A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score

Answers

Answer 1

Complete question :

A clinical psychologist has developed a new measure for assessing alcohol abuse. In a normal (non-clinical) sample, he found that his measure had a mean equal to 85 and a standard deviation equal to 15. Identify the score 25th, 75th, 95th

Answer:

1.) 25th percentile = 74.95

2.) 75th percentile = 95.05

3.) 95th percentile = 109.75

Step-by-step explanation:

Given that :

Mean (m) = 85

Standard deviation (s) = 15

The Zscore, corresponding to the percentiles given:

25th percentile score corresponds to a Zscore of - 0.67

Recall the relation:

Zscore = (x - m) / sd

x = score; m = mean = 85 ; sd = standard deviation = 15

-0.67 = (x - 85) / 15

15 * - 0.67 = x - 85

-10.05 = x - 85

x = 74.95

2.) 75th percentile ; Zscore = 0.67

0.67 = (x - 85) / 15

15 * 0.67 = x - 85

10.05 = x - 85

x = 10.05 + 85

x = 95.05

3.) 95th percentile ; Zscore = 1.65

1.65 = (x - 85) / 15

15 * 1.65 = x - 85

24.75 = x - 85

x = 24.75 + 85

x = 109.75


Related Questions

Apply the distributive property to Factor
and the greatest common Factor 44+48

Answers

The greatest common factor is 4(11+6)

Select the correct answer.

A recent survey reported that 9.7% of Virginia's population worked in the construction industry. Which is equivalent to 9.7%?



Question 8 options:

970


97


0.97


0.097

Answers

Answer:

0.097

Step-by-step explanation:

3/15 divided by 5/6

7 divided by 1/6

2 1/5 divided by 1 1/3

2 1/7 divided by 3/28

Answers

Answer:

0.2400000096

1.16666666667

1.92307692308

0.02551020238

Step-by-step explanation:

hope this helps :)

3/15 divided by 5/6: 6/25

7 divided by 1/6: 21/50

2 1/5 divided by 1 1/3: 21/50

2 1/7 divided by 3/28: 20

Hope this helps!

Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip

Answers

Answer:

516

Step-by-step explanation:

add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total

(1) Kareem pumped 28 gallons of water in her pool.This was done over a period of 4 minutes at a constant rate. What was the change in the amount of water in the pool each minute?

Answers

Answer:

7 Gallons of water get pumped into the pool every minute.

Step-by-step explanation:

28 Divided by 4= 7 so it is 7 gallons per min.

In one problem, he gave her a store receipt that listed 72 identical items, each the

same price, for a total cost of

$ * 67.9*

Bryn's Grandpa covered the first and last digits of the total price on the receipt

with stars.

Determine the values of the digits that Bryn's Grandpa covered.

Answers

Answer:

The first covered digit = x = 3

The last covered digit = y = 2

The total price on the receipt = $367.92

Step-by-step explanation:

Given data:

total cost = $ * 67.9*

First we check for the multiples of 72

9 × 8 = 72

Let

the first covered digit be denoted by x

the last covered digit be denoted by y

Solution

First we find the last covered digit

If a number should be divisible by 8,

It must be a multiple of 8

From the given price:

The last 3 digits = 79*

number in multiples of 8

7.9* = 7.20 + 0.64+ 0.08

7.9* = 7.92

Therefore, the last two digit is 2.

Next We find the first covered digit.

If a number is divisible by 9, it is a multiple of 9

The first digit = x  would be determined as:

= x + 6 + 7 + 9 + 2

= x + 24

= x + 24

multiple of 9 nearer to 24 = 27

27 = x + 24

x = 27 - 24

x = 3.

which expression is equivalent to the following complex fraction?

(pls help me out)​

Answers

Answer:

B. [tex] \frac{-4x + 7}{2(x - 2)} [/tex]

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

[tex] \frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}} [/tex]

[tex] \frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}} [/tex]

[tex] \frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}} [/tex]

[tex] \frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}} [/tex]

[tex] \frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}} [/tex]

[tex] \frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4} [/tex]

(x - 1) cancels (x - 1)

[tex] \frac{-4x + 7}{1} * \frac{1}{2x - 4} [/tex]

[tex] \frac{(-4x + 7)1}{1(2x - 4)} [/tex]

[tex] \frac{-4x + 7}{2x - 4} [/tex]

[tex] \frac{-4x + 7}{2(x - 2)} [/tex]

(8,3) (5,6) what is slope??

Answers

Answer:

-1

Step-by-step explanation:

What is 27 5/6 - 2/7?

Answers

Your answer would be 27 23/42

Answer:

my calculator says 1159/35

Step-by-step explanation:

1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit

into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and

dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.

(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)

Part II: How much will Darla deposit into her savings account?

U.S.)

Answers

Answer:

The number of coins is missing, so I looked for a similar question:

Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters

Darla can make:

9 rolls of pennies (worth $4.50)

7 rolls of nickels (worth $14)

8 rolls of dimes (worth $40)

6 rolls of quarters (worth $60)

total amount of money = $118.50

Write the number in
standard form
6 tens+7=

Answers

6 x 10 + 7 = 67.

When the refer to tens, they’re meaning (said number) x 10.

Answer:

67

Step-by-step explanation:

Solve for x. 3(2x - 3) + 3 = 24

Answers

Hey :)

x= 5

First use distributive property to multiply 3 with 2x and 3 with -3
6x-9 + 3 = 24

Find like terms, which are -9 and 3
6x-6 = 24

Take the -6 to the other side, now it’s positive
6x = 24+6

Now add them together
6x= 30

Now take 6 to the other side, it becomes division
x = 30/6
x = 5

Hope this helps!

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = 5}}}}[/tex]

Step-by-step explanation:

[tex] \text{3(2x - 3) + 3 = 24}[/tex]

[tex] \text{Step \: 1 \: : \: Distribute \: 3 \: through \: the \: parentheses\: }[/tex]

[tex] \text{ ➳\: 3 * \: 2x - 3 * 3 + 3 = 24}[/tex]

[tex] \text{➳ \: 6x - 9 + 3 = 24}[/tex]

[tex] \text{Step \: 2 : \: Subtract \: 3 \: from \: 9}[/tex]

[tex] \text{➳ \: 6x - 6 = 24}[/tex]

[tex] \text{Step \: 3 : Add \:6 \: on \: both \: sides}[/tex]

[tex] \text{➳ \: 6x - 6 + 6 = 24 + 6}[/tex]

[tex] \text{➳ \: 6x = \: 30}[/tex]

[tex] \text{Step \: 4 : Divide \: both \: sides \: by \: 6}[/tex]

[tex] \text{➳ 6x / \: 6 \: = \: 30/ \: 6}[/tex]

[tex] \text{➳ \: x = 5}[/tex]

[tex] \text{The \: value \: of \: x \: is \: 5}[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Evaluate the function f(x) at the given numbers (correct to six decimal places).

f(x) =

x2 − 2x

x2 − 4

,


x = 2.1, 2.05, 2.01, 2.001, 2.0001,

1.9, 1.95, 1.99, 1.999, 1.9999

x f(x)

2.1

0.512195


Correct: Your answer is correct.

2.05

0.5062


Incorrect: Your answer is incorrect.

2.01

0.5012


Incorrect: Your answer is incorrect.

2.001

0.5000


Incorrect: Your answer is incorrect.

2.0001

0.500012


Correct: Your answer is correct.


x f(x)

1.9

0.487179


Correct: Your answer is correct.

1.95

0.493670


Incorrect: Your answer is incorrect.

1.99

0.498746


Incorrect: Your answer is incorrect.

1.999

0.499874


Incorrect: Your answer is incorrect.

1.9999

0.499987


Correct: Your answer is correct.

Answers

Answer:

[tex]f(2.1) = 0.512195[/tex]

[tex]f(2.05) = 0.506173[/tex]

[tex]f(2.01)=0.501247[/tex]

[tex]f(2.001) = 0.500125[/tex]

[tex]f(2.0001) = 0.500012[/tex]

[tex]f(1.9) = 0.487179[/tex]

[tex]f(1.95) = 0.493671[/tex]

[tex]f(1.99) = 0.498747[/tex]

[tex]f(1.999) = 0.499875[/tex]

[tex]f(1.9999) = 0.499987[/tex]

Step-by-step explanation:

Given

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

Solve for f(x) for all given values of x

First, we need to simplify f(x)

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

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

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

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

When [tex]x = 2.1[/tex]

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

[tex]f(2.1) = \frac{2.1}{2.1 + 2}[/tex]

[tex]f(2.1) = \frac{2.1}{4.1}[/tex]

[tex]f(2.1) = 0.512195[/tex]

When [tex]x = 2.05[/tex]

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

[tex]f(2.05) = \frac{2.05}{2 + 2.05}[/tex]

[tex]f(2.05) = \frac{2.05}{4.05}[/tex]

[tex]f(2.05) = 0.506173[/tex]

When [tex]x = 2.01[/tex]

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

[tex]f(2.01)=\frac{2.01}{2.01 +2}[/tex]

[tex]f(2.01)=\frac{2.01}{4.01}[/tex]

[tex]f(2.01)=0.501247[/tex]

When [tex]x = 2.001[/tex]

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

[tex]f(2.001) = \frac{2.001}{2.001 +2}[/tex]

[tex]f(2.001) = \frac{2.001}{4.001}[/tex]

[tex]f(2.001) = 0.500125[/tex]

When [tex]x = 2.0001[/tex]

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

[tex]f(2.0001) = \frac{2.0001}{2.0001 + 2}[/tex]

[tex]f(2.0001) = \frac{2.0001}{4.0001}[/tex]

[tex]f(2.0001) = 0.500012[/tex]

When [tex]x = 1.9[/tex]

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

[tex]f(1.9) = \frac{1.9}{1.9 + 2}[/tex]

[tex]f(1.9) = \frac{1.9}{3.9}[/tex]

[tex]f(1.9) = 0.487179[/tex]

When [tex]x = 1.95[/tex]

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

[tex]f(1.95) = \frac{1.95}{1.95 + 2}[/tex]

[tex]f(1.95) = \frac{1.95}{3.95}[/tex]

[tex]f(1.95) = 0.493671[/tex]

When [tex]x = 1.99[/tex]

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

[tex]f(1.99) = \frac{1.99}{1.99 + 2}[/tex]

[tex]f(1.99) = \frac{1.99}{3.99}[/tex]

[tex]f(1.99) = 0.498747[/tex]

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

When [tex]x = 1.999[/tex]

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

[tex]f(1.999) = \frac{1.999}{1.999 + 2}[/tex]

[tex]f(1.999) = \frac{1.999}{3.999}[/tex]

[tex]f(1.999) = 0.499875[/tex]

When x = 1.9999

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

[tex]f(1.9999) = \frac{1.9999}{1.9999 + 2}[/tex]

[tex]f(1.9999) = \frac{1.9999}{3.9999}[/tex]

[tex]f(1.9999) = 0.499987[/tex]

Note that all values of f(x) are approximated to 6 decimal places

Given the linear function f (x) = 4x - 2 identify the following;

Slope

Y intercept (let x = 0)

X intercept (let y = 0)

Is the function increasing or decreasing?

Answers

Answer:

slope: m = 4

y intercept:  (0, -2)

x intercept: (1/2,0) the 1/2 is one half

the function is increasing

4Flaming Hoop Jump of Awesome Daredevil Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey. Directions Complete each of the following tasks, reading the directions carefully as you go. Be sure to show all work where indicated, including inserting images of graphs. Be sure that all graphs or screenshots include appropriate information such as titles, labeled axes, etc. If your word processing program has an equation editor, you can insert your equations here. Otherwise, print this activity sheet and write your answers by hand. In addition to the answers you determine, you will be graded based on the work you show, or your solution process. So, be sure to show all your work and answer each question as you complete the task. Type all your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations. Your teacher will give you further directions about how to submit your work. You may be asked to upload the document, e-mail it to your teacher, or print it and hand in a hard copy. Now, let’s get started! Step 1: Analyze the graph. Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the parabolic trajectory of his practice jump. a) What are the key aspects of any parabola? What do the key aspects tell you about the graph? (5 points) b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points) Step 2: Solve for coefficient a. a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points) b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points) c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points) Step 3: Change from vertex form to standard form. To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form. a) What is the equation for a parabola in standard form? (5 points) b) Describe how to convert from vertex form to standard form. (10 points c) Convert the vertex form of the equation you wrote above to standard form. (10 points) d) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points) Step 4: Calculate the equation for the flaming hoop jump. Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome! a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points) b) Determine the values of a, b, and c. Show your work. (10 points) c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points) d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)

Answers

Answer:

Flaming Hoop Jump of Awesome

Roslyn Bertley

Q : A) What are the key aspects of any parabola? What do the key aspects tell you about the graph?

A : It goes up to its max point and comes down. The max point is 32 and how far it went was from 15 to 35

Q : A) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined.

A : Its a standard form graph , and Danny needs to figure out the speed he is ganna go and the its angle

Step 2: Solve for coefficient a.

Q : A) What equation is used to find the vertex form of a parabola with the vertex (h, k)?

A : F(x)=ax2+bx+c

Q : b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail.

A : The picture lets us know that the equation of a vertical parabola in vertex form is given by wher A is the leading coefficient. (h,k) is the vertex. looking at the graph we have a vertical paraboola opening downward . The vertex is a maximum The vertex is the point (25.32) substitute in the equation

Q : c) What is the vertex form of the parabola from Daredevil Danny’s practice jump?

f(x)=-12/25(x-25)^2+32

Step 3: Change from vertex form to standard form.

Q : a) What is the equation for a parabola in standard form?

A : y = ax^2 + bx + ct

b) Convert the vertex form of the equation you wrote above to standard form.

f(x)= -0.48xˆ2+24x-268

c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump?

Step-by-step explanation:

that’s all i got

Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?

A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell

Answers

Answer:

B. Plant cell

Step-by-step explanation:

Prokaryotic cells do not contain an enclosed nucleus or chloroplast

Red blood cells do not contain chloroplast

Animal cells do not contain chloroplast

At Henry's yearly physical, he measured 5 feet 8 inches tall. If there are 2.54 centimeters in 1 inch, what is Henry's height in centimeters?

Answers

Answer:

172.72 centimeters

Step-by-step explanation:

1. 5 ft. = 60 in.

2. 60 in. + 8 in. = 68 in.

3. 68 x 2.54 = 172.72

4. add unit of measurement to your answer

Henry's height in centimeters is 172.72 cm

What is unitary method ?

"A process of finding the value of a single unit, and based on this value we can find the required value. "

For given question,

Henry measured 5 feet 8 inches tall.

There are 2.54 centimeters in 1 inch.

that is, 1 inch = 2.54 cm

First we convert Henry's height in inches.

We know that 1 feet =  12 inches

⇒ 5 feet = 60 inches

so, Henry's height in inches would be,

5 feet 8 inches

= (60 + 8) inches

= 68 inches

From given, 1 inch = 2.54 cm

⇒ 68 inches = 172.72 cm

Therefore, Henry's height in centimeters is 172.72 cm

Learn more about the unitary method here:

brainly.com/question/22056199

#SPJ2

The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario. A spinner with 4 equal sections. 3 sections are shaded. Fran spun the spinner three times to predict whether the flight will be on time or late next Monday, Tuesday, and Wednesday. How should she interpret this outcome of the three spins: shaded-shaded-unshaded? The flight will be late all three days. The flight will be on time all three days. The flight will be late on one of the three days. The flight will be on time on one of the three days.

Answers

Answer:

CORRECT OPTION is (C) The flight will be late on one of the three days.

Step-by-step explanation:

The 7am flight from Dallas to Chicago is on time 75% of the time.

A spinner with four sections was created by Fran to simulate this scenario.

Since the 4 sections were equal, it means each section was 25% of the spinner.

3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.

This coincides with the 75% probability that the flight is on time on a given day.

In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.

Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:

- Shaded   - Shaded   - Unshaded

CORRECT OPTION is (C) The flight will be late on one of the three days.

Answer:

C

Step-by-step explanation:

I did the test

HELPPPPPP
Giving that you already know what your grades are on your report card. Please write 1 paragraph on how you would like to improve your grade in math and what steps you plan to take to do so.
my grades are A's and B's and one C. my grade in her class is a B!! help me!!!

Answers

Answer:

I will study and make sure that I'm not missing any assignments. I will try and do my best even when I dont understand. I will ask you for help if I need it. I will do my best. I will be the best student I can be. I will go to tutoring.

Step-by-step explanation:

Make sure that it sounds like you talking so she does not get suspicious

Answer: Pay more attention

Step-by-step explanation: Focus more and study more than the average human which is 1-2 hours per day, i would recommend either 3-5 every day INCLUDING WEEKENDS.

For instance, i have a 91 in math, that is because i work hard and pay attention. also because of the people who answered my question and ranked it up to a 91, so my explanation is, Pay more attention. try, https://blog.powerscore.com/gre/10-ways-to-effectively-study-vocab-words/

1 quart= 4cups=1.96, Each cup coat?

Answers

Answer:

Step-by-step explanation:

Sorry but please give detailed question

40 POINTS!!! Answer asappp!!!!!!
Solve the following proportion for u.
3 U
— = —
13 7

Round your answer to the nearest tenth.

Answers

Answer:

Th value of u is 1.6

Step-by-step explanation:

In order to find the value of u, you have to multioly both sides by 7 :

[tex] \frac{u}{7} = \frac{3}{13} [/tex]

[tex] \frac{u}{7} \times 7 = \frac{3}{13} \times 7[/tex]

[tex]u = 1.6 \: (near. \: tenth)[/tex]

Which expression is equivalent to Y.Y.Y.Z.Z.Z.Z?
O y 24
O 12xy
o (yz)
07xy
HURRYPLEASEEEE

Answers

A y exponent 3 z exponent 4.

Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa​

Answers

Answer:

La masa del paracaidista es 7.14 Kg

Step-by-step explanation:

Peso y Masa

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

[tex]\displaystyle m=\frac{P}{g}[/tex]

Sustituyendo los valores:

[tex]\displaystyle m=\frac{70}{9.8}=7.14\ Kg[/tex]

La masa del paracaidista es 7.14 Kg

Are Figures A and B congruent? Explain your reasoning.
Figure A
Figure B
HELP MA FRIENDS

Answers

Answer:

no

Step-by-step explanation:

because figure a takes up about 4 squares while figure b takes up about 8 squares

STUCK AGAIN PLEASE HELP !

-18,762=-3z-540

Answers

Answer:

z = 6074

Step-by-step explanation:

-18762 = -3z - 540

-3z = -18762 + 540

-3z = -18,222

z = 6074

Answer:

Your answer is: ↓

Step-by-step explanation:

Hope this helped : )

please help asap :)​

Answers

The answer to this question is “No”

There are two pear trees in Charles’s backyard. The height of the rst tree is two more than three times taller than the other. If the dierence in height between the two trees is 14.5 feet, calculate the height of the shorter pear tree?

Answers

Answer:

Lol Charles from Brooklyn nine-9

Step-by-step explanation:

You are testing fertilizers on plants. One plant is 11 cm tall and growing at a rate of 2 cm/day. Write an equation that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall.

Answers

I would consider for you to use Socratic

The required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

From the question given, we are told that when testing fertilizers on a plant that is 11 cm tall, it is growing at a rate of 2 cm/day. This can be expressed as:

11cm = 2cm/day

We can get the number of days it will take the 11cm plant to grow:

11cm = x

2cm = 1 day

[tex]2x = 11 * 1\\2x = 11\\x = 11/2\\x = 5.5 days\\[/tex]

Since it will take 5.5days for 11 cm plant tall to grow, to calculate the number of days 'd' it will take a 65cm plant tall to grow, we can say:

11cm = 5.5days

65cm = "d"

Cross multiply

[tex]11d = 5.5 \times 65\\d = \frac{5.5\times 65}{11}\\[/tex]

Hence the required equation  that can be solved to find the number of days, d, it will take for the plant to be 65 cm tall is d=  [tex]\frac{5.5\times 65}{11}\\[/tex]

Learn more here: https://brainly.com/question/23557548

What’s this formula used to calculate?

Answers

Answer : definitely sampling error

Simplify 2k^8×3k^3

Answers

Answer:

[tex]6k^{11}[/tex]  

I hope this helps!

Answer:

6 k^ 11

Step-by-step explanation:

2k^8×3k^3

2*3  * k^8 * k^3

6 * k^8 * k^3

When multiplying exponents with the same base, we can add the exponents

6 k^( 8+3)

6 k^ 11

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