Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft

The little square means a right angle which is equal to 90 degrees.

X + 30 = 90

X = 60 degrees

Answer:

I'm sorry I don't know wish I could help you out

The cost of a washer is $1184 while the cost of a drier is $296

Given Data

Hence,

w+d = 1184 -------------1

we know that the cost of the washer is three times the cost of the dryer.

w = 3d -------------------2

put w = 3d in equation 1

3d + d = 1184

4d = 1184

d = 1184/4

d = 296

The cost of a drier is $296

put d = $296 in equation 2

w = 3*296

w = $888

Check:

$888+$296 = $1184

Learn more about word problem here:

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Answer:

79

Step-by-step explanation:

90-11=79

Answer:

79

Step-by-step explanation:

To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.

Answer:

r={21}

Step by Step Explanation:

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

Answer:

5 and 6

Step-by-step explanation:

let the 2 numbers be x and y , then

3x + 2y = 28 → (1)

2x + 3y = 27 → (2)

multiplying (1) by 2 and (2) by - 3 and adding will eliminate x

6x + 4y = 56 → (3)

- 6x - 9y = - 81 → (4)

add (3) and (4) term by term to eliminate x

0 - 5y = - 25

- 5y = - 25 ( divide both sides by - 5 )

y = 5

substitute y = 5 into either of the 2 equations and solve for x

substituting into (1)

3x + 2(5) = 28

3x + 10 = 28 ( subtract 10 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

The 2 numbers are 6 and 5

Answer:

16.79 - 8.54= ? so the answer is 8.25

Step-by-step explanation:

~Hope this helps you~

This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.

Answer:

3 eggs constitutes 1/4 of the original 12 eggs

Step-by-step explanation:

Divide "12 eggs" by "4 people," obtaining 3 eggs/person.

3 eggs constitutes 1/4 of the original 12 eggs.

Answer: So, to find velocity we take the first derivative of the equation.

just in case you do not know how to take a derivative or a polynomial

the derivative of axn  = naxn-1  where a is a coefficient and n is the exponent.

s' = 3t2 - 24t +36 this is your velocity in time t.

to solve for your velocity at t = 3 seconds we will plug 3 seconds into any t in the velocity equation.

s' = v this is just stating that s' is equal to your velocity

v = 3(3)2 - 24(3) + 36

v = 27 - 72 + 36

v = -9 m/s

to find when the particle is at rest we must consider the at rest velocity which is 0. An object at rest has no velocity(only applies to Newtonian mechanics)

so, we will change v to 0 and solve for t

0 = 3t2 - 24t + 36

to solve this we need to factor to quadratic equation.

to solve this we first will factor out 3 from the equation.

0 = 3(t2 - 8t + 12)

now we can factor. we need two numbers that when multiplied together give 12 but when added give -8. since the addition is negative and the multiplication is positive we know that we are dealing with two negative integers.

we end up with

0 = (t-2)(t-6)   the three was divided on both sides to eliminate it from the equation.

so, the particle is at 0 at t = 2 seconds and t = 6 seconds.

Now, just because the particle has 0 velocity does not mean it has no acceleration. However, I do not believe the acceleration is important for this problem.

To find when the particle is moving forward you must consider again when it is at 0. When it is at 0 a speed change is happening. So, to find out if velocity is positive or negative we will test a number before 2 after 2 but before 6 and after 6.

So, we can start with t = 0 for the before 2 number

v = 3(0) - 24(0) + 36

we get v = 36 which is positive. So, the particle was moving forward before 2 seconds.

now we have already used 3 seconds and we got a negative velocity. So, the particle is moving backwards at t = 3 seconds.

So the last one to check is after 6 seconds. We will choose 10 for this one because it is easy to multiply with.

v = 300 - 120 + 36 = a positive number. You do not actually need to know what number as long as you know it is positive. That means the particle was moving forward after 6 seconds.

to find the total distance traveled we must break up the distance equation by direction of travel. So, we must take the distance traveled by the particle in pieces using the original equation.

s = t3 -12t2 + 36t

first we will solve for the distance traveled in 2 seconds.

s = 8 - 48 + 72 = 32 meters

Now we will solve for 6 seconds and figure out the distance traveled from 32 meters in the opposite direction. Then we will add the two numbers together.

s =216 - 432 + 192 = -24 meters

To find the distance travelled between 2 and 6 seconds we add the absolute value of the values together.

We end up with distance traveled between 2 and 6 seconds was

56 meters

we then add this to the original 24 meters to get the distance traveled from 0 to 6 seconds of

88 meters

then we solve for the distance at 8 seconds

s = 512 - 768 + 288 = 32 meters

so, again we add the absolute values of the previous time interval with the one we just calculated for.

24 + 32 = 56 meters. So, the particle traveled back up at this point.

We add the new 56 with the current total of 88 meters to get

total distance traveled  = 144 meters

this shows us that the particle is moving in a wave pattern from 0 to 8 seconds. So, if you were to draw a graph you would have a particle start at s = 0 and t = 0, then the particle would move much like the graph of sine instead of stopping at 1 it would stop at s = 32 then drop down to s = -24 and rise up continuously after that.

Step-by-step explanation:

Answer:2 11/12

Step-by-step explanation:

7/12+28/12= 35/12= 2 11/12

28/12=7/3 btw

2 4/12+7/12=2 11/12

Answer:

Ok the answer is going to be 35/12

try that I hope I helped you

Step-by-step explanation:

Answer:

95 m

Step-by-step explanation:

you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m

hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.

looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards[/tex]

Answer:

lol same but that's okay we can all for sure get better at it :)

Step-by-step explanation:

the equation can not be factored ^

In the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

Length of a line segment is the distance of both the ends of it.

The length of the line segment TU is 6 units.

[tex]TU=6\rm\; units[/tex]

In the figure attached below, the length of line segment RT is 12 and RS is 24. Thus, the value of RS is double than the value of RT.

[tex]RT=2RS\\RS=\dfrac{RT}{2}[/tex]

RS is the total length of the segment, which is equal to the length of RT and ST.

[tex]RT+ST=24\\12+(SU+UT)=24\\(SU+UT)=24-12\\SU+UT=12[/tex]

12 is the length of RT. Thus,

[tex]SU+UT=RT[/tex]

Hence, in the provided figure of line segment RS, the statement which is true is su + ut = rt. Option A is correct.

Learn more about the line segment here;

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#SPJ1

Answer:4. 7, 4 , -3.5, -5

Step-by-step explanation: place on number line and read from right to left

By using the given domain and range, we will see that the false statements are:

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

If you want to learn more about functions, you can read:

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Answer:

c. (1, -7).

Step-by-step explanation:

Substitute the given values to see which set fits:

y = -11x + 4

Try (0, -7):

-11(0) + 4  = 4 . Not this one as we are looking for the result -7.

Try (-1, -7):

-11(-1) + 4  = 11+4 = 15.   Not this one as we are looking for the result -7.

Try (1, -7):

-11(1) + 4  = -11+4 = -7.  This is correct.  

Answer:  (2x - 3)(x + 8)

Step-by-step explanation:

2x² + 13x - 24 = 0, where is equal ax² + bx + c = 0 form. We get a = 2, b = 13, c = -24.

When a is not equal to 1, we multiply a and c. ac = 2(-24) = -48.

b in the equations means that the sum of two factor of ac is equal to 13. Then we need to find which two factor is add up to 13. In this case, we get -3 and 16.

2x² + 13x - 24 = 0

2x² + 16x - 3x - 24 = 0

2x(x + 8) - 3(x + 8) = 0

(2x - 3)(x + 8) = 0

Answer: x = -8, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

       This is a quadratic equation since it is in ax² + bx + c = 0 form! We will use the formula and use PEMDAS, the order of operations, while solving as well.

       The quadradic formula, then plugging in to solve:

(please note before the square root is a ± sign. Brainly text editor will not allow me to add it)

[tex]x = \frac{-b\sqrt{b^{2} -4ac } }{2a}[/tex]

[tex]x = \frac{-13\sqrt{13^{2} -4(2)(-24) } }{2(2)}[/tex]

[tex]x = \frac{-13\sqrt{169 -4(2)(-24) } }{4}[/tex]

[tex]x = \frac{-13\sqrt{169 +192 } }{4}[/tex]

[tex]x = \frac{-13\sqrt{361 } }{4}[/tex]

Now it breaks into two parts:

[tex]x = \frac{-13-19}{4}[/tex]       and       [tex]x = \frac{-13+19}{4}[/tex]

[tex]x = \frac{-32 }{4}[/tex]                  [tex]x = \frac{6}{4}[/tex]

x = -8, x = [tex]\frac{3}{2}[/tex]

Answer:

The answer is - A. 1 in. : 3.6 ft.

Step-by-step explanation:

In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:

scale: 21.6/6

scale: 3.6

So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.

(I hope I helped you)

Answer:

Pretty sure its 60

Step-by-step explanation:

Basic geometry

can you maybe write down the questions on my comment in here?

Answer:

205.25072

Step-by-step explanation:

1. A(sector)=x/360πr^2

2. A(sector)=120/360π(14^2)

3. A(sector)=1/3π(196)

4. A(sector)=205.25072

5. Round as necessary

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

[tex]\boxed{Volume=\pi r^{2}h}[/tex]

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   [tex]h =\dfrac{825.192}{3.14*6*6}[/tex]

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

To find :-

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

Answer: A

Step-by-step explanation:

365/10 is the best way to figure it out

Answer:

A. 365÷10 = 365/10 = 36 5/10=36 1/2 pages

Explanation:

Here:

Rate:

365 ÷ 10 = 365/10 = 36 1/2 pages per day

Answer:

1/3

Step-by-step explanation:

Check the attachment.

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

Answer:

I would say likely.

Step-by-step explanation:

I hope this helps.

what's the question? Cause the pic doesn't make it clear on what we need to solve.