The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm

Answers

Answer 1

Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262


Related Questions

45 + 15(n − 1) for n = 6

Answers

Answer:

120

Step-by-step explanation:

45 + 15 (6 -1)

45 + 15 (5)

45 + 75

120

Is the following relation a function?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

What is the solution set of the equation below? 3|5 − x| + 2 = 29

Answers

Answer:

x=-4

x=14

Step-by-step explanation:

Absolute Value Equation entered :

     3|5-x|+2=29

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     3|-x+5|+2 = 29

Another term is moved / added to the right hand side.

     3|-x+5| = 27

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is 3|-x+5|

For the Negative case we'll use -3(-x+5)

For the Positive case we'll use 3(-x+5)

STEP

3

:

Solve the Negative Case

     -3(-x+5) = 27

    Multiply

     3x-15 = 27

    Rearrange and Add up

     3x = 42

    Divide both sides by 3

     x = 14

STEP

4

:

Solve the Positive Case

     3(-x+5) = 27

    Multiply

     -3x+15 = 27

    Rearrange and Add up

     -3x = 12

    Divide both sides by 3

     -x = 4

    Multiply both sides by (-1)

     x = -4

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=14

x=-4

Solutions on the Number Line

 

Two solutions were found :

x=-4

x=14

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

800-250=550

Step-by-step explanation:

I hope this helped! Please mark as brainliest if i was correct.

10 POINTS
Find intercepts and interpret their meaning.
Assignment

What is the x-intercept?

Answers

Answer:

-4

Step-by-step explanation:

The x- intercept is -4 because it is where the line crosses the x-axis.

-4
Step by step explanation

A submarine is 150 feet below sea level and then descends 850 feet before rising 35 feet and leveling out. At what depth is the submarine when it levels out?

Answers

It’s at a depth of 965ft

You would take 150 and add 850 which equals 1000 and then subtract 35 which gives u 965ft

Simplify: (16x^3– x² + 3)-(-12x^3 + 3x^2 + 2)

Answers

Answer:

[tex]28x^{3} - 4x^{2} + 1[/tex]  

I hope this helps!

Answer:

28x^3-4x^2+1

Step-by-step explanation:

Please make me Brainliest

Which translation will change figure QRSTU to figure Q'R'S'T'U'?


A coordinate plane is shown. Polygon QRSTU is composed of points Q, negative 4 comma 4, R, negative 4 comma 2, S, negative 3 comma 1, T, negative 2 comma 2, and U, negative 2 comma 4. Polygon Q prime, R prime, S prime, T prime, and U prime is composed of points Q prime, 1 comma 2, R prime, 1 comma 0, S prime, 2 comma negative1, T prime, 3 comma 0, and U prime, 3 comma 2.


3 units left and 2 units up

3 units right and 5 units down

5 units right and 2 units down

5 units left and 2 units up




I don't know how to put a picture on it
help!

Answers

Answer:

It is 5 units to the right and 2 units down

if it helps look at the picture ^

Answer:

5 units Right and 2 units down

Step-by-step explanation:

I took he test and got it correct

Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.

Answers

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

Solve the following equation for p. What POSITIVE value of p? 10 - 43 - |7p + 12|

Answers

Answer:

Subtract

43

from

10

.

33

|

7

p

+

12

|

Step-by-step explanation:

The positive value of p from the equation is; p = 3

This is about absolute values.

We are given the equation;

10 = 43 - |7p + 12|

Let us simplify by subtracting 43 from both sides to leave the right hand side as an absolute value form.

10 - 43 = - |7p + 12|

-33 = - |7p + 12|

divide both sides by -1 to get;

33 = |7p + 12|

Determine the slope of the line that passes through the points M(-3, 5) and N(1, 8). Represent the slope in decimal form.

Answers

Answer:

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form is 0.75

Step-by-step explanation:

The given points are M(-3, 5) and N(1, 8)

The formula for finding the slope, m, given the coordinates of two points on the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where, (x₁, y₁) = (-3, 5), and (x₂, y₂) = (1, 8), we have;

[tex]Slope, \, m =\dfrac{8-5}{1-(-3)} = \dfrac{3}{4} = 0.75[/tex]

The slope, m = 0.75

The slope of the line that passes through the points M(-3, 5) and N(1, 8) in decimal form = 0.75.

Choose the definition, theorem, or postulate that justifies the statement.

A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence

Answers

Answer:

E. Definition of Supplementary Angles

Step-by-step explanation:

The ratios 5 : 3 and 10: 6 ARE equivalent ratios. Which ratio is NOT equivalent to BOTH original ratios?

A. 15: 12

B. 30: 18

C. 15: 9

D. 20: 12

Group of answer choices

C

A

B

D
MATH
7TH GRADE

Answers

Answer:

A

Step-by-step explanation:

30:18 /6 =5/3

15:9 /3 =5/3

20:12 /2 =5/3

Answer:

free points

Step-by-step explanation:

thanks sis

please answer. i would rlly like it

Answers

Answer:

im pretty sure it isnt a function (not sure, i think)

Step-by-step explanation:

Answer:

i might be wrong but i think it's a relation that is not function

Step-by-step explanation:

sorry if im wrong....

Which of these three numbers is the largest?
4.187 or 4.2 or 4.099​

Answers

Answer:

4.2

Step-by-step explanation:

There are the most tenths in the number

Answer:

4.2

Step-by-step explanation:

Can You Please Help? I swear I will mark brainliest

Answers

Answer:

The answer is 2 inches

Step-by-step explanation:

U just have to divid 20 by 10 and you get ur answer

What is x on this right triangle? Round to the nearest tenth.

Answers

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus

x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )

Foot Locker is having a sale. Buy 1 pair of Nikes for 200.00 and you get a 20% discount off the second pair. If the sales tax is 4%, how much is the first pair of Nikes?

Answers

Answer:

208

Step-by-step explanation:

200*.04=8

200+8=208 (for the first pair)

Multiply the polynomials (3y^3 + 2y^2 – 7y) and (2y^2 – 4y + 4).

Answers

Answer:

6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Step-by-step explanation:

Expand the following:

(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)

| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0

| | | | | | 2 y^2 | - | 4 y | + | 4

| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0

| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0

6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0

6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:

Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Given f(x) = -x + 3, solve for x when f(x) = 4.

Answers

Answer:

x=-1

Step-by-step explanation:

f(x)=f(x)

-x+3=4

Someone help me please❤️

Answers

(-2,-7), (-1,-4), (0,-1) (1,2)
Inputs : -2,-1,0,1
Outputs: -7,-4,-1,2

Answer:

inputs:            outputs:

-2                     -7

-1                      -4

0                      -1

1                        2

Step-by-step explanation:

Input=domain and x so, plug domains in for x in the equation to get each output.

input                equation              output

-2                     y=3(-2)-1                   -7

-1                      y=3(-1)-1                    -4

0                      y=3(0)-1                    -1

1                       y=3(1)-1                      2

During the bake sale, Paayal and Parvathy sold 200 cookies. Paayal sold her cookies for 5 cents each, while Parvathy sold her cookies for 10 cents each. The total amount of money customers paid for cookies was $11.00. How many cookies did Paayal sell? How many cookies did Parvathy sell?

Answers

Answer:

Paayal sold 180 cookies and Parvathy sold 20 cookies.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=200 (1)

0.05x+0.10y=11 (2), where:

x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.

First, you can solve for x in (1):

x=200-y (3)

Now, you can replace (3) in (2):

0.05(200-y)+0.10y=11

10-0.05y+0.10y=11

0.05y=1

y=1/0.05

y=20

Finally, you can replace the value of y in (3) to find x:

x=200-y

x=200-20

x=180

According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.

P=a+b+c solve for b and graph the inequality

Answers

I need points can you give me some of your points

How many gallons of water are in a 2 gallon pitcher that is 3/4 full?

Answers

Answer:

1.5 gallons

Step-by-step explanation:

2 x 0.75

1.5 gallons

Brainliest appreciated!

Answer:

1.5 gallons

Step-by-step explanation:

1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.

Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________

Answers

Answer:

1. π, 4, 8

2. 5, π + 2, 173

3. -2, 1.7, 2

4. 2.5, 5, 32

5. 3.7, π + 1, 13

6. π - 2, 52, 54

Step-by-step explanation:

π = 3.1415

3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?​

Answers

Answer:

The cost price was $48

Step-by-step explanation:

60-20%=48

hope it helps :)

Answer:

50

Step-by-step explanation:

60-x*100=20

6000-100x=20x

6000=20x+100x

6000= 120x

x= 6000/120

x= 50

Write the equation of a line with slope 2 and y-intercept −1.
Pls I need help with this quick

Answers

Answer:

[tex]y=2x-1[/tex]

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

The question provides both the slope m=2 and the y-intercept b=-1.

Thus, substituting:

[tex]\boxed{y=2x-1}[/tex]

29 2/3 divide 7 1/2
what’s the answer

Answers

Answer:2 5/42 or 89/42

Step-by-step explanation:

The answer would be 1/21
I tried to just write the answer but they said I had to write 20 sentence.

Plz help. And plz show work.

Answers

SU= 10
x-7+6=2x-12
x-1=2x-12
x+11=2x
11=x
2(11)-12=10

Arturo is driving to a hotel. After 3 hours of driving, he is 135 miles from home. After 5 hours of driving, he is 225 miles
from home. Arturo graphs his distance with respect to time as a line. What is the slope of the line?
Respect to time as a line. What is the slope of line?

Please help !

Answers

Answer:

it is C

Step-by-step explanation:

i took all the test and got a hundred

if we graph his distance with respect to time as a line then slope of line is 45.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Arturo after 3 hours of driving is 135 miles from home. After 5 hours of driving, he is 225 miles

from home

Let the two points are (3, 135) and (5,225)

m=225-135/5-3

=90/2

=45

Hence, if we graph his distance with respect to time as a line then slope of line is 45.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

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