Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99​% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That​ is, find the hip breadth for men that separates the smallest 99​% from the largest 1​%.

Answer:

JKL = 117

Step-by-step explanation:

63 and JKL form a straight line and their sum is 180

63+ KJL = 180

Subtract 63 from each side

63+ KJL - 63 = 180-63

JKL = 117

Answer:

g(-6) = 10

Step-by-step explanation:

-3x - 8 = 10

-3x = 18

x = -6

Answer:

[tex]g(x)=-5\cos (2x)[/tex]

Step-by-step explanation:

The given function is

[tex]f(x)=5\cos (2x)[/tex]

If a function reflected over the x-axis, then x-coordinate remains same but the sign of y-coordinate is changed.

[tex]P(x,y)\Rightarrow P'(x,-y)[/tex]

If function f(x) is a reflection over the x-axis to get the of g(x), then the resultant function is

[tex]g(x)=-f(x)[/tex]

Substituting the value of function f(x), we get

[tex]g(x)=-5\cos (2x)[/tex]

Therefore, the required function is [tex]g(x)=-5\cos (2x)[/tex].

Answer:

See below

Step-by-step explanation:

If you consider an open circle, it would exclude the value with which we have circled when writing the inequality. Hence the only possible signs with in such an example can be a greater than sign ( > ) or less than sign ( < );

Let us take a look at an example to help. We are given a graph with an open circle on the number say 3. An arrow extends to the right of this number 3;

[tex]Inequality Sign - <,\\Inequality - x > 3,\\[/tex]

Hope this helps!

Answer:

identify if the angle is a right angle, if it is bisected it means both sides are the same, set both equations equal to each other or add them up and set them equal to 90 or 180

Step-by-step explanation:

that is the explanation.

Answer:

B

Step-by-step explanation:

Given

[tex]\left[\begin{array}{ccc}3&2\\-4&6\\7&5\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-1&0\\5&2\\4&9\end{array}\right][/tex]

Subtract corresponding elements to obtain difference, that is

[tex]\left[\begin{array}{ccc}3+1&2-0\\-4+5&6-2\\7-4&5-9\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}4&2\\1&4\\3&-4\end{array}\right][/tex]  → B

Answer:

x= 11.25  y=6.75

Step-by-step explanation:

we will present all of that to equations so we have

7x+15y=180

and x+y=18

by solving those 2 equations together we get the solution

Answer:

the anwer is D: 44,44,92

Step-by-step explanation:

2n+10=4n+2 ---->8=2n ------> n=4

11n=11(4)=44

m<N=m<L=44

180-44-44=92

Answer:

it's 12 because

2×6=12

3×4=12

4×3=12

and all of them have twelve

Answer:

Step-by-step explanation:

2×6=12

3×4=12

4×3=12

Answer:

x - 5

Step-by-step explanation:

Again, we can just write the width as (x² - 25) / (x + 5) which will be x - 5.

Answer:

area = length x width

x² - 25 = x + 5 · width

(x - 5)(x + 5) = (x + 5)w

(x - 5)(x + 5) / (x + 5) = (x + 5)w / (x + 5)

x - 5 = w

Step-by-step explanation:

1. write down the formula of area.

2. since the area is a difference of squares, factor them into two binomials, and replace the length by its measure. you can use w for width

3. to get width, divide the one of the binomials with the length that matches together to get w.

Answer:

Type 7.5 in the box!

Step-by-step explanation:

Consider the trapezoid formula ( ( base 1 + base 2 ) / 2 ) * height;

[tex]Length of Base 1 - 1 unit,\\\\Length of Base 2 - 4 units,\\\\Length of Height - 3 units ( length of x - intercept in shaded region )\\\\Area of Trapezoid = ( Average of Bases ) * Height = ( ( 1 + 4 ) / 2 ) * 3 = ( 5 / 2 ) * 3 = 7.5 square units,\\\\Solution; 7.5 square units[/tex]

Area = 7.5 square units

The area of the trapezoid is 7.5 square units.

The length of base 2 = 4 units.

The length of height = 3 units.

The area of the trapezoid

= (Average of the two bases) × Height

Putting all the values in the above formula, we get

The area of the trapezoid

= {(1 + 4)/2} × 3

= 7.5 square units.

Hence, the area of the trapezoid is 7.5 square units.

To learn how to find the area of the trapezoid, refer:

Answer:

hold up

Step-by-step explanation:

Answer: each soda costs $1.5 and each hotdog costs $3.

Step-by-step explanation:

If H is the price for one hotdog and S is the price for one soda, we have the equations:

for Jack.

3*H + 2*S = $12

For Angie.

1*H + 4*S = $9

Now we can isolate one of the variables in one of the equations and then replace it in the other equation, let's isolate H in the second equation:

H = $9 - 4*S

now we replace it in the first eq

3*H + 2*S = $12

3*($9 - 4*S) + 2*S = $12

$27 - 12*S + 2*S = $12

-10*S = $12 - $27 = -$15

S = $15/10 = $1.5

Now we can replace it in the equation for H and get:

H = $9 - 4*$1.5 = $3

So each soda costs $1.5 and each hotdog costs $3.

Answer: One hotdog cost $3 and One soda costs $1.5

Step-by-step explanation:

Let hotdogs be denoted by h

Let sodas be denoted as s

Jack bought 3 hotdogs and 2 sodas for a total of $12. This can be written as:

3h + 2s = 12

Angie bought 1 hotdog and 4 sodas for $9. This can be written as:

h + 4s = 9

3h + 2s = 12

h + 4s = 9

1 × (3h + 2s = 12)

3 × (h + 4s = 9)

3h + 2s = 12

3h + 12s = 27

Subtract the equation

-10s = -15

s = -15/-10

s = 1.5

One soda cost $1.5

Since h + 4s = 9

h + 4(1.5) = 9

h = 9 - 6

h = 3

One hotdog costs $3

Answer:

k

Step-by-step explanation:

Answer:

   quotient: 5x^4 -15x^3 +45x^2

Step-by-step explanation:

The division is performed in the attachment. At each stage, the quotient is the ratio of the highest-degree terms in dividend and divisor.

To find the dividend for the next step, subtract the product of quotient term and divisor from the current dividend. This is essentially the same way you do long division using integers.

Answer:

5

Step-by-step explanation:

my answer is 5

6 is the least significant

Answer:

3

Step-by-step explanation:

first work out wax used for cone using formula

1/3 x 3.14 x r squared x height

using this the total for the candle must be 113

formula for a sphere is 4/3 x 3.14 x r cubed

so we know 113 /3.14 / 4/3 = r cubed

cube root 27 = 3

Answer: 3.83m^3

Step-by-step explanation:

Use formula for volume of a triangular prism (Area of triangle times length of the figure)

Answer:

6

Step-by-step explanation:

idk i just added them all together

Slope of AB = 7-5/9-4

=2/5

Answer:

Option A

Step-by-step explanation:

I used a graphing tool to graph the equations given. When graphed, the lines intercept at (-2,3). Therefore, it is the solution to the system of equations. See the picture attached for the graph.

Option A should be the correct answer.

Answer:

A because it is super close together

Step-by-step explanation:

Answer:

B. 45°

Step-by-step explanation:

The angles of a triangle have to add up to 180°.

In this triangle C is given as 90°. That leaves 90° for the sum of the two others. Since the triangle is symmetrical, you can divide 90° by 2 to get to equal angles of 45°.

Answer:

shiiiiii this is easy ight so

A

A

B

hope it helps

Step-by-step explanation:

Answer:

2.08

Step-by-step explanation:

12.48 ÷ 6

= 2.08

Answer:

Hi

Answer:

= 1.6

Answer: Boths

Step-by-step explanation:

Answer:multiply the width and depth of the roomStep-by-step explanation:

the horizontal and vertical dimension

Answer:

3 unit

Step-by-step explanation:

3/4 x 4 = 12/4 = 3

Answer:

its 3-

Step-by-step explanation:

but i need it in fraction--

Answer:

1/6

Step-by-step explanation:

1/6