Answer:
x = 18.25
x = 60.
Step-by-step explanation:
Top question w/ the triangle. All triangles must equal 180 degrees (or else it's not a triangle or more than 1 triangle; which if you take Trig, you will encounter).
Knowing that all triangles are equal to 180, you can add all the angles given and set it equal to 180 to solve for x.
\(35+70+(4x+2)=180\\x = 18.25\)
If the question above asks for the value of x, the answer is 18.25.
Second question, these two angles MUST equal 180 degrees. Therefore, we can add the two angles and set it equal to 180 and solve for x.
\(x+2x=180\\3x=180\\x=60\)
If the question asks for the value of x, the answer is 60.
If the question asks for the missing side or the side with x, MAKE SURE YOU REPLACE X WITH IT'S NUMERICAL VALUE!!!
The ________________ manages water resources in a 16-county region that stretches from Orlando to the Florida Keys, serving a population of 8.1 million (hint: Remember the water conservation calculator
South Florida Water Management
The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.
Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.
Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.
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PLS GET ME DA ANSWER ASAP AHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
You can use process of elimination. In D and A all the y numbers are staying the same. In B, the numbers are decreasing. So the only possible answer is C.
Hope this helped!! :D
For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.
In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..
1. Scenario: Income distribution of a population
- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.
2. Scenario: Exam scores in a class
- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.
3. Scenario: Housing prices in a city
- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.
Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.
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Twelve decreased by twice a number is -8. Find the number
Let the number be "x" , then according to the question :
• 2x - 12 = -8
Further solving
→ 2x = -8 + 12
→ 2x = 4 .
→ x = 2
★ Solution :
Let number be n.
\(\rule{130}{1}\)
☯ \(\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\)
\(:\implies\sf 2n - 12 = -8 \\\\\\:\implies\sf 2n = -8 + 12\\\\\\:\implies\sf 2n = 4\\\\\\:\implies\sf n = \dfrac{4}{2}\\\\\\:\implies\underline{\boxed{\sf n = 2}}\:\:\:\:\:\Bigg\lgroup\bf{Required\: number}\Bigg\rgroup\)
\(\therefore\:\underline{\textsf{The required number is \textbf{2}}}.\)
Please answer correctly.
Answer:
26 days were rainy.
Step-by-step explanation:
you said that 4 days were sunny out of the 30 days it rained. the answer is 26
can someone help with this??
Answer:
1 is 13480851.0638
2 is 20438709.6774
3 is 5812844.0367
Step-by-step explanation:
The perimeter of a sand volleyball court is 48 meters. It is 8 meters wide. How long is it?
for a normal distribution with a population mean of 80 and a standard deviation of 15, find the proportion of the population corresponding to scores between 65 and 110.
The proportion of population having score between 65 to 110 is 81.85%.
We have-
Mean of population = 80
Standard deviation of population = 15
We are supposed to find the proportion of the population corresponding to scores between 65 and 110.
According to the formula of the Z-score.
z = (x-μ)/σ
X=interval, μ= population mean ,
σ= standard deviation
Here,x = 65,μ= 80,σ= 15 andz = (65-80)/15z = -1
For Z=-1, From the z-table, the area to the left is 0.1587
Now, we need to find the area in the right It can be calculated as follows.
z = (110-80)/15 = 2.
Area to the left of Z=2.00 is 0.028
So, the area between Z= -1 and Z= 2 is
= Total Area - (area of population below 65 + area of population above 110)=1-(0.1587+0.0228)=0.8185
The proportion of the population corresponding to scores between 65 and 110 is 0.8185 or 81.85%.
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Homework: Section 11.1 Question 7. Complete the square to find the x-intercepts of the function given by the equation listed. f(x)=x² +34x+104 What are the x-intercepts? **** (Simplify your answer. T
Answer:
x² + 34x + 104 = 0
x² + 34x = -104
x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²
x² + 34x + 17² = -104 + 17²
x² + 34x + 289 = 185
(x + 17)² = 185
x + 17 = +√185
x = -17 + √185
What is the range of the data?
Answer:
The range of baskets per game is 5 baskets.
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
12 salesmen at a car dealership sale 876 cars in a year The sum of square for the number of cars sold is 64716.find the mean and standard deviation of the number of sold cars
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
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REWARDING 70 POINTS TO THOSE WHO GET IT RIGHT (MATH)
Answer:
18y+8x=y
Step-by-step explanation:
pretty sure this is correct
Answer:
y = 8x + 18Step-by-step explanation:
18 in is the initial length, the y- intercept. b = 18
The rate of change, the slope is 8. m = 8
The function is then:
y = 8x + 18Triangle VWX is formed by connecting the midpoints of the side of triangle STU. The lengths of the sides of the triangle VWX are shown. What is the length of the side
SU?
Figure not necessarily drawn to scale.
Examining the figure the length of the side SU is calculated to be
6
How to find the missing valueExamining the figure, it can be deduced that
XW = VT = 2 (opposite side of a parallelogram)
XV = WT = 2 (opposite side of a parallelogram)
VT = SV, therefore ST = 2 + 2 = 4
UW = WT, therefore UT = 2 + 2 = 4
The figure form similar triangles and the ratios as written below are equal
SU / VW = ST / XW = UT / XV
SU / VW = ST / XW
SU / 3 = 4 / 2
SU = 3 * 4 / 2
SU = 6
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just designed a cloister (a rectangular garden surrounded by a covered walkway on all four sides). the outside dimensions of the garden are 12 feets by 8 feet, and the area of the garden and the walkway together are 252 square feet. what is the width of the walkway?
The width of the rectangular walkway is 3 feet around.
The walkway has a uniform width around the rectangle.
Let the width of walkway be x
The total length of the garden and walkway will be (12+2x) feet
The total width of the walkway and garden would be (8+2x) feet
Area of the garden and the walkway together are 252 square
Let’s express this mathematically:
(8+2x)(12+2x) = 252
Let’s open the brackets;
96+ 16x+ 24x + 4x^2 = 252
4x^2 + 40x + 96 = 252
4x^2 + 40x + 96-252 = 0
4x^2 + 40x - 156 = 0
Let’s divide all through by 10. We have;
x^2 + 10x -39 = 0
X^2 +13x-3x-39 = 0
x(x + 13) -3(x+ 13) = 0
(x-3)(x + 13) = 0
x -3 = 0 or x + 13 = 0
x = 3 or -13
We ignore x = -13 since width cannot be negative in size
Therefore, the width of the rectangular walkway is 3 feet around.
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Create a number line for the value of probability (ranges from 0 to 1)
A mprobability line ranging from 0 to 1 is the following:
The line shows the probability from 0 to 1 where a probability of 0 indicates an impossible event and a probability of 1 indicates a certain event.
Mandy arranges tiles to form a sequence of
patterns.
Work out how many tiles there are in each of
the 5th and 6th patterns.
Pattern number
Pattern
Rule:
Start with 1 tile
Double the number of tiles each time
1
2
3
4
Answer:
2n-1
Step-by-step explanation:
Helppp me please asapppp
Answer:
y=-2/7x-2
Step-by-step explanation:
Just move the 2x to the other side, then divide both sides by 7.
Nasim invests money in an account paying a simple interest of 1. 3% per year. If he invests $70 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
If Nasim invests money in an account paying a simple interest of 1. 3% per year and he invests $70 and no money will be added or removed from the investment, the amount he will have in one year is 70 dollars and 91 cents
Simple interest refers to the interest that is calculated on the original amount or the principal. Simple interest is calculated by:
Interest = P * r * t
where P is the principal
r is the rate of interest (in decimal)
t is the time
Given in the question,
P = $70
r = 1.3% = 0.013
t = 1 year
Interest = 70 * 0.013 * 1
= $0.91
Amount = P + i
where P is principal
i is interest
A = 70 + 0.91
A = $70.91
The amount that Nasim has after 1 year is $70.91.
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The purpose of a(n) is to create an accurate drawing of either a very large or very small object
The purpose of a scale factor is to create an accurate drawing of either a very large or very small object.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric objects (shapes) such as equilateral triangles, quadrilaterals, polygons, river, planets in our solar system, etc.
Mathematically, the scale factor of a geometric object (shape) such as a map can be calculated by using this formula:
Scale factor = Dimension of image/Dimension of original figure
Generally speaking, a scale factor is typically used in conjunction with dilation, which is a type of transformation that changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased (enlarged) or decreased (reduced) based on the scale factor that is chosen and used.
In this context, we can reasonably infer and logically deduce that the purpose of a scale factor is simply for the creation of an accurate drawing of both very small geometric object and very large geometric object.
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Finding probability, please help!! show all work!!
Answer:
9/28 and 32.1%
Step-by-step explanation:
So the sample space consists of all products for (5 * 1, 5 * 2, 5 * 3.... and the same thing for 6, 7, and 8)
This gives you the sample space: {5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36, 7, 14, 21, 28, 35, 42, 8, 16, 24, 32, 40, 48}.
The size of the sample space is 4 * 6, since for each number (5, 6, 7, 8), there are 6 products (the dice have six numbers). This means the sample space has 24 combinations, you can also verify this by manually counting the sample space.
Now filtering the sample space so you only get a product that is 28 or higher you get: {30, 30, 36, 28, 35, 42, 32, 40, 48} which has 9 possible combinations that have a product greater than or equal to 28. Divide this by the entire sample space and you get a probability of: 9/28, which in decimal form is approximately: \(0.3214\). Multiplying this by 100 gives you: \(32.1\)%
Please can anybody help me with this question
Answer:
a. Right triangle (scalene)
b. Parallelogram
c. Square
d. Concave Quadrilateral
Step-by-step explanation:
a. Three sides makes it a triangle, there is a right angle (box on the angle means it is 90 degrees) and all side lengths are different (scalene)
b. Parallelogram means that there are four sides, and opposite sides are parallel, meaning if they were to continue, they would never touch.
c. Squares have four equal sides with all angles being right angles
d. Four sides makes it a quadrilateral, and one of the interior angles are greater than 180 degrees, making it concave.
I hope this helps, if you need anything explained let me know.
what does it mean by give your answer in 'terms of pi' ??
please help me and thanks
Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).
What is circle?A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.
Here,
The formula for the area of a quarter circle is given by:
A = (1/4)πr²
where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).
In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:
A = (1/4)π(8 cm)²
A = (1/4)π(64 cm²)
A = 16π cm²
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There are 20 counters in a box 6 are red and 5 are green and the rest are blue
find the probability that she takes a blue counter
The probability of drawing a blue counter from the box is 9/20.
To find the probability of drawing a blue counter, we need to determine the number of blue counters in the box and divide it by the total number of counters.
Given that there are 20 counters in total, 6 of them are red, and 5 of them are green. To find the number of blue counters, we can subtract the sum of red and green counters from the total number of counters:
20 - 6 (red) - 5 (green) = 9 (blue)
So, there are 9 blue counters in the box.
The probability of drawing a blue counter is the number of favorable outcomes (blue counters) divided by the total number of possible outcomes (all counters):
Probability = Number of blue counters / Total number of counters
Probability = 9 / 20
Therefore, the probability of drawing a blue counter from the box is 9/20.
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Select all the expressions that are equivalent to 16x - 12- 24x+ 4 16 x − 12 − 24 x + 4. Explain or show your reasoning.
1. 4+16x-12(1+2x)4 + 16 x − 12 ( 1 + 2 x )
2. 40x-1640 x − 16
3. 16x-24x-4+1216 x − 24 x − 4 + 12
4. -8x-8- 8 x − 8
5. 10 (1. 6x - 1. 2 - 2. 4x + 4)
1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.
what is expression?An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.
An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as
(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.
so we need to evaluate option 1 :
16x - 12 -24x +4
=> 16x - 12 -24x +4
the above expression is same as the expression mentioned in the question so option 1 is correct.
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Complete question :
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
a telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the south and the northeast. the representative's belief is based on the results of a survey. the survey included a random sample of 700 southern residents and 580 northeastern residents. 49% of the southern residents and 42% of the northeastern residents reported that they were completely satisfied with their local telephone service. find the 80% confidence interval for the difference in two proportions. step 1 of 3 : find the critical value that should be used in constructing the confidence interval.
The critical value for an 80% confidence interval is 1.28.
To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.
Step 1: Find the critical value.
Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.
Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.
Therefore, the critical value for an 80% confidence interval is 1.28.
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luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates the lowest common multiple of the four sums. if luke obtained an LCM of 24, find two different ways in which the cards could have been paired
Answer:
(5,7 6,2 4,8 1,3) and (7,1 5,3 4,8 6,2)
Answer: 5,7 6,2 4,8 1,3 7,1 5,3 4,8 6,2
Step-by-step explanation:
Which of these is NOT a terminating decimal?
A) 1.88
B) 1.875
C) 0.88
D) 0.8
Answer:
D
Step-by-step explanation:
the phone lines for an amazon returns office are typically all busy 75% of the time. if you are calling to attempt to set up a return, what is the probability that you will complete your call on the first attempt?
The probability that you will complete your call on the first attempt is 0.375.
Define the term total probability?The total probability like an experiment refers to the probability that it will take place.
The several minor events that such event may be made up of contribute to its chances. We can determine the possibility that an event will occur or not by looking at the overall probability.For the stated question-
75% of the time, all of the phone lines at an Amazon returns office are routinely busy.
P(A) = 0.75
The likelihood that your call will be answered on the first try:
P(B) = 1/2 = 0.5
You will successfully complete your call are both probabilities:
P(A ∩ B) = P(A). P(B)
P(A ∩ B) = 0.75 x 0.5
P(A ∩ B) = 0.375
Thus, the probability that you will complete your call on the first attempt is 0.375.
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