The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of the seventh-graders at a neighboring school, which have variation described by σ = 14.7. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

Answer:

Respiration:

1)Energy giving process. (Cell respiration...)

2) The act of inhaling or exhaling.

Self-pollination:

The transmission of pollen grain from anther to stigma which takes place at a single flower.

Cross-pollination:

The transmission of pollen grain from anther to stigma which takes place between two different flowers of the same species.

Force:

Any push or pull exerted by a body.

Contact Force, Magnetic force, Gravitational force

Kinetic energy and Potential energy.

Kinetic energy:

A kind of energy which an object possesses due to its motion.

Potential energy:

A kind of energy which an object possesses due to its height or position.

Hope this helps ;) ❤❤❤

Answer:

H₀ is accepted, we don´t have evidence to claim valves produces more than 4,1 pounds/square inch

Step-by-step explanation:

Normal Distribution

Population mean   μ₀  = 4.1

Population standard deviation  σ = 0,9

Sample size   n  = 260

Sample mean     μ  =  4,2

Level of significance 0,02       α = 0,02 form z-table we find z score

z(c) = 2,05  (critical value)

Test hypothesis      

Null hypothesis                       H₀            μ  =  μ₀

Alternative hypothesis           Hₐ            μ   >  μ₀

Is a one tail-test ( to the right. Values have a mean over the population mean)

z(s) = (  μ  -  μ₀ )/ σ /√n

z(s) =  4,2 - 4,1 / 0,9/√260

z(s) = 0,1 *16,1245 / 0,9

z(s) =  1,7916

To compare  z(s)   and z(c)

z(s) < z(c)

Then  z(s) is in the acceptance region, we accept H₀

Answer:

see below

Step-by-step explanation:

Company A f(x) = 15(7x)

Company B g(x) = 100x + 5

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  False

f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  True

If Marguerite rents for 1 week, it will cost her the same at either company

A = 105(1) = 105

B = 100(1) +5 = 105   True

If Marguerite rents for 1 week, it will cost her more if she rents from Company A  

A = 105(1) = 105

B = 100(1) +5 = 105    False

h(x) = 5x – 5  

h(x) = f(x) – g(x)

      =15(7x) - ( 100x + 5)

      = 105x - 100x -5

      = 5x-5   True

h(x) = 5x + 5  False

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

If Marguerite rents for 1 week, it will cost her the same at either company.

h(x) = 5x - 5.

Step-by-step explanation:

Company A: f(x) = 15(7x)

Company B: g(x) = 100x + 5

h(x) = f(x) - g(x)

So, the function h(x) is the difference between Company A's rental and Company B's rental.

h(x) = (15(7x)) - (100x + 5)

= (105x) - (100x + 5)

= 105x - 100x - 5

= 5x - 5

h(x) = 5x - 5.

Let's say that Marguerite rents for 1 week. In Company A, that will cost her 15 * 7 = 105. In Company B, it will cost her 100 + 5 = 105. So, if Marguerite rents for 1 week, it will cost her the same at either company.

Let's say that Marguerite rents for 2 weeks. In Company A, that will cost her 15 * 7 * 2 = 30 * 7 = 210. In Company B, it will cost her 100 * 2 + 5 = 200 + 5 = 205. So, if Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

Hope this helps!

Answer:

68

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To solve this problem we use ratio and proportion

For 3 minutes his heart rate was 204 beats

So 1 minute will be

[tex] \frac{204 \: beats}{3} \times 1[/tex]

Hope this helps you

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = [tex]\frac{19}{23}[/tex]

θ = [tex]\text{tan}^{-1}(\frac{19}{23})[/tex]

θ = 39.56

θ ≈ 40°

Hello!

Answer:

Choice 1.

Step-by-step explanation:

We can go through each answer choice and examine whether it represents the question:

1) This does not represent the question because 10% of 6 is 0.6. The question is asking to find a number that 6 = 10% of, not finding 10% of 6.

2) Correct because a number multiplied by 10%, or 0.1, should be equal to 6 to answer the question.

3) Correct because 6 is equivalent to 10% of the answer, which is stated in this answer choice.

4) Correct because 6 should be 10% of the answer.

Therefore, the incorrect choice would be Choice 1.

Answer:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Step-by-step explanation:

As we check the figure, we have a composite figure.

Cuboid on the base and a pyramid on the top of it.

To find the area to be painted, we have 4 rectangular faces of cuboid with dimensions 6m [tex]\times[/tex] 3m.

And 4 triangular faces of pyramid with Base = 6m and Height 5m.

So, total area to be painted = 4 rectangular faces + 4 triangular faces

Area of rectangle = Length [tex]\times[/tex] Width = 6 [tex]\times[/tex] 3 = 18 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}\times Base \times Height =\frac{1}{2}\times 6 \times 5 = 15\ m^{2}[/tex]

Total area to be painted = 4 \times 18 + 4 \times 15 = 72 + 60 = 132 [tex]m^2[/tex]

A) Area painted by 1 can = 6 [tex]m^2[/tex]

Cans required to paint 132 [tex]m^2[/tex] = [tex]\frac{132}{6} = 22\ cans[/tex]

B)

Cost of 1 can = $25.50

Cost of 22 can = $25.50 [tex]\times[/tex] 22 = $561

Including tax of 13% = $561 + $561 [tex]\times \frac{13}{100}[/tex] = $561 + $72.93 = $633.93

So, the answers are:

A) 22 cans required to paint

B) Including 13% tax, cost of painting = $633.93

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

The kite is flying at an altitude of approximately 317.20 feet.

The situation will form a right angle triangle.

The hypotenuse of the triangle is the will be the line of the kite which is 350 ft long.

The line makes an angle of 65° with the horizontal  direction. The horizontal direction is the adjacent of the triangle formed.

Using trigonometric ratio, the altitude of the kite can be found below.

The altitude of the kite is the height/ opposite side of the triangle.

Therefore,

sin 65° = opposite / hypotenuse

sin 65° = opposite / 350

cross multiply

opposite = 350  × sin 65

altitude of the kite = 350 × 0.90630778703

altitude of the kite = 317.207725463

altitude of the kite ≈ 317.20 ft

read more; https://brainly.com/question/13835041?referrer=searchResults

Answer:

B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Step-by-step explanation:

Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth

Answer:

The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

I took the test

Answer:

[tex]f(x) = x + 4[/tex]

Step-by-step explanation:

[tex]y - 8 = x - 4[/tex]

Add 8 to both sides to isolate the y

[tex]y = x - 4 + 8[/tex]

then you're left with y = x + 4

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

Answer:

a) 30%

b) 45%

Step-by-step explanation:

a) Laura rolls it '4' 12/40 times, you need to convert that to a percent, so 12/40=6/20= 30% or 30/100

b) Basically the same thing: 18/40 = 45% or 45/100

Hope this helped XD

Answer:

c=127.279

Step-by-step explanation:

c²=a²+b²

c²=90²+90²

c=√90²+90²

c=127.279 feet

Answer:

option C is the right answer

c) 70 and 60

Answer:  B.  

Four students won 12, 13, 14, 15, 16, or 17 prizes

Answer:

Four students won 12, 13, 14, 15, 16, or 17 prizes!

Step-by-step explanation:

Answer:

( 6, pi/6)

Step-by-step explanation:

( 3 sqrt(3), 3)

To get r we use x^2 + y ^2 = r^2

( 3 sqrt(3) )^2 + 3^2 = r^2

9 *3 +9 = r^2

27+9 = r^2

36 = r^2

Taking the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

Now we need to find theta

tan theta = y/x

tan theta = 3 / 3 sqrt(3)

tan theta = 1/ sqrt(3)

Taking the inverse tan of each side

tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))

theta = pi /6

Answer:

30

Step-by-step explanation:

24 - (-6)

Apply rule : -(-a) = a

Negative (-) times a negative (-) is positive (+).

24 + 6

= 30

Answer:

-6 is in parentheses because it is a negative number. this prevents the equation from looking like a too long subtraction sign (24--6); therefore it is written as 24 - (-6).

this simplifies to 24 + 6 = 30

to negatives = a positive

Answer:

Step-by-step explanation:

Given the following complex values Z₁=2(cos(π/5)+i Sin(πi/5)) And Z₂=8(cos(7π/6)+i Sin(7π/6)). We are to calculate the following complex numbers;

a) Z₁Z₂ = 2(cos(π/5)+i Sin(πi/5)) * 8(cos(7π/6)+i Sin(7π/6))

Z₁Z₂ = 18 {(cos(π/5)+i Sin(π/5))*(cos(7π/6)+i Sin(7π/6)) }

Z₁Z₂ = 18{cos(π/5)cos(7π/6) + icos(π/5)sin(7π/6)+i Sin(π/5)cos(7π/6)+i²Sin(π/5)Sin(7π/6)) }

since i² = -1

Z₁Z₂ = 18{cos(π/5)cos(7π/6) + icos(π/5)sin(7π/6)+i Sin(π/5)cos(7π/6)-Sin(π/5)Sin(7π/6)) }

Z₁Z₂ = 18{cos(π/5)cos(7π/6) -Sin(π/5)Sin(7π/6) + i(cos(π/5)sin(7π/6)+ Sin(π/5)cos(7π/6)) }

From trigonometry identity, cos(A+B) = cosAcosB - sinAsinB and  sin(A+B) = sinAcosB + cosAsinB

The equation becomes

= 18{cos(π/5+7π/6) + isin(π/5+7π/6)) }

= 18{cos((6π+35π)/30) + isin(6π+35π)/30)) }

= 18{cos((41π)/30) + isin(41π)/30)) }

b) z2 value has already been given in polar form and it is equivalent to 8(cos(7pi/6)+i Sin(7pi/6))

c) for z1/z2 = 2(cos(pi/5)+i Sin(pi/5))/8(cos(7pi/6)+i Sin(7pi/6))

let A = pi/5 and B = 7pi/6

z1/z2 = 2(cos(A)+i Sin(A))/8(cos(B)+i Sin(B))

On rationalizing we will have;

= 2(cos(A)+i Sin(A))/8(cos(B)+i Sin(B)) * 8(cos(B)-i Sin(B))/8(cos(B)-i Sin(B))

= 16{cosAcosB-icosAsinB+isinAcosB-sinAsinB}/64{cos²B+sin²B}

= 16{cosAcosB-sinAsinB-i(cosAsinB-sinAcosB)}/64{cos²B+sin²B}

From trigonometry identity; cos²B+sin²B = 1

= 16{cos(A+ B)-i(sin(A+B)}/64

=  16{cos(pi/5+ 7pi/6)-i(sin(pi/5+7pi/6)}/64

= 16{ (cos 41π/30)-isin(41π/30)}/64

Z1/Z2 = (cos 41π/30)-isin(41π/30)/4

Answer:

13. 16(cos(41 π/30)+ isin(41 π/30))

14. Mine asked for z2 magnitude so I got 8 (magnitude is the same as modulus which is r)

15. 1/8 (cos(29 π/30)+ isin(29 π/30))

Step-by-step explanation:

13. Since we’re multiplying z1, and z2, use De Moivre’s theorem by multiplying the r values (2 and 8) and adding the theta values (π/5 and 7π/6). Adding the angle values should lead you to have 41 π/30, and the rest is self-explanatory.

14. Explanation is in the answer, just take the r value from z2 for magnitude (at least that’s what’s on my practice assignment)

15. Use De Moivre’s theorem again, this time with division, so you will divide the r values (2 divided by 8) and subtract the theta values (π/5 minus 7π/6). 2/8 simplifies to 1/8 and when subtracting with 6π/30 - 35π/30 (finding common denominators) you should get 29π/30.

Answer:

Step-by-step explanation:

[tex]a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n[/tex]

Answer:

[tex]\huge\boxed{y=3x+6\to 3x-y=-6}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\===========================[/tex]

[tex]\text{We have the equation of a line in the standard form:}\ 3x-y=11.\\\text{Convert it to the slope-intercept form:}\ y=mx+b\\\\3x-y=11\qquad\text{subtract}\ 3x\ \text{from both sides}\\-y=-3x+11\qquad\text{change the signs}\\y=3x-11\to \boxed{m_1=3}\\\\\text{Let}\ k:y=3x-11\ \text{and}\ l:y=mx+b.\\\\l\ ||\ k\Rightarrow l:y=3x+b\\\\\text{Substitute the coordinates of the point}\ (-2;\ 0)\ \text{to the equation of}\ l:\\\\0=3(-2)+b\\0=-6+b\qquad\text{add 6 to both sides}\\6=b\to\boxed{b=6}[/tex]

[tex]\text{Finally}\ l:y=3x+6\\\\\text{Convert to the standard form:}\\\\y=3x+6\qquad\text{subtract}\ 3x\ \text{from both sides}\\-3x+y=6\qquad\text{change the signs}\\l:\ 3x-y=-6[/tex]

Answer:

$16,750.00

Step-by-step explanation:

Simple interest:

I = Prt

Value of an investment of value P over t years at r interest rate:

F = P + Prt

F = P(1 + rt)

19,513.75 = P(1 + 0.03 * 5.5)

1.165P = 19,513.75

P = 16,750

Answer: $16,750.00

The present value of the investment was $16,750 which is worth $19,513.75 after earning 3% simple interest for 512 years.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as:

Rate of Interest (R) = 3% = 3/100 = 0.03

Time (T) = 512  years

Value of an investment of value P over t years at r interest rate:

A = P + Prt

A = P(1 + rt)

19,513.75 = P(1 + 0.03 × 5.5)

19,513.75 = 1.165P

1.165P = 19,513.75

P = 19,513.75/1.165

P = 16,750

Thus, the present value of the investment was $16,750 which is worth $19,513.75 after earning 3% simple interest for 512 years.

Learn more about the simple interest here:

brainly.com/question/22621039

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Steps to solve:

1 = -4 + 3/8x

~Add 4 to both sides

1 + 4 = -4 + 4 + 3/8x

~Simplify

5 = 3/8x

~Multiply 8/3 to both sides

5 * 8/3 = 3/8x * 8/3

~Simplify

13 1/3 = x

As we look through the answer choices, we can see that none resembles any of the steps I did above but by looking at the answers for each one, the only logical answer is B since it has a final answer of x = 40/3 or 13 1/3.

Best of Luck!

Answer:

30

Step-by-step explanation:

We can call the number of boys 4x and girls 6x so we can write:

4x + 6x = 50

10x = 50

x = 5, therefore the number of girls is 6x = 6 * 5 = 30.

Answer:

30

Step-by-step explanation:

In the ratio 4:6, we can think of this like 4 boys and 6 girls out of 10 team members.

We can find how many girls play by multiplying 6 by 5, since 50 divided by 10 is 5.

6(5) = 30, so 30 girls play in the soccer league.

Answer: a. .7

Step-by-step explanation:

Multicollinearity means the two or more explanatory variables in a multiple regression model are highly linearly related to each other.

Multicollinearity is a problem because

Multicollinearity may cause problems if the absolute value of the sample correlation coefficient for two of the independent variables exceeds 0.7.

So, the correct option is a. .7 .

Answer:

-8=x

Step-by-step explanation:

6x-6=9x+18

-6-18=9x-6x

-24=3x

x=-8

hope i helped

brainliest pls

im trying to level up

Answer:

x=-8

Step-by-step explanation:

Answer:

2007

Step-by-step explanation:

If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.

Answer:

2007

NOT YOU TRYING TO GET THE AOPS PREALGEBRA 2 ANSWER

I stan though :D

Answer:

Since it is a right triangle, you can use pythagorean theorem to find the missing side.

Step-by-step explanation:

Answer:

Hey there!

Opposite angles in a parallelogram must be congruent, so T=R.

Hope this helps :)

Answer:

∠T ≅ ∠R

Step-by-step explanation:

We know that the angles are equal because they are opposite sides in the parallelogram.

Answer:

Winning odd = 3.4

Loosing odd = 4.3.

Step-by-step explanation:

So, from this particular Question or problem we have the following data or information or parameters which is going to aid or help us in solving this particular Question;

=> Given 6 of hearts and the 8 of diamonds.

We know that there are 8 types of cards.

Also, we know that the total number of the cards is equal to fifty-two(52).

From cards of six(6) to ten(10) a bust will surely occur.

Therefore, 8 × 4 / 52= 32/52 = 0.62.

If an ace is pulled, then the chance of winning bis surely 4 out of 52 deck of cards.

Giving you a Winning odd = 3.4 and a

Loosing odd = 4.3.