For an independent-measures experiment comparing two treatment conditions with a sample of n = 10 in each treatment, the F-ratio would have df equal to ________.A. 1,18B. 18C. 1,19D. 19

Answer:

A=(-2,-2) B=(-2,-6) D=-5,-2 C=(-5,-6)

Step-by-step explanation:

Properties of Exponential Function for Roots.

\(a^{\frac{m}{n}}=\sqrt[n]{a^m}\)

The first one is wrong as 4^1/2 would equal √4 = 2

The second choice is correct.

The third choice is correct because ∛8 = 2 and √4 also = 2

The fourth choice is wrong because √8 = 2√2

The fifth choice is also wrong because 2^1/2 would be √2 while √32 is 2^5

The sixth choice is 3^3/2 which would equal √27 = 3√3 which is correct.

Answer:

y=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x - 2y = -52

7(-8) - 2y = -52

-56 - 2y = -52

-2y = 4

y = -2

Best of Luck!

Step-by-step explanation:

-4x – 2y= -18

Add 2y to both sides

-4x- 2y+ 2y = -18 + 2y

Simplify

-4x = -18 + 2y

Divide both sides by -4

-4x/-4= -18/-4+ 2y/-4

simplify

x= - -9+y/2

Answer:

7 out of 8

Step-by-step explanation:

heads gets tossed and there's only 6 numbers to choose from on the die

Answer:    =0.375

Step-by-step explanation:

Actually we have to find the probability that both events will happened.

1st event the coin will be turned by a head P(head).

2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)

Both events  do not depend from each other. So the resulted probability

can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)

P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.

P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.

P(a>2)=6/8=3/4=0.75

P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

Step-by-step explanation:

\(\sqrt{2x+1} = -4 -1\)

\(\sqrt{2x-1} = -5\)

the number under a square root is always 0 or a positive number, so it can’t be equal to a negative number

Answer:

To find the average speed of the truck, we can divide the total distance travelled by the total time taken.

Average speed = Total distance / Total time

In this case, the truck travelled 261 miles in 4 hours.

Average speed = 261 miles / 4 hours

Average speed = 65.25 mph (rounded to two decimal places)

Therefore, the truck was averaging approximately 65 mph on this trip.

The correct option is (a) 65 mph.

Answer:

slope of given points are;(y2-y1)÷(x2-x1)

=(-1-3)÷(-8+2)

= -4÷-6

=2/3

Answer:

The area of 1 slice is of 19 square inches.

Step-by-step explanation:

Area of a circle:

The area of a circle of radius r is given by:

\(A = \pi r^2\)

A large pizza has a radius of 7 in.

So its area of the pizza, in square inches, is of:

\(A = \pi(7)^2 = 49\pi = 49*3.14 = 153.86\)

The pizza is cut into 8 slices of equal size. What is the area of 1 slice, rounded to the nearest whole number?

Area of the pizza divided by 8. So

153.86/8 = 19.2

Rounding to the nearest whole number, the area of 1 slice is of 19 square inches.

Equation1: y = 3x

Equation 2: x = -2y + 70

To solve this system, we will use the value of x of the second equation into the fist equation:

y = 3x = 3(-2y + 70) = -6y + 210

y = -6y + 210

y + 6y = 210

7y = 210

y = 210/7 = 30

y = 30

Now, we will tusethe value of y into the second equation to find the value of x:

x = -2y + 70 = -2(30)+80 = -60 + 70 = 10

x = 10

Answer:

x = 10

y = 30

If two parallel lines are crossed by a transversal, the value of x is option (b) x = 70 degrees

When two parallel lines are intersected by a transversal, eight angles are formed. Two of these angles are vertical angles, which are opposite angles that share the same vertex and are formed by the intersection of two lines.

Vertical angles are always congruent, meaning they have the same measure. This is a geometric property that is true regardless of the angle's degree measurement.

In this problem, one of the vertical angles is given to be 70 degrees. Therefore, the other vertical angle must also have a measure of 70 degrees. This means that the value of x, which is the measure of one of the vertical angles, is also 70 degrees.

So, correct option is (b) x = 70 degrees.

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The given question is incomplete, the complete question is:

Two parallel lines are crossed by a transversal. What is the value of x? a) x = 40 b) x = 70 c) x = 110 d) x = 130.

Answer:

40

Step-by-step explanation:

(34 + 43 + 45 + 35)/4 = 39.25

To the nearest 10th = 40

1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.

2. The difference in the distance of Neptune from the sun than Mars will be

3. The greatest distance between Earth and Uranus is Uranus.

4. The greatest distance between Venus and Saturn is Saturn

From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:

= 5.203 - 0.387

= 4.816

The difference in the distance of Jupiter from the sun than Mars will be:

= 30.07 - 1.524

= 28.546

The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.

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Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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Answer:

D

Step-by-step explanation:

8×16=128

2×4=8

128+8=136m^2

answer: D

Answer:

80.07 in^2

Step-by-step explanation:

The equation is given: SA = 2πrh

h (height) = 8.5

r (radius is half the diameter) = 3 / 2 = 1.5

SA = 2π (1.5) (8.5) =  80.07

Answer:

0.063 is the probability of at least 31 students.

Step-by-step explanation:

Solution:

Given:

The age distribution of students  is given below:

Age (years) Number of students

Under  21                    414

21 - 25                         413

26 - 30                        212

31 - 35                        50

0ver 35                     20

total                         1109

A student from community college is selected at random.

The ratio  of favorable outcomes numbers of that event is the probability of  to the total number of possible outcomes in experiment.

Probability of at least 31 students:

Probability of At least 31 students = 31 or more than 31 students

P( 31 – 35) = n (31 – 35) + n (over 35) / n(T)

= 50 + 20 / 1109

= 70 / 1109

= 0.063

0.063 is the probability of at least 31 students.

Answer:

(x+5)+(x-10)+(x-75)+125=360

3x+45=360

3x=315

x=105

Answer:

I cant see the answers to help you.

Step-by-step explanation:

Answer: C) $83.25

Step-by-step explanation: First you multiply 124 by whatever amount equivocates to 10,323 then multiply 1 by that same amount and you get the answer, 124 x 83.25 = 10,323, and 1 x 83.25 = 83.25

Answer:

s(t) = 160/3  ( 1 - e^(-3t / 200) )

Step-by-step explanation:

volume of pure water in tank  = 1000 L

Brine contains 0.04kg of salt/L

Inflow rate of Brine containing 0.04kg of salt/L = 5L/min

Brine containing 0.06 kg of salt/L

Inflow rate of Brine containing 0.06 kg of salt/L = 10L/min

Solution is thoroughly mixed and drains from tank at 15L/min

a) Determine the amount of salt is in the tank after t minutes

rate of salt entering = 0.2 + 0.6 = 0.8 kg/min

rate of salt leaving = s/1000 * 15

amount of salt at time (t) = s(t)

initial condition s( 0 ) = 0

ds/dt = 0.8 - 15s/1000 = 0.8 - 3s/200

200 ds/dt = ( 160 - 3s )

-200/3  In ( 160 - 3s ) = t + c

Given that ;  t = 0 , s = 0    

c =  - 200/3  In ( 160 )

∴  -200/3  In ( 160 - 3s ) = t - 200/3  In ( 160 )

- 200/3  [ In ( 60 - 3s ) - In ( 160 ) ] = t

therefore:  

In ( 160 - 3s / 160 ) = -3t/200

= ( 160 - 3s / 160 ) = e ^ (-3t/200 )

Hence amount of salt in tank after t minutes

s(t) = 160/3  ( 1 - e^(-3t / 200) )

The formula for L is L = S - πr².

To solve the formula S = L + πr² for L, we need to isolate L on one side of the equation.

Given: S = L + πr²

Subtracting πr² from both sides, we have:

S - πr² = L

Now, let's break down the steps:

Start with the given formula: S = L + πr²

Subtract πr² from both sides to isolate L: S - πr² = L

By subtracting πr² from both sides, we remove it from the right side of the equation, leaving L alone.

Thus, the formula for L is L = S - πr².

This equation allows us to calculate the length of the slant height (L) of a cone when we know the surface area (S) and the radius (r). Simply substitute the given values for S and r into the equation to find the value of L.

It's important to note that in the formula S = L + πr², S represents the surface area of the cone, L represents the slant height, and r represents the radius of the base.

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