Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.

She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.

Answer:1.A 2.C 3.A 4.B

Step-by-step explanation:

1. (answer) a- 257 grams.

2. (answer) c. 1.18 kilometers.

3. (answer) b. 56.

4. (answer) a. 14 7/8 pounds.

Answer:

The answer is all of them except the last one so... A,B,C,D,E.

Step-by-step explanation:

To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root. Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0.

Answer:

A,B,C,D,and E

Step-by-step explanation:

Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

Answer:

8. -⅓ cos³x + C

9. sec x + eˣ + C

Step-by-step explanation:

8. ∫ sin x cos²x dx

If u = cos x, then du = -sin x dx.

∫ -u² du

-⅓ u³ + C

-⅓ cos³x + C

9. ∫ (sec x tan x + eˣ) dx

∫ sec x tan x dx + ∫ eˣ dx

These are both standard integrals:

sec x + eˣ + C

Question 8:

∫sinxcos²xdx

∫-u²du (let u = cos(x))

-∫u²du

-u(^2+1)/2+1

-cos^(2+1)(x)/2+1

-1/3cos³(x)

-1/3cos³(x) + C

Question 9:

∫(secxtanx + eˣ)dx

∫sec(x)tan(x)dx + ∫eˣdx (apply sum rule)

sec(x) + eˣ (sec(x)tan(x)dx = sec(x) and eˣdx = eˣ)

sec(x) + eˣ + C

Best of Luck!

Answer:

27,000

Step-by-step explanation:

$450,000 x 0.06= $27,000

0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.

Answer:

See explanation

Step-by-step explanation:

[tex]6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}[/tex]

Answer:

The equation for the height of the penny in function of time is:

[tex]h(t)=1451-16t^2[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

Step-by-step explanation:

The penny will have a free fall.

The initial velocity is zero, and the initial height is h(0)=1,451.

The acceleration will be the gravity, that has a value g=32 ft/s^2.

Then, we can model this starting by the speed:

[tex]dv/dt=-g\\\\v(t)=v_0-gt=-gt[/tex]

Then, the height becomes:

[tex]dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2[/tex]

The approximate height of the penny after 7 seconds can be calculated as:

[tex]h(7)=1451-16(7^2)=1451-16*49=1451-784=667[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

23x^6=()+(3x^6)=

We move all terms to the left:

23x^6-(()+(3x^6))=0

The value of the unknown in the algebraic equation is 120.

Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.

An algebraic equation is an equation containing an algebraic term in it.

From the given question,

Let the blank  be represented by x,

23 * 6 = x + (3 *6)

Multiply the numbers on the left side of the equation.

138 = x + (3 *6)

Multiply the expression inside bracket.

138 = x + 18

Solve the equation for x.

x = 138 - 18

x = 120

Learn more on algebra on:

brainly.com/4344214

#SPJ6

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that [tex]P(B) = 0.1[/tex]

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that [tex]P(A|B) = 0.995[/tex]

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]

93.25% probability that they have taken this steroid

Answer:  $0.16

Step-by-step explanation:

Hi, to answer this question we simply have to divide the variable cost ($1,972.50) by the number of miles driven (the variable; 12,000 miles)

Mathematically speaking:

1,972.50 /12000 = 0.16

The cost per mile for Omar to operate his vehicle last year was $0.16

Feel free to ask for more if needed or if you did not understand something.

Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.

Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.

As per the question, we have

cost = $14.25

markup rate = 35% = 0.35

Let's x represent markup for the book,

markup rate = markup/sale price × 100%

35% = x / $14.25

0.35 = x / $14.25

x = $14.25 × 0.35

Apply the multiplication operation, and we get

x = 4.9875

So sale price = markup + cost

So sale price = $4.9875 + $14.25

So sale price = $19.237

Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

To learn about the markup rate click here:

brainly.com/question/11999225

#SPJ2

Answer:.....

Step-by-step explanation:

......

Answer:

Part A:  8x + 24

Part B:  Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.

Step-by-step explanation:

For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.

Hope this helped! :)

Answer:

5 different ways

Step-by-step explanation:

for the 8

2 and 6

3 and 5

4 and 4

for then tens

5 and 5

4 and 6

Answer:

on what

Step-by-step explanation: normaly you have a button that you can have certain characters

Answer:

Step-by-step explanation:

Since each tank is cylindrical, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the height of the cylinder.

h represents the height of the cylinder.

π = 3.14

From the information given,

Height = 1.9

Diameter = 1.4

Radius = diameter/2 = 1.4/2 = 0.7

Total surface area = 2 × 3.14 × 0.7² + 2 × 3.14 × 0.7 × 1.9 = 3.0772 + 8.3524 = 11.4296 m²

Total surface area of the 3 cylinders = 11.4296 × 3 = 34.29 m²

Since a tin of paint covers 5 m², the number of tins paints that Tim will need to buy is

34.29/5 = 6.858

Since the tins of paint must be whole numbers, he needs to buy 7 tins of paints.

Answer:

a. Manua Loa

Step-by-step explanation:

brainliest really needed!!

Answer:

A is your answer

Step-by-step explanation:

Answer:

the x intercept is 2

Step-by-step explanation:

I just went over this unit

Answer:

2

Step-by-step explanation:

Answer:

a) so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is 0.5

Step-by-step explanation:

With the previous data we know that 3 methods teach an industrial skill and when putting into practice a worker does not learn, we have the failure rates like this:

method A fails 15%

method B fails: 5%

method C fails: 10%

usage percentages:

A: 30%

B: 40%

C: 30%

a) the probability that method A has been taught is as follows:

P (failure rate) = P (A) * P (failure rate A) + P (B) * P (failure rate B) + P (C) * P (failure rate C)

we replace the data obtaining:

P = 0.3 * 0.15 + 0.4 * 0.05 + 0.3 * 0.1 = 0.095

P ( failure rate A) = P (A) * P (failure rate A) / P (failure rate)

we replace the data obtaining:

 0.3 * 0.15 / 0.095 = 0.4737

so the correct answer is that the probability that method A has been taught is 0.4737

b) the probability that B receives A is as follows:

P (B | A) = P (B) = 0.50

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

Answer:

About $2530.63

Step-by-step explanation:

The formula for this kind of calculation is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where P is the initial investment, r is the interest rate, n is the number of times you compound your investment per year, and t is the number of years. Assuming that you compound yearly, plugging in the numbers that you have given, you are left with:

[tex]2000=P(1+\frac{0.04}{1})^{t}[/tex]

[tex]2000=P\cdot (1.04)^5\\P\approx 1643.85\\A=1643.85 \cdot (1.04)^{11}\approx $2530.63[/tex]

Hope this helps!

Answer:

Parallel, since [tex]\vec u = 2\cdot \vec v[/tex].

Step-by-step explanation:

The relation between both vectors is determined by the use of the dot product, whose expression is:

[tex]\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}[/tex]

Where:

[tex]\cos \theta = 1[/tex] if vectors are parallel to each other and [tex]\cos \theta = 0[/tex] if vectors are orthogonal. Then, norms and dot product are calculated hereafter:

[tex]\|\vec u\| = \sqrt{18^{2}+8^{2}}[/tex]

[tex]\|\vec u\| \approx 19.698[/tex]

[tex]\|\vec v \| = \sqrt{9^{2}+4^{2}}[/tex]

[tex]\|\vec v\| \approx 9.849[/tex]

[tex]\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)[/tex]

[tex]\vec u \bullet \vec v = 194[/tex]

[tex]\cos \theta = \frac{194}{(19.698)\cdot (9.849)}[/tex]

[tex]\cos \theta = 1[/tex]

The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,

[tex]18i + 8j = 2\cdot (9i + 4j)[/tex]

[tex]\vec u = 2\cdot \vec v[/tex]

Answer:

3.74% probability that her baby has T18

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: The baby having T18.

T18 occurs in only 1 in 2500 pregnancies in the U.S.

This means that [tex]P(B) = \frac{1}{2500} = 0.0004[/tex]

The probability of a positive test result for a baby with T18 is 0.97.

This means that [tex]P(A|B) = 0.97[/tex]

The overall probability of a positive test result is 0.010384.

This means that [tex]P(A) = 0.010384[/tex]

What is the probability that her baby has T18

[tex]P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374[/tex]

3.74% probability that her baby has T18

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get

[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]

Answer:

300

Step-by-step explanation:

hundreds  tens  ones

2                   9      9

We look at the tens

It is 5 or higher so we round up the hundreds place

2 becomes 3

300

Answer:

300

Step-by-step explanation:

its obv 300 because 299 is greater than 249 and if it is less than 249 it is rounded to 200.

Answer:

A= [tex]\pi[/tex]r²

Step-by-step explanation:

the area of a circle

Answer: (x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25

Answer:

(x-1)² + (y-2)² = 6.25

Step-by-step explanation:

Answer:

8u+9v

Step-by-step explanation:

Answer:

8u+9v

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

All we need to do here is plug in the number 4 for the variable x. Wherever there's an x, kidnap it and replace it with a 4!

[tex]\frac{x + 20}{x + 4}[/tex]

x = 4

[tex]\frac{4 + 20}{4 + 4}[/tex]

Do the addition.

4 + 20 = 24

4 + 4 = 8

[tex]\frac{24}{8}[/tex]

We can simplify this! What is 24 divided by 8?

24/8 = 3

The answer is 3!