Answer:
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2
This means that [tex]\mu = 1810, \sigma = 92[/tex]
Middle 80%:
Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.
Minimum size:
The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = -1.28*92[/tex]
[tex]X = 1692.24[/tex]
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
Maximum size:
The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = 1.28*92[/tex]
[tex]X = 1927.76[/tex]
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
What is the solution to the equation?
Answer:
r = 29.82
Step-by-step explanation:
r/7.1 = 4.2
r = 7.1 x 4.2
r = 29.82
Answer:
29.82
Step-by-step explanation:
First, we multiply all terms by the same number to get rid of the denominators.
71 x /71/10 = 71 x 42
Next, we cancel the multiplied terms in denominator.
10 = 71 x 4.2
Solve!
10 = 29.82
The choices below contain the lengths of sides of four separate triangles. Which of the choices
is NOT a right triangle?
a. 12, 16, 20
b. 15, 36, 39
C. 20, 24, 26
d. 30, 40, 50
Answer:
C
Step-by-step explanation:
Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.
What is the right triangle?The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.
To find the right angle triangle it should satisfy the Pythagoras theorem
a. 12, 16, 20
[tex]12^{2} +16^{2} = 144 + 256[/tex]
= 400
[tex]20^{2}[/tex] = 400
Since it follows the Pythagoras triplet, it is a right-angle triangle.
b. 15, 36, 39
[tex]15^{2} +36^{2} \\= 1521[/tex]
[tex]39^{2} =1521[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
c. 20, 24, 26
[tex]20^{2} + 24^{2} \\= 976[/tex]
[tex]26^{2} = 676[/tex]
Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.
d. 30, 40, 50
[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]
Since it follows the Pythagoras triplet, it is a right-angle triangle.
Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.
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Which choice is equivalent to the fraction below?
5/16
O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5
Answer:
I think A
Step-by-step explanation:
But im not sure
How many times larger is the volume of Figure B than Figure A?
Answer:
k
Step-by-step explanation:
Solve each equation. If there is no solution, write no solution.
1. 161 = }
2. 10 = 1
3. Ini + 2 = 5
4. 4 = S - 3
5. x - 5 = -1
6. Zld= 49
7. Ir - 9] = -3
8. IC + 3 = 15
determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 5,15,45,...
Answer:
It's geometric and common difference is 3
Step-by-step explanation:
15/5=3
45/15=3
Answer:
its geometric and the common ratio is 3
Step-by-step explanation:
what are the importance of knowing the theorems on midline, trapezoid and kite
Answer:
It is important because it allows you to calculate the surface area of a trapezoidal prism
Step-by-step explanation:
Please Help please .
Answer:
i believe the answer is y =5
(13)^2 = (12)^2 +( y)^2
169= 144 + y^2
169-144= y^2
25= y^2
5 = y
Can someone please help me? I need someone to answer and explain, I’ll reward points + brainalist (btw only need help with 13)
Answer: 5982
Step-by-step explanation:
The area of the rectangle is L*w so 100*50= 5000
the area of the semi-circle on top is
[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]
Total area is 5000+981.75= 5981.75
round up to 5982
How much is 2 oz chocolate melted equivalent to cup measurement?
Answer:
2oz are 1/4 cup
done easy.
Step-by-step explanation:
A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.
[ ? ] km
Round to the nearest tenth.
9514 1404 393
Answer:
73.5 km
Step-by-step explanation:
The magnitude can be found from the law of cosines. The angle between the two vectors is 140°, so the magnitude is ...
c^2 = a^2 + b^2 -2ab·cos(C)
c^2 = 32^2 +46^2 -2·32·46·cos(140°) ≈ 5395.2348
c = √5395.2348 ≈ 73.452
The magnitude of the resultant vector is about 73.5 km.
Question 1 (1 point)
Solve 5 - 2x < 7
Ox-12
0x<-1
Ox>-1
Ox>-12
C. X > -1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−2x + 5 < 7
Step 2: Subtract 5 from both sides.
−2x + 5 − 5 < 7 − 5
−2x<2
Step 3: Divide both sides by -2.
−2x/−2 < 2/−2
x > −1
1/2 log2x=3log23 rewrite with out using logarithmic
Answer:
729
Step-by-step explanation:
[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]
[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]
[tex]\sqrt{x} =27 \\[/tex]
x=27²=729
Find the degree of the monomial (question in image)
Answer:
The answer to this question is 13
2 and 1/2 cups equal how many pints in fraction form
Answer:
1 1/2 pinyt
Step-by-step explanation:
Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3
HELPP
Answer:
-1.5, -(-2), 2.5, 8/3
Step-by-step explanation:
pretty sure this is right
please help! I get how to do the first part I just don't get how to do the second part.
9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
__
The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
__
If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
__
My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
PLEASE NEED HELP ASAP
Answer:
reflect over the y axis, move two units to the left and 8 units down
the sum of the first night term of an AP is n^2-3n. write down the 10th term
Answer:
T10 = 16Step-by-step explanation:
Using the expression for calculating the sum of an AP as:
Tn = Sn - Sn-1
When n = 10
T10 = S10 - S9
Given that;
Sn = n²-3n
S10 = 10²-3(10)
S10 = 100 - 30
S10 = 70
S9 = 9² - 3(9)
S9 = 81 - 27
S9 = 54
Substitute the given values
T10 = S10 - S9
T10 = 70 - 54
T10 = 16
Hence the 10th term of the sequence is 16
find the perimeter of the figure
Answer: [tex]9 \frac{1}{2} x+5[/tex]
Step-by-step explanation:
In order to find the Perimeter, we add all the segments up.
(2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)
=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis
=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same
denominator
=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together
=(9x+1/2x)+5 ⇔ Combine like terms
=9 1/2 x +5
Hope this helps!! :)
Please let me know if you have any questions
u - 6.46 = 4.42
u = _
Answer:
u = 10.88
Step-by-step explanation:
u - 6.46 = 4.42
u - 6.46 + 6.46 = 4.42 + 6.46
u = 10.88
1895 x 7895+ 6575-1.753=?
Answer:
Step-by-step explanation:
1895 x 7895 + 6575 - 1.753
14961025 + 6575 - 1.753
14967600 - 1.753
14,967,598.247
Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6
Answer:
1/8 = 0.125
1/9 = 0.1
2/3 = 0.6
4/7 = 0. 571428
3/10 = 0.3
5/3 = 1.6
9/5 = 1.8
5/6 = 0.83
A person is driving a car on a straight road. The graph shows the distance y in
miles that the individual is from home after x hours.
Find the slope-intercept form of the line.
y=x+
n
Answer:
Step-by-step explanation:
The equation of the line that passes through the points (1, 50) and
(3, 120) is y = 35x + 15.
We have,
The point-slope form of a linear equation is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line.
The slope (m) using the given points:
m = (y₂ - y₁) / (x₂ - x₁)
Substituting the values from the given points (1, 50) and (3, 120).
m = (120 - 50) / (3 - 1)
= 70 / 2
= 35
Use (1, 50)) and substitute its coordinates into the point-slope form:
y - y₁ = m(x - x₁)
y - 50 = 35(x - 1)
Simplifying further:
y - 50 = 35x - 35
y = 35x - 35 + 50
y = 35x + 15
Therefore,
The equation of the line that passes through the points (1, 50) and
(3, 120) is y = 35x + 15.
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Which side lengths form a right triangle?
Choose all answers that apply:
A
5, V6, V31
B
15, 5,50
C 9, 12,15
Answer:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](c)\ 9, 12, 15[/tex]
Step-by-step explanation:
Required
Side lengths that form a right triangle
Applying Pythagoras theorem
[tex]a^2 = b^2 + c^2[/tex]
Where a is the longest side.
So, we have:
[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]
[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]
[tex]31 = 25 + 6[/tex]
[tex]31 = 31[/tex]
This forms a right triangle
[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]
[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]
[tex]2500 = 5 + 5[/tex]
[tex]2500 \ne 10[/tex]
This does not form a right triangle
[tex](c)\ 9, 12, 15[/tex]
[tex]15^2 = 12^2 + 9^2[/tex]
[tex]225 = 144 + 81[/tex]
[tex]225 = 225[/tex]
This forms a right triangle
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times
you will roll an odd number?
Answer:
I think 1
Step-by-step explanation:
Maybe not 100% $ure
Answer:3
because yeah that the answear and stuff
Can someoneee please help me
9514 1404 393
Answer:
37°
Step-by-step explanation:
The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.
∠1 = 37°
__
Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.
The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.
what is 15 grams in mcg?
Answer:
15000000.00 mcg
Step-by-step explanation:
Solve and check please i need help
Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
Liam and Michael are going to play video games this afternoon.
Then, Liam going to play video games = 38
Michael going to play video games = 2
In 38 video games and 2 video games are exactly what Liam and Michael need.
So,
We can write,
Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]
As only one case is possible,
That is, [tex]2C_{2}[/tex] = 1
Probability = 1/(38!/(38-2)!2!)
= 1/(38!/36!2!)
=( 2! * 36! )/38!
= (2! * 36! )/38!*37!*36!
= 2!/38!37!
= 1/19!37!
= 1/703
= 0.001422
Rounding to nearest million ( 5 decimal )
Required probability = 0.001422
Therefore,
The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
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