3/10 in.=7/8 mi. (i am doing rates and ratios)

Answers

Answer 1
Answer: 3/10 in 
1 in =(1/12)ft 
1 ft =(1/5280) mi 

3/10 in=3/10*(1/12)*(1/5280) mi 

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The number of dogs in a city is declining at a rate of about .08% eachyear. If there were 3500 cats to begin with, how many will there be in 10years?

(-18)-(4) please help thank you

Answers

Answer:

-22

Step-by-step explanation:

18 + 4 = 22

then just add the negative to 22

-22

Answer:

-22

Step-by-step explanation:

-18 - 4 = 22

What is one third of 97.50

Answers

1/3 of 97.50 is 32.5

Find the variance and standard deviation of the given set of data to the nearest tenth.{440, 130, 280, 500, 150, 640, 760}


A) variance = 222.7, standard deviation = 49,595.9

B) variance = 49,595.9, standard deviation = 24,798

C) variance = 49,595.9, standard deviation = 222.7

D) variance = 57,861.9, standard deviation = 240.5

Answers

Answer:

Part 1) variance = 49,595.9

Part 2) standard deviation = 222.7

Option C

Step-by-step explanation:

we have

set of data [440,130,280,500,150,640,760]

step 1  

Find the mean  

Adds the values and divide by the number of values

In this problem the number of values is 7

[440+130+280+500+150+640+760]/7

[2,900]/7=414.3

step 2  

for each number: subtract the Mean and square the result  

(440-414.3)^(2)=660.49\n (130-414.3)^(2)= 80,826.49\n (280-414.3)^(2)= 18,036.49\n (500-414.3)^(2)= 7,344.49\n (150-414.3)^(2)= 69,854.49\n (640-414.3)^(2)= 50,940.49\n (760-414.3)^(2)=119,508.49

step 3  

work out the mean of those squared differences  

[660.49+80,826.49+18,036.49+7,344.49+69,854.49+50,940.49+119,508.49]/7=347,171.43/7=49,595.9 ----> this value is called the "Variance"  

step 4

The standard deviation is the square root of the variance

so

The standard deviation is equal to

√(49,595.9)=222.7

What's the greatest whole number that rounds to 621,860

Answers

The greatest whole number that number that rounds to 621,860 is 621,864

Plz help (Will give brainliest for the best answer!!)The graph shows a line and two similar triangles.
(Image below)

Answers

Answer:

B. y = 2/3 x.

Step-by-step explanation:

The  slope of the line = rise / run = 2/3.

The equation is  y = 2/3 x.

Answer:

B. y = 2/3x.

This is your answer!

What is the area of a right triangle with a leg length of 15 feet and hypotenuse length of 39 feet

Answers

The formula of the area of a triangle is given by

A=(1/2)a*b

where a and b are the two shortest legs of the triangle, keeping in mind that the longest side of a triangle is the hypotenuse.

Since we are given with the length of a short leg and the hypotenuse, we can calculate for the length of the second short leg through the Pythagorean Theorem which is given as

c^2=a^2+b^2

Hence,

(39)^2=(15)^2+b^2
1521=225+b^2
1296=b^2
b=36 feet

The length of the other short leg is then 36 ft. Substituting this to the formula of the area we have

A=(1/2)(15)(36)
A=270 ft^2

The area of the specified right triangle is 270 square feet.