Answer:
Sydney, Nova Scotia
Step-by-step explanation:
Out of all 3 Sydney, Nova Scotia would be the coldest because -23 degrees is lower than -21 and -22. When using a thermometer the lower it is the colder, so Nova Scotia would be your answer.
Answer:
Charlottetown, Prince Edward Island, is the warmest. Sydney, Nova Scotia is the coldest. The larger the negative number the more cold it is while the lower the negative number, it becomes warmer.
Step-by-step explanation:
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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SOMEONE PLS HELP ME I REALLY NEED THIS
Answer:
A
the anwser is a im just typing this becsuse it told me my anwser was too short
Can anyone help me on this?
Answer:
A
Step-by-step explanation:
We know that this is the same as substituting a for x and multiplying the entire expression by -1.
\(f(a) = \frac{2a}{a - 1} \)
\( - f(a) = \frac{ - 2a}{a + 1} \)
Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.
Answer:
\(Pr = 7\%\)
Step-by-step explanation:
Given
See attachment for graph
Required
Find P(Junior|Male)
To do this, we first calculate the total students.
\(Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3\)
\(Total = 30\)
Next, select the value in the cell that intersects Male and Junior
\(Male\ and\ Junior = 2\)
Hence, the probability is
\(Pr = \frac{Male\ and\ Junior}{Total}\)
\(Pr = \frac{2}{30}\)
\(Pr = 0.067\)
Express as percentage
\(Pr = 0.067*100\%\)
\(Pr = 6.7\%\)
Approximate
\(Pr = 7\%\)
Answer:
14%
Step-by-step explanation:
2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!
p.s. (I was on the same problem on acellus and figured it out. It took forever though)
HELP ITS HARD Which statement is true about figures ABCD and A'B'C'D'? A polygon ABCD has A at ordered pair negative 4, negative 3, B at negative 3, negative 1, C at negative 2 and negative 3, D at negative 3 and negative 4. A polygon A prime B prime C prime D prime has A prime at ordered pair 3, 4, B prime at ordered pair 1, 3, C prime at ordered pair 3, 2, and D prime at ordered pair 4, 3. A'B'C'D' is obtained by translating ABCD 4 units up and then reflecting it about the y-axis. A'B'C'D' is obtained by translating ABCD 4 units right and then reflecting it about the x-axis. A'B'C'D' is obtained by rotating ABCD counterclockwise by 180 degrees about the origin and then reflecting it about the y-axis. A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.
Answer:
A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.
Step-by-step explanation:
ABCD: A(-4,-3), B(-3,-1), C(-2,-3), and D(-3,-4).
If we rotate ABCD counterclockwise by 90 degrees, we obtain the translation
\(R$otation of 90\º: (x,y)\rightarrow (-y,x)\)
This gives:
A''(3,-4), B''(1,-3), C''(3,-2), and D''(4,-3).
Next, we reflect A''B''C''D'' across the x-axis. (Note that the x-coordinate remains the same, but the y-coordinate is transformed into its opposite.)
\(R$eflection accross the x-axis: (x,y)\rightarrow (x,-y)\)
This then gives us the coordinates
A'B'C'D': A'(3, 4), B'(1, 3), C'(3, 2), and D'(4, 3)
Answer:
A'B'C'D' is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis.
Step-by-step explanation:
ABCD: A(-4,-3), B(-3,-1), C(-2,-3), and D(-3,-4).
If we rotate ABCD counterclockwise by 90 degrees, we obtain the translation
This gives:
A''(3,-4), B''(1,-3), C''(3,-2), and D''(4,-3).
Next, we reflect A''B''C''D'' across the x-axis. (Note that the x-coordinate remains the same, but the y-coordinate is transformed into its opposite.)
This then gives us the coordinates
A'B'C'D': A'(3, 4), B'(1, 3), C'(3, 2), and D'(4, 3)
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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8. Identify the solution to the system of equations: 4x - y = 7-12x + 3y = -21
The given system of equations is
\(4x-y=7\text{ take it as equation (1)}\)\(-12x+3y=-21\text{ take it as equation (2).}\)Consider equation (1)
\(4x-y=7\)Subtracting 4x from both sides, we get
\(4x-y-4x=7-4x\)\(-y=7-4x\)Multiply both sides by -1, we get
\(-y(-1)=(-1)7-(-1)4x\)\(y=4x-7\)Substituting y=4x-7 in equation (2), we get
\(-12x+3(4x-7)=-21\)\(-12x+3(4x-7)=-21\)Please help me i will give a Brainly and 100 points
Answer:
Part a) The graph in the attached figure
Part b) The units rate of change is 9
Step-by-step explanation:
we know that
A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form or
step 1
Find the constant of proportionality k
For
substitute
the linear equation is equal to
using a graphing tool
see the attached figure
step 2
Find the unit rate
we know that
In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin
so
The units rate of change is 9
That means------> A change of 1 unit in t correspond to a change of 9 units in d
see the attached figure to better understand the problem
Answer:
Have a nice day! Answer is above good luck:)
The ratio 81:108 in the simplest form
The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.
PLS HELP ASAP:Find all the missing elements:
Answer:
B = 34.2°
C = 105.8°
c = 12.0 units
Step-by-step Explanation:
Given:
A = 40°
a = 8
b = 7
Required:
Find B, C, and c.
SOLUTION:
Using the Law of Sines, find <B:
\( \frac{sin(A)}{a} = \frac{sin(B)}{b} \)
\( \frac{sin(40)}{8} = \frac{sin(B)}{7} \)
Multiply both sides by 7
\( \frac{sin(40)}{8}*7 = \frac{sin(B)}{7}*7 \)
\( \frac{sin(40)*7}{8} = sin(B) \)
\( 0.5624 = sin(B) \)
\( B = sin^{-1}(0.5624) \)
\( B = 34.2 \) (to nearest tenth).
Find <C:
C = 180 - (34.2+40°) (sum of angles in a triangle)
C = 180 - 74.2 = 105.8°
Using the Law of Sines, find c.
\( \frac{c}{sin(C)} = \frac{b}{sin(B)} \)
\(\frac{c}{sin(105.8)} = \frac{7}{sin(34.2)}\)
Multiply both sides by sin(105.8)
\(\frac{c}{sin(105.8)}*sin(105.8) = \frac{7}{sin(34.2)}*sin(105.8)\)
\( c = \frac{7*sin(105.8)}{sin(34.2)} \)
\( c = 12.0 \)
When a 3-D figure cut to create a cross-section parallel to the base which direction is the perpendicular vertical or horizontal 
Answer:
When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.
Use one method to find the LCM of the first set of numbers below. Use the other method to find the LCM of the second set. Show Work 13 and 17 40 and 60
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Step-by-step explanation:
The LCM of 13 AND 17 is 221
The LCM of 40 AND 60 is 120
lcm (40; 60) = 120 = 23 × 3 × 5
The square of a number decreased by ten times the number is negative nine.
Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1
4 There are between 20 and 50 flags.
They can be shared equally among
2 tents or 4 tents or 5 tents.
How many flags are there?
When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.
How to illustrate the information?From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.
It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.
Therefore, the number of flags is 40.
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help please ! solve for u and simplify the answer
Answer:
u = 5
Step-by-step explanation:
\(\frac{u + 7}{15} = \frac{4}{5}\)
We want to solve for u. This means we need to isolate u on one side of the equation.
To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.
\(u + 7 = (\frac{4}{5})(\frac{15}{1})\)
Multiply the numerators and denominators separately.
4 • 15 = 60
5 • 1 = 5
\(u + 7 = \frac{60}{5}\)
Simplify the fraction.
60 ÷ 5 = 12
u + 7 = 12
Subtract 7 from both sides.
u = 5
Check your work by plugging u = 5 back into the original equation.
\(\frac{5 + 7}{15} = \frac{4}{5}\)
\(\frac{12}{15} = \frac{4}{5}\)
\(0.8 = 0.8\)
Your answer is correct.
Hope this helps!
Answer:
5 is your answer for u.
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other.
First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):
\(15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15\)
First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:
\(5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60\)
Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:
\(5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5\)
Suppose you start with one liter of vinegar and repeatedly remove 0.14 L, replace with water, mix, and repeat. a. Find a formula for the concentration after n steps. b. After how many steps does the mixture contain less than 9% vinegar?
Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and
after 11 steps, the mixture contains less than 9% vinegar.
What is concentration?
Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.
a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:
\(C(1) = C(0) * \frac{1 - 0.14}{1}\)
where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:
C(2) = C(1) * \(\frac{1 - 0.14}{1}\)
Substituting the formula for C(1), we get:
C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)
or, more generally:
\(C(n) = C(0) * (0.86)^n\)
b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:
\(C(0) * (0.86)^n < 0.09\)
Dividing both sides by C(0), we get:
\((0.86)^n < 0.09\)
Taking the natural logarithm of both sides, we get:
n * ln(0.86) < ln(0.09)
Dividing both sides by ln(0.86), we get:
n > ln(0.09) / ln(0.86)
Using a calculator, we get:
n > 10.7
Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.
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A store is advertising a 40% off sale. Find the new price of a pair of boots that were originally marked $149.00.
Answer:
89.4
Step-by-step explanation:
Okay well if 149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4
149*0.60=89.6
A consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table below shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10a) Calculate the coefficient of variation (CV) for Brand A (1point) b) Calculate the coefficient of variation (CV) for Brand B (1 point) c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.
b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.
c) Brand B, is more consistently produces tablets as advertised.
We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :
Tablets contains the quantity of vitamin C = 500 mg
Sample mean = 250
Standard deviation = 7
For brand B :
Tablets contains the quantity of vitamin C = 250 mg
Sample mean = 500
Standard deviations = 10
Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)
= (Standard Deviation/Mean) × 100.
a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100
= 2.8%
b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100
= 2.0%
c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.
Hence, required brand is brand B.
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Complete question:
consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10
a) Calculate the coefficient of variation (CV) for Brand A (1point)
b) Calculate the coefficient of variation (CV) for Brand B (1 point)
c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
What is the slope-intercept form of the equation below written in standard from:
x + y =9
A. y = x + 9
B. y = -x+ 9
C. y + x = 9
D. y = 9 + x
Answer:
B
Step-by-step explanation:
y+x=9
y=slope
y=9-x
A 9-pound bag of apples costs $8.28. What is the unit price?
Answer:
.92
Step-by-step explanation:
Answer:
0.92
Step-by-step explanation:
Divide the price of certain number of units of an item by the number of units to find the unit price of that item.
An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
Can someone help pls !
Answer:
(B). \(A_{y}\) = \(\left[\begin{array}{cc}12&7\\17&-51\end{array}\right]\)
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = \(\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right]\)
\(A_{x}\) = \(\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right]\)
\(A_{y}\) = \(\left[\begin{array}{cc}12&7\\17&-51\end{array}\right]\)
Can somebody please help...I don’t understand it would mean a lot ❤️
Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
Answer:
Step-by-step explanation:
The slope-intercept equation for a line is y = mx+b, where m is the slope and b is the y-intercept.
Refer to the picture. You can see that the line crosses the y-axis at (0,8), which means the y-intercept is 8.
The graph shows the path of a hiker walking up the hill. When he goes from one blue dot to the next, he has moved 2 units to the right and 1 unit up. The slope of the hill is ½.
Slope-intercept equation for line of slope ½ and y-intercept 8:
y = ½x+8
There is nothing to simplify.
Which statement is correct?
Answer:
c is the answer why cause I did it
79% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in Ameri today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below. Find the mean of the binomial distribution u = 4.7 (Round to the nearest tenth as needed.) Find the variance of the binomial distribution 2-1 (Round to the nearest tonth as needed.) Find the standard deviation of the binomial distribution 10 (Round to the nearest tenth as needed.) Interpret the results in the context of the real situation. Most samples of 6 adults would differ from the mean by no more than 1.0 (Type Integers or decimals rounded to the nearest tonth as needed.) il Enter your answer in each of the answer boxes
The mean of the binomial distribution is 4.74
The variance of the binomial distribution is 1
The standard deviation of the binomial distribution is 1.0
a)
Given,
To determine the mean
n = 6
p = 79%
p = 0.79
Now consider,
Mean = n*p
substitute given values
= 6*0.79
= 4.74
Mean = 4.7
b)
To determine the variance
Variance = n*p*(1 - p)
substitute the known values
= 6*0.79*(1 - 0.79)
= 0.9954
Variance = 1
c)
To determine the standard deviation
We know,
Standard deviation = sqrt(Variance)
substitute the known value
Standard deviation = sqrt(1)
Standard deviation = 1.0
d)
Here by observing we can say that most samples of 6 adults would differ from the mean by no more than 1.0
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The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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I need help finding the Single equivalent discount rate, Trade discount, and Net price.
1) The Single Equivalent Discount Rate is 0.143296.
2) The trade discount is $28.52.
3) The net price is $170.48.
What is a chain discount?A chain discount refers to a series of discounts allowed from the list price of a good.
An example of a chain discount is 8/4/3. Based on the series of discounts, a single equivalent discount rate can be computed as below.
The net price is the difference between the list price and the trade discounts granted.
Data and Calculations:Item List Chain Net Price Single Trade Net Price
Price Discount Equivalent Equivalent Discounts
Discount rate
Samsung $199 8/4/3 0.856704 0.143296 $28.52 $170.48
Blu-ray
Player
The single equivalent discount rate = 0.143296 (1 - 0.856704)
Trade discount = $28.52 ($199 x 0.143296)
Net Price = $170.48 (($199 x 0.856704)
Single Equivalent Discount Rate:100 x 8% = 8%
92 x 4% = 3.68%
88 x 3% = 2.64%
Total = 14.32%
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Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon
Answer:
A..is the answer of the question
Answer:
Polyhedron, Prism and Solid
What angle is this need help asap
Answer:
This is an acute angle, I accidently said it was a right angle before