In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.

Answers

Answer 1

Answer:

[tex]SE_{\bar x} = 0.311[/tex]

Step-by-step explanation:

Given

[tex]n=5[/tex]

[tex]\bar x = 41\%[/tex]

[tex]\sigma^2= 48.5\%[/tex] --- variance

Required

The standard error of the sample mean

This is calculated as:

[tex]SE_{\bar x} = \frac{\sigma}{\sqrt n}[/tex]

This can be rewritten as:

[tex]SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}[/tex]

So, we have:

[tex]SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}[/tex]

Rewrite as:

[tex]SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}[/tex]

[tex]SE_{\bar x} = \sqrt{0.097}[/tex]

[tex]SE_{\bar x} = 0.311[/tex]


Related Questions

Pls help. What is the appropriate congruent for these triangles

Answers

Answer:

Side-Side-Side (SSS) Congruence - if three sides of one triangle are congruent to three sides of  another triangle, then the triangles are congruent.

Side-Angle-Side (SAS) Congruence - If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Angle-Side-Angle (ASA) Congruence - If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Angle-Angle-Side (AAS) Congruence - If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

u see which one fits

Answer:  SAS

Step-by-step explanation: because there are Two sides and the angle between them are congruent.

At What values of X, does FX equals zero?

Answers

Answer:

the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).

Step-by-step explanation:

what is the height of this triangle?

Answers

Answer:

XY (height) is approximately 20.8 feet

Step-by-step explanation:

let h = XY

tan60° = h/12

h = 12·tan60°

h = 20.78 ft

just need number 5 !

Answers

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

if x:y=5:3 then (8x-5y): (8x+5y)=?​

Answers

The correct answer is 5:11

solving system by substitution Help ASAP

Answers

Answer:

c is 3

d is 10

Step-by-step explanation:

see photo :)

Answer:

Hello answer:

c = 3

d = 10

Step-by-step explanation:

2 × c = 6 6 + 4 = 10

10 × 3 = 30 c × 2 = 6 30 + 6 = 36

MATH QUESTION HELP ME PLS, KINDA URGENT!!

I need to resolve this with the elimination method

x +y +z = 13
x–z = −2
−2x +y = 3

how-?

Answers

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer

X=2

Y=7

Z=4

Step by step answer

Trust

You have a hospital bill of $14,000. You have an insurance plan that has a $2,000 deductible and a 20% coinsurance clause. How much do you pay towards the total bill?

Answers

Answer:

4400

Step-by-step explanation:

First take off your deductible

14000-2000

12000

Now find 20 % of this amount

12000*20%

12000 * .20

2400

You have to pay the deductible and the 20%

2000+2400

help with trigonometry plz

Answers

Answer:

Below,

Step-by-step explanation:

a. cos O = adjacent side/hypotenuse

= 88.3/117

= 0.75470

O = 41 degrees.

b. sin O = opposite side/hypotenuse

= 2.4/3.8

= 0.63158

O = 39 degrees

Just wanna double check my answer on this one. I got a profit of 60%

Answers

Answer:

Yes the answer is indeed 60%

the answer is 60% so you are correct

Find the equation in terms of x of the line through the points (-4,-6) and (1,9)

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - (-6) / 1 - (-4)

15/5

= 3

y = 3x + b

9 = 3(1) + b

9 = 3 + b

6 = b


z = 3. & y = 6
Evaluate the
expression: Y - Z

Answers

Answer:

6-3=3

3 is the answer because they gave you the value of Y and Z then they asked you to subtract

Green Red Blue Yellow

Event A: lands on yellow.
Event B: lands on green.
Events A and B are_______ events.​

Answers

Answer:

independent

Step-by-step explanation:

Answer:

Disjointed

disjointed events: events that have no outcomes in common

so that's why it is disjointed

Does the equation x² - 4x + y2 = -3 intersect the x-axis?

a. yes, because the center is on the x-axis.

b. no, because the center is at (2,0) and the radius is 1

c. no, because the circle is entirely in the first quadrant.

d. yes, because the center is at (-2,0) and the radius is 3.

Answers

Answer:  a. yes, because the center is on the x-axis.

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

Explanation:

The x intercepts always occur when y = 0.

Replace y with 0 and solve for x

x^2-4x+y^2 = -3

x^2-4x+0^2 = -3

x^2-4x+0 = -3

x^2-4x = -3

x^2-4x+3 = 0

(x-3)(x-1) = 0

x-3 = 0 or x-1 = 0

x = 3 or x = 1

This shows that the x intercepts are located at (3,0) and (1,0). Refer to the diagram below. The diagram shows that the roots are at points A and B. The center is the midpoint of A and B. The center is also on the x axis.

-----------------

Here's another approach:

The general template of a circle is (x-h)^2 + (y-k)^2 = r^2

Let's complete the square of the original given equation to get it into that template form above.

x^2 - 4x + y^2 = -3

(x^2-4x) + y^2 = -3

(x^2-4x+4) + y^2 = -3+4 ... add 4 to both sides

(x-2)^2 + y^2 = 1

(x-2)^2 + (y-0)^2 = 1^2

The equation is now in the template form mentioned earlier. The center is at (h,k) = (2,0) which is on the x axis.

What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)

Answers

Answer:

below

Step-by-step explanation:

that is the solution above

The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

What is Algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Here, given expression;

 [tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]

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

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

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

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

Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].

Learn more about Algebraic expression from:

https://brainly.com/question/953809

#SPJ2

The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide and 16 feet long. The second space is 13 feet wide and 15 feet long. Which is the larger space? Explain.

Answers

Answer:

The second space (13 feet wide & 15 feet long) is the larger space.

Step-by-step explanation:

According to the question,

Given, The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide & 16 feet long ( Rectangle, A Type of Parallelogram).

Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .

The second space is 13 feet wide & 15 feet long( Rectangle, A Type of Parallelogram) .

Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .

VWX and TUX are equilateral complete proof that UV = TW

Answers

Answer:

6. Side Angle Side (SAS)

7.  Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement                                                   Reason

1. ΔVWX is equilateral                            Given

2. ΔTUX is equilateral                            Given

3. VX ≅ WX                                             Definition of equilateral triangle

4. TX ≅ UX                                              Definition of equilateral triangle

5. <TXW ≅ <UXV                                    Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX                                   Side Angle Side (SAS)

7. UV ≅TW                                               Definition of congruence

HELPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE! asap

Answers

Answer:

209.25 ft²

Step-by-step explanation:

2.7cm * 5 = 13.5 ft

3.1cm * 5 = 15.5 ft

Area

a = 13.5 * 15.5

a = 209.25 ft²

Answer:

8.37cm

Step-by-step explanation:

2.7cm×3.1cm=8.37cm

Area rectangle is length by width

Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

or

V= 4188.79(Nearest Hundredth).

314 or 100pi cause u do 10 squared multiplied by 3.14

Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary

x^2 - 49 = 0

Answers

Answer:

[tex]x = 7 \: or \: x = - 7.[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 49 = 0[/tex]

Then

[tex] {x}^{2} = 49 [/tex]

So

[tex]x = 7 \: or \: x = - 7.[/tex]

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7

when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist

Answers

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

Find the difference. Show your solutions as two steps: First rewrite the subtraction as addition; then carry out the addition to find the answer. 8 − 5 = 8 + 8+5 Incorrect: Your answer is incorrect. = 45 Incorrect: Your answer is incorrect.

Answers

Answer:

[tex]8 - 5 = 3[/tex]

Step-by-step explanation:

Given

[tex]8 - 5 =[/tex]

Required

Solve

Step 1: Write as addition

Simply change the positions of -5 and (+)8

[tex]8 - 5 = -5 + 8[/tex]

Step 2: Add

[tex]8 - 5 = 3[/tex]

PLEASE HELP FAST!!!!!!!!!

Answers

Answer:

First: [tex]y = \frac{4}{7} x + 2[/tex]    

Second: [tex]y = -\frac{1}{7} x + 2[/tex]

Third: [tex]y = x + 2[/tex]    

Fourth: [tex]y = \frac{1}{7} x + 2[/tex]    

The number of spectators at the 2010 World Cup match between Argentina and Mexico was 82000 correct to the nearest thousand. If each spectator paid 2600 Rand to attend the game what is the lower bound for the total amount paid? Write your answer in standard form

Answers

Answer:

$213,200,000 or 2.132*10[tex]^{5\\}[/tex]

Step-by-step explanation:

82000*2600

if 6 = 68 degrees, find the measures of angles 4, 5 ,7

Answers

Answer:

4 = 68

5 = 112

7 = 112

Step-by-step explanation:

Hope it helps

I hope it's helpful .....

Write an equation of the line that passes through the points (3.2) and (6,11). Show your work!

Answers

Answer:

[tex]y=3x-7[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Points (3,2) and (6,11)

[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=3x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=3(3)+b\\2=9+b[/tex]

Subtract 9 from both sides

[tex]2-9=9+b-9\\-7=b[/tex]

Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:

[tex]y=3x-7[/tex]

I hope this helps!


Write equation for the line that is parallel to the x axis and passing through (3,2)

Answers

Answer:

y = 2

Step-by-step explanation:

horizontal lines are parallel to the x-axis

The horizontal line through (3, 2) is

y = 2


Which of the following could be the measure of the angle below?

Answers

Answer:

There is nothing below.

Step-by-step explanation:

Help me please and thank you

Answers

Step-by-step explanation:

i dont know i guess we'll never know

In this lesson you will learn methods for finding the lengths of which of the following?

chords
arcs
radii
tangents
secants

Answers

radii...................

Answer:

RADI

Step-by-step explanation:

Other Questions
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