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

Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Answers

Answer:

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be

Answers

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

Please help me kitty <3
•multiple-choice answer

Answers

Answer:

Decreasing linear

Step-by-step explanation:

An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear

Geometry geometry help

Answers

Answer:

x = 32

Step-by-step explanation:

The sum of all interior angles of this pentagon is 540

Solve for x by using this formula

540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)

540 = 700 - 5x

540 - 700 = -5x

-160 = -5x

-160/-5 = x

32 = x

The perimeterof a squareis 20 feet.
What is the area of the square?

Answers

Answer:

C. 25 ft²

Step-by-step explanation:

the length of side = 20/4 = 5 ft

so the area of the square = 5² = 25 ft²

Answer:

C: 25 ft2

Step-by-step explanation:

Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!

The gardern is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed. The rest of the area is lawn. Pete sprays the lawn. The spray cost 0.35 per 3m2

Answers

Given :

The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.

Solution :

Area of lawn = Area of garden - area of garden patch - area of flowerbed.

[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]

Total cost of spray is given by :

[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]

Hence, this is the required solution.

Find the value of X and BD

Answers

Answer:

x = 2, BD = 13

Step-by-step explanation:

Given 2 intersecting chords , then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )

5x - 1 = 9 ( add 1 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

Then

BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13

Find the radical equivalent of 2723 and compute it.
ASAP PLS

Answers

Try 1.56 it should help!!

¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?

Answers

Answer:

2224.32 cm³

Step-by-step explanation:

La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h

Donde a = Apotema = 9,93 cm

P = Perímetro =

Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm

h = Altura = 28 cm

Por eso,

Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm

= 1/3 × 238.32 × 28 cm

= 2224.32 cm³

Volumen de la pirámide hexagonal = 2224.32 cm³

What is the area of the square

One side has 5 feet

A)10 square feet
B) 25 square feet
C) 20 square feet
D) 5 square feet

Answers

B. Each side of a square is equal. So every side is 5. Formula for area is length x width. So multiply 5 and 5. Answer is 25.
You multiply length times the width which is 5 time 5 in your case and your answer should be 25

help! f(x)=x^2 what is g(x)

Answers

Answer:

C.) g(x) = 3x^2

can someone help please

Answers

Answer:

isn't it b i remember doing something almost the same as this

Answer:

24

Step-by-step explanation:

f(4) means you plug the 4 into the equation so 4 x 4= 16

then 3(4)= 12

16+12-4=24

1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.​

Answers

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the bridge stands 761 feet above Jayden’s viewing point on the boat, what is the horizontal distance from Jayden to the bridge?

Answers

The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.

What is trigonometry?

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of elevation of 42⁰

The bridge stands 761 feet above

Here the horizontal distance will be calculated as:-

[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]

Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

find the slope of the line between the following two points (-5,-1), (-1,9)

respond quick please :)

Answers

Answer: The slope of the line is -2

Step-by-step explanation:

We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this

[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]

find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:  [tex]2\sqrt{5}[/tex]

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

Explanation:

Both legs are the same length, as indicated by the tickmark.

a = [tex]\sqrt{10}[/tex]b = [tex]\sqrt{10}[/tex]c = x

Use the pythagorean theorem to solve for x

[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]

If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?

Answers

Answer:

99407/100000

Step-by-step explanation:

100000 - 593 = 99407

Find the missing side

Answers

Answer:

x = 71.5 in

Step-by-step explanation:

Remember the SOHCAHTOA rule

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case, we use: CAH.

cos(52) = 44/x

x = 44/cos(52)

x = 71.5 inches

03.
(a)
Multiply out
3(2x-7)
Answer

Answers

Answer: -42 is the answer.

Out of 260 racers who started the marathon, 235 completed the race, 17 gave up, and 8 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.

Answers

18/230 = (approximately) 0.07826.

Multiply by 100 to change the decimal to a percent.

Answer:

9.6% or 9.7% did not finish

Step-by-step explanation:

You can solve this 2 different ways:

First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.

Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.

They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)

An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2ft

Step-by-step explanation:

Depth = volume / ( length x width)

11.81 / (2.8 x 1.7)

11.81 / 4.76

depth = 2.48

2 ft (to the nearest whole number)

Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E​

Answers

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

- 3/8 + 1/6




i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go

Answers

U basically follow the line from the prime meridian and use the number that is dived by the Meridian

Answer:

[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]

Need help it’s due very soon and show work please ASAP !!?

Answers

Answer:

The volume of the cylinder is 125.664 cubic inches, without rounding off

the volume is 125.664

given AB is a diameter, find the measure of

Answers

Answer:

Angle BCA = 90

Step-by-step explanation:

A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle

Where the angle opposite of the hypotenuse ( or diameter ) is the right angle

Angle BCA is the angle opposite of the diameter

Hence BCA = 90

Please only respond if you know it’s correct

Answers

The slope is I don’t know
it is the second option

Do y’all know this?

Answers

Answer:

Step-by-step explanation:

x=[tex]\sqrt{100+16}[/tex]

x=[tex]\sqrt{116}[/tex]

x=2[tex]\sqrt{29[/tex]

Answer:

[tex] x = \blue{2\sqrt{29}} [/tex]

Step-by-step explanation:

[tex] a^2 + b^2 = x^2 [/tex]

[tex] 4^2 + 10^2 = x^2 [/tex]

[tex] 16 + 100 = x^2 [/tex]

[tex] x^2 = 116 [/tex]

[tex] x = \sqrt{116} [/tex]

[tex] x = \sqrt{4 \times 29} [/tex]

[tex] x = \blue{2\sqrt{29}} [/tex]

a + x = -3 với a = 5 . Tìm x

Answers

Answer:

the answer is if a=5

than, 5+x=-3

or,x=-3-5

therefore x=-8

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex]a + x = - 3[/tex]

[tex]5 + x = - 3[/tex]

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

[tex]x = - 8[/tex]

Hope it is helpful...

Can you help me solve this please by telling my how they are congruent. please your my only hope....​

Answers

Answer:

they are congruent im pretty sure

Step-by-step explanation:

looks like they are congruent by SAS

can someone help me !

Answers

Answer:

Wouldn't it be B?

Step-by-step explanation:

When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.

So it would be 5i?

5si = good

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