There are four different types of quadrilaterals: parallelograms, squares, rectangles, and rhombuses.
What is Quadrilateral?
A closed quadrilateral has four sides, four vertices, and four angles. It is a type of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total interior angle of 360 degrees.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions.
A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.
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How to solve this ?
Please help step by step
2.5 liters of water each day and 3 liters for adult
225 liters of water your family will having in 1 month when 2.5 liters of water for each day and 3 liters for adult.
Given that,
We have to find how much water your family will having in 1 month.
We know that,
What is amount of water in liters?When measured at its maximum density, which occurs at a temperature of about 4 °C, one litre of water has a mass of almost exactly one kilogram. As a result, one millilitre (1 mL), which is equal to 1000th of a litre, has a mass of approximately 1 g, and 1000 litres has a mass of approximately 1000 kg.
2.5 liters of water for each day
3 liters for adult
That means
1 month has 30 days
2.5×30=75
75×3=225
Therefore, 225 liters of water your family will having in 1 month when 2.5 liters of water for each day and 3 liters for adult.
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What is the domain of the function y=2/x-6?
The domain of the function is [6,∞).
What do you mean by the domain of the function?
The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x² and g(x)=1/x are all real integers with the exception of x=0. Additionally, we can define special functions with more constrained domains.
According to the given function in the question,
Remember that the the domain of the square root function are all the values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)
This in the real numbers, for negative values.
So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:
[tex]x-6\geq 0\\x\geq 6[/tex]
The domain of the function is all the numbers bigger than 6, including 6.
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convert 2 1/8 into an improper fraction
Raven and Tyler are selling their cups of hot chocolate for $2.25. They sold 11 cups. They are also sold 9 candy canes on the side for $0.75 each. They spent $7.50 on supplies that they will have to pay back to the bank.
How much did they earn from candy canes?
The amount they earn from the sale of candy canes as required is; $6.75.
How much did they earn from candy canes?It follows from the task content that the amount earned by Raven and Tyler as in the task content is to be determined.
Since they sell their cups of hot chocolate for $2.25 in which case they sold 11 cups.
However, the question requires that the amount which they earn from the sale of candy canes is to be determined.
Therefore, since each candy cane is sold for $0.75, it follows that the amount earned on 9 candy cones is;
= 9 × $0.75
= $6.75
Ultimately, the amount earned from the candy canes is; $6.75.
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Shivani and Yamini have certain amounts of
money with them. If Shivani gives 60 to Yamini, the
amounts with both will be equal. Instead, if Yamini
gives 20 to Shivani, the amount with Shivani would
become twice the amount left with Yamini. What is
the amount with Shivani?
Answer:
$300
Step-by-step explanation:
S = amount of $$ Shivani currently has
Y = ... Yamini currently has
1. If Shivani gives 60 to Yamini, the amounts with both will be equal:
S - 60 = Y + 60
2. if Yamini gives 20 to Shivani, the amount with Shivani would become twice the amount left with Yamini: 2(Y-20) = S+20
3. Simplify both equations and solve the system:
S = Y + 120
S = 2Y - 60
Y + 120 = 2Y - 60 ⇒ Y = 180
S = 180 + 120 = 300
2(w+2) -w = ( w-1) + 9
Answer:0=4
Step-by-step explanation:
2(w+2)-w=(w-1)+9
2w+4-w=(w-1)+9
1w+4=(w-1)+9
w+4=w-1+9
w+4=w+8
w+4 - 4 = w+8 - 4
w=w+4
w-w = w-w +4
0=4
The followings are the sys. BP in mmHg of 12 patents
under certain therapy of hypertension
183
144
152
178
157
114
178
152
194
163
118
158
Can we conclude on basis of these data that sample
mean is less than pop mean 165 mmHg
Let a = 0.05
There is no sufficient evidence to support that the population mean is less than 165.
What is mean ?
The average of a set of values is referred to as the mean in statistics and math. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The simple arithmetic mean involves adding the numbers together and dividing the result by the number of observations.
From the given data
183, 152, 178 , 157 , 194 , 163 , 144 , 114 , 178 , 152 , 118 , 158
Mean = 157.5833
Standard deviation s = 24.39
n = 12
Null hypothesis [tex]H_{0}[/tex] : μ = 165
Alternative Hypothesis [tex]H_{1}[/tex] = μ < 165
Level of significance ∝ = 0.05
degree of freedom (df) = n - 1
(df) = 12 - 1
(df) = 11
critical value [tex]t_{0.05 , 11}[/tex] = -1.796 (left - tailed)
Test - statistics (t) = ( mean - μ ) / ( s / √n)
(t) = -1.053
p - value = 0.1574
p - value > Significance level (∝)
0.1574 > 0.05
We fail to reject the null hypothesis
Critical value [tex]t_{0.05 , 11}[/tex] = -1.796
|[tex]t_{0.05 , 11}[/tex]| = 1.796
|test - statistics| < |critical value|
1.053 < 1.796
We fail to reject the null hypothesis
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please help!
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 13100 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 40-kilogram crates that can be loaded into the shipping container.
Answer:
Inequality: 40x + 13100 ≤ 24500
x ≤ 285
Step-by-step explanation:
how to find the degree of a term
The degree of the term is the power of the term
What does degree of the term?The degree of a phrase with a single variable is the exponent of that variable. The degree is equal to the exponents of all the variables when there are many variables.
degree we find by just looking at its power.
To further understand the word, let's look at an example.
[tex]7x^{8}[/tex] degree is 8
[tex]6y^{2}[/tex]degree is 2,
[tex]x^{2}[/tex] +[tex]y^{5}[/tex] degree will be 7
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A radioactive compound with mass 380 grams decays at a rate of 12.1% per hour. Which equation represents how many grams of the compound will remain after 4 hours?
The equation that represents how many grams of the compound will remain after 4 hours is A(4) = 380 *(1 - 12.1%)⁴
How to determine the equation?From the question, we have the following parametersa:
Mass = 380 grams
Rate of decay= 12.1% per hour
These parameters can be represented using the following exponential equation
A(n) = A *(1 - r)ⁿ
Where
n = number of hours = 4
A = Initial mass = 380
r = rate of decay = 12.1%
Substitute the known values in the above equation, so, we have the following representation
A(4) = 380 *(1 - 12.1%)⁴
Hence, the equation is A(4) = 380 *(1 - 12.1%)⁴
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The following information is used for questions 18, 19, 20, 21 and 22: You come up with what you think is a great idea for a new advertising campaign for your company. Your boss is worried that the ads will cost a lot of money and she wants to be 99% confident that the ads increase sales before rolling the new ads out nationwide. You run the ads in a typical city and take a random sample to see if people who saw the ad are more likely to buy the product. When you reported the results to your boss, you made a Type I error. 18. Explain in words the statistical meaning of this type of error.
The meaning of the type I error in the context of this problem is that money would be spent on ads without generating a increase in sales.
What are the hypothesis tested?The hypothesis test divide into null hypothesis and alternative hypothesis, as follows:
Null hypothesis: not enough evidence that the ads increase sales.Alternative hypothesis: enough evidence that the ads increase sales.What is a Type I error?A Type I error happens when a true null hypothesis is rejected.
Hence the company would think that they had enough evidence that the ads increase sales when in fact they do not, which would generate a significant reduction in the company's revenue, as they would spend more on ads without the increase in earnings from the extra sales.
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What is the RANGE of the cluster shown on this graph?
1 - 9 seconds
0 - 14 meters
1 - 6 meters
1 - 3 seconds
The range of the given cluster as represented in the image attached to the task content is; 1 - 6 meters.
What is the Range of the cluster shown in the graph?It follows from the task content that the range of the cluster shown in the task content is to be determined.
On this note, since the range of a set of data is the set of all possible output values which has a lower limit and upper limit respectively.
As evident in the task content; the minimum distance recorded was 1 meter while the maximum distance recorded was 6 minutes.
The range of the cluster is therefore; 1 - 6 minutes.
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Evaluate the expression for c = –9 and d = –5.
cd + c + d
Answer:
31
Step-by-step explanation:
Because c = -9 and d = -5, we replace the variables in the expression with the corresponding numbers.
cd + c + d --- > (-9)(-5) + (-9) + (-5)
Then we solve it.
(-9)(-5) + (-9) + (-5)
45 + (-9) + (-5)
36 + (-5)
31
Your friend is able to invest $90 a month in a 401(k) with a predicted growth rate of 3.5%. Your friend’s company will match 50% of your friend’s contributions.
How much does your friend’s company contribute every month?
$
(round to the nearest dollar)
Use Excel’s FV function to find the account balance after 20 years.
$
(round to the nearest cent)
How much was deposited over 20 years by your friend? By the company?
Your friend's contributions: $
(round to the nearest dollar)
The company's contributions: $
(round to the nearest dollar)
How much did your friend earn in interest?
$
(round to the nearest cent)
The balance of an account is given as follows:
[tex]B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}[/tex]
The meaning of each parameter is given as follows:
P is the periodic payment.r is the interest rate.n is the number of yearly compoundings.t is the time in years.The payments in this problem are given as follows:
$90 -> your friend.0.5 x $90 = $45 -> Company.For the balance over 20 years, the values of the parameters are given as follows:
P = 135, r = 0.035, n = 12, t = 20.
Then the balance is given as follows:
[tex]B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}[/tex]
[tex]B = \frac{135\left(\left(1 + \frac{0.035}{12}\right)^{12 \times 20}-1\right)}{\frac{0.035}{12}}[/tex]
B = $93,113.
The contributed amounts are given as follows:
Friend: 90 x 12 x 20 = $21,600.Company: 45 x 12 x 20 = $10,800.Hence the accrued interest is of:
93,113 - (21,600 + 10,800) = $60,713.
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What’s the sum of an infinite geometric series if a1 = 5 and r = 1/3?
Answer: C) 15/2
Step-by-step explanation:
Using the formula for the sum of an infinite geometric series,
[tex]\frac{5}{1-\frac{1}{3}}=\frac{15}{2}[/tex]
Determine the value of 0.
21⁰
sin0=opp/hyp
sin0=5/14
0=(sin^-1)5/14
0=21⁰
is 700% of 5 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
Great than 10, but less than 100
Step-by-step explanation:
Make 700% a decimal by dividing by 100
700/100 = 7
7 = 5 = 35
700% of 5 is 35.
Answer:Greater than 10 but less than 100
Step-by-step explanation
700% of 5 = 35
35 is greater than 10
but less than 100
hope this helps
The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
Is triangle RST is an acute triangle then m/s must be?
If triangle RST is an acute triangle, then m∠S must be less than 90°.
What is Acute Traingle?
A form of triangle called an acute triangle has acute angles at each of its three internal angles. Triangles with sharp angles are also known as acute triangles. Acute triangles have different side lengths, but their interior angles are always less than 90°.
Less than 90 degree angles are referred to as acute angles.When the three interior angles of a triangle are less than 90 degrees, the triangle is said to be "acute."In light of the foregoing, if triangle RST is an acute triangle,
then,
∠R , ∠S and ∠T, all are less than 90.
A triangle that is equilateral and has all three interior angles equal and less than 90 degrees, or angles that are all 60 degrees, is an example of an acute triangle.
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When can two triangles become SAS congruent?
When we have two sides and the angle between them, we have "SAS." Calculate the unknown side using the Law of Cosines, then find the lesser of the other two angles using the Law of Sines, and finally find the final angle by adding the three angles together to make 180 degrees.
The two triangles are congruent if we can demonstrate that two sides and the included angle of one triangle are congruent with two sides and the included angle of another triangle.
Triangles are considered congruent by SAS if their two sides match those of the other triangle's corresponding two sides, and if their included angles are parallel in both triangles.
Hence we get the required answer.
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The ratio of flour to sugar is 2 cups to 3 cups. If there are 5 cups of flour, how many cups of sugar are there?
The number of sugar cups will be equal to 7.5 cups.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.
The number of sugar cups will be calculated as,
F / S = 2 / 3
5 / S = 2 / 3
S = ( 5 x 3 ) / 2
S = 7.5 cups
Therefore, the number of sugar cups will be equal to 7.5 cups.
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What is an example of a complex fraction?
The example of a complex fraction is the fraction that consisting fraction on the numerator or denominator or both, that is 4 / (1/6)
The simple fraction consist of both numerator and denominator as whole number. The term on the top is the numerator and the term on the bottom is called the denominator
The complex fraction is defined as the fraction that consisting fraction on the numerator or denominator or both
The example of the complex fractions are
4 / (1/6)
Here the numerator is the 4 and it is a whole number. The denominator is 1/6 that is a fraction
Therefore, the example of a complex fraction is 4 / (1/6)
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20 is ______times as much as 2
solve for x: -3x-7=-8x-57
Answer:
x=-10
Step-by-step explanation:
-3x-7=-8x-57
Add 8x: 5x-7=-57
Add 7: 5x=-50
Divide 5: x=-10
Last week, Hayden rode his bike 5 times. Each time he biked a 3 mile path, a 2 mile path, and a 2 1/4 mile path. Which Expression represents the total number of miles he biked?
The expression that represents the total number of miles Hayden biked is A. 5 × (3 + 3 + 2 1/4)
Which expression represents the total number of miles Hayden biked?It is important to note that an expression simply refers to mathematical statements which have at least two terms which are then related by an operator. In this case, they contain either numbers, variables, or both.
In this case, since Hayden rode his bike 5 times and each time he biked a 3 mile path, a 2 mile path, and a 2 1/4 mile path. Then in this situation, the expression will be:
= 5 × (3 + 3 + 2 1/4)
In conclusion, the correct option is A.
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serenity held a fundraiser for her school and raised a total of $500. She received $150 in donations and then an additional $10 for every candle she sold.
Answer:
450 $ in tottle for every candle she sold.
Step-by-step explanation:
what value of x is in the solution set of 3x 4 5x 2 10 5 5 10
The value of x in the considered inequality's solution set is given by -10.
What is inequality ?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We have;
3(x - 4) ≥ 5x + 2
By solving;
3(x - 4) ≥ 5x + 2
3x - 12 ≥ 5x + 2
Adding -3x-2 on both sides we get ;
-12-2 ≥ 5x-3x
-14 ≥ 2x
Dividing both sides by 2,we get;
-14/2 ≥ 2x/2
-7 ≥ x
x ≤ -7
As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.
There is currently only the value -10 in the solution set because -10 ≤ -7.
As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.
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Edward's lacrosse team scored a total of 23 goals in 10 matches. What is the mean number of goals the team scored per match?
The mean number of goals the team scored is 2.3
MeanMean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency. To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of values.
Basically, the mean of a data set is the average of the entire data
mean = sum of all data / total number of data
mean = 23 / 10
mean = 2.3
The mean is 2.3
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Jessica and Zoe made $523.26 in profit on the first day of the sale! They left the money in their cash register and went to lunch. A dishonest person came into the room and stole $7.95 from the cash register. Jessica and Zoe split what was left in the cash register and each got to take home half. How much money did each student keep?
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
n = 141, x = 52; 90% confidence
The confidence interval for the population proportion p is: 0.3031, 0.4367.
How to find the confidence interval?First step is to find the population proportion p
p= x/n
p = 52/141
p = 0.37
Second step is to find the margin of error
z-score for 95 % confidence interval is 1.645
Margin of error = 1.645√0.37 (1- 0.37)/141
Margin of error = 1.645√0.37 (0.63)/141
Margin of error = 1.645√0.00165319
Margin of error = 1.645(0.04065945)
Margin of error = 0.06688
Third step is to find the Confidence interval
Confidence interval = p ± MOE
Confidence interval = (0.37 - 0.06688) , (0.37 + 0.06688)
Confidence interval =0.3031, 0.4367
Therefore the Confidence interval is 0.3031, 0.4367.
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