Recorded here are the germination times (in days) for ten randomly chosen seeds of a new type of bean. See Attached Excel for Data. Assume that the population germination time is normally distributed. Find the 99% confidence interval for the mean germination time.

Answer:

y=54 degrees

Step-by-step explanation:

2y+72=180

2y=108

y=54

Answer:

B

Step-by-step explanation:

72 + y + y = 180

72 + 2y = 180

2y = 108

2y/2 = 108/2

y = 54

Hope this helps ^-^

Answer:

19272 feet

Step-by-step explanation:

We are given that the distance between the person and peak is 5 miles.

and angle is [tex]47^\circ[/tex] when we look up at the mountain peak.

The given situation is best represented as a right angled triangle as shown in the attached figure.

[tex]\triangle[/tex]IKJ where [tex]\angle K = 90^\circ[/tex]

IK is the mountain.

J is the point where we are standing.

Distance JI = 5 miles

[tex]\angle J = 47^\circ[/tex]

To find: Distance IK = ?

We can use trigonometric identities to find IK.

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]sinJ = \dfrac{IK}{JI}\\\Rightarrow sin47 = \dfrac{IK}{5}\\\Rightarrow IK = sin47^\circ \times 5\\\Rightarrow IK = 0.73 \times 5\\\Rightarrow IK = 3.65\ miles \\\Rightarrow IK = 3.65 \times 5280\ ft\\\Rightarrow IK = 19272\ ft[/tex]

Hence, height of mountain = 19272 ft

Answer:

The volume of all 9 spheres is 301.6 [tex]in^3[/tex]

Step-by-step explanation:

Notice that three of the identical spheres fit perfectly along the 12 in side box, therefore we know that the diameter of each is 12 in/3 = 4 in.

Then the radius of each sphere must be 2 inches (half of the diameter). Now that we know the radius of each sphere, we use the formula for the volume of a sphere to find it:

[tex]V=\frac{4}{3} \pi R^3\\V=\frac{4}{3} \pi (2\,in)^3\\V=\frac{4}{3} \pi\, 8\,\,in^3\\V=\frac{32}{3} \pi\,\,in^3[/tex]

Now, the total volume of all nine spheres is the product of 9 times the volume we just found:

[tex]V_{all \,9}=9\,*\frac{32}{3} \pi\,\,in^3\\V_{all \,9}=96 \pi\,\,in^3\\V_{all \,9}\approx \,301.6\,\,in^3[/tex]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = [tex]\frac{1}{2}(b_1+b_2)\times h[/tex]

                                         = [tex]\frac{1}{2}(\text{GE+OF)}\times (\text{OG})[/tex]

                                         = [tex]\frac{1}{2}(3+6)\times 4[/tex]

                                         = 18 units²

Area of trapezoid GCDE = [tex]\frac{1}{2}(\text{GC+DE)}\times (\text{GE})[/tex]

                                         = [tex]\frac{1}{2}(7+2)\times 3[/tex]

                                         = 13.5 units²

Area of triangle AFH = [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]

                                  = [tex]\frac{1}{2}(5)(2)[/tex]

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

Answer:

  see below

Step-by-step explanation:

We presume you want to simplify ...

  [tex]\dfrac{x^2-9}{x+3}=\dfrac{(x-3)(x+3)}{x+3}=\boxed{x-3}[/tex]

__

The numerator is the difference of squares, so is factored accordingly. One of those factors cancels the denominator.

The correct answer is A

Explanation:

An orthographic drawing shows a three-dimensional figure from different perspectives or sides. Indeed, the orthographic drawing in the question shows how the object looks if you see this the front, side, and top of this. This implies the foundation drawing needs to match the figures of the orthographic drawing.

According to this, the correct figure is A because this is the only one that has a rectangle shape, and due to this, if you look at this from any different sides you will always see a rectangle. For example, the top view shows a rectangle of approximately 2x3 squares, and this view only fits with option A because B and C are not complete rectangles and therefore their top view is not a rectangle.

Answer:

Option D

Step-by-step explanation:

Cost for the materials to resurface 1 meter of the road is $750.

∵ 1 kilometer = 1000 meter

∴ 0.25 kilometer = 0.25 × 1000

                            = 250 meters

∵ Cost to resurface 1 meter of road = $750

∴ Cost to resurface 250 meter of road = 750 × 250

                                                                = 187,500

The cost of materials to resurface 0.25 kilometer of a road is $187,500.

Option D is the answer.

[tex]\displaystyle f(x) = (x + 2)(x + 2)[/tex]

[tex]\displaystyle f(x) = (x + 2)^2[/tex]

Answer:

[tex]f(x) = {(x + 2)}^{2} [/tex]

Step-by-step explanation:

[tex]f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} [/tex]

hope this helps you.

Answer: Minerals

Step-by-step explanation:

The Mineral belongs to the geosphere option (3) Mineral is correct.

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.

We have a statement:

Which part of Earth belongs to the geosphere?

The options are:

As we know, air belongs to the atmosphere.

Plants belong to the biosphere

Water belongs to the hydrosphere

Mineral belongs to the geosphere

The mineral is the part of the earth that belongs to the geosphere.

Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.

Learn more about the geosphere here:

https://brainly.com/question/5137630

#SPJ5

Answer:

[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]

hope this helps

Answer:

9x +17

Step-by-step explanation:

distrubute the numbers outside of the parenthesis to the inside. You would then be left with 4x +32 + 5x -15 from there you would combine like terms leaving you with 9x + 17

Answer:

3/4 or 0.75

Step-by-step explanation:

You have four options available

Lets say P(A) is pick a rocket

P(A) = 2/4 because there are two rockets in the four choices

simplify it to 1/2

P(B) pick a big = 2/4 because there are two bigs and two smalls.

simplify it to 1/2

P(A ∩ B) = Pick a big rocket = 1/4

P(AUB) = P(A)+P(B)- P(A ∩ B)

P(AUB) = 1/2+1/2- 1/4 = 3/4 or 0.75

Answer:

369

Step-by-step explanation:

One nickel = 0.05

0.05x=18.45

x=369

Answer:

The correct answer would be option 4

12x+20

 5y3

Hope that helps.Thank you!!!

Answer:

7/54

Step-by-step explanation:

let thenumber be x

then 22/7 /x = -11/27  

= 22x/7 = -11/27

= x = -11*7/27*22 = 7/54

Hope it helps!!

Answer:

V = 137.2

Step-by-step explanation:

We are given the volume equation. Simply plug in your r into the equation and calculate and you should get 137.189 as your answer.

Answer:

0.253 m/s

Step-by-step explanation:

radius r of the circular rise = 13 mm = 0.013 m

apparent weight loss = 50%

acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2

centripetal acceleration = 9.81 -  4.905 =  4.905 m/s^2

centripetal acceleration = [tex]\frac{v^{2} }{r}[/tex]

where v is the acceleration at the rise and r is the radius of the rise

centripetal force = [tex]\frac{v^{2} }{r}[/tex]  = [tex]\frac{v^{2} }{0.013}[/tex]

4.905 = [tex]\frac{v^{2} }{0.013}[/tex]

[tex]v^{2}[/tex] = 0.063765

v = [tex]\sqrt{0.063765}[/tex] = 0.253 m/s

Answer:

23.6

Step-by-step explanation:

Finding AC:

Cos 61 = [tex]\frac{adjacent}{hypotenuse}[/tex]

0.48 × 10 = Adjacent

AC = 4.8

Now, CB:

Cos 29 = [tex]\frac{adjacent}{hypotenuse}[/tex]

0.87 × 10 = CB

CB = 8.8

The perimeter:

=> 10+4.8+8.8

=> 23.6

Answer:

23.6

Step-by-step explanation:

Answer:

c. One response and one or more explanatory variables are related.

Step-by-step explanation:

Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.

Therefore, regression modeling describes how one response is related to one or more explanatory variables.

[tex]32500[/tex]

[tex]0.00604[/tex]

[tex]2.4 \times 10^6[/tex]

[tex]1.47 \times 10^{-3}[/tex]

Answer:

A) 32500

B) 0.00604

C) [tex]2.4 * 10^6[/tex]

D) [tex]1.47 * 10^{-3}[/tex]

Answer:  b) reflexive property

Step-by-step explanation:

When you are stating that a line is congruent to itself, you are using the Reflexive Property.

a) Associative Property: a + (b + c) = (a + b) + c

b) Reflexive Property: AB = AB

c) Substation Property: not a real property - does not exist

d) Transitive Property: If a = b and b = c, then a = c

Answer:

coefficient of the square is a.6

Answer:

The probability is [tex]2.7327 \times 10^{-9}[/tex]

Step-by-step explanation:

The probability of guessing correctly, P = 0.54

Probability of not guessing correctly, q = 1 – P  

q = 1 – 0.54 = 0.46

Number of trials, n = 32

Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.

Below is the calculation using binomial distribution.

[tex]Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}[/tex]

Step-by-step explanation:

1,2,3,4,5,6 is a set of 6 elements; therefore it has 2⁶=64 subsets

Answer:

B. AC = 2AB

hope it helps!

Step-by-step explanation:

AC is half of AB

so if the statement says AC is 2AB it suggests that AC is greater than AB

this is definitely false..

Answer:

a.x=39.2

b.Use whole  wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70  units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square=[tex]\frac{perimeter\;of\;square}{4}=\frac{x}{4}[/tex]

Circumference of circle=[tex]2\pi r[/tex]

[tex]70-x=2\pi r[/tex]

[tex]r=\frac{70-x}{2\pi}[/tex]

Combined area of circle and square,A=[tex](\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2[/tex]

Using the formula

Area of circle=[tex]\pi r^2[/tex]

Area of square=[tex](side)^2[/tex]

a.[tex]A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}[/tex]

Differentiate w.r.t x

[tex]\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}[/tex]

[tex]\frac{dA}{dx}=0[/tex]

[tex]\frac{x}{8}+\frac{2x-140}{4\pi}=0[/tex]

[tex]\frac{\pi x+4x-280}{4\pi}=0[/tex]

[tex]\pi x+4x-280=0[/tex]

[tex]x(\pi+4)=280[/tex]

[tex]x=\frac{280}{\pi+4}[/tex]

x=39.2

Again differentiate w.r.t x

[tex]\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}[/tex]>0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used  as a circle . Then, combined area is maximum.

Answer:

The rearranged steps is as follows:

d. procedure last smallest(a1,a2,...,an: integers)

b. min ≔a1 and location ≔1

e. If min >= ai then

c. min ≔ai and location≔i

a. return location

Step-by-step explanation:

The proper steps to perform the task in the question above is dbeca

Here, the procedure (or function) was defined along with necessary parameters

d. procedure last smallest(a1,a2,...,an: integers)

The smallest number is initialized to the first number on the list and its location is initialized to 1

b. min ≔a1 and location ≔1

The next line is an if conditional statement that checks if the current smallest number is greater than a particular number

e. If min >= ai then

If the above condition is true, the smallest value is assigned to variable min; it's location is also assigned to variable location

c. min ≔ai and location≔i

The last step returns the location of the smallest number

a. return location

Answer:

(0,7)

Step-by-step explanation:

28

Step-by-step explanation:

Answer:31

Step-by-step explanation: Since you are trying to find a percentage of a number all you have to do is multiply 242 by 12.9% and because you have to round to the nearest tenth it will be 31