Answer:
137 m²
Formula's:
area of rectangle: length + widtharea of triangle: 1/2 * base * heightExplanation:
⇒ area of rec + area of rec + area of rec + area of triangle
⇒ 2 * 4 + 7 * 6 + 8 * 9 + 1/2 * 6 * 5
⇒ 8 + 42 + 72 + 15
⇒ 137 m²
Answer:
137 m²
Step-by-step explanation:
Divide the figure into a triangle and 3 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x (8 + 7 + 2 - 4 - 7) x 5
= 1/2 x 6 x 5
= 15 m²
Rectangle 2
⇒ area = 4 x (2 + 7 + 8)
= 4 x 17
= 68 m²
Rectangle 3
⇒ area = 2 x (7 + 8)
= 2 x 15
= 30 m²
Rectangle 4
⇒ area = 3 x 8
= 24 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3 + rectangle 4
= 15 + 68 + 30 + 24
= 137 m²
In order to qualify for letter sorting l, applicants are given a speed-reading test. The scores are normally distributed, with a mean of 80 and a standard deviation of 8. If only the top 15% of the applicants are selected, find the score needed to qualify
Using the normal distribution, it is found that the score needed to qualify is of 88.32.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 80[/tex] and [tex]\sigma = 8[/tex].
The top 15% of the applicants are selected, hence the score needed to qualify is the 85th percentile, which is X when Z = 1.04, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.04 = \frac{X - 80}{8}[/tex]
X - 80 = 1.04(8)
X = 88.32.
The score needed to qualify is of 88.32.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is the value of a?
Answer:
what exactly is the equation?
Step-by-step explanation:
i need help with this question!!
Out of 40 girls, 10 girls can cook
well. What fraction of girls can
cook well?
Answer:
1/4
Step-by-step explanation:
10 girls can cook well out of a total of 40 girls.
this means 10/40 girls can cook well, simplified fraction by dividing top and bottom by 10, 1/4 girls can cook well
Answer:
1/4
Step-by-step explanation:
When you simplify 10/40 you get 1/4
_7_ × _ = 744
fill in the blank using the digits from 0 to 9
Step-by-step explanation:
372×2
Hence fill In this order
3 2 2
can anyone give me this answere
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ h= 11 \end{cases}\implies V=\cfrac{\pi (6)^2(11)}{3}\implies V=132\pi[/tex]
one sixth of a number is 9 algebraic expression
Answer:
x= 54
Step-by-step explanation:
let the number be (x)
so One sixth of x will be 9
numerically,
1/6 × (x) =9
x= 9×6
x= 54
One-sixth can be written as [tex]^1/_6[/tex]
now, let the number be y
so one-sixth of y is written as
[tex]^1/_6~y~=~9[/tex]
If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓[Solving for y]First we need to get rid of the fraction, one-sixth.
since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.
the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)
[tex]^1/_6*6~y~=~9~*~6}[/tex]
On the left-hand side the 6's cancel, and we're left with
1 y = 9 * 6
Or
y = 9* 6
Which simplifies to :
y = 54
Leslie asked a representative sample of 40 of her classmates about their favorite type of movie for an upcoming film festival.
Fill in the table to show reasonable predictions for the whole class.
Her class has a total of 160 students.
Answer:
Step-by-step explanation:
Given circle U with diameter ST and radius UQ. QR is tangent to U at Q. If
UQ = 8 and QR = 15, solve for U R. Round your answer to the nearest tenth if
necessary. If the answer cannot be determined, click "Cannot be determined."
Answer:
QT = 18
Step-by-step explanation:
what's the perimeter of the isoceles triangle shown below?
Answer:
16
Step-by-step explanation:
by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.
so we the perimeter is 16
A student rounded 3872 to the nearest hundred and to the nearest thousand. The student noticed that the results, 3900 and 4000, were not equal. The student claimed that the two results will never be equal when a number is rounded to the nearest thousand
what TWO numbers could be used to show that the student's claim is incorrect
select TWO correct answers.
A. 43,594
B. 55,962
C. 67,299
D. 72,357
E. 81,974
Answer:
C & D
Step-by-step explanation:
The two answers would be the same.
Hope this is correct.
BTW today is my bday.
In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.
to find:the probability of the students who studies art and biology.
solution:A= students study art
B= students study biology
N=42
n (ANB)= 10
n (A'NB)= 13
n (A'NB')= 7
the number of students who study only art:
n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')
= 42.10 - 13 - 7
= 12
the number of students who study only art:
= 16
p (ANB)= n (ANB)/N
= 10/40
= 0.238
probability the student who studies art and biology is 0.238.
n= 4/5 (m+7)
help please (solve for m)
Answer: Its not possible.
Step-by-step explanation:There aer two vairables. Whats the value of N
Hey there!
n = 4/5(m + 7)
n = 4/5(1m + 7)
n = 4/5(1m) + 4/5(7)
n = 4/5m + 28/5
n = 4/5m + 5.6
Thus, your answer is probably:
n = 4/5m + 5.6 or n = 4/5m + 28/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the measure of each exterior angle of the polygon.
I need help on this please its really hard its due in thirty min
Answer:
L < 5.25yd
Step-by-step explanation:
We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)
Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.
B*H=A now equals B*H=6
They also tell us that the width (which is a stand-in for height) is [tex]1\frac{1}{7}[/tex] so we can enter that in our formula as well
B*H=6 now is [tex]B*1\frac{1}{7} =6[/tex] and now we just have one unknown... the B (base)
And since [tex]B*1\frac{1}{7} =6[/tex] then [tex]6/1\frac{1}{7} =B[/tex]
Thus,
[tex]6yd / 1\frac{1}{7} = 5.25yd[/tex]
And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.
Thus,
L < 2.25
Hope that helped... Chow!
A movie theater charges $6.00 for children's tickets, and $8.75 for adult tickets. If the
movie theater made $1297.50, and there were 175 total tickets sold, how many adults
and how many children attended the movie?
Together, teammates Pedro and Ricky got 2680 base hits last season. Pedro had 280 more hits than Ricky. How many hits did each player have?
Answer:
Ricky it is 1,202
And for Pedro 1202 + 276 = 1478
Step-by-step explanation:
The computation is shown below:
Let us assume the ricky be x,
So, pedro be x + 276
Now the equation is,
x + x + 276 = 2680
2x + 276 = 2680
2x = 2680-276
2x = 2404
x = 1,202
For Ricky it is 1,202
And for Pedro 1202 + 276=1478
Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?
Answer:
The answer is 56. There would be 56, 18 inch pieces of rope.
Step-by-step explanation:
Give Brainliest if you would like :)
Please help me and please no links or bot me cuz i really need help
Answer:
hope this helps
Step-by-step explanation:
1) x =3 - S
2) x = 1 - O
3) x = 5 - L
4) x =. I don't understand this one. its 1/2 * 21? = V?
5) x = 10 - E
I NEED THIS ASAP WORK IS ABOUT TO BE DUE IN A COUPLE OF HOURS
Answer:
D
Step-by-step explanation:
The interquartile range is the difference between the last dot on the box and the first dot on the box.
20 - 40:
150 - 110 = 40
50 - 70:
125 - 95 = 30
17=3x-4
Find the value of x
Answer:
x=7
Step-by-step explanation:
A D
c
470 10
1. Find mCB 1339
2. If AB = 10, find length of AC
Round your answer to nearest tenth
1339
=
E
001
B
180
41
Answer: 4.1
Step-by-step explanation:
find the volume
of a rectangle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Volume of Rectangular prism ~
[tex]\qquad \sf \dashrightarrow \:length \times width \times height[/tex]
[tex]\qquad \sf \dashrightarrow \:20 \frac{1}{2} \times 10 \frac{1}{2} \times 12 [/tex]
[tex]\qquad \sf \dashrightarrow \:\frac{41}{2} \times \frac{21}{2} \times 12 [/tex]
[tex]\qquad \sf \dashrightarrow \:{41}{} \times {21}{} \times3 [/tex]
[tex]\qquad \sf \dashrightarrow \:2583 \: \: {m}^{3} [/tex]
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.
The length of the hypothenuse or the value of x is equal to 19.53
This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.
Data;
hypothenuse = xadjacent = 11.2opposite = 16Pythagoras's TheoremTo solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
x^2 = y^2 + z^2
Let's substitute the values and solve for the missing side.
[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]
The length of the hypothenuse or the value of x is equal to 19.53.
Learn more Pythagoras theorem here;
https://brainly.com/question/3317136
1/2 - 1/12 whats the answer
Answer:
To subtract or add fractions, we need to find a common denominator.
1/2 can turn into 6/12
so now we have
6/12 - 1/12 =
5/12
Since we cant simplify it, it stays as 5/12
Answer:
[tex]I~am~beinggreat78~and~i'll~help~you![/tex]
The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.
In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.
Find the volume of the pyramid.
Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
V = (25 * 18 * 20)/3 = 9000/3 = 3000 cm^3
Step-by-step explanation:
The formula for this question is fairly simple.
V = (l * w * h)/ 3
You multiply length, width and height- then you divide your answer by 3. This should equal the volume of your pyramid! (cm^3 means "centimeters cubed".....since your question says "Do not enter units" then there is no need for you to enter cm^3...)
HELP!
- Your work solving the inequality
- The solution in set notation
- The solution in interval notation
Round 19525 to the nearest hundred
Answer:19,500
Step-by-step explanation: Yw.
Which ones are correct?
Answer:
2 only
Step-by-step explanation:
This answer assumes that we can assume that lines which look straight are straight.
Straight angles are also known as 180 degree angles, and if a straight angle is cut in half, then the two parts must add up to 180 degrees. In the first picture, we see that 90-x and 90+x are the angle measurements.
(90-x)+(90+x)=90+90+x-x=180 degrees
the second one has angles 97 and 83, which add up to 180 degrees
the third one has angles which add up to more than 180 degrees, so any answer containing the third one as being correct is wrong.
The answer should be 1 and 2, but, that isn't an answer. Looking back at 1, it can be seen that if x is a negative number, or if x was a number greater than 180 degrees, then the picture would not work, so 1 is invalid. this leaves only 2, so 2 only.
PLEASE HELP
What is the middle term of the product of (x - 4)(x - 3)?
A. x
B. -7 x
C. - x
Answer:
x^2−7x+12 so -7x
Step-by-step explanation: