Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9 Calculate the standard deviation.
The standard deviation of the grade points average of the college seniors is 0.57.
The given parameters:
3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9
The sum of the given data is calculated as follows;
∑x = 3.2 + 1.9 + 2.7 + 2.4 + 2.8 + 2.9 + 3.8 + 3.0 + 2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9
∑x = 53.3
The mean of the distribution is calculated as follows;
[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]
The square of the difference between the grade point and the mean;
[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]
The standard deviation of the grade points is calculated as follows;
[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]
Thus, the standard deviation of the grade points average of the college seniors is 0.57.
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Help find the value X
Answer:
x=61
Step-by-step explanation:
2x-6+x+3=180
3x-3=180
3x=183
x= 61
Hey, I just have one question, what is 8y −5 < 3?
Answer:
y < 1
Step-by-step explanation:
In order to solve this inequality, we must isolate the y variable.
First add 5 on both sides of the inequality sign:
Now you have 8y < 8.
Then divide by 8 on both sides, to get y alone:
Now you have y < 1.
Hope this helps you :)
Subtract 95 800 by 28 766 ?
please please please help!!
Answer: 95,800 - 28,766 = 67,034
Step-by-step explanation: hope this helps :)
Match the expression to the method needed to evaluate (will give brainlest)
Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
The expressions are matched to the method needed to evaluate as shown below.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The first expression is 5³ × 5³.
Multiplication rule of exponents states that,
xᵃ × xᵇ = xᵃ⁺ᵇ
That is we add the exponents.
So, 5³ × 5³ = 5³⁺³ = 5⁶
The next expression is (7²)³.
We have the rule, (xᵃ)ᵇ = xᵃᵇ
So, here, multiply the exponents.
(7²)³ = 7⁶
(4x³)⁵
We can write it as,
(4x³)⁵ = 4⁵ . (x³)⁵
That is write is as product of the powers.
Division rule of exponents states that,
xᵃ / xᵇ = xᵃ⁻ᵇ
6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴
So, subtract the exponents.
Hence the expressions are matched.
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What is the equation of the line?
Y= 1/2x + 2
Y= 2x + 2
Y= 2x - 4
Y = 1/2x - 4
Answer:
y=1/2x+2
Step-by-step explanation:
f(x) = x2. What is g(x)?
Answer:
the answer is A. g(x) = -x^2 - 4
Step-by-step explanation:
hope this helps! :)
Pls help I’m failing I’ll brainlest and add extra points ASAP help with both
Answer:
The slope of the one of the top is -1/4
The slope of the one on the bottom is 1/6
Step-by-step explanation:
The one on the top goes down by 1 (negative) and goes 4 to the right (positive), which can be written as -1/4, which is the slope.
The one on the bottom goes up by 1 (positive) and goes to the right by 6 (positive), which can be written as 1/6, which is is the slope.
The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?
Answer:
49 feet
Step-by-step explanation:
twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.
Create your own example for each cases of multiplying
polynomials With complete solution
Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial
Pls needed badly
If you have nothing to answer dont answer
let x represent the larger number4x+(x-2)^2=16
I have no clue I just need the points have a good day tho :)
The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.
Consider a group of 800 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 6 pounds?
3. How many would you expect to weigh more than 5 pounds?
4. How many would you expect to weigh between 5.5 and 9 pounds?
Please help and STEP BY STEP PLZ.
Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule
X = 5.5 + 1.6 Z
or
Z = (X - 5.5)/1.6
then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.
1.
Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]
… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]
… ≈ 0.8818
Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.
2.
Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]
… = Pr[Z ≤ 0.3125]
… ≈ 0.6227
Out of 800 babies, around 498 will weigh less than 6 pounds.
3.
Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]
… = Pr[Z > -0.3125]
… ≈ 0.6227
same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.
4.
Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]
… = Pr[0 ≤ Z ≤ 2.1875]
… ≈ 0.4857
Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.
mr karki divides a sum of Rs 180000 between his son and daughter in the ratio of 4:5 find the sum obtained by each of them
Answer:
Step-by-step explanation:
Sorry no one answered your question sooner. First Let x = what the daughter receives
Then 180000 - x is what the son will receive. Notice that if you add these together you get the total, 180000. You write a proportion and cross multiply to solve. Since x = 80000, the son will receive 80000. The daughter will receive 100000.
For A = {B, C, D} and B = {A, E, I, O, U}, which set is empty?
Answer:
B is empty
Step-by-step explanation:
8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
Math temperature question
Answer:
-10.9
Step-by-step explanation:
Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.
Divide -65.4 by the count of the numbers. (6)
Simplify.
4x + 2(x + 5) + 1
A) 6x + 6
B) 4x + 8
C) 6x + 11
D) 5x + 8
Answer:
C is your answer for your question
what is a measurement for the angle pictured
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3
Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
What is correct answer For this problem
The table shows how the length of a fish changes over time.
Which equation represents the relationship between x, the time in years, and y, the length in centimeters?
Question options:
x = 4.5y
x = 9y
y = 4.5x
y = 9x
Answer:
C. y=4.5x
Step-by-step explanation:
divide y by x
Help me out Ik you love Algebra as much as I do
Answer:
pop
yes no total
country yes 11 38 49
no 43 8 51
total 54 46 100
Hope you understand this haha
The answer is in the file. Hope it helps.
Name:
Unit 4: Congruent Triangles
Date:
Per: :
Homework 1: Classifying Triangles
H
** This is a 2-page document!
Directions: Classify each triangle by its angles and sides.
1.
2.
73
15.6 m
73°
349
14,4 m
6 m
3.
7 in
123
4.
3 mm
10 in
15 in
3 mm
3 mm
5.
6.
34 m
34 m
2011
72
17
177
489
48 m
60
22 it
7.
8.
600
20
24 in
604
15 in
106
15 in
O
16.
Step-by-step explanation:
is it like this ? no diagrams ?
-3, 9, -27, 81 find the next term
Answer: The next term is -243.
Answer:
-243
Step-by-step explanation:
The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.
Help w exponential functions pls
Answer:
Step-by-step explanation:
"end behavior" means what the is graph doing if you keep going off the page.
The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.
So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.
which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)
Answer:
B
Step-by-step explanation:
HELP ME PLS
Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.
Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)
Answer:
i think its 1/2
Step-by-step explanation:
Answer:
A. 1/2
1 over 2 is equal to 1/2
B. 1/2 Batch
Item 1 Ethan used 1 3 of a liter of milk to make 1 9 of a jug of tea. How much milk is required to fill the jug?
Answer:
3 liters
Step-by-step explanation:
A club has members from three grades.
It has 36 members from sixth grade, 24 members from seventh grade, and 30 members from eighth grade.
What is the ratio of the club's seventh graders to eighth graders?
the ratio is 24:30
or the simplified version is 4:5
The point (5, -3) is a solution to which system?
A.
y = x - 8
2x + y = 7
B.
y = x + 5
y = x - 3
C.
y = x - 5
y = x + 3
D.
y = x - 8
-2x + y = 7
Answer:
A
Step-by-step explanation:
Did the test