2 whole numbers √12 lies between are 3 and 4
A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those surveyed, 45 watch more than 10 hours per week. Based on the data, if the company has 2500 subscribers, how many watch more than 10 hours per week?
Answer:
1,135 people
For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).
The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.
Step-by-step explanation:
For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).
The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.
What is the degree measure of x?
Answer:
134 degrees
Step-by-step explanation:
Because all triangles add up to 180 degrees, the missing degree inside the triangle would be 46 degrees. The 46 degrees are the missing side for the line and since all lines equal 180 degrees, 180 - 46 = 134
Write a quadratic function f whose zeros are 4 and -5
Answer:
x^2+x-20
Step-by-step explanation:
x = 4
x - 4 = 0
x = -5
x + 5 = -5
(x + 5)(x - 4)
x^2+x-20
The quadratic function with zeros 4 and -5 is f(x) = x² + x - 20.
To write a quadratic function f(x) whose zeros are 4 and -5, we can use the fact that the zeros of a quadratic function correspond to the values of x that make the function equal to zero.
A quadratic function can be represented in the form:
f(x) = a(x - r1)(x - r2)
where r1 and r2 are the zeros of the function.
Given zeros are 4 and -5. Substituting these into the formula, we get:
f(x) = a(x - 4)(x + 5)
Expanding this, we obtain:
f(x) = a(x² + x - 20)
To simplify, we can choose a value for a, usually 1 for simplicity:
f(x) = x² + x - 20
This is the quadratic function with zeros at 4 and -5.
Please use the following image below in order to answer the question:
Find the value of x.
What is the value of X?
Please show all of the work on how you got your answer. (Note: If you can't explain your work then that's completely fine. All I am asking for is the work shown with your answer)
Answer:
x = 11
Step-by-step explanation:
Consider the attached drawing. The central angle at C has the same measure as the arc: 125°. XYCZ is a quadrilateral, so has a sum of interior angles that is 360°. The interior angles are tangent points Y and Z are both 90°, so the remaining two angles are supplementary.
That is ...
(6x -11)° +125° = 180°
6x = 66 . . . . . . subtract 114
x = 11 . . . . . . . . .divide by 6
__
So, the things you need to know about this geometry are ...
tangents are 90° to the radius at the tangent pointthe sum of angles in a quadrilateral is 360°the measure of an arc is the same as that of its central angleIn short: the angle at X and the arc YZ are supplementary: they have a sum of 180°.
Answer:
11
Step-by-step explanation:
6x - 11 + 125 = 180
6x = 66
x = 11°
Three fair coins are flipped. What is the probability that at least 2 of them come up heads?
Answer:
The probability that atleast 2 of them come up heads is 0.5∴ P(A)=0.5Step-by-step explanation:
Given that three fair coins are flipped.
To find the probability that at least 2 of them come up heads:Sample space for the given event is
[tex]S={\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}\}[/tex]
∴ n(S)=8Let A be the events of getting atleast 2 Heads and is given by
A = {HHH, HHT, HTH, THH}
∴ n(A)=4Probability of Getting atleast 2 Heads in 3 Coin Tosses is
[tex]P(A)=\frac{n(A)}{n(S)}[/tex]
[tex]P(A)=\frac{4}{8}[/tex]
[tex]=0.5[/tex]
∴ P(A)=0.5∴ the probability that atleast 2 of them come up heads is 0.5Company Mailing Of a company's mailings 1.5% are returned because of incorrect or incomplete addresses. In a mailing of 200 pieces, find the probability that none will be returned
Answer:
0.0487 = 4.87%
Step-by-step explanation:
The probability of one mail being returned is 1.5% = 0.015, so the probability of the mail not being returned is 1 - 0.015 = 0.985. If we want 0 mails returned from a total of 200 mails, we have 0 mails returned (probabilitity of 0.015) and 200 mails not returned (probability of 0.985), then the final probability is calculated as follows:
Probability = (0.985)^200 * (0.015)^0 = 0.0487 = 4.87%
To find the probability that none of the 200 mailings will be returned because of incorrect or incomplete addresses, we can calculate the probability of an individual mailing not being returned and multiply it by itself 200 times.
Explanation:To find the probability that none of the 200 mailings will be returned, we need to calculate the probability that each individual mailing is not returned. Given that 1.5% of mailings are returned, the probability of an individual mailing not being returned is 1 - 0.015 = 0.985. We can then find the probability that none of the mailings are returned by multiplying this probability by itself 200 times.
P(no mailings returned) = (0.985)200
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Which expressions represent the product of exactly two factors? Choose 2 answers: Choose 2 answers: (Choice A) A x+yx+yx, plus, y (Choice B) B 5(x+y)5(x+y)5, left parenthesis, x, plus, y, right parenthesis (Choice C) C (x+y)left parenthesis, x, minus, y, right parenthesis, left parenthesis, x, plus, y, right parenthesis (Choice D) D xy, y, z
Answer: B and C because I got it correct so trust me
Step-by-step explanation:
Ez
Rae and Doris are training to swim a 200-meter freestyle race. The table lists their practice times during training camp.
Rae’s Times(minutes)-2.12, 2.01, 2.46, 2, 2.22, 2.31, 2.23
doris times(minutes)-2.32, 2.19, 2.26, 2.03,
The median of Raes data is(drop down box answers, 2,2.03,2.14,2.22)minutes,and the median of doris data is(drop down box answers, 2,2.03,2.14,2.22)minutes. The interquartile range for rae is(drop down box answers, 0.01,0.13,0.26,0.30), and the interquartile range for doris is(drop down box answers, 0.02,0.06,0.18,0.19). The two data sets overlap(drop down box answers,very little, a lot).
Im wondering what are the answers for the drop down boxes,
and this based on statistics.
Answer:
24 boxes to drop down
Step-by-step explanation:
Answer:
I think
1st box:2.22
2nd box:2.14
3rd box:0.30
4th box:0.19
And the last one I’m not sure I just guessed ♂️
Step-by-step explanation:
Consider the plot created from the residuals of a line of best fit for a set of data. A graph shows both axes unnumbered. Points show a downward trend. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern. Yes, the points are evenly distributed about the x-axis. No, the points are in a linear pattern. No, the points are in a curved pattern.
Answer:
No, linear
Step-by-step explanation:
It's negative linear pattern
Answer: A. Yes, the points have no pattern.
Step-by-step explanation: Correct on edge2020, C linear is wrong trust me I did the Unit Test Review.
Someone answer urgent and if so I will mark brainliest
Answer:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.
Step-by-step explanation:
Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.
Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.
So so far we have: (..., y) transformed into (y, ...)
now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.
Then we can complete how the transformation can be represented:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.
does 2,3,4 from a right triangle?
Kerry writes a list of all the integers from 1 to n on a whiteboard. She uses the digit 0 five times and the digit 9 six times. What is the value of n?
The value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Range of the number Times of '0' Time of '9'
1 - 9 0 1
10 - 19 1 1
20 - 29 1 1
30 - 39 1 1
40 - 49 1 1
50 - 59 1 1
Total 5 6
Then the value of the number 'n' that has the digit 0 five times and the digit 9 six times will be 59.
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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tests are shown in fig. 1. if the bar diameter is 12.0 mm, calculate the maximum allowable load amplitude (in newtons) to ensure that fatigue failure will not occur at 107 cycles.
Complete part of Question:
Assume a factor of safety of 3.0
The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution
Answer:
The maximum allowable load amplitude is 6403.33 N
Step-by-step explanation:
diameter of the bar, d = 12 mm
d = 0.012 m
Cross sectional area of the bar, A = πd²/4
A = π*0.012²/4
A = 0.000113 m²
From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;
At 10⁷ cycles, Maximum stress, S = 170 MPa
S = 170 * 10⁶ Pa
Factor of safety, N = 3.0
The tensile stress is given by the formula:
[tex]\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}[/tex]
The tensile stress is also given by:
[tex]\sigma = F/A\\\sigma = F/0.000113[/tex]
F/0.000113 = 56.67 * 10⁶
F = 56.67 * 10⁶ * 0.000113
F = 6403.33 N
The maximum allowable load amplitude is 6403.33 N
Answer:
The maximum allowable load amplitude is 6408.85 Newtons
Step-by-step explanation:
Assume a factor of safety N = 3.0
From the graph attached, the maximum stress the cylindrical 2014-t6 aluminum alloy bar is subjected to is S = 170MPa
diameter d = 12.0 mm = 12*10^-3 m
area A
S = F/A
But A = (Π* d²)/4
S = 4F/(Π*d²)
By incorporating factor of safety N
S/N = 4F/(Π*d²)
F = SΠd²/4N
F = {170*10^6 *Π *(12*10^-3)}/4*3.0
F = 76906.19/12 = 6408.85 Newtons
Pls find the solution in the attached file for more explanation.
A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?
Answer:
272.04
Step-by-step explanation:
We must make a weighted average, as follows:
Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.
And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:
100 * 297 = 688 * 6 + 94 * x
x would be the final mean, solving:
x = (29700 - 4128) / 94
x = 272.04
average after removing those 6 is 272.04
Select the possible values for x in the equation x2 = 108.
A.
[tex] \sqrt[ 36]{3} [/tex]
B.
[tex] \sqrt{18} [/tex]
c. 54
D.
[tex] \sqrt[6]{3} [/tex]
Answer:
D. 6√3.
Step-by-step explanation:
x^2 = 108
x = +/- √108
x = +/- √36 * √3
x = +/- 6√3
An initial population of 2 bunnies each has 6 babies per month. Using x for months and y for the number of bunnies, write the equation that models this situation.
Answer:
x = 3y
Step-by-step explanation:
In this question, we are asked to model an equation that clearly mimics what we have in the question using certain type of variables.
Now initially, we are told that we have 2 bunnies having 6 babies. what does this tell us?
Looking at this, we can see that the number of babies is exactly 3 times the number of bunnies. More like saying 3 times the number of bunnies equal the number of babies.
so leveraging in this finding and applying the variable, we can say each of the 2 bunnies has 3 babies per month.
Mathematically, this is same as x bunnies = 3y babies per month
activating prior knowledge what is a factor
Step-by-step explanation:
A factor is the number in a multiplication problem.
Solve the following system of equations (ASAP please)
Answer:
The answer to your question is the letter A. (4, -8) and (1, -5)
Step-by-step explanation:
Data
x + y = -4 Equation l
y = x² - 6x Equation ll
Process
1.- Substitute equation ll in equation l
x + x² - 6x = -4
2.- Solve the quadratic equation
x² - 5x + 4 = 0
Factor (x - 4)(x - 1) = 0
-Solve for x
x₁ - 4 = 0 x₂ - 1 = 0
x₁ = 4 x ₂ = 1
3.- Substitute x₁ and x₂ in equation l
4 + y₁ = -4 1 + y₂ = -4
y₁ = -4 - 4 y₂ = -4 - 1
y₁ = -8 y₂ = -5
4.- Solutions
(4, -8) and (1, -5)
What is the probability of a rolling a sum of 10 when rolling two number cubes
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
There are 36 total possible combinations with 2 number cubes. Only 3 of these combinations add up to 10 (4 and 6, 5 and 5, 6 and 4).
[tex]\frac{3}{36} =\frac{1}{12}[/tex], so the probability is [tex]\frac{1}{12}[/tex].
Answer:
1/12
Step-by-step explanation: