An ecologist wants to know what percent of the 10,000 fish in a lake are cod. She conducts a study in which 50 fish are randomly caught. Of those 50 fish, 15 are cod. Based on this data, using a 95% confidence interval, the researcher can determine that the percent of fish that are cod in the lake is which of the following?

(1) Between 17% and 43%
(2) Exactly 30%
(3) Between 24% and 36%
(4) Between 20% and 40%

Answer:

Step-by-step explanation:

Given

Equating them

Substituting x in the 1st Equation

Solution :

VW = 6

hope it helps...!!!

Answer:

raju is 20 years old while the father is 40 years old

Step-by-step explanation:

present : lets assume raju is x years old so the father will be 2x

after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs

therefore :

(x+10)+(2x+10)=80

liketerms together

x+2x+10+10=80

3x+20=80

3x=80-20

3x=60

simplify

x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old

Answer:

Logan: 9

Ethan: 14

Step-by-step explanation:

Let Ethan = e

Let Logan = l

1) We can set up two equations and solve them simultaneously.

e + l = 23

5 + l = e

1.1) To solve these equations, we can either use substitution or elimination.

5 + l + l= 23

2l = 23 - 5

2l = 18

l = 18/2

l = 9

2) Plug the result of l into one of the two equations above.

5 + 9 = e

14 = e

Answer:

4.16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer :: 7

Explanation ::

Okay, I'm going to stretch this explanation long so people can understand! Hopefully this helps :) I will also provide a shorter explanation so if people want to find out how to do it quicker without details to help you understand better, they can read the shorter explanation!

- long explanation -

Equation provided from the info :: (x * 2) + 1 = 15

We need to find out what number is the x. First of all, one way to do it is do the equation backwards. And the operators will be the opposite too, for example addition is the opposite of subtraction and multiplication is the opposite of division. Now once we flip the equation it should look like this:

(15 - 1) / 2 = x

Let's break the equation apart so it's easier to work with. Remember, the rule PEMDAS. Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. Why I put "and" between some words, is because they are the same level and you should go left to right from the equation. So the equation in parentheses is (15 - 1). So we just have to solve it! The answer is 14, which is an even number, so we don't have to fiddle with decimals. But if you want to know how to divide an odd natural number, feel free to comment on this answer! The equation should look like this:

14 / 2 = x

Now, all we have to do now is divide 14 in half! As someone who memorised their whole multiplication and division table, it's easy for me to figure it out. But if you haven't, try using addition! All you have to do is count up your numbers.

1 + 1 = 2

2 + 2 = 4

3 + 3 = 6

4 + 4 = 8

5 + 5 = 10

6 + 6 = 12

7 + 7 = 14!

So now we know 14 / 2 is 7. Sorry if this is too easy, I'm just giving attention to some who learn slowly, which is absolutely alright! So now we have our 2 answers. The equation now looks like this:

14 / 2 = 7.

Well we now know what the x is, and if you want to make sure it's the correct answer just flip the equation!

(7 * 2) - 1

7 * 2 = 14

14 - 1 = 15

Your answer is the same one provided, so the number is 7!

- short explanation -

The equation with the numbers provided is (x * 2) + 1 = 15

Let's flip the equation so it's easier! It should look like this:

(15 - 1) / 2 = x

Now all we have to do is solve it!

15 - 1 = 14

14 / 2 = 7

So our answer is 7! To check if the answer is correct, just re-do the unflipped equation!

(7 x 2) + 1 = ??

7 x 2 = 14

14 + 1 = 15

15 is the answer given in the text, so 7 is the correct answer.

Answer: 56

Step-by-step explanation:

Going to the website UTSA

Answer:

12 and 6

Step-by-step explanation:

12×6=72

12÷6=2

I hope this may help you

Answer:

its an odd

Step-by-step explanation:

The leading coefficient is negative

hope this helps

Answer:

344 ft

Step-by-step explanation:

This is the equation for a dome shaped parabola

The TIME of the highest point is found by  

   t = - b/2a = - 144/(2 * -16) = 4.5 sec

Sub this value of t into the equation to find max height = 344 ft

Step-by-step explanation:

We know the area of a circle is

[tex]\pi {r}^{2} [/tex]

That is when the cricle is 360 degrees full, so another formula is

[tex] \frac{360}{360} \pi {r}^{2} [/tex]

If we the find the area of the sector with angle x, then that formula will be

[tex] \frac{x}{360} {\pi}r^{2} [/tex]

Answer:

The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.

Step-by-step explanation:

The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²

An equation is an expression that shows the relationship  between two or more numbers and variables.

The area of a rectangle = length * width, hence:

Area of rectangular garden = (2x + 7) * (3x + 10) = 6x² + 41x + 70

The area of Mrs. Leger's garden with length of (3x + 10) in and width of (2x + 7) in is 6x² + 41x + 70 in²

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

f(g(x)) = 9x² + 15x + 2

Step-by-step explanation:

Solving f(g(x))

Answer:

[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Step-by-step explanation:

Step 1:  State the equations

[tex]f(x) = x^2 + 5x + 2[/tex]

[tex]g(x) = 3x[/tex]

Step 2:  Insert the equation and solve

[tex]f(g(x)) = (g(x))^2 + 5(g(x)) + 2[/tex]

[tex]f(3x) = (3x)^2 + 5(3x) + 2[/tex]

[tex]f(3x) = 9x^2 + 15x + 2[/tex]

[tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Answer:  [tex]f(g(x)) = 9x^2 + 15x + 2[/tex]

Answer:

Answer are in the steps.

Step-by-step explanation:

Most of the problems is parallelogram some angles are the same. 2 angles add up to 180° are known as supplementary angles also known as linear pair.

#1:

<1 = 148° , <2= 32° , <3 = 148° , <1 = 32° , <5 = 148° , <6 = 32° , <7 = 32°

#2: All of them are 90° because of linear lines that add up to 180° / parallelogram.

#3: If <1 = 130°, then <8 = 148°.

Because Parallelogram <1 and <8 transversal.

#4 If <5 = 53° , then <3 = 127°

Because <5 = <4 so <5 + <3 = 180°

#5 If <7 = 71° , then <3 = 109°

Because <7 + <3 = 180°

#6 If <4 = 65° , then <6 = 115°

Because <5 = <4 so <4 + <6 = 180°

Answer:

33%

Step-by-step explanation:

16 is one third of 48

Answer:

2/8 and 5/8

Step-by-step explanation:

4=2×2

8=2×2×2

LCM=2×2×2=8

1/4 × 2/2 = 2/8

Step-by-step explanation:

Area = 1/2 × base × height

= 1/2 × 23/6 × 2.4

= 23×2.4/12

= 4.6 ft²

Step-by-step explanation:

[tex]| 8x - 5 | < - 3[/tex]

[tex]8x < - 3 + 5[/tex]

[tex]8x < 2[/tex]

[tex] \frac{8x}{8} < \frac{2}{8} [/tex]

[tex]x = \frac{1}{4} [/tex]

Answer:

x = 1/4

Step-by-step explanation:

answer is 1 1/2

hope it helps...!!!

Answer:

x = - 8/3

Step-by-step explanation:

Hope this helps

Answer:

(a) 1,028,160

(b) 8,568

Step-by-step explanation:

(a)

[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]

(b) 18! / (5! 13!) =

[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]

Answer:

D: difference between Shelly and Terrence total points

Answer:

y=3

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

first the slope:

[tex]m = \frac{3-3}{-7-5} =0[/tex]

The equation

[tex]y-3=0(x-(-7))\\y-3=0[/tex]

[tex]y=3[/tex]

The line is parallel to the "x" axis, has no slope.

Hope this helps

Answer:

840

Step-by-step explanation:

because he can drive 14 with one gallon of gas so 14x 60