Write a real world situation that could be modeled by the equation 650 + 10m = 60m + 400

Fill in the blanks with two consecutive integers to complete the following inequality.

Alona [7]

Sqrt of 56 is about 7.5

So 6 would be in the first blank and 8 would be in the second blank.

6,7,8 are consecutive

7 0

2 years ago

Read 2 more answers

1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?

gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0

2 years ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

2 years ago

What is 5 divided by 3/4 in simplest form

ValentinkaMS [17]

6 2/3 i hope this helped you c:

5 0

2 years ago

The formula that describes an objects motion is given by s=ut+1/2at^2, where s is the distance traveled, u is the initial veloci

attashe74 [19]

We have the following equation:
s = ut + 1 / 2at ^ 2
Clear a for the equation:
1 / 2at ^ 2 = s-ut
at ^ 2 = 2s-2ut
a = 2s / t ^ 2-2ut / t ^ 2
Rewriting:
a = (2s-2ut) / (t ^ 2)
Answer:
An equation that represents a in terms of other variables is:
C. 2s-2ut / t ^ 2

6 0

2 years ago