Solve the value of x in the following proportion 6:9=x:72

Answers

Answer 1

Answer: So first find out: How much larger or smaller is the second proportion compared to first?
72 is 8 times bigger than 9, so the second proportion must be 8 TIMES BIGGER
Now, multiply 6*8=x
48=x
So in the end, x is 48.

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A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coin comes up tails? A. 1over3, B.1over4, C.1over6, D.1over12

Answers

Probability of a dice rolling a 4 = 1/6
Probability of a coin coming up tails = 1/2

now we multiply the two probabilities together to find what the probability of BOTH occurring at the same time is.
1/6 × 1/2 = 1/12
Answer is D. 1 over 12

Answer:

D. 1/12 is the answer

Step-by-step explanation:

the probability of rolling a 4 is 1/6, and the probability of flipping tails is 1/2. If you multiply 1/2 and 1/6 you get 1/12.

Help i dont understand this.

Answers

1 * 1 = 1
11 * 11 = 121
111 * 111 = 12321
1111 * 1111 = 1234321
11111 * 11111 = 123454321
111111 * 111111 = 12345654321

the pattern is that with each '1' added, there is another consecutive number added. if there are 3 ones, it I'll go up to 3 and then back down to 1 (111*111=12321)
it is the same like that for every one.

Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 + 4 3 x , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.

Answers

Step-by-step explanation:

The question is not well written. Let us say the function given as expressed as;

f(x) = -1/x + 3/x⁴

f'(x) means we are to differentiate the function with respect to x;

Given f(x) = axⁿ

f'(x) = naxⁿ⁻¹

f(x) = -x⁻¹ + 3x⁻⁴

Applying the differentiation formula we will have;

f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹

f'(x) = x⁻²-12x⁻⁵

Express as a fraction

f'(x) = 1/x²-12/x⁵

To get f'(4), we will have to substitute x = 4 into the resulting expression

f'(4) = 1/4²-12/4(5)

f'(4) = 1/16-12/20

f'(4) = 1/16-3/5

Find the LCM

f'(4) = (5-48)/80

f'(4) = -43/80

Note that the function used was assumed but the same method can be employed to any other functions.

6r+7=13+7r
how do you solve this?

Answers

Simplifying 6r + 7 = 13 + 7r Reorder the terms: 7 + 6r = 13 + 7r Solving 7 + 6r = 13 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 7 + 6r + -7r = 13 + 7r + -7r Combine like terms: 6r + -7r = -1r 7 + -1r = 13 + 7r + -7r Combine like terms: 7r + -7r = 0 7 + -1r = 13 + 0 7 + -1r = 13 Add '-7' to each side of the equation. 7 + -7 + -1r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 13 + -7 -1r = 13 + -7 Combine like terms: 13 + -7 = 6 -1r = 6 Divide each side by '-1'.

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is given in the table. The equation of the line of best fit for this data is y = 47.3 + 0.78x. How many bushels of wheat per acre can be predicted if it is expected that there will be 17 inches of rain?

Answers

Answer:

Step-by-step explanation:

Given: Data is in terms of rainfall (in inches) and Yield of wheat (bushels

per acre)

Equation of Best fit line for 9 year of data is Y = 47.3 + 0.78X

To find: Bushels of wheat per acre when 17 inches of rain expected.

Given problem is of Regression analysis as we are given with best fit line.

From the Equation of Best fir line we can conclude that it is equation of line Y on X because when put value of X we get value of Y.

From Given Data, let say X be Rainfall length and Y be Yield of wheat.

So, to find the Bushels of wheat (yield) when 17 inches of rainfall is expected.

we put value X = 17 in given equation.

⇒ Y = 47.3 + 0.78 × ( 17 )

⇒ Y = 47.3 + 13.26

⇒ Y = 60.56

Therefore, 60.56 bushels of wheat per acre can be predicted if 17 inches of rain is expected.

Assuming x is the rainfall, you simply plug in 17 for x and solve for y.

47.3 + .78(17)
= 47.3 + 13.26
= 60.56

A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude of 41,000 feet. Model the most fuel-efficient altitudes using a compound inequality.