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2 years ago

Is 1/4 less than 1/10

2 answers:

8 0

1/4 is GREATER than 1/10.

1/4 = 5/20

1/10 = 2/20 The common denominator is 20, so 4 can go into 20 five times, so you multiply the numerator by 5 and do the same with 1/10 but just with 10 so it is 2/20

vaieri [72.5K]2 years ago

5 0

1/4 is equal to 0.25

1/10 is equal to 0.10

so no, 1/4 is not less than 1/10

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Price $24.99 tax rate 5.5 calculate the sale tax

grandymaker [24]

Convert the percent to a decimal (0.055) Now multiply by the price

24.99 • 0.055 = 1.37

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2 years ago

Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x

jeka57 [31]

The correct answer to this question is C. equation, –3

The equation is
y = 9x - 4x^2
y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x =3 ; y = -4

So, based from the table show, the steepest rate of change is C. equation, –3

4 0

3 years ago

The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base

mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height). Let's abbreviate that to A = (1/2)(b)(h). We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

(after multiplying both sides by 2)

A = 273 = b^2 + 8b

which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

-8 ± √1156 -8 ± 17

x = -------------------- = ------------ = 9/2 and -25/2

2 2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0

3 years ago

Organize the following expressions from greatest to least by number of terms: x + 2xyz 9x2yz 18x2 + 5ab − 6y 4x3 + 3x2 − x − 4

makvit [3.9K]

I believe the answer would be 2xyz9x2yz18x2 - 6y4x3 + 5ab - 4. the x canceled itself out.

7 0

3 years ago

Read 2 more answers

A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume tha

swat32

Answer:

The mean number of packages that will be filled before the process is stopped is 50.

Step-by-step explanation:

For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Number of trials expected for n sucesses

Also called inverse binomial distribution, is given by:

$E = \frac{n}{p}$

In which p is the probability of a success in a trial.

Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.

This means that $p = 0.02$

Find the mean number of packages that will be filled before the process is stopped.

This is when $n = 1$ , as the process is stopped when a package is outside the specifications. So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

The mean number of packages that will be filled before the process is stopped is 50.

5 0

2 years ago