In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the followinv questions about the specified normal distribution

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Answer:

Step-by-step explanation:

[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]

Answer:

x=-3

Step-by-step explanation:

Answer: ok?

Step-by-step explanation:

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

Answer:

search it in internet.hope you'll find the answer

Answer:

cos(θ) = -0.95

Step-by-step explanation:

Remember the relation:

sin(θ)^2 + cos(θ)^2 = 1

So if we have:

sin(θ) = 0.3

we can replace that in the above equation to get:

0.3^2 + cos(θ)^2 = 1

now we can solve this for cos(θ)

cos(θ)^2 = 1 - 0.3^2 = 0.91

cos(θ) = ±√0.91

cos(θ) = ± 0.95

Now, yo can see that there are two solutions, which one is the correct one?

Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.

cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.

Then we can conclude that in this case, the correct solution is the negative one.

cos(θ) = -0.95

Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-3) / 6 - 5

= 2/1

= 2

Answer:

i think the answer is 126cm

Answer:

Please see the attached pictures for the full solution.

[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]

Answer:

if it's area the area would be the length of the diameter of the semi circle which is the height of the triangle multiplied by the base of the triangle to find the area of the triangle then to find the area of the circle would be pie multiplied by the diameter divided by two squared

[tex]\pi \ \times 7 {}^{2} [/tex]

then the total area would be the area of the triangle plus the area of the half circle

Answer:

should I fild the length of third side in this question ?

Answer:

If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.

Answer: m = 4/7

Step-by-step explanation:

x = m

y = 2m+1

so

x+3y = 7

or, m+3(2m+1) = 7

or, m + 6m+3 = 7

or, 7m = 4

so m = 4/7

Answer:

[tex]Sum = 32[/tex]

Step-by-step explanation:

Given

Sequence = Consecutive Odds

[tex]T_7 = 9[/tex]

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]

Add up all terms in the sequence

[tex]Sum = -3-1+1+3+5+7+9+11[/tex]

[tex]Sum = 32[/tex]

Answer:

Step-by-step explanation:

Area of circle equation:

Let the radius of bigger circle is x.

We have:

Solve for x:

19.8cm

Step-by-step explanation:

First find area of small circle:

A = πr2

A = 22/7 x 14 x 14

A = 22 x 2 x 14

A = 616cm2

Area of bigger circle is double that of the small circle:

= 616 x 2

= 1,232 cm2

πR2 = A

22/7 x r2 = 1,232

r2 = (1,232 x 7) ÷ 22

r2 = 8624 ÷ 22

[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]

radius of bigger circle = 19.8cm

K = 5n/m

F=KE

K= F/E

= 10/5

K = 5n/m

Answer:

Graph A

Step-by-step explanation:

Answer:

C= 100+ d*0.2

Step-by-step explanation:

Give data

Cost of rental = $100

Cost per km= $0.2

Total cost= C

Distance= d

Let us model the expression

Hence the expression is given as

C= 100+ d*0.2

Answer:

Min = -16; max = 0

Step-by-step explanation:

I plotted the inequalities for the constraints (see pic).

Sub in the coordinates of the vertices into the optimisation equation.

z = -(-4) + 5(-4) = -16

z = 0

z = -3 + 5(-1) = -8

Therefore, the max value of z is 0, and the min value is -16

Answer:

Third option: (1, 0), (2, 0), and (–3, 0)

Step-by-step explanation:

The x-intercepts are the points at which the graph of the function crosses the x-axis.

By reading the question, we can see that:

"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."

So the x-intercepts are:

(-3, 0)

(1, 0)

(2,  0)

Then the correct option is the third one:

"(1, 0), (2, 0), and (–3, 0)"

Answer: Option 3

Step-by-step explanation: Got it right on Edge

Answer:

x ≤ -15

Step-by-step explanation:

-x/3 ≥ 5

or, -x ≥ 15

or, x≤ -15

Answered by GAUTHMATH

Answer:

y =(x-9)^2 +2

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

y = a(x-9)^2 +2

We can choose a if not given another point so I choose a = 1

y =(x-9)^2 +2

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.

In a function, one value of the input can be related to only one value of the output.

In this problem, the input is the month and the output is the possible number of days in the month.

Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.

You can learn more about the function concept at https://brainly.com/question/12463448

Answer:

?

Step-by-step explanation:

If she already has 12 signatures: 60 - 12 = 48

48/3 = 16

so, she and her friends need at least 16 signatures each.

p being person;

p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = [tex]\frac{sum}{n}[/tex] = [tex]\frac{2340}{15}[/tex] = 156°