Out of 40 students in class 8,20% were absent.How many students were present?​

Answers

Answer 1

Understanding:

The total number of students is 40. 8.20% of them were absent, which means the rest were present, or in other words, (100-8.20)% were present or 91.8%. We can find the actual number of present students by multiplying the percentage of present students by the total number of students.

Solution:

Present Percentage = 91.8% or [tex]\frac{91.8}{100}[/tex]

Present Students = [tex](\frac{91.8}{100})(40)=36.72[/tex], since we are dealing with people we have to round it, so the present students are actually 37.


Related Questions

Find x?
In 3x - In(x - 4) = ln(2x - 1) +ln3

Answers

Answer:

[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Step-by-step explanation:

Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].

Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].

Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:

[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].

[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]

Right-hand side of this equation:

[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].

Equate these two expressions:

[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].

The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:

[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].

Simplify and solve this equation for [tex]x[/tex]:

[tex]x^2 - 5\, x + 2 = 0[/tex].

There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].

However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].

Convert the following repeating decimal into a fraction. *
0.497

Answers

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

PLEASE HELP I WILL MARK BRAINLIST TO WHOEVER ANSWERS FIRST !!
graph the line that represents the equation y=2/3x+1
I HAVE THE PICTURE OF THE GRAPH ABOVE !!

Answers

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

y = 12/3 + 1

y = 4 + 1

y = 5

Point: (6, 5)

x = -6

y = 2/3(-6) + 1

y = -12/3 + 1

y = -4 + 1

y = -3

Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

Which stalement correctly describes the diagram?

Answers

triangel b is a reflection of triangle a the x-axis triangle c

Solve The Equation !
‐5x – 3 < 2x – 18

Answers

Answer:

x>15/7

Step-by-step explanation:

(3, 4) and (5, -8)
a . 6
b . 1/2
c . 1/5
d . -2

Answers

Answer:

If you are looking for the slope, it equals -6

Step-by-step explanation:

(3,4) (5, -8)

[tex]\frac{4+8}{3-5}[/tex] = [tex]\frac{12}{-2}[/tex] = [tex]\frac{6}{-1}[/tex] = -6

Hey there!

The formula to this equation is: y2 - y1 /x2 - x1

• y2 = -8

• y1 = 4

• x2 = 5

• x1 = 3

EQUATION:

-8 - 4/5 - 3

-8 - 4 = -12

5 - 3 = 2

NEW EQUATION: -12/2

-12/2 = your answer

-12 / 2 = -6 because 2 • -6 = -12

Answer that you’re looking for: -6

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Guide to REMEMBER :

- Negative & Negative = Positive

- Negative & Positive = Negative

- Positive & Positive = Positive

- Positive & Negative = Negative

I really need help please asap

Answers

Answer:

[tex]\sqrt{8 m^{6} n^{3}}[/tex]

Step-by-step explanation:

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a

Answers

Answer:

The conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Step-by-step explanation:

The complete question is as follows;

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a=.05?

Solution;

We start by forming the null hypothesis

The null hypothesis H0 here is that;

The mice have not doubled the sizes of their brains after watching the the videos

While the alternative hypothesis H1 is that the mice have double their brain sizes after watching the videos

To know what to conclude, we will need to look at the p-value obtained

The p-value we have here is 0.04 which is less than 0.05 and thus , shows the existence of a strong evidence against the null hypothesis which means we will have to accept the alternative

Hence, the conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

c/4 = -8
c=?
I am very anxious, if you know the answer, please do tell me, thank you.

Answers

the answer it -32.
8 • 4 = 32, you’re trying to find the negative number so add the negative sign and insert it into the equation to check.

Just need answer no explanation

Answers

Answer:

I have no idea, sorry

Step-by-step explanation:

Kaitlin received a $2100 bonus. she decided to invest in a 2 year certificate of deposit with an annual interest rate of 1.13% compounded monthly.

Assuming no withdrawals are made, how much money is in kaitlins account after 2 years?

How much interest is earned on kaitlins investment after 2 years?

Answers

Answer:

interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98

Step-by-step explanation:

you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years

The ratio of boys to girls in the class is 2 to 8, what percent of the class is boys?​

Answers

Answer:a) 20%

Step-by-step explanation: 2× 100/ 8+2

Answer:

20%

Step-by-step explanation:

girls are 80% just so you know

The table shows the results of a random survey about the mayor's performance. The mayor
is running for re-election. A total of 2,400 people are expected to vote in the election. Based
on the data, which is the most likely result?

Answers

Answer:

the mayor will lose in a close race

Step-by-step explanation:

Jack use 25% of the memory card on his digital camera while taking pictures at a family reunions if jack took 96 pictures at a family reunions how many pictures can the memory card hold
PLEASE HELP I NEED THIS ANSWERED

Answers

384 I think yessssssssss

If two sides of a triangle are 7 and 14, the third side may be?

Answers

Nothing above 21...

Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake. Jacob spent 3 hours and 45 minutes fishing, and it took 1 hour and 15 minutes to hike back. What time was it when Jacob got back to camp?

Include A.M. or P.M. in your answer Please help me fast!!

Answers

Answer:

7:15 A.M. 1 hour and 45 min = 105 min3 hour 45 min= 225 min1 hour and 15 min = 105 min105(2)+ 225= 435 min= 7 hours and 25 min. Add that to the original total you get 14:40 P.M

guys help I am stuck on this question I have to send my winter holiday

48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?

Answers

Answer:

16

Step-by-step explanation:

To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.

48: 2 × 2 × 2 × 2 × 3

64: 2 × 2 × 2 × 2 × 2 × 2

Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.

No. of rows in the girls = 48 ÷ 16

                                      = 3

No. of rows in the boys = 64 ÷ 16

                                       = 4

Answer:

Step-by-step explanation:

I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64

HCF - Highest Common Factor

GCF - Greatest common Factor

First, prime factorize 48 and 64 (write them in the product of their prime numbers)

64 = 2 × 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

Choose common prime factors (all of them that are common)

on observation, there is 2 × 2 × 2 × 2 common between both of them

which is 16.

So 16 maximum people in each row

Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.

But anyway, hope that helps ^


evaluate (12÷x)+3^2 when x =4​

Answers

Answer:

12

Step-by-step explanation:

12/4=3

3^2=9

3+9=12

Can a wheel make 72 revolutions per minute

Answers

Answer:

no,i don't think about it

Compare the scores: a score of 75 on a test with a mean of 65 and a standard deviation of 8 and a score of 75 on a test with a mean of 70 and a standard deviation of 4.

Answers

Answer:

The Zscore for both test is the same

Step-by-step explanation:

Given that :

TEST 1:

score (x) = 75

Mean (m) = 65

Standard deviation (s) = 8

TEST 2:

score (x) = 75

Mean (m) = 70

Standard deviation (s) = 4

USING the relation to obtain the standardized score :

Zscore = (x - m) / s

TEST 1:

Zscore = (75 - 65) / 8

Zscore = 10/8

Zscore = 1.25

TEST 2:

Zscore = (75 - 70) / 4

Zscore = 5/4

Zscore = 1.25

The standardized score for both test is the same.

What is the reason for each step in the solution of the equation?
-6x = -2(a + 12)
Match the reason with the correct step in the equation.

Answers

Distributive property

PLS HELP will give brainliest answer both

Answers

Answer:

8 3/5

false

Step-by-step explanation:

Ayuda por favorrr lo necesito yaa

Answers

25 bababooey bababooey

there are 18 boys and 46 girls in a class. 87.5% of the students in the class take the bus to school. How many students do nnot take the bus to school?

Answers

I agree it’s 8% hope this helps :)

9,240 yd= how many mi?

Answers

Answer:

5.25 miles

Step-by-step explanation:

Answer:

There is 5.25 miles in 9,240 yards

Step-by-step explanation:

1 mile is equal to 1760 yards, so the equation would be

9240/1760 = 5.25

30% of the presents under the
tree were for Tammy. If there
were 20 presents under the
tree, how many presents did
Tammy get?

Answers

Answer:

6

Step-by-step explanation:

In Sam’s art class, 12% of the Flag Day art projects received a perfect score. There were 25 art projects turned in by Sam’s class. How many of the art projects did not earn a perfect score?
need a good answer, lots of details

Answers

Answer:

22 projects did not receive a perfect score

Step-by-step explanation:

12% or 25 is 3, meaning 3 got perfect scores. You would subtract 3 from 25 to get the amount of projects that didnt get a perfect score.

Answer:

52%

Step-by-step explanation:

25 x 4 =100

12 x 4 =48

100-48=52

What's the right answer please

Answers

Answer:

2

Step-by-step explanation:

a>0 is maximum value of f

PLEASE HELP DUE AT 8:30 A.M. I WILL MARK BRAINLIEST! Thank you

Choose the correct solution to the equation:

1. 7B+ 4= 7B - 3
A. No Solution
B. Infinitely Many Solutions
C. One Solution

2. 2C-5=8C+7
A. No Solution
B. Infinitely Many Solutions
C. One Solution


3. 5A+7=3A+7+2A
A. No Solution
B. Infinitely Many Solutions
C. One Solution

Answers

Answer:

1. no solution

2. one solution

3. infinitely many solutions

Step-by-step explanation:

1. 4= -3

false

2. -5=6c+7

2=6c

c=3

3. 5a+7=5a+7

true

Answer:

No solution

One solution

Infinite number of solutions

Step-by-step explanation:

I need the answer to this test question. We were assigned to correct our test for homework. I cannot think of another solution to this problem, please help.

Answers

Answer:

angle 1 = 70 degree and angle 2=95 degree

Step-by-step explanation:

for the first angle

180 -70 = 110

and 180-110 = 70 ( opposite angles )

for the second angle

180-85 =95

and again 180-95 =85(opposite angles)

180-85=95 (the straight line property)

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