1. A rectangular fish tank 60 cm by 15 cm by 34 cm find the volume of water needed to fill the tank 2/3 of the given aquarium.

What is the number two hundred seven thousand, four hundred sixty written in standard form?

Zinaida [17]

Answer:

207,460

Step-by-step explanation:

brainiest plz

5 0

3 years ago

Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))

Romashka [77]

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

$f(x)=\frac{x-2}{3}$

You must substitute $x=2$ into the function f(x). Then:

$f(2)=\frac{(2)-2}{3}$

2. Evaluating, you get:

$f(2)=\frac{0}{3}\\\\f(2)=0$

3. Now, the next step is to substitute $f(2)$ into the function g(x):

$g (x) = 3x+2\\\\g (f(2)) = 3(0)+2$

4. Finally, evaluating, you get the following result:

$g (f(2)) = 0+2\\\\g (f(2)) =2$

You can identify that it matches with the Option C.

3 0

4 years ago

Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (

aleksley [76]

Answer:

$H_0: p = 0.5\\H_a: p \neq 0.5$

a. We get 56 heads out of 100 tosses.

We will use one sample proportion test

x = 56

n = 100

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{56}{100}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$

= $1.2$

refer the z table for p value

p value = 0.8849

a. We get 560 heads out of 1000 tosses.

We will use one sample proportion test

x = 560

n = 1000

$\widehat{p}=\frac{x}{n}$

$\widehat{p}=\frac{560}{1000}$

$\widehat{p}=0.56$

Formula of test statistic = $\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

= $\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}$

= $3.794$

refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

6 0

3 years ago

HELP URGENT PLEASE

ki77a [65]

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

= 7920*3.142

= 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

5 0

3 years ago

How do I write a decimal or fraction as a percent for 2/5

AleksandrR [38]

Answer:

40%

Step-by-step explanation:

Make it so the denominator is 100 since a percentage is out of a 100.

2/5 x 20/20 = 40/100

Now turn 40/100 into a percent. Should be simple. 40 out of 100 is 40%.

4 0

4 years ago