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spin [16.1K]
2 years ago
5

The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0

22 + 22 x r = 30

22 x r = 30 - 22

r = 8 : 22

r = +36,36%

r = increase rate

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Complete the parts in each step to find the area of each trapezoid?
Sergio039 [100]

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

$A=\frac{b_{1}+b_{2}}{2} \times h

Step 2: Substitute the given values in the formula.

$A=\frac{7+3}{2} \times 4

Step 3: Add 7 and 3.

$A=\frac{10}{2} \times 4

Step 4: Divide 10 by 2, we get

A=5 \times 4

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

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8 0
3 years ago
A study shows that 78​% of the population of all calculus students consider calculus an exciting subject. Suppose 20 students ar
alexdok [17]

Answer:

0.046145 = 4.6145%

Step-by-step explanation:

We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.

The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22

For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:

C(20,19) = 20!/19! = 20

Probability of 19 students considering calculus to be an exciting subject:

C(20,19) * 0.78^19 * 0.22^1 = 0.039196756

Probability of 20 students considering calculus to be an exciting subject:

C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516

The final probability is:

0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%

Rounding to six decimal places: 0.046145 = 4.6145%

5 0
3 years ago
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0
3 years ago
What is the rate of change of the function?
guajiro [1.7K]

Answer:

-2

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Rise over run

Pick a point and check how much it goes vertically, then divide it by how much it goes horizontally.

5 0
3 years ago
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A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How f
FromTheMoon [43]
In one hour he traced the distance of: 36.15 miles

With one gallon of gas he went: 12.05 miles 

;) There you go! Good Luck!
8 0
3 years ago
Read 2 more answers
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