I DON'T UNDERSTAND THE ENGLISH OF THE QUESTION, WHAT IS 5-!?
Edit: I just realized the grey is part of the picture.
Answers
Answer:
The area of the small square is 1 cm^2
Step-by-step explanation:
The large square consist in four identical rectangles and one small square.
Then the area of the small square will be equal to the difference between the area of the large square and the areas of the rectangles.
Because we have 4 equal rectangles, if R is the area of one rectangle, and S is the area of the large square, the area of the small square will be:
area = S - 4*R
We know that the area of the large square is 49 cm^2
Then:
S = 49cm^2
Remember that the area of a square of side length K is:
A = K^2
Then the side length of the large square is:
K^2 = 49 cm^2
K = √(49 cm^2) = 7cm
And we know that the diagonal of one rectangle is 5cm.
Remember that for a rectangle of length L and width W, the diagonal is:
D = √(L^2 + W^2)
Then:
D = √(L^2 + W^2) = 5cm
And for how we construct this figure, we must have that the length of the rectangle plus the width of the rectangle is equal to the side length of the large square, then:
L + W = 7cm
L = (7cm - W)
Replacing this in the diagonal equation, we get:
√((7cm - W)^2 + W^2) = 5cm
(7cm - W)^2 + W^2 = (5cm)^2 = 25cm^2
49cm^2 - 14cm*W + W^2 + W^2 = 25cm^2
2*W^2 - 14cm*W + 49cm^2 = 25cm^2
2*W^2 - 14cm*W + 49cm^2 - 25cm^2 = 0
2*W^2 - 14cm*W + 24cm^2 = 0
We can solve this for W using the Bhaskara's formula, the solutions are:
W = [tex]\frac{-(-14)(+/-)\sqrt{14^{2}-4(2)(24) } }{2(2)}[/tex]
Then we have two solutions, and we only need one (because the length will have the other value)
We can take:
W = (14 cm + 2cm)/4 = 4cm
Then using the equation:
L + W = 7cm
L + 4cm = 7cm
L = 7cm - 4cm = 3cm
L = 3cm
Now remember that the area of one rectangle of length L and width W is:
R = L*W
Then the area of one of these rectangles is:
R = 4cm*3cm = 12cm^2
Now we can compute the area of the small square:
area = S - 4*R = 49cm^2 - 4*12cm^2 = 1cm^2
The area of the small square is 1 cm^2
This took me ages to complete so please brainliest
Related Questions
Write 600 as the product of prime factors give your answer in index
Answers
Answer:
5²×2³×3
Step-by-step explanation:
600=5×5×2×3×2×2
In index form this would be 5²×2³×3
Which equation shows that (x^4)^3=x^12
Answers
Answer:
A
Step-by-step explanation:
based on exonent rule (#^x)^y=#^xy
Answer:
Its option B, because exponents add when the problem is based on multiplication.
Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82
Answers
Answer:
Over
Step-by-step explanation:
Which is the solution to the equation 0.5X+4.2=5.9? Round to the nearest tenth if necessary.
O 0.9
3.4
5.1
20.2
Answers
Answer:
x = 3.4
Step-by-step explanation:
First start by subtracting 4.2 from both sides and getting .5x = 1.7. Now divide by .5 on both sides. Dividing by .5 is really the same as multiplying by 2, so you get x = 3.4.
Answer:
3.4
Step-by-step explanation:
I did this and got it right
Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges?
Answers
Answer:
2100
Step-by-step explanation:
The laptop costs $300 less than the desktop, so...
let x = cost of laptop
then x+300 = cost of desktop
The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:
252+=+.07%28x%29+%2B+.06%28x%2B300%29
252+=+.07x+%2B+.06x+%2B+18
234+=+.13x
1800+=+x
The cost of the laptop is x = $1800;
the cost of the desktop is x+300 = $2100
The tax on a new pair of headphones is $3.70 and the total cost after tax is $49.95 . What is the pre-tax price of the headphones
Answers
Answer:
the price is 46.25 dollars
Step-by-step explanation:
Write 64 as a product of primes.
Use index notation where appropriate.
Answers
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
Write 64 as a product of primes.
Use index notation where appropriate.
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex]Prime\ no.\ is\ 2[/tex]
Factorisation of 64=2×2×2×2×2×2
[tex]{2}^{6} [/tex]
Read the question tell me if it’s hard for a 5 grader
Answers
Answer:
No, all you are doing is ordering them from least to greatest value. Your answer would be C.
Step-by-step explanation:
Answer:
danggg them fifth graders are gonna break there head
Step-by-step explanation:
there’s the graph so yeah
Answers
Answer:
what
Step-by-step explanation:
Find p in terms of m if = r, r = p, p ≠0, and m > 0
Answers
F(x) = x^2. What is g(x)
Answers
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – kf(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Please HELPPPPPPPPPPPPPPPPPP
8x-6≥58
Answers
Answer:
x=8 but with the less than equal to sign
Step-by-step explanation:
you would add 6 to the -6 then add it to the 58. The 6 cancel so then add the 58 and the 6 when you do that you get 64 so now you are left with 8x with same sign and 64 now you would divide both side by 8 and you should get x less than or equal to 8
Answer: 8x -6 < 58
Step-by-step explanation:
8x -6 = -48 and -48 is less then 58 so it’s less than 58!
Macie Andersen earns $9.75 an hour working at the local bookstore. Last week she worked 17 hours. This week she worked 25 hours. What was her straight time pay for the two weeks?
Answers
Answer:
$407.50
Step-by-step explanation:
take 9.75 × 17=165.75
take 9.75 × 25=243.75
add 165.75 and 243.75=407.50
turn into dollars $407.50
Find the zeros of the function.
f(x) = 3x2 – 8x – 16
Answers
Answer:
amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4
Step-by-step explanation:
3x^2-8x-16 ------> (3x+4)(x-4)
3x+4=0 ----> 3x=-4 ----> x=-4/3
x-4=0 ----> x=4
Of the three elevation, -2 feet, -12 feet, and 30 feet, which represents the least number? Which represents the farthest from sea level?
Answers
Answer:
-12 feet represents the least feet and the farthest from sea level.
Step-by-step explanation:
Help me out please
I need it done by Monday
Answers
Answer:
1 C
2 D
3 C
4 B
5 A
6 C
Step-by-step explanation:
Answer: 1 C
2 D
3 C
4 B
5 A
6 C
Step-by-step explanation:
on a mountain the temperature decreases 18 degrees fahrenheit every 500 ft.what integer represents the change in temperature at 20,000 feet?
Answers
Step-by-step explanation:
first you double the temperature change and the hight of change being 18f and 500ft
this makes 36f and 1000ft
you then divide 20000 by 1000 witch is slightly easyer than 20000 divided by 500
this anwser is 20
then do 36-²⁰ witch you have to work out since i can do that in my head right now
Oliver is playing a game with his friends. Each player gets
7 pieces. In all, there are 70 pieces on the game board.
Which number sentence can be used to find the number
of people playing the game?
Help please
Answers
Answer: 70/7
Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.
According to researchers at Dan Jones & Associates, 1 in every 3 women has been a victim of domestic abuse (Domestic Violence: Incidence and Prevalence Study, Sept.–Dec., 2005). However, many experts on domestic violence believe that the proportion of women who are domestically abused is closer to p = .10. Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 and the probability of observing 4 or more abused women in a sample of 15 if p = .10. The results will lead us to believe that p=1/3 or p=.1? Group of answer choices p=1/3 p=.1
Answers
Answer:
A) 79.08%
B) 5.55%
C)p = 1/3 is more appropriate than p = 0.1
Step-by-step explanation:
This is a binomial probability distribution problem, so we will use the formula;
P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)
We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10
Thus;
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)
A) Thus at p = 0.3333;
P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949
P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143
Using online binomial probability calculator we can get the remaining values which are;
P(6) = 0.1786
P(7) = 0.1148
P(8) = 0.0574
P(9) = 0.0223
P(10) = 0.0067
P(11) = 0.0015
P(12) = 0.0003
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
Thus;
P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%
B) Now,for p = 0.1 and Using online binomial probability calculator, we have;
P(4) = 0.0428
P(5) = 0.0105
P(6) = 0.0019
P(7) = 0.0003
P(8) = 0.0000
P(9) = 0.0000
P(10) = 0.0000
P(11) = 0.0000
P(12) = 0.0000
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%
C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1
The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lower, but was raised after a tragic boating accident. The standard deviation of passenger weights is 26.7 pounds. The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pounds. Find the probability that a random sample of passengers will have a weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample. (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.) Note: As extreme or more extreme means that we are not only interested in values that are lower than the ones we observed, but also values that are as far away from the mean as ours in the positive direction.
Answers
Answer:
0.973
Step-by-step explanation:
Given the following :
Population mean (μ) = 185
Standard deviation (σ) = 26.7
Sample mean (m) = 177.6
Sample size (n) = 48
P(m > 177.6)
Z = (m - μ) / σ/√n
Z = (177.6 - 185) / (26.7/√48)
Z = −1.920176
P( z > - 1.920) = 1 - p(z < - 1.92)
Using the z table :
1 - p(z < - 1.920) = 1 - 0.0274 = 0.9726
= 0.973
Which of the following relations be a function? Select all that apply.
Answers
B
C
E
Explanation:
The x- axis cannot repeat numbers
Please help. This doesnt make sense.
Answers
Answer:
Reflection about the y axis followed by a translation left by 2 units.
Step-by-step explanation:
There is the answer. ^
There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are five choices for the first wire, four for the second wire, three for the third wire, etc.
Answers
Answer:
4
Step-by-step explanation:
44
There are 285 seventh-graders at Greg's school.
If there are 19 more girls than boys, how many seventh-grade boys are there? How many girls are there?
Answers
Answer:
124 boys and 161 girls
Step-by-step explanation:
There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.
Hope this is correct!
285 total students - 19 more girls than boys = 266 boys and girls
266 boys and girls divided by 2 genders = 133 boys and girls
133 boys in total
133 + 19 more girls than boys = 152 girls in total
Check answers:
133 boys + 152 girls = 285 total students
Final answer:
There are 133 seventh grade boys and 152 seventh grade girls
Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest drying paint you can find; you plan to measure the time (in seconds) for this paint to dry. From information provided by the paint supplier, you believe the time to dry is normally distributed with a standard deviation of 4 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 1.5 seconds of the actual mean drying time with a probability of 97%
Answers
Answer:
The sample size is [tex]n =33[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 1.5 seconds
The standard deviation is s = 4 seconds
Given that the confidence level is 97% then the level of significance is mathematically represented as
[tex]\alpha =( 100 -97)\%[/tex]
=> [tex]\alpha = 0.03[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.17[/tex]
Generally the sample size is mathematically represented as
[tex]n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2[/tex]
=> [tex]n =[ \frac{2.17 * 4 }{1.5} ]^2[/tex]
=> [tex]n =33[/tex]
A plane flew at a constant speed and traveled 762762762 miles in 555 hours.
How many miles would the plane travel in 333 hours at the same speed?
Answers
Answer:
457657657.2
Step-by-step explanation:
(762762762/5)*3=457657657.2 miles
In a city with one hundred taxis,1 is blue, and 99 are green. A witness observes a hit-and-run by a taxi at night and recalls that the taxi was blue, so the police arrest the blue taxi driver who was on duty that night.The driver pro claims his in no cence and hires you to defend him in court. You hire a scientist to test the witness' ability to distinguish blue and green taxi's under conditions similar to the night of the accident.The data suggests that the witness sees blue cars as blue 99% of the time,and green cars as blue 2% of the time.
Required:
Use this information to perform an analysis where you show that there is reasonable doubt about your clients' guilt
Answers
Answer:
the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.
Step-by-step explanation:
We are given;
P(car is blue) = 1% = 0.01
P(car is green) = 99% = 0.99
P(witness said blue | car is blue) = 99% = 0.99
P(witness said blue | car is green) = 2% = 0.02
We will solve this by using Bayes’ formula for inverting conditional probabilities:
Thus;
P(car is blue | witness said blue) =
[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]
Plugging in the relevant values gives;
(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333
Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%
if 57.75 is after a 30% taken off then what was the original price
Answers
Answer: 40.425
Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount
A statistician believes that women received more bachelor's degrees than men did last year. To test this claim, she selects colleges and universities randomly and compares the number of bachelor's degrees awarded to men and women. Suppose that data were collected for a random sample of 7 colleges and universities, where each difference is calculated by subtracting the number of degrees earned by men from the number of degrees earned by women. Assume that the number of degrees is normally distributed. The statistician uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈2.968, which has 6 degrees of freedom, determine the range that contains the p-value.
Answers
Answer:
0.0125
Step-by-step explanation:
The P-value can be calculated by using excel function T.DIST.RT(2.968,6).
Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.
Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.
WILL MARK BRAINLIEST Find the value of x in each case: c L, M ∈ KN
Answers
Answer:
x=27°
Step-by-step explanation:
2x+72° = x+<PLM
<PLM = x+72°
3x = x+<PML
<PML = 2x
(x)+(x+72)+(2x)=180°
4x = 108°
x = 27°