Answer:
620
Step-by-step explanation:
To find the area of strangely-shaped structures, like this one, it is easiest if we cut the shape into smaller, more recognizable, shapes..
We can first cut off the top/center rectangle of this shape , which has a width of 10, and a length of 12. The "area" is length × width.
So, we multiply 12 × 10 to find the area of this section.
12 × 10 = 120
if we look at the bottom half, we can see that there is an identical rectangle (because it has the same width of 10 and length of 12) ! So, we can simply add 120 to our total twice to count both of these areas.
(when putting areas of multiple portions together, we add--not multiply)
120 (first/top rectangle)
+ 120 (lower rectangle)
_______________
240
So, our area so far is 240.
Now, we need to find the horizontal (left-right) section of this shape.
We can see that it has a width of 10 (look at the right end), and a length of 38 14 + 10 + 14 (38 total)
So, to find the area of this portion, we will multiply its length × width, which we know is: 38 × 10
38 × 10 = 380.
So, we can now add our areas together:
240
+ 380
__________
620
So, our area of this shape is 620
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{620 units squared}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Side lengths = 10, 12, 14, 14, 10, 12}\)
Find: \(\textsf{The area of the shape}\)
Solution: We need to split this shape into several different rectangles and once we find the area for each individual one we can combine them to get the total area.
Determine the area of the rectangle going down
\(A_{vertical}\textsf{ = l * w}\)\(A_{vertical}\textsf{ = 10 * (12 + 10 + 12)}\)\(A_{vertical}\textsf{ = 10 * 34}\)\(A_{vertical}\textsf{ = 340}\)Determine the area of the left rectangle
\(A_{left}\textsf{ = l * w}\)\(A_{left}\textsf{ = 14 * 10}\)\(A_{left}\textsf{ = 140}\)Determine the area of the right rectangle
\(A_{right}\textsf{ = l * w}\)\(A_{right}\textsf{ = 14 * 10}\)\(A_{right}\textsf{ = 140}\)Determine the total area
\(A_{total} = A_{vertical} + A_{left} + A_{right}\)\(A_{total}\textsf{ = 340 + 140 + 140}\)\(A_{total}\textsf{ = 620}\)Therefore, the total area of the given shape would be 620 units squared.
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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onsider the transformation.
Which statement about the transformation is true?
O It is isometric because the side lengths remained the
same,
• It is isometric because all
angle measures remained
the same.
It is not isometric because the side
lengths did not
remain the same.
O It is not Isometric because the
not remain the same.
angle measures did
Mark this and return
Save and Exit
The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
What is isometric transformation?An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.
The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.
Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
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HELP I WILL GIVE BRAINLIEST
Answer:
third one helps to get the median the best measure from centre.
A student in wildlife management studied trout habitat in the upper Shavers Fork watershed in West Virginia. The springtime water pH of 29 randomly selected tributary sample sites were found to have the following values:
6.2 6.3 5.0 5.8 4.6 4.7 4.7 5.4 6.2 6.0 5.4 5.9 6.2 6.1 6.0 6.3 6.2 5.8 6.2 6.3 6.3 6.3 6.4 6.5 6.6 6.1 6.3 4.4 6.7
Do the data of Exercise 17.8 (above) give good reason to think that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. (A neutral pH is the pH of pure water, pH 7.)
Step 1:
STATE: Is there evidence that the springtime water pH of the Shavers Fork watershed is not neutral (pH 7)?
FORMULATE: State hypotheses to be tested.
A. H 0 : μ = 7 vs. Ha : μ > 7
B. H 0 : μ = 7 vs. Ha : μ < 7
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
D. H 0 : μ ≠ 7 vs. Ha : μ < 7
Answer:
C. H 0 : μ = 7 vs. Ha : μ ≠ 7
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
Step-by-step explanation:
The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7
In symbols it will be written as
H0: : μ = 7 vs. Ha : μ ≠ 7
So choice C is the best option for this hypothesis testing.
Let the significance level be 0.05
The degrees of freedom = n-1= 29-1 = 28
The critical value is t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.
The test statistic to use is t- test
t= x- u/ s/√n
The total sum is 170.9 and mean = x= 5.893
The u = 7
And the sample standard deviation is =s= 0.63
Putting the values
t= 5.893-7/0.63/√29
t= - 1.107/0.11699
t= -9.4623
Since the calculated value of t = -9.462 falls in the critical region t ≤-2.048
We conclude that the springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.
Water is an example of a solvent true or false !
Hurry up and answer
You are a prisoner sentenced to death. The emperor (who has sentenced you) offers you a chance to live by playing a simple game. He gives you 10 black marbles, 10 white marbles, and 2 empty bowls. He then says, "Divide these 20 marbles into these 2 bowls. You can divide them any way you like as long as you place all the marbles in the bowls. Then I will blindfold you, and ask you to choose a bowl, and remove ONE marble from that bowl you have chosen. You must leave the blindfold on the entire time, and must remove the first marble you touch. If the marble is white you will live, but if the marble is black, you will die."
————
Please help?
Answer:
YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE
Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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I think of number I add 14 to the number and multiply the result by 3 if my final answer is 51 what number did I think of
Answer:
-1
Explanation:
Let the number be x.
Then the equation will be:
3(x+18) = 51
=> 3x + 54 = 51
=> 3x = 51 - 54
=> 3x = -3
=> x = -3/3
=> x = -1
So, the number you thought of is -1.
Answer:
The number is 3.
Step-by-step explanation:
\(3(14+x)=51\\42+3x=51\\3x=9\\x=3\)
Volume of a sphere in terms of π with a radius of 2
Answer:
33.51
Step-by-step explanation:
You need to use the equation \(\frac{4}{3} \pi r\)³.
Hope this helps.
Answer:10.7π
Step-by-step explanation:
radius=r=2
volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3xπx2x2x2
Volume of sphere=(4xπx2x2x2) ➗ 3
Volume of sphere=32π ➗ 3
Volume of sphere=10.7π
Suppose that you are conducting a study on the effectiveness of a new teaching method and that you wish to use a hypothesis test to support your claim regarding the mean test score under this method. What restrictions are there in the wording of the claim? Will your claim become the null hypothesis or the alternative hypothesis, or does it depend on the situation? Give an example of a claim which is incorrectly worded.
Answer & Step-by-step explanation:
In hypothesis testing, the claim being made is called the alternative hypothesis. The null hypothesis is the opposing statement, and it is presumed to be true until sufficient evidence suggests otherwise. The wording of the claim must be specific and precise, and one must clearly state the population, the parameter of interest, and the direction of the hypothesis test (i.e., one-tailed or two-tailed).
For example, a well-worded alternative hypothesis might be "The new teaching method will result in a higher mean test score for students than the traditional teaching method." In this case, the null hypothesis would be "The new teaching method will not result in a higher mean test score for students than the traditional teaching method."
An incorrectly worded claim might be "The new teaching method is better than the traditional teaching method." This claim is too vague because it does not specify in what way the new method is better, nor does it give a direction for the hypothesis test.
In summary, when conducting a hypothesis test to support a claim regarding the mean test score under a new teaching method, the wording of the claim must be specific and precise, and the claim will become the alternative hypothesis.
\( \rm\frac{d}{dx} \left ( \bigg( \int_{1}^{ {x}^{2} {}{} } \frac{2t}{1 + { t}^{2} } dt\bigg) \bigg( \int_{ 1 }^{ lnx} \frac{1}{(1 + {t)}^{2} }dt \bigg)\right) \\ \)
Applying the product rule gives
\(\displaystyle \frac{d}{dx}\int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \frac{d}{dx}\int_1^{\ln(x)}\frac{dt}{(1+t)^2}\)
Use the fundamental theorem of calculus to compute the remaining derivatives.
\(\displaystyle \frac{4x^3}{1+x^4} \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \frac{1}{x(1+\ln(x))^2}\int_1^{x^2}\frac{2t}{1+t^2}\,dt\)
The remaining integrals are
\(\displaystyle \int_1^{\ln(x)}\frac{dt}{(1+t)^2} = -\frac1{1+t}\bigg|_1^{\ln(x)} = \frac12-\frac1{1+\ln(x)}\)
\(\displaystyle \int_1^{x^2}\frac{2t}{1+t^2}\,dt=\int_1^{x^2}\frac{d(1+t^2)}{1+t^2}=\ln|1+t^2|\bigg|_1^{x^2}=\ln(1+x^4)-\ln(2) = \ln\left(\frac{1+x^4}2\right)\)
and so the overall derivative is
\(\displaystyle \frac{4x^3}{1+x^4} \left(\frac12-\frac1{1+\ln(x)}\right) + \frac{1}{x(1+\ln(x))^2} \ln\left(\frac{1+x^4}2\right)\)
which could be simplified further.
What is the equation of the line that passes through the points (1, 1) and (7, -5)?
Answer:
y = -1x+2
Step-by-step explanation:
(1,1)(7,-5)
y2-y1/x2-x1 = slope
-5-1/7-1 = -6/6= -1
y-y1 = slope(x-x1) // equation formula
y-1=-1(x-1)
y = -1x + 1 +1
y = -1x+2
help plzz tysm brainliest
5 thousands equals how many tens
HELP PLS LAST QUESTION I WILL MARK BRAIN :D
Answer:
6
Step-by-step explanation:
the answer to the question is 6 :D
A certain insurance company sells an home and auto insurance policy that covers losses incurred by a policy holder, subject to a deductible of $369. Losses incurred follow an exponential distribution with a mean of $396.
Find the 95 percentile of the actual losses that exceed the deductible.
The 95th percentile of the actual losses that exceed the deductible is given as follows:
$1,198.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The probability of obtaining a value lower than x is given as follows:
\(P(X \leq x) = 1 - e^{-\mu x}\)
Losses incurred follow an exponential distribution with a mean of $396, hence the decay parameter is of:
\(\mu = \frac{1}{396}\)
\(\mu = 0.0025\)
The 95th percentile is x for which P(X < x) = 0.95, hence:
0.95 = 1 - e^(-0.0025x)
e^(-0.0025x) = 0.05
x = -ln(0.05)/0.0025
x = $1,198.
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Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
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The vertices of ∆MNO and ∆PQR are described in the table. ∆MNO ∆PQR M (3, 9) P (−1, −3) N (9, 9) Q (−3, −3) O (12, 3) R (−4, −1) How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations? ∆MNO was dilated by a scale factor of 3 from the origin, then rotated 90° clockwise about the origin to form ∆PQR.
∆MNO was dilated by a scale factor of 3 from the origin, then translated down 2 and left 5 units to form ∆PQR.
∆MNO was dilated by a scale factor of one third from the origin, then reflected over the x-axis to form ∆PQR.
∆MNO was dilated by a scale factor of one third from the origin, then rotated 180 degree clockwise about the origin to form ∆PQR.
The correct justification for the similarity between ∆MNO and ∆PQR is:
∆MNO was dilated by a scale factor of 3 from the origin, then rotated 90° clockwise about the origin to form ∆PQR.
To see why this is the case, we can apply the transformations to the vertices of ∆MNO and see if they match the vertices of ∆PQR.
First, we dilate ∆MNO by a scale factor of 3 from the origin:
M' = 3M = (3(3), 3(9)) = (9, 27)
N' = 3N = (3(9), 3(9)) = (27, 27)
O' = 3O = (3(12), 3(3)) = (36, 9)
Next, we rotate the dilated triangle 90° clockwise about the origin:
P' = (cos(90°)P - sin(90°)Q, sin(90°)P + cos(90°)Q)
= (0P - (-1)Q, 1P + 0Q) = (Qx + 1, Py)
Q' = (cos(90°)Q - sin(90°)P, sin(90°)Q + cos(90°)P)
= (0Q - (-3)P, 1Q + 0P) = (Px + 3, Qy)
R' = (cos(90°)R - sin(90°)S, sin(90°)R + cos(90°)S)
= (4R - 4S, -4R - 4S) = (4(R - S), -4(R + S))
Substituting the coordinates of the original vertices, we get:
P' = (-1 + 1, -3) = (0, -3)
Q' = (-3 + 1, -1) = (-2, -1)
R' = 4(-4 + 1, -1 + 3) = (-12, 8)
Comparing the coordinates of ∆PQR with those of the transformed ∆MNO, we can see that they match. Therefore, the similarity between ∆MNO and ∆PQR can be justified by dilating ∆MNO by a scale factor of 3 from the origin, then rotating it 90° clockwise about the origin to form ∆PQR.
BIG IDEAS MATH
K
Tell whether the information in the figure allows you to conclude that point P lies on the perpendicular bisector of
LM.
L
P
M
Yes
O No
N
Explain your reasoning.
Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.
What is a perpendicular bisector?A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.
A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.
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Full Question:
Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.
A) No. You would need to know that LK ⊥ MK
B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
Anyone know this answer Help ASAP
Answer:
The right answer is A (x=2,y=-1)
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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20. What is the total cost of a $20 item after adding 5% sales tax?
A. $20.05
B. $21.00
C. $22.50
D. $25.00
Work Shown:
1.05*20 = 21
The 1.05 represents an increase of 5% because
100% + 5% = 1.00 + 0.05 = 1.05
if sin a = 7/25, cos a = 24/25, sin b = 3/5 and cos b= 4/5, find cos (a-b)
Answer:
\(cos(a-b) = \frac{117}{125}\)
Step-by-step explanation:
Explanation
Given that
\(sina = \frac{7}{25} , cos a = \frac{24}{25} , sinb =\frac{3}{5} and cosb =\frac{4}{5}\)
Cos(a-b) = cosa cosb + sina sinb
\(cos(a-b) = \frac{24}{25} \frac{4}{5} +\frac{7}{25} \frac{3}{5}\)
\(cos(a-b) = \frac{96}{125} +\frac{21}{125} = \frac{117}{125}\)
Final answer:-
\(cos(a-b) = \frac{117}{125}\)
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
Find the radius of a circle that has an area of 121 pi f2
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11
how many solutions does the equation have? 0 = -8q + 8q
Answer:
None really
Step-by-step explanation:
Q=0
456x5 is what I can’t figure this out please help!!
Answer:
2280
Step-by-step explanation:
Multiply 5 times 2325 it ain't that hard g just use google lol
Evaluate 4(x+3)(x+1)/(x+5)(x-5) for x =3. A. 3/2 B. -6 C. 6 D. -3/2
Answer: -6 ( sorry im kinda rushing so cant explain )
How many quarters and dimes do you need to make $1.45?
Answer:
.25 * 5 = 1.25
.1 * 2 = . 2
1.45
Step-by-step explanation: