Answer:
972 u³
Step-by-step explanation:
The radius is 9 . We can use formula ,
⇒ V = 4/3 π r³
⇒ V = 4/3 × π × 9³
⇒ V = 4 × π × 81 × 3
⇒ V = 972 unit³
if (number only) PLEASE HELP
A survey found that women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also found that men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts (a) through (c) below.
Complete question :
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.
1-What percentage of adult men can fit through the door without bending?
2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below
A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.
B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.
C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.
Answer:
A.) 0.135%
B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.
C.)
Step-by-step explanation:
Percentage of adult men that can fit the door without bending :
Obtain the Zscore :
Mean height of men, m = 67.5
Standard deviation, s = 3.7
Zscore = (x - m) / s ; where x = 56.4
Zscore = (56.4 - 67.5) / 3.7
Zscore = - 11.1 / 3.7
Zscore = - 3
P(Z < - 3) = 0.0013499 (Z probability calculator)
P(Z < - 3) = 0.0013499 * 100% = 0.13499%
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
Point R has coordinates of (-6,-4). If line segment RS is 7 units in length, which could be the coordinates for point S?
Answer:
To be honest I haven't learned this yet so please reach out to me later
PLEASE HELP ITS TIMED!!! Which list represents all values of x for which the function has a discontinuity?
A.1
B.0 and 1
C.–2 and 1
D.–2, 0, and 1
Answer: D. -2, 0, and 1
Step-by-step explanation:
edge2021
The list that represents the values of x for which the function has a discontinuity is 0 and 1
How to determine the list of values?The function is given as:
[tex]f(x)=\dfrac{1}{x(x-1)}[/tex]
Start by setting the denominator to 0
x(x -1) = 0
Split the equation
x = 0 and x -1 = 0
Solve for x
x = 0 and x = 1
Hence, the list that represents the values of x for which the function has a discontinuity is 0 and 1.
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Helpppppp plzzz I need it I’m confused a lil
Answer:
Step-by-step explanation:
Cooper wrote checks on his checking account for $20, $20, $18, $20, and $35. He also deposited $53 in the account. Which number describes the change in the balance of his account?
A $11.99 B $ 31.39 C $ 53.41
please please help me on how to do congruent figures!
Answer:
x = 5
Step-by-step explanation:
Since both triangles are similar hence;
m<CAB = m<CDE
Given theta
m<CAB = 50degrees
m<CDE = 10x
Substitute the given angles
50 = 10x
Swap
10x = 50
Divide both sides by 10
10x/10 = 50/10
x = 5
Hence the value of x is 5
Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line
Answer:
b, c, d.
Step-by-step explanation:
Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.
It is given that there are three lines RS, TV, and SW.
Line RS goes through (-8, 6) and (2, 6).
Line TV goes through (-6, -4) and (8, -4).
Line SW goes through (2, 6) and (2,-8).
It is required to find true statements.
Statements are:
Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]
Where [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] are points lie on the line.
1. Finding line RS slope by using the above formula:
[tex]m=\frac{6-6}{2-(-8)}[/tex]
[tex]m=0[/tex]
2. similarly finding line SW slope:
[tex]m=[/tex] ∞
3. similarly finding line TV slope:
[tex]m=0[/tex]
4. If the two lines are parallel then their slope will be equal.
The slope of RS = The slope of TV.
Hence RS and TV are parallel.
5. If two lines are perpendicular then their product of slope will be -1.
Here we can see the product of the slope of SW and RS is not defined.
Hence these two lines aren't perpendicular.
Therefore, statements 2, 3, and 4 are correct.
Learn more about the slope of the straight line.
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A car travels 168 miles on 14 gallons of gas. How many gallons will it need to travel 312 miles?
Answer:
26 gallons of gas
Step-by-step explanation:
168 miles = 14 gallons of gas
312 miles = x gallons of gas
168 miles/14 gallons of gas = 312 miles/x gallons of gas
x = [tex]\frac{312 * 14 }{168}[/tex]
x = 26 gallons of gas
I think this is the answer
help i dont know what to do i give brainlist
Answer:
473 yd^3
Step-by-step explanation:
The surface area of the square base is (11 yd)^2, or 121 yd^2.
The surface area of one of the slanting sides of the pyramid is
A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.
Thus, four such sides have a combined surface area of 352 yd^2.
Combining the surface areas of the slanting sides with the base area yields 473 yd^3
A store is advertising a sale with 10% off all items in the store. The sales tax is 5%. A 55-inch
television is regularly priced at $855. What is the total price of the television, including sales tax,
if it was purchased on sale?
Answer:
$812.25
Step-by-step explanation:
Given data
Cost of TV= $855
Discount= 10%
Tax= 5%
Let us find the amount of the Discount
=10/100*855
=0.1*855
=$85.5
Let us find the amount of the Tax
=5100*855
=0.05*855
=$42.75
Hence the cost of the TV is
=855+42.75-85.5
=897.75-85.5
=$812.25
17. Name four linear pairs
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyhhhhhhhhhhhhhhhhhhhhhoooooooooooooooowwwwwwwwwwaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeyyyyyyyyyyyyooooooooooouuuuuuuuuuuudddddddddoooooooiiiiiiinnnnnnng
Cristian,Iris,and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answer:
Step-by-step explanation:
1/6
1/2 ÷ 3
1/2 × 1/3
1/6
Write the number 6,800 in scientific notation.
Answer:
6.8*10^3
Step-by-step explanation:
Answer:
The answer is 6.8 × 103.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
PLEASE HELPPPPPP me NOW IF U KNOW THE RIGHT ANSWER OMGGG
9514 1404 393
Answer:
68°
Step-by-step explanation:
Chords of the same length subtend arcs of the same measure.
Chord EF = Chord FG . . . . given
Arc EF = Arc FG = 68°
A store is instructed by corporate to put the markup of 43% on all items. An item costing 7$ is displayed by the manager at selling price of 3$ . Notice that the selling price is wrong . Find the correct selling price . What is the managers error?
Answer:
Selling rice is $10.00
Step-by-step explanation:
The manager put what the markup of $3.00 was to be added onto what the item cost.
can somebody please explain this to me. it’s timed
Answer:
258 cm PLZ GIVE ME BRAINLIEST
Step-by-step explanation:
Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2 : 1681=r^2: r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.
can someone help me on question 8
if you do answer please show your work if that isnt to hard
Answer:
x = -7, y = 3
Step-by-step explanation:
x = -2y - 1
x = 3y - 16
so:
-2y - 1 = 3y - 16
add 2 y to each side of the equation:
-1 = 5y - 16
add 16 to each side:
5y = 15
divide both sides by 5:
y = 3
x = 3(3) - 16 = -7
Help plsssss. It would rly be appreciated
Answer:
Step-by-step explanation:
No Idea!
NO LINKS!! Can someone please help? I'll give 25 points because I'm feeling nice. Thanks! Answer will also be marked Brainliest!
Answer:
D. - 2Step-by-step explanation:
5(4 +2x) = -(x - 5) - 720 + 10x = -x + 5 -710x + x = -2 - 2011x = - 22x = -22/11x = -2Correct choice is D
Help me with this please!!!!!!
Answer:
V = (4, 4 )
Step-by-step explanation:
Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M
let V = (x, y ) , W = (8, 6 ) , then
[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )
x + 8 = 12 ( subtract 8 from both sides )
x = 4
and
[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )
y + 6 = 10 ( subtract 6 from both sides )
y = 4
coordinates of V = (4, 4 )
Please and thank you
21
9. Simplify where possible:
a) 3a -4a +6a
b) 7y + 11y - 18y
c) 4x + 9y -5x - 10y
d) -2m + 3n-9m -4n
Answer:
9. a) 5a
b) 0
c) -x -y
d) -11m -n
hope this answer helps you.....
Answer:
I have calculated a b c d.I hope you wanted me to simplify it like that.that's the only method I know hope it helps.
i’m trying to find the 6 ratios in this.
Our 6 ratios:
10/24
10/26
24/26
24/10
26/10
26/24
What is the x-intercept of the graph whose equation is y+1=x3 ?
0
13
1
3
Answer:
the equation is y= 3x - 1
Step-by-step explanation:
to find the intersection with x just substitute 0 to Y.
0=3x-1
3x=1
x=1/3
The value of x-intercept of the graph whose equation is y + 1 = x³ is,
⇒ 1
We have to given that;
The equation is,
⇒ y + 1 = x³
Now, For x - intercepts;
Put y = 0 in above equation,
⇒ y + 1 = x³
⇒ 0 + 1 = x³
⇒ 1 = x³
⇒ x = ∛1
⇒ x = 1
Thus, The value of x-intercept of the graph whose equation is y + 1 = x³ is,
⇒ 1
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9. Select all the statements that must be true.
Parallelograms have four congruent sides
Both sets of opposite sides of a parallelogram are parallel and congruent
A trapezoid is a parallelogram
Diagonals of a parallelogram bisect each other
Diagonals of a parallelogram are congruent
The true statements about parallelograms are,
Both sets of opposite sides of a parallelogram are parallel and congruent.
A trapezoid is a parallelogram.
Diagonals of a parallelogram bisect each other.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
The true statements about parallelograms are,
Both sets of opposite sides of a parallelogram are parallel and congruent.
A trapezoid is a parallelogram.
Diagonals of a parallelogram bisect each other.
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The length of a rectangle is 15 cm and the width is 8 cm.
Which is the perimeter of the rectangle?
A. 11.5 cm
O B. 23 cm
O C. 30 cm
D. 38 cm
E.46 cm
Answer:
e
Step-by-step explanation:
15 +15+8+8 the a0ns is E
Answer:
E. 46cm
Step-by-step explanation:
Perimeter of a rectangle= 2(l+b)
Length=15 cm, breadth=8cm
Therefore, p= 2(15+8)
=2x23 = 46cm
what is the equation of the line that passes through the points -7 -1 and has a slope of 1
Answer:
Step-by-step explanation:
y - y1 = m (x - x1) the slope m = 1 (x1, y1) = (-7, -1)
y - -1 = 1 (x - -7)
y + 1 = 1 (x + 7)
y = x +6
x2-7x+12byx-3 divide of algebraic expression
Answer:
x - 4
Step-by-step explanation:
Please write X2-7x+12 by x-3 as x^2 - 7x + 12. The " ^ " represents exponentiation.
Notice that x^2 - 7x + 12 factors as follows: (x - 3)(x - 4), and so the original division problem
x^2 - 7x + 12 (x - 3)(x - 4)
-------------------- becomes -------------------- = x - 4
x - 3 x - 3
for all x except x = 3 (because we cannot divide by zero).