The perimeter of the square is 66.4 meters
How to work out the perimeter of the square?The area is given as:
Area = 275.56m².
The perimeter of the rectangle is calculated using:
Perimeter = 4 * √Area
So, we have:
Perimeter = 4 * √275.56m²
Evaluate the exponent
Perimeter = 4 * 16.6m
Evaluate the product
Perimeter = 66.4 m
Hence, the perimeter of the square is 66.4 meters
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Mrs. Rykus does a survey of her 85 students.
20 say math is awesome
35 say math is the best
30 say math is fun
Based on these results, if Mrs. Rykus asks the whole student population 900 students what they think of math, what is the best approximation for how many students will say math is awesome?
A 400
B 212
C 200
D 315
Answer:
212
Step-by-step explanation:
85 here is 100%
And 900 is also 100%
That's for the different comparisons. So now, what we do is, we should divide 85 by 900, and then, whatever is our answer, multiply that by 20.
That is surely going to equal how many students are going to say that Math is Awesome for 900 student survey.
Step 1
85/900=10.5882352941
Let's round that to make it
10.5
Step 2
10.5x20=210
That means, if we go exactly, like multiplying all of those numbers, then our answer should be 212 or 200.
Just to be sure that our answer is correct, we will do it with 10.58 now.
Step 3
10.58x20=211.6
So now it looks like it's most probably going to be 212
But still, let's do 10.588 now.
Step 4
10.588x20=211.76
Okay, let's do it again, with 10.5882
Step 5
10.5882x20=211.764
Okay, so I just multiplied the whole number this time, and I still got a decimal, so that means that your answer is 212 basically.
The following table shows sample salary information for employees with bachelor's and associate’s degrees for a large company in the Southeast United States.
Bachelor's Associate's
Sample size (n) 81 49
Sample mean salary (in $1,000) 60 51
Population variance (σ2) 175 90
The point estimate of the difference between the means of the two populations is ______.
The point estimate would be:
Point estimate = 9
Since, The point estimate of the difference between the means of the two populations can be calculated by subtracting the sample mean of employees with an associate's degree from the sample mean of employees.
Therefore, the point estimate would be:
Point estimate = 60 - 51
= 9 (in $1,000)
It means , All the employees with a bachelor's degree have a higher average salary than which with an associate's degree from approximately $9,000.
It is important to note that this is only a point estimate, which is a single value that estimates the true difference between the population means.
Hence, This is based on the sample data and is subject to sampling variability.
Therefore, the correct difference between the population means would be higher / lower than the point estimate.
To determine the level of precision of this point estimate, confidence intervals and hypothesis tests can be conducted using statistical methods. This would provide more information on the accuracy of the point estimate and help in making informed decisions.
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17. Who am I? ___ Collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
a) template
b) array
c) structure
d) local variables
You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.
The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.
The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.
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Solve the inequality
Answer:
\(x\leq 6\)
Step-by-step explanation:
\(\frac{3x}{2} \leq 9\)
multiply by 2 to cancel
\(3x\leq 18\)
Divide by 3:
\(x\leq 6\)
Hope this helps
calculate the range and standard deviation for 40, 65, 33, 46, 55, 50, 61
Answer:Therefore, the range is 32 and the standard deviation is approximately 10.523 for the given data set.
Step-by-step explanation:To calculate the range and standard deviation for the given data set {40, 65, 33, 46, 55, 50, 61}, we can follow these steps:
Step 1: Find the range.
The range is calculated by subtracting the minimum value from the maximum value in the data set.
Range = Maximum value - Minimum value
Range = 65 - 33
Range = 32
Step 2: Calculate the mean.
The mean is calculated by summing up all the values in the data set and dividing by the total number of values.
Mean = (40 + 65 + 33 + 46 + 55 + 50 + 61) / 7
Mean = 350 / 7
Mean = 50
Step 3: Calculate the deviation for each value.
Deviation is calculated by subtracting the mean from each value in the data set.
Deviation for 40 = 40 - 50 = -10
Deviation for 65 = 65 - 50 = 15
Deviation for 33 = 33 - 50 = -17
Deviation for 46 = 46 - 50 = -4
Deviation for 55 = 55 - 50 = 5
Deviation for 50 = 50 - 50 = 0
Deviation for 61 = 61 - 50 = 11
Step 4: Square each deviation.
Squared deviation for -10 = (-10)^2 = 100
Squared deviation for 15 = 15^2 = 225
Squared deviation for -17 = (-17)^2 = 289
Squared deviation for -4 = (-4)^2 = 16
Squared deviation for 5 = 5^2 = 25
Squared deviation for 0 = 0^2 = 0
Squared deviation for 11 = 11^2 = 121
Step 5: Calculate the variance.
Variance is calculated by summing up all the squared deviations and dividing by the total number of values.
Variance = (100 + 225 + 289 + 16 + 25 + 0 + 121) / 7
Variance = 776 / 7
Variance ≈ 110.857
Step 6: Calculate the standard deviation.
The standard deviation is the square root of the variance.
Standard Deviation ≈ √110.857
Standard Deviation ≈ 10.523
Expand x(a+b+c).
Hence, without using a calculator, evaluate 42x111.
Step-by-step explanation:
42(100+10+1)
= 4200 + 420 + 42
= 4,662
Answer:
42=7*3*2
111=37*3
so hence there are many ways we can use the 1, 10 and the hundred houses to execute the problem As my Friend said in the above solution we can take that
=42(100+10+1)
=4200+420+42
=Which Finally gives us 4262
An elevator has a placard stating that the maximum capacity is 1884 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 1884/12=157 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 157 lb. (Assume that weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe? BICICIE The probability the elevator is overloaded is (Round to four decimal places as needed) Does this elevator appear to be safe? OA. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity OB. No, 12 randomly selected people will never be under the weight limit. OC. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity OD. Yes, 12 randomly selected adult male passengers will always be under the weight limit. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. www OA. 0.4332 OB. 0.9332 OC. 0.5000 OD. 0.0668 Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Cost 9 2 3 5 9 10-> 4 2 68 67 Number 52 55 85 A. 0.235 OB. 0.708 OC. 0.246 OD. -0.071 86 83 73
The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.
Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:
Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.
We can write as below:
Maximum capacity per person=1884/12=157lb.
And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586
Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.
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Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la probabilidad de que entre 14 personas a las que se les administra este medicamento: a) A lo sumo 2 se sientan muy mal en dos minutos b) Por lo menos 5 se sientan muy mal en dos minutos c) De 2 a 4 se sientan muy mal en dos minutos
Answer:
a) 0.4481
b) 0.1298
c) 0.6722
Step-by-step explanation:
English Translation
It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:
a) At most 2 feel very bad in two minutes
b) At least 5 feel very bad in two minutes
c) From 2 to 4 they feel very bad in two minutes
Solution
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 14
x = Number of successes required
p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20
q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80
a) At most 2 feel very bad in two minutes
P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)
= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481
b) At least 5 feel very bad in two minutes
P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]
= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298
c) From 2 to 4 they feel very bad in two minutes
P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)
= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722
Hope this Helps!!!
A researcher wants to be able to predict first semester college grade-point averages with as much accuracy as possible, so she would like to use both high school grade-point averages and SAT scores as predictor variables. Which technique would be most appropriate to make this prediction
The most appropriate technique for the researcher to make this prediction would be multiple regression analysis, which would allow her to examine the relationship between the two predictor variables (high school grade-point averages and SAT scores) and the outcome variable (first semester college grade-point averages) while controlling for their effects on each other. This technique would help the researcher to determine the most accurate way to combine these two predictors in order to make the most accurate prediction possible.
A researcher aiming to predict first semester college grade-point averages (GPAs) using high school GPAs and SAT scores as predictor variables should use the Multiple Linear Regression technique. This technique allows the researcher to analyze the relationship between multiple predictor variables (high school GPAs and SAT scores) and a single continuous outcome variable (college GPAs), which can lead to more accurate predictions.
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Two angles that total 180 degrees are called
Answer:
Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be.
Answer:
They are supplementary angles
3. In the equation y=bx+a, which variable is the slope and which is the intercept? 4. Given speed and stopping distance, which is the dependent variable, which is the independent variable? other, and the alternate hypothesis is that there will be an influence of one variable on another.
3. In the equation y = bx + a, the variable "b" represents the slope, and "a" represents the intercept.
4. The speed is considered the independent variable .
3. In a linear equation of the form y = mx + c (where m is the slope and c is the y-intercept), the equation y = bx + a is written in a slightly different format. The variable "b" is equivalent to the slope "m" in the traditional equation, and "a" represents the intercept. The slope (b) determines the rate at which the dependent variable (y) changes with respect to the independent variable (x), while the intercept (a) represents the value of y when x is zero.
4. Given speed and stopping distance, which is the dependent variable, which is the independent variable?
In the context of speed and stopping distance, the dependent variable would typically be the stopping distance, and the independent variable would be the speed.
The dependent variable is the one that is expected to change or be influenced by the independent variable. In this case, we assume that speed affects stopping distance. As the speed of a vehicle increases, it generally takes longer to bring the vehicle to a stop, resulting in a greater stopping distance. Therefore, stopping distance depends on the speed at which the vehicle is traveling.
Consequently, the speed is considered the independent variable since it can be controlled or varied, and we expect it to have an influence on the dependent variable, which is the stopping distance.
Alternate hypothesis:
The alternate hypothesis is formulated to suggest that there is an influence of one variable on another. In this scenario, the alternate hypothesis could be: "There will be a significant influence of speed on stopping distance."
By conducting an experiment or collecting data, one could test this hypothesis statistically to determine whether speed has a significant impact on stopping distance.
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What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?
Answer:
an=an-1
Step-by-step explanation:
as it doesnt have -6 +3n
Describe the following pattern in your own words and write three next terms:1;2;4;8;16
Answer: Easy, give me brainliest if you can, hope this helps!
Multiply by two, 32, 64, 128
Answer:
double the number/ multiply the number by 2 the upcoming terms are 32, 64 and 128
Step-by-step explanation:
1x2=2
2x2=4
4x2=8
8x2=16
so all you gotta to is multiply it by 2, or saying it in another way, double it
then we continue with 16x2=32
32x2=64
64x2=128
Question please help me
9514 1404 393
Answer:
3x -y -30 = 0
Step-by-step explanation:
The reference line for the intercept can be written in standard form as ...
2x +5y = 20
Setting y=0 and solving for x, we find the x-intercept to be ...
2x = 20
x = 20/2 = 10
__
The line perpendicular to the first reference line can use the same x- and y-coordinates, but swapped, with one of them negated. If the line is right-shifted from the origin to the x-intercept point, its equation will be ...
3(x -10) -y = 0
In general form, this is ...
3x -y -30 = 0
_____
Additional comments
Perpendicular lines have slopes that are opposite reciprocals of each other. The slope of a line in general form is ...
m = -(coefficient of x)/(coefficient of y)
The opposite reciprocal of this can be had by swapping the coefficients and negating one of them.
In general form, we like to have the first coefficient positive, so we choose to negate the (new) y-coefficient in this problem.
The general form equation ax+by=0 would define a line through the origin. Using the usual methods for translating functions, we can make the line go through point (h, k) by writing the equation as a(x-h)+b(y-k) = 0. This is the method we used to make the line have the desired x-intercept.
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
If you divide 78 by 34, will the quotient be greater than or less than 34
?
Use the drop‐down menu to select your answer.
The quotient will be
Less Or greater
than the divisor, 34.
Answer:
The quotient will be less than the divisor, 34.
Step-by-step explanation:
The only way the quotient could be equal to or greater than the divisor if it the number is greater than the divisor squared.
Which function represents the points included in the table?
A. f(x) = -3x+2
B. f(x) = -2x+3
C. f(x) = 2x-3
D. f(x) = 3x-2
Which of the following results in a sum or a rational product? Choose all that apply.
π×5
3.1 +2.34
√16x√81
2.12×2/3
√5+√7
3.1 +2.34, √16x√81 and 2.12×2/3 will result in a sum or a rational product
How to determine a rational product or sum?A rational number is a number that can be written in the form of a/b, where a and b are integers, and b is not equal to 0. e.g 1/3, 2/3, √4 = 4/1, etc.
The opposite of a rational number is called an irrational or non-rational number. They are mostly in the form of square roots, which when evaluated can be expressed in the form a/b e.g √7, π, 2/√5, 3√11, etc.
For π×5:
Since π is considered an irrational number then π×5 is also irrational
For 3.1 +2.34:
3.1 + 2.34 = 31/10 + 234/100 = 136/25
This is rational
For √16x√81:
√16x√81 = 4 x 9 = 36
This is rational
For 2.12×2/3:
2.12×2/3 = 212/100 x 2/3 = 424/300
This is rational
For √5+√7:
√5+√7 can be written in the form of a/b, thus, it is not rational
Therefore, 3.1 +2.34, √16x√81 and 2.12×2/3 will result in a sum or a rational product. So 2nd, 3rd and 4th options should be chosen
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please help me on these 2 questions
Answer:
1. x2-2x-24=0
break middle term
= x2-6x+4x-24=0
factorise:
x(x-6)+4(x-6)=0
=(x+4)(x-6)=0
x+4=0
x= -4
x-6=0
x= 6
2. x2-11x+18=0
break middle term
x2-9x-2x+18=0
Factorise
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
x-2=0
x=2
x-9=0
x=9
Ask me if u don't know how to break middle term
Work out the volume of this sphere. Give your answer lo 1 decimal place. sphere radius = 19 cm
I think its 28730.9 cm3
Tamela compared the rates of three cable companies.
TV Watchers—$63.00 for 140 channels
Tel-EVision—$53.75 for 125 channels
Channels Galore—$41.80 for 110 channels
Which cable company has the best rate of price per channel?
Channels Galore has the best rate for price per channel.
Tel-EVision has the best rate for price per channel.
TV Watchers has the best rate for price per channel.
All of the companies have the same rate.
Answer:y = 4x-5.
Step-by-step explanation:
On the number line, if the number "k" is left to the number "t", is the product "kt" to the right of "t"?
1. t<0
2. k<1
How to do this DS problem fast???
The number "kt" is to the right of the number "t" on the number line.
We have, two numbers k and t, if k is left to the number t on a number line, we need to find whether the product kt is to the right of t or not.
Two conditions: t<0 and k<1.
Conditions:
t<0 implies that t is a negative number.k<1 implies that k is a fraction or decimal number less than 1.Number line: On the number line, the left of 0 are negative numbers. Since t<0, the number t lies to the left of 0.
Similarly, since k<1, the number k lies to the left of 1.
Product of k and t: Since k<1 and t<0, their product kt will be positive.
The product of two negative numbers is positive.
Hence, the product kt lies to the right of the number t.
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Sports science researchers determined that, of those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has not had three or more injuries?
0.15
0.25
0.50
0.85
Answer:
Step-by-step explanation:
0.63 hope this helps
The required value of probability can be found as 0.85. The correct option is (D).
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.
Then, the probability of an event is equivalent to the percent value.
Now, the probability of skateboarders not having 3 or more injuries is given as,
⇒ 1 - P(Three or more injury)
⇒ 1 - 15/100
⇒ 0.85
Hence, the probability can be obtained for not having 3 or more injuries as 0.85.
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any suggestions on how to solve this? thanks
Answer: x = 4
Step-by-step explanation:
You basically want to solve for the angle A. Do arcsin of 1/3, which is approximately 19.47 degrees. In this triangle, we are missing the adjacent and opposite, but we do have the angle luckily. Lets use SOH-CAH-TOA.
\(sin(theta) = \frac{opposite}{hypotenuse}\)
We can see here that doing sine will give us the length of the opposite
\(sin19.47 = \frac{x}{12}\). Do sine of 19.47, then multiply by 12. I got 4
How do you dilate a line segment around a point?
You dilate a line segment around a point by following a simple procedure mentioned below that begins with identifying the center of a line segment.
Dilating a line segment around a point is a simple process. First, you need to identify the center of the line segment.
Then, use a ruler or other measuring device to measure the distance from the center of the line segment to each end point.
To dilate the line segment, multiply the measured distance by the desired scale factor. Finally, draw a new line segment connecting the two new end points.
This will give you the dilated line segment around the point you identified at the beginning.
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Whats is 1.54 x 10^7 any one know
Answer:
15400000
Step-by-step explanation:
blah blah blah blah blah blah blah blah blah blah blah
Which of the following acronyms may be used in assessing the patient's level of consciousness? A. AVPU B. SAMPLE C. ABC D. C-A-B.
The acronym used in assessing a patient's level of consciousness is A. AVPU.
AVPU stands for Alert, Voice, Pain, and Unresponsive. This mnemonic is commonly used by healthcare professionals to quickly and easily assess a patient's level of consciousness. Here's a brief explanation of each level:
1. Alert: The patient is fully awake, responsive, and aware of their surroundings.
2. Voice: The patient responds to verbal stimuli but may not be fully alert.
3. Pain: The patient responds only to painful stimuli, such as pinching or applying pressure.
4. Unresponsive: The patient does not respond to any stimuli, indicating a potentially critical condition.
In assessing a patient's level of consciousness, the acronym AVPU is the most suitable choice among the options provided. It allows healthcare professionals to quickly evaluate a patient's responsiveness to various stimuli and determine their level of consciousness.
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Which of the following domains are closed and which are bounded?
(a) {(x,y)∈R2:x2+y2≤1}
(b) {(x,y)∈R2:x2+y2<1}
(c) {(x,y)∈R2:x≥0}
(d) {(x,y)∈R2:x>0,y>0}
(e) {(x,y)∈R2:1≤x≤4,5≤y≤10}
(f) {(x,y)∈R2:x>0,x2+y2≤10}
(a) The domain closed and bounded.
(b) The domain bounded.
(c) The domain closed.
(d) The domain bounded.
(e) The domain closed and bounded.
(f) The domain closed and bounded.
In this question, we have been given some domains.
We need to check which domains are closed and which are bounded.
A domain of function is said to be closed if the region R contains all boundary points.
A bounded domain is nothing but a domain which is a bounded set.
(a) {(x,y)∈R2:x^2+y^2≤1}
The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2
so, the domain closed and bounded.
(b) {(x,y)∈R2:x2+y2<1}
The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2
so, the domain is bounded.
(c) {(x,y)∈R2: x ≥ 0}
The domain of x ≥ 0 is R2 - {x < 0}
So, the domain is closed.
(d) {(x, y) ∈ R2 : x > 0,y > 0}
The domain is R2 - {(x, y) ≥ 0}
So, the domain is bounded.
(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}
The domain is closed and bounded.
(f) {(x,y)∈R2:x>0,x^2+y^2≤10}
The domain is closed and bounded.
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Select the reason that best supports statement 5 in the given proof.
Answer:
B
Step-by-step explanation:
if an angle is congruent, it is the same measurement
Jasmine enlarged a drawing she made in art class. What is the value of x
Original smaller drawing=2.5-Width 4-height / Enlarged drawing = Width - x Height- 60