Step-by-step explanation:
given
5 t-shirts = R120
(5÷5) t - shirt = R(120÷5)
1 t-shirt = R24
(1x9) t-shirts = R(9x24)
= R216
I am an odd number between 250 and700
Answer:
225
Step-by-step explanation:
Answer:
251, 253, 255, … 695, 697, 699
Step-by-step explanation:
That is any number that isn’t divisible by 2.
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allowing 20% discount on the Marked price of a watch value of the Watch will be rupees 2376 of vat of 10% is added find its marked price
Answer:
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Here your question has been answered.
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7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
MNPQ is a parallelogram, a rhombus, a rectangle, a square, or a quadrilateral. Choose the most
specific term. Show work.
Answer:
SQUARE
Step-by-step explanation:
If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).
Find the following MN, NP, PQ and MQ
Using the formula for calculating the distance between two points
MN = √(6-0)²+(0-4)²
MN = √6²+4²
MN = √36+16
MN = √52
MN = 2√13
NP = √(0-6)²+(-4-0)²
NP = √6²+4²
NP = √36+16
NP = √52
NP = 2√13
PQ = √(-6-0)²+(0-(-4))²
PQ = √6²+4²
PQ = √36+16
PQ = √52
PQ = 2√13
MQ = √(-6-0)²+(0-4)²
MQ = √6²+4²
MQ = √36+16
MQ= √52
MQ = 2√13
Since the length of all the sides are equal, hence the shape is a SQUARE
Answer:
D
Step-by-step explanation:
Trust me, I got it correct.
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
Find x
2-3(4-x)=5(2-x)+4x
Answer:
X = 5
Step-by-step explanation:
break it down man
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What is the volume of a cylinder with a diameter of 12 cm and a height of 22 cm?
Round your answer to the nearest hundredth
show your work
HELP ASAP
Answer:
2488.14 cm^3
Step-by-step explanation:
V=π(12/
2)^2(22)=π·(12
/2)^2·22≈2488.14138cm³
The number of bacteria in a culture is increasing according to the law of exponential growth. There are 135 bacteria in the culture after 2 hours and 385 bacteria after 4 hours.. use the model to determine the number of bacteria after 8 hours. (round your answer to the nearest whole number.)
The number of bacteria after 8 hours is approximately 2,713.
Let's apply the exponential growth formula:
N = N0 * e(rt),
N is the number of bacteria at a particular period. N0 is the initial bacterial population, e is the mathematical constant (about equal to 2.71828), r is the growth rate, and t is the amount of time that has passed.
The information provided in the problem can be used to determine the growth rate:
N1 = N0 * e(r*2)
N2 = N0 * e(r*4)
To get eliminate N0, divide the second equation by the first equation:
N2/N1 = e(r4) / e(r2)
385/135 = e(r4) / e(r2)
If we condense this expression, we get:
e(r*2) = 385/135
e(r*2) = 2.8519
When we take the natural logarithm of both sides, we get:
r*2 = ln(2.8519)
r = ln(2.8519)/2
r = 0.5457 (rounded to 4 decimal places)
The number of bacteria after 8 hours can now be determined using the exponential growth algorithm once more:
N = N0 * e(rt)
N = 135 * e(0.5457*8)
N = 2,713 (rounded to the nearest whole number)
Therefore, the number of bacteria after 8 hours is approximately 2,713.
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Write a proportion to find how many points a student needs to score on the test to get the given score? Test worth 70points ; test score of 90%.
The many points a student needs to score on the test to get the given score is 63 points.
How to calculate the value?From the information, the Test worth is 70points and the test score of 90% is needed.
The score that the student needs will be:
= Required percentage × Total score
= 90% × 70
= 90/100 × 70
= 0.9 × 70
= 63
Based on the information, it's important to note that the concept of percentage was used as the values were multiplied to get the value.
In this case, 63 points are needed.
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Helena builds a shed in her backyard. Square based shed There is a larger section for large tools, like her lawn mower, and a smaller section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as you can.A=50ft^2,A=16ft^2
Explanation:
Step-by-step explanation:
a) From the image attached, the area of the small section is 16ft² and the area of the large section is 50 ft². The area of a square = length × length = length².
\(\begin{gathered} A_{big}=L^2 \\ L^2=50 \\ L=\sqrt{50}ft \\ A_{small}=l^2 \\ l^2=16 \\ l=\sqrt{16} \\ l=4ft \end{gathered}\)The length of the entire shed will be calculated using the formul below
\(length(entireshed)=length(large)+length(small)\)By substituting the values, we will have
\(\begin{gathered} length(ent\imaginaryI reshed)=length(large)+length(small) \\ length(ent\mathrm{i}reshed)=L+l \\ length(ent\mathrm{i}reshed)=4+\sqrt{50}ft \end{gathered}\)Hence,
The length of the entire shed is
\(\begin{equation*} 4+\sqrt{50}ft \end{equation*}\)Part B:
All square root of integers other than perfect squares are irrational numbers , hence 4 + √50 is an irrational number. All numbers belongs to the set of real numbers. Therefore 4 + √50 is an irrational number and real number
Tia uses 3/4 cup of pumpkin to make 1 1/4 pounds of dog treats. How much pumpkin does Tia use to make 1 pound of treats?
Answer:
4/5 cups to make 1 pound of dog treats
Step-by-step explanation:
3/4 cups : 1 1/4 pounds
x cups : 1 pound
Cross multiply
3/4 * 1 = 1 1/4 * x
x = 3/4 / 1 1/4
= 3/4 / 5/4
= 3/4 * 4/5
= 3/5 cups
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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What is 6 7/9 as an improper fraction? Explain your answer.
Answer:
Step-by-step explanation:
\(6\dfrac{7}{9}=\dfrac{(6*9)+7}{9}=\dfrac{54+7}{9}\\\\\\=\dfrac{61}{9}\)
On a basketball team, 2 of the 5 starting players are taller than 6
feet.
What percent of the starting players are taller than 6
feet
\( \frac{2 }{5} \times 100 = \\ \)
\(40\)
Thus 40 percent of the starring players are taller than 6 feet.
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent. original: 84, new: 96
Answer:
Then we divide that amount by the original older value and get 1.3035. Now we must convert that number
Simplify the following expression:
√-36+√-100+ 7
O A. 7+ 16i
OB. 7+√136i
O C. 16
C. 16 - 7i
O D. 23 + 0i
A normal distribution (X) has a mean of 100 and a standard deviation of 10.
What is the probability that X will be smaller than 80?
Use the Normal Table and keep all 4 decimal positions in your answer.
Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that X will be smaller than 80.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of \(\mu = 100\).The standard deviation is of \(\sigma = 10\).The probability that X will be smaller than 80 is the p-value of Z when X = 80, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{80 - 100}{10}\)
\(Z = -2\)
\(Z = -2\) has a p-value of 0.0228.
0.0228 = 2.28% probability that X will be smaller than 80.
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John went to a restaurant for dinner the cost of a meal was $25 with a discount of two dollars if the total bill including 7% sales tax and 15% what is the discomfort say after the discount what is the total bill including tax and tip enter your answer in the box below
Answer: The answer is d
Step-by-step explanation:
de
Zombie scrap work answers please
Answer:
i hope it's answers help ful you
Suppose that the force acting on an object can be expressed by vector (-8,14), where each
measure in the ordered pair represents the force in pounds. What is the magnitude of the force? Round
your answer to the nearest hundredth.
Answer:
Magnitude of force is \(||v||\approx16.12\text{ lbs}\)
Step-by-step explanation:
\(||v||=\sqrt{x^2+y^2}\\||v||=\sqrt{(-8)^2+(14)^2}\\||v||=\sqrt{64+196}\\||v||=\sqrt{260}\\||v||\approx16.12\text{ lbs}\)
A(n) ____________ is a metric unit used to measure mass.
A) liter
B) inch
C) meter
D) gram
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
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Convert from radians to degrees.
Answer:
135°
Step-by-step explanation:
Why might It be more useful to have a square root in simplest form rather than a large number under the root or the approximate Value?
Problem
Why might It be more useful to have a square root in simplest form rather than a large number under the root or the approximate Value?
Solution
One possible answer is that if we have the square root in the simplest form we can simplify expression add, subtract and multiply/divide by other quantities. Also with the simplification is easire to understand the value of interest.
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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Naomi invested $860 in an account paying an interest rate of 33% compounded
monthly. Matthew invested $860 in an account paying an interest rate of 41%
compounded annually. After 10 years, how much more money would Matthew have
in his account than Naomi, to the nearest dollar?
Answer:
Step-by-step explanation:
n = 40 the mean of population of raw scores is 60 with a standard deviation of 16. your sample mean = 64 and . use the criterion with two tails to decide if this sample represents the population. a) draw the sampling distribution with the critical values) clearly identified shade the appropriate area b) compute the -score for the sample mean (show your work). compare the sample's score to the critical values) and state your conclusion (two choices: either reject that the sample represents the underlying raw score population do not reject that the sample represents the underlying raw score population)
A publisher reports that 52% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 180 found that 46% of the readers owned a laptop. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The value of the test statistic is \(t = -1.61\)
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
Our test statistic is:
\(t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the expected mean, \(\sigma\) is the standard deviation and n is the size of the sample.
A publisher reports that 52% of their readers own a laptop.
This means that \(\mu = 0.52\)
Sample of 180:
Means that \(n = 180\)
By the Central Limit Theorem:
\(\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.52*0.48}{180}} = 0.0372\)
A random sample of 180 found that 46% of the readers owned a laptop.
This means that \(X = 0.46\)
Find the value of the test statistic.
\(t = \frac{X - \mu}{s}\)
\(t = \frac{0.46 - 0.52}{0.0372}\)
\(t = -1.61\)
The value of the test statistic is \(t = -1.61\)
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Answer: the answer is 105
Step-by-step explanation:
Answer:
wait but whats the question??
Step-by-step explanation:
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.