Answer:
4 yards
Step-by-step explanation:
they gained 12 yards and then lost 8
that can be expressed as 12-8=4
Answer:
12+(−8)
Step-by-step explanation:
In 2011, the mean property crime rate (per 100,000 people) for 10 northeastem regions of a certain country was 2368. The standard deviation was 395. Assume the distribution of crime rates is unimodal and symmetric. Complete parts (a) through (c) below.
a. What percentage of northeastern regions would you expect to have property crime rates between 1973 and 27637
68% (Type a whole number.)
b. What percentage of northeastern regions would you expect to have property crime rates between 1578 and 31587
95% (Type a whole number)
c. If someone guessed that the property crime rate in one northeastern region was 9027, would this number be consistent with the data set?
First find the upper bound for three standard deviations from the mean
The upper bound that represents three standard deviations from the mean is
The answers are as follows (a) So, the answer is 100%, (b) the answer is 95%, and (c) Since this value is greater than 3, it falls outside the range of three standard deviations from the mean. Thus, it is not consistent with the dataset. the answer is NO.
a. What percentage of northeastern regions would you expect to have property crime rates between 1973 and 27637? We know, Mean (μ) = 2368, Standard deviation (σ) = 395, We need to calculate z-scores for both the numbers, z1 and z2.
By using the formula,z = (x - μ)/σ, For 1973; z1 = (1973 - 2368) / 395 z1 = -0.1, For 27637; z2 = (27637 - 2368) / 395 z2 = 69.37. Now, we can use the z-table to find the area between -0.1 and 69.37, which is equivalent to the percentage of northeastern regions that would have property crime rates between 1973 and 27637.
The area between -0.1 and 69.37 would be approximately 100%. Thus, the expected percentage of northeastern regions that would have property crime rates between 1973 and 27637 would be 100% as 100% of the data falls within three standard deviations from the mean. Therefore, the answer is 100%.
b. What percentage of northeastern regions would you expect to have property crime rates between 1578 and 31587?
We know, Mean (μ) = 2368, Standard deviation (σ) = 395, We need to calculate z-scores for both the numbers, z1 and z2.
By using the formula, z = (x - μ)/σ, For 1578;z1 = (1578 - 2368) / 395 z1 = -2, For 31587; z2 = (31587 - 2368) / 395 z2 = 64. Now, we can use the z-table to find the area between -2 and 64, which is equivalent to the percentage of northeastern regions that would have property crime rates between 1578 and 31587.
The area between -2 and 64 would be approximately 95%. Thus, the expected percentage of northeastern regions that would have property crime rates between 1578 and 31587 would be 95%. Therefore, the answer is 95%.
c. If someone guessed that the property crime rate in one northeastern region was 9027, would this number be consistent with the dataset? The given number is 9027.
To determine whether this number is consistent with the dataset or not, we need to calculate its z-score.By using the formula, z = (x - μ)/σ, Here,x = 9027μ = 2368σ = 395
Putting the values in the above formula, z = (9027 - 2368)/395z = 15.74. The z-score for 9027 is 15.74. Since this value is greater than 3, it falls outside the range of three standard deviations from the mean. Thus, it is not consistent with the dataset. Therefore, the answer is NO.
For more questions on: standard deviations
https://brainly.com/question/475676
#SPJ8
Tara is planting a garden. There are 25 rows with 12 zucchini plants in each row. There are also 32 rows with 14 tomato plants in each row. How many total plants are there in the garden?
A.300
B.448
C.748
D.148
Answer:
C. 748
Step-by-step explanation:
25 rows x 12 zucchini plants = 300 zucchini plants total
32 rows x 14 tomato plants = 448 tomato plants total
300 zucchini plants + 448 tomato plants = 748 plants total
Hope this helped, have a nice day! :)
PLSSS HELPPPPPP PLSSSS
Answer:
Morgan, its a straight line and it goes through the origin
Step-by-step explanation:
Solve and show your work 4(2-x)=24
Answer:
x = -4
Step-by-step explanation:
4(2-x)=24
8 - 4x = 24
-4x = 16
x = -4
Let's check
4(2 -( -4)) = 24
4 (6) = 24
24 = 24
So, x = -4 is the correct answer!
Answer:
x=4
Step-by-step explanation:
4(2-x)=24
4*2= 8 4*x = 4x
8-4x = 24
24-8 = 16
4x = 16
16/4 = 4
x=4
What is the y-intercept of this graph?
Answer:
0,0
Step-by-step explanation:
To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept
9. Consider the statement: "The engine starting is a necessary condition for the button to have been pushed." (a) Translate this statement into a logical equivalent statement of the form "If P then Q". Consider the statement: "The button is pushed is a sufficient condition for the engine to start." (b) Translate this statement into a logically equivalent statement of the form "If P then Q"
(a) If the button has been pushed, then the engine has started.
(b) If the engine has started, then the button has been pushed.
In logic, the statement "If P then Q" implies that Q is true whenever P is true. We can use this form to translate the given statements.
(a) The statement "The engine starting is a necessary condition for the button to have been pushed" can be translated into "If the button has been pushed, then the engine has started." This is because the engine starting is a necessary condition for the button to have been pushed, meaning that if the button has been pushed (P), then the engine has started (Q). If the engine did not start, it means the button was not pushed.
(b) The statement "The button is pushed is a sufficient condition for the engine to start" can be translated into "If the engine has started, then the button has been pushed." This is because the button being pushed is sufficient to guarantee that the engine starts. If the engine has started (P), it implies that the button has been pushed (Q). The engine starting may be due to other factors as well, but the button being pushed is one sufficient condition for it.
By translating the statements into logical equivalent forms, we can analyze the relationships between the conditions and implications more precisely.
Learn more about logical equivalent here:
https://brainly.com/question/31039553
#SPJ11
Which of the following is a violation of one of the major assumptions of the simple regression model? a. The enor terms are independent of each other. b. Histogarn of the residuak form a bell-shaped, symmetrical curve. c. The error terms show no pattern. d. As the value of x increases, the value of the error term also increases.
Answer:
The correct answer is d. As the value of x increases, the value of the error term also increases.
Step-by-step explanation:
The simple regression model has several major assumptions, including:
Linearity: The relationship between the dependent variable and the independent variable(s) is linear.
Independence: The error terms are independent of each other.
Homoscedasticity: The variance of the error terms is constant for all levels of the independent variable(s).
Normality: The error terms are normally distributed.
No perfect multicollinearity: There is no perfect linear relationship between the independent variables.
Option d violates the assumption of independence, which states that the error terms are independent of each other and are not affected by the value of the independent variable(s). If the value of the error term increases as the value of x increases, then the error terms are not independent of the independent variable(s). This can lead to biased and unreliable estimates of the regression coefficients, and the resulting model may not accurately predict the dependent variable.
To know more about independent variable(s), refer here:
https://brainly.com/question/8285213
#SPJ11
Catherine works a hourly rate of $22.50 and earns double when she works overtime she works 40 regular hours and 12 hours overtime her is her straight time pay?
Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?
Answer:
28.39 ftStep-by-step explanation:
The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.
The angle opposite the ladder is 25°, slide has the length of x.
sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ftQuestion 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
For more such questions on lengths
https://brainly.com/question/28322552
#SPJ8
Which explicit formular describes the pattern in this table?
Answer:
C
Step-by-step explanation:
note that
\(6^{0}\) = 1
\(6^{1}\) = 6
\(6^{2}\) = 36
6³ = 216
that is 6 raised to the power of d gives the corresponding values of c
then explicit formula is
\(a_{d}\) = \(6^{d}\)
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
To know more about inverse function, visit
https://brainly.com/question/2541698
#SPJ11
If m∠A = m∠B and m∠A + m∠C = ∠D, then
m∠B + m∠C = ∠D.
Which property is shown?
reflexive property
substitution property
symmetric property
transitive property
Answer:
Substitution Property
Step-by-step explanation:
The change from the first equation to the final equation is m∠A has been replaced by m∠B. In other words, m∠B was substituted for m∠A.
Answer:
Substitution property
Step-by-step explanation:
Have a nice day!
this is all my points
Mr. Torrey draws and labels a figure, as shown below. He asks a group of students to each
write an expression that is equivalent to the perimeter of the figure in terms of the given
side lengths.
The students’ expressions are shown below.
Brian: 8(2r + s)
Marissa: 2(4r) + 2(4s)
Clara: 2(5r + 3r) + 4(2s)
Alex: 24 × r × s
Part A
Which expressions are equivalent to the perimeter of the figure? List all of the correct
expressions. Show how you know the correct expressions are equivalent to each other.
Part B
Hanif says that 2(4s) + 4(3r) is also equivalent to the perimeter of the figure.
Is Hanif correct? Justify your answer by substituting values for r and s.
Step-by-step explanation:
your answer would be 685 that's your answer
Answer:
dont mind me im just trying get points, since this question already got answered. :)
Step-by-step explanation:
(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
Learn more about polygon
https://brainly.com/question/24464711
#SPJ4
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
<95141404393>
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17).
f(x)=
Answer:
x^4 +y+1
Step-by-step explanation:
The quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is \(-17(x-1)^{2}\).
What is vertex form of a quadratic function?The vertex form of a quadratic function is \(f(x) = a(x-h)^{2} + k\) where a, h, and k are constants and (h, k ) is the vertex of the graph of the function.
According to the given question we have
The graph has the vertex is (1, 0) and passes through (2, -17)
Since, the general form of a quadratic function in a vertex form is
\(y = a(x-h)^{2}+ k\)
substitute, h = 1 and k = 0 in the above equation
⇒ \(y = a(x-1)^{2} +(0)^{2}...(i)\)
Also, the graph passes through the point (2, -17)
⇒ \(-17 = a(2-1)^{2}\)
⇒ -17 = a or a = -17
Substitute the value of a in equation (i).
⇒\(y = -17(x-1)^{2}\)
Therefore, the quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is \(-17(x-1)^{2}\).
Learn more about quadratic function in vertex form here:
https://brainly.com/question/13921516
#SPJ2
Write as a percentage.
30/50
a data warehouse of a train company contains information about train segments. it consists of six dimensions, namely, departure station, arrival station, trip, train, arrival time, and departure time, and three measures, namely, number of passengers, duration, and number of kilometers. define the olap operations to be performed in order to answer the following queries. propose dimension hierarchies when needed. a. total number of kilometers made by alstom trains during 2012 departing from .. french or belgian stations. b. total duration of international trips during 2012, that is, trips departing from a station located in a country and arriving at a station located in another country. c. total number of trips that departed from or arrived at paris during july 2012. d. average duration of train segments in belgium in 2012. e. for each trip, average number of passengers per segment, that is, take all the segments of each trip, and average the number of passengers.
The Olap operations for a data warehouse of a train company contains information about train segments is performed in order to answer the queries with dimension hierarchies when needed.
OLAP operation for first case is Filter on the train dimension to select only Alstom trains. Filter on the departure station dimension to select only French or Belgian stations. Filter on the year dimension to select only 2012. Aggregate the number of kilometers measure across the selected dimensions
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for the second case is Filter on the departure station and arrival station dimensions to select only trips that cross country borders. Filter on the year dimension to select only 2012. Aggregate the duration measure across the selected dimensions
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for third case is Filter on the departure station and arrival station dimensions to select only trips that involve Paris. Filter on the month dimension to select only July 2012. Aggregate the number of trips measure across the selected dimensions.
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for fouth case is Filter on the departure station and arrival station dimensions to select only trips that involve Belgian stations. Filter on the year dimension to select only 2012.Aggregate the duration measure across the selected dimensions. Calculate the average duration of the segments
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
OLAP operation for fifth case is Aggregate the number of passengers measure across all segments of each trip. Divide by the number of segments per trip to get the average number of passengers per segment
Dimension hierarchies for this case is Station dimension: Country > City > Station, Trip dimension: Year > Month > Day > Trip ID.
To know more about OLAP operation:
https://brainly.com/question/30010032
#SPJ4
Consider the exponential function with equation A = P(1+r)t
a. Name the independent and dependent variables.
b. What is the growth factor?
The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.
The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025
Learn more about principal amount
https://brainly.com/question/30163719
#SPJ11
IMPORTANT PLEASE I NEED NOW:Find the area of each face of the cube whose volume is 729 cm
Answer:
81
Step-by-step explanation:
square root of 729= 9
9×9=81
Answer:
Step-by-step explanation:
Formula of Volume= \(a^{3}\) - a = side
Therefore since the volume is given you just need to find the side.
729=\(a^{3}\) = \(\sqrt[3]{729}\) = a
= 9 = a
Now you know that 9 is the side, so using that find the area of one face-
Area of a square= 9 x 9 = 81\(cm^{2}\)
Calculate the p-value for the following conditions and determine whether or not to reject the null hypothesis:
a) one-tail test, Zx= 1.46, and a = 0.10
b) one-tail test, Zx = -2.48, and a = 0.01
c) two-tail test, Zx= -1.92, and a = 0.01
d) two-tail test, Zx = 2.76, and a = 0.02
(a) As the P-value is less than a = 0.10. So, we reject the null hypothesis.
(b) As the P-value is less than a = 0.01. So, we reject the null hypothesis.
(c) As the P-value is less than a = 0.01. So, we reject the null hypothesis.
(d) As the P-value is less than a = 0.02. So, we reject the null hypothesis.
What is the null hypothesis?
The null hypothesis asserts that no relationship exists between two sets of data or variables under consideration. The null hypothesis states that any empirically observed difference is due solely to chance and that no underlying causal relationship exists, hence the term "null."
Here, we have
(a) one-tail test, Zx= 1.46, and a = 0.10
We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.
The P-value for the right-tailed test is defined as
P(Zx > 1.46) = 1 - P(Zx ≤ 1.46)
= 1 - 0.9276
= 0.0721
As the P-value is less than a = 0.10. So, we reject the null hypothesis.
(b) one-tail test, Zx = -2.48, and a = 0.01
We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.
The P-value for the right-tailed test is defined as
P(Zx < -2.48) = 0.0066
As the P-value is less than a = 0.01. So, we reject the null hypothesis.
(c) two-tail test, Zx= -1.92, and a = 0.01
We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.
The P-value for the right-tailed test is defined as
P(|Zx| > -1.92) = 2×P(Zx≤ -1.92)
= 2×0.0274
= 0.0549
As the P-value is greater than a = 0.01. So, we reject the null hypothesis.
(d) two-tail test, Zx = 2.76, and a = 0.02
We have to find the P-value for the following conditions and determine whether or not to reject the null hypothesis.
The P-value for the right-tailed test is defined as
P(|Zx| > 2.76) =2×P(Zx≤ -2.76)
= 2×0.0029
= 0.0058
As the P-value is less than a = 0.02. So, we reject the null hypothesis.
To learn more about the null hypothesis from the given link
https://brainly.com/question/4436370
#SPJ4
a trend in a time series multiple choice occurs in a time series when there is a regular variation in the level of the data that repeats itself at the same time each year. contains the fluctuations that are not part of the other three components. is a long term change in the level of the data. is represented by wavelike upward and downward movements of the data around the long-term trend.
A trend in a time series represents a long-term change in the level of the data, indicating whether the overall trend is increasing, decreasing or remaining stable. Correct option is C.
In contrast to the trend, the seasonal component of a time series is a regular pattern that repeats itself at the same time each year. It reflects the influence of seasonal factors on the data and helps to explain the systematic variation that occurs within each year.
The cyclical component of a time series refers to fluctuations that are not part of the trend, seasonal, or irregular components. These fluctuations are typically longer-term in nature and are often linked to economic, social or political factors.
The irregular component of a time series captures the random or unpredictable fluctuations that are not explained by the other components. These fluctuations can be caused by unexpected events or errors in measurement.
In summary, a trend in a time series is a long-term change in the data, whereas the seasonal, cyclical, and irregular components reflect shorter-term variations in the data that are influenced by different factors.
By understanding the different components of a time series, we can gain insight into the underlying patterns and trends that are driving the data over time.
To learn more about time series click on,
https://brainly.com/question/28431232
#SPJ4
Complete question is:
A trend in a time series
multiple choice
A. occurs in a time series when there is a regular variation in the level of the data that repeats itself at the same time each year.
B. contains the fluctuations that are not part of the other three components.
C. is a long term change in the level of the data.
D. is represented by wavelike upward and downward movements of the data around the long-term trend.
how many grams are in 2000mg
Answer:
2g :)
Step-by-step explanation:
Answer:
2 grams in 2000 mg
Step-by-step explanation:
divide the mass value by 1000
Add.
3 7/11 + 9 6/11
Write your answer as a mixed number in simplest form.
Help
Answer:
13 2/11
Step-by-step explanation:
40/11+105/11
145/11
13 2/11
\(\huge\textsf{Hey there!}\)
\(\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}\)
\(\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}\)
\(\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}\)
\(\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}\)
\(\mathsf{40\times11=\boxed{\bf 440}}\)
\(\mathsf{105\times11=\boxed{\bf 1,155}}\)
\(\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }\)
\(\mathsf{11\times11=\boxed{\bf 121}}\)
\(\mathsf{\dfrac{440+1,155}{121}}\)
\(\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}\)
\(\mathsf{= \dfrac{1,595}{121}}\)
\(\mathsf{= 13\dfrac{2}{11}}\)
\(\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
\(\frak{Amphitrite1040:)}\)
petra wants to buy a skateboard. the skateboard deck usually costs $37.50, but it is on sale for 20% off.part of the sales tax rate is 5.2%, how much will petra pay for the skateboard deck in all? $30.00 $31.56 $31.95 $39.45
$31.56
37.50-20%=30
30+5.2%=31.56
does anyone know the answer to this problem
The figure is a square of sidelength of 3 units, we will get:
perimeter = 12 unitsarea = 9 square units.How to find the perimeter of the polygon?Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
To find the perimeter we will need to find the distances between consecutive vertices, we will get:
CD = √( (1 - 1)² + (1 - 4)²) = 3
DE = √( (1 - 4)² + (4 - 4)²) = 3
EF = √( (4 - 4)² + (4 - 1)²) = 3
FC = √( (4 - 1)² + (1 - 1)²) = 3
So the perimeter is the sum of these distances, then:
P = 3 + 3 +3 + 3 = 12 units.
For the area, we can notice that all the side shave the same length, thus, this is a square of sidelength 3, then the area is:
A = 3*3 = 9 square units.
Learn more about squares:
https://brainly.com/question/24487155
#SPJ1
Write the equation of the line that passes through the points 3,3 4,-1
The histogram shows the number of items that customers bought during a trip to the grocery story 1 day. 400 customers took a trip to the grocery store that day. Which is the best estimate for the number who bought at least 50 items during their trip
The number of people who bought fewer than 30 items exists 204.
What is meant by histogram?The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.
Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).
Number of people who bought fewer than 30 items
= (0.14 + 0.12 + 0.24)400
= 0.51 x 400 = 204
Therefore, the correct answer is option B) 204.
The complete question is:
The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?
A) 278
B) 204
C) 148
D) 106
To learn more about histogram refer to:
https://brainly.com/question/28164315
#SPJ4
What type of quadrilateral is formed by the points A(1, 2), B(3, 5), C(3, 8), and D(1, 5)?
Hint: Use distance formula
The type of quadrilateral is formed by the points A(1, 2), B(3, 5), C(3, 8), and D(1, 5) is parallelogram.
Given points:
A(1, 2), B(3, 5), C(3, 8), and D(1, 5)
we know that distance formula,
Distance between AB = \(\sqrt{(x_{2} - x_{1})^{2} +( y_{2} - y_{1})^{2} }\)
= \(\sqrt{(3 - 1)^{2} +( 5 - 2)^{2} }\)
= \(\sqrt{2^{2}+3^{2} }\)
AB = \(\sqrt{13}\)
BC = \(\sqrt{(3 - 3)^{2} +( 8 - 5)^{2} }\)
= \(\sqrt{0^{2}+3^{2} }\)
= \(\sqrt{9}\)
= 3
BC = 3
CD = \(\sqrt{(1 - 3)^{2} +( 5 - 8)^{2} }\)
= \(\sqrt{(2^{2} +3^{2} }\)
CD = \(\sqrt{13}\)
AD = \(\sqrt{(1 - 1)^{2} +( 5 - 2)^{2} }\)
= \(\sqrt{0^{2}+3^{2} }\)
AD = 3
AC = \(\sqrt{(3 - 1)^{2} +( 8- 2)^{2} }\)
= \(\sqrt{2^{2} +6^{2} }\)
AC = \(\sqrt{40}\)
BD = \(\sqrt{(1 - 3)^{2} +( 5 - 5)^{2} }\)
= \(\sqrt{2^{2} +0^{2} }\)
BD = 2
Here AB = CD,BC = DA . But AC ≠ BD
Hence the pairs of opposite sides are equal but diagonal are not equal so it is a parallelogram.
Learn more about the quadrilateral and distance here:
https://brainly.com/question/4110871
#SPJ1