Answers
Answer:
47.5% of students fall within heights of 100 cm to 120 cm
Step-by-step explanation:
We are given that heights of Grade 1 students are normally distributed
Mean = [tex]\mu = 100 cm[/tex]
Standard deviation = [tex]\sigma = 10 cm[/tex]
a)
Empirical rule
68% of data lies within the first standard deviation from the mean i.e[tex].(\mu-\sigma , \mu+\sigma)=(100-10,100+10)=(90,110)[/tex]
95% of all the data will fall within two standard deviations i.e.[tex](\mu-2\sigma , \mu+2\sigma)=(100-2(10),100+2(10))=(80,120)[/tex]
99.7% of data lies within the three standard deviations i.e.[tex]( \mu - 3 \sigma , \mu +3 \sigma)=(100-3(10),100+3(10))=(70,130)[/tex]
b)Percentage of students fall within heights of 100 cm to 120 cm
Using the normal distribution curve
Percentage of students fall within heights of 100 cm to 120 cm = [tex]\frac{1}{2} \times 95\% = 47.5\%[/tex]
Hence 47.5% of students fall within heights of 100 cm to 120 cm
Related Questions
HELP ASAP!!!!
If the point (x, V3/2)
is on the unit circle, what is X?
Answers
Answer:
its 1/2
Step-by-step explanation:
please correct me if im wrong
What is the greatest common factor of 4x5y2+16x3y4−8x6y3?
Answers
Answer:
4x^3y^2
Step-by-step explanation:
Then the remaining would be
x^2+4y^2-2x^3y
Answer:
4x^3y^2
Step-by-step explanation:
Please refer to the picture attached.
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, what inequality represents m, the distances in miles he can travel in the taxi?
Answers
Answer:
1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
D. m≤28
Step-by-step explanation:
Just trust me my friendings
What is the range of y = sin θ ? A. [–1, 1] B. [0, ∞) C. all real numbers D. 2π
Answers
Answer:
A. [–1, 1]
Step-by-step explanation:
The range is the values that the output can take
The values that sin can take go from -1 to 1 inclusive
Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly. A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent. B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.
Answers
Answer:
a) I (interest) = $ 20,311.62
b) ≈ 8.03%
A = $ 44,061.62
A = P + I where
P (principal) = $ 23,750.00
I (interest) = $ 20,311.62
A = $ 44,061.62
____________________________________
A = $ 43,959.59
A = P + I where
P (principal) = $ 23,750.00
I (interest) = $ 20,209.59
Step-by-step explanation:
Which equation best matches the graph shown below
Answers
Which line segment could be mid segment of abc? 21 points!!!!
Answers
Answer:
DF
Step-by-step explanation:
the mid segment is a line that connects the midpoints.
Answer:
DF or option 3
Step-by-step explanation:
DF, since it connects midpoints of sides AB and CB and is parallel to one side: AC
Thus the answer is DF or option 3
Simplify. 5y(4x-3z)
Answers
Answer:
20xy-15yzOption D is the right option.
Solution,
[tex]5y(4x - 3z) \\ = 5y \times 4x - 5y \times 3z \\ = 20xy - 15yz[/tex]
hope this helps...
Good luck on your assignment...
Answer:
D is the answer.
Step-by-step explanation:
Using distribution you can simplify this.
5y(4x - 3z) =
20xy - 15yz
In 2005 a house was purchased for $280,000 and
in 2013 it was sold at $334,000. Assuming that
the value of the house increased at a constant
annual rate what will be the price of the house in
the year 2018?
Answers
Given that in 2005 a house was purchases for 280,000 and was later sold in 2013 for 334,000, determine the increase value of the house and what the price of the house will be in 2018.
First, we subtract the two values of the house on both dates.
334,000 - 280,000 = 54,000
Then, divide the difference by the amount of years from 2005 to 2013.
54,000/8 = 6,750
Since, it says the value increases at a constant rate, this indicates that it is a linear function.
So, the linear function would start at 280,000 as the y-intercept and the slope is 6,750.
Linear Function: y = 6750x + 280,000
Lastly, to find the price of the house in 2018, we just need to plug in 13 for x since x represents the years.
y = 6750x + 280,000
Plug in 13 for x.
y = 6750(13) + 280,000
y = 87750 + 280,000
y = 367,750
Thus, the value of the house in 2018 is $367,750.
y = 4r - 9
Complete the missing value in the solution to the equation.
(3, )
Answers
Substitute the value of x=3 into the equation
y= 4(3) -9
y= 12-9 subtract
y=3
Answer (3,3)
Answer:
3
Step-by-step explanation:
Equation given = y=4r-9
substitute r=3
y=4*3-9
y=12-9
y=3
(3,3)
Select the best answer for the question.
15. Solve the inequality. Write the solution set in interval notation.
Answers
Answer:
answer is the first one
Answer:
A.
[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]
Step-by-step explanation:
Inequality given:
[tex]11\leq 6(n+4)-4n[/tex]
[tex]11\leq 6n+24-4n[/tex]
[tex]11\leq 2n+24[/tex]
[tex]11-24\leq 2n+24-24[/tex]
[tex]-13\leq 2n[/tex]
[tex]$\frac{-13}{2} \leq n$[/tex]
Interval Notation:
[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]
We have:
[tex]$\{n \in \mathbb{R}:n\geq \frac{-13}{2} \}$[/tex]
Which equation has only one solution?
Answers
Answer:
last option x would =.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
gay
help please asapviv now
Answers
Answer:
[tex]46 {in}^{2} [/tex]
First answer is correct.
step by step explanation is attached to the answer.
hope this helps
brainliest appreciated
good luck! have a nice day!
An orange juice can has a diameter of 4 inches and a height of 7 inches. The curved surface of the can is painted orange. How much paint is needed? Round your answer to the nearest tenth.
Answers
Answer: 88 in2
Step-by-step explanation:
The side of the can, which when "unrolled" is a rectangle, with width = height of the cylinder (7 in); and length = Circumference = 2π radius
Surface area of the curved surface of the can = 2π (diameter/2) x height
Replacing with the values given:
S = 2π (4/2) x 7 = 2π (2) x 7 = 88 in2
Feel free to ask for more if needed or if you did not understand something.
Solve the equation, 2x + 1 = 3, for x. Which of the following properties of equality did you apply? Question 8 options: A) Subtraction and multiplication B) Addition and division C) Addition and multiplication D) Subtraction and division
Answers
Answer:
2x+1=3
2x=3-1
(Subtraction)
x=1
(Division)
(subtract and divide)
subtraction and division
Jerold takes out a 60-month loan for $21,500. At a 1% interest rate, what is his monthly payment?
use Amortization formula:
a) $295
b) $315
c) $321
d) $368
Answers
Answer:
D
Step-by-step explanation:
Can someone help me with this question?
Answers
Answer:
Answer is D
Step-by-step explanation:
$12 x 4 = $48
$68 - $4 = $20
Y= $20(her bonus)
X= 4
20(y) - 68 = 12(x - 4)
Linda is building steps for her porch. What is the volume of the steps?
144,000 cm3
288,000 cm3
324,000 cm3
540,000 cm3
Answers
Smaller rectangle:
L x W x H
120 x 30 x 30 = 108000
Taller rectangle:
L x W x H
120 x 30 x 60 = 216000
216000 + 108000 = 324, 000 cm3
Answer:
Step-by-step explanation:
upper block:
length (l) = 120 cm
Width (w) = 30 cm
Height (h) = 60 cm
Volume of upper block = l * w * h
= 120 * 30 *60
= 216,000 cm³
Lower Block
l = 120 cm
w = 30 cm
h = 30 cm
Volume of lower block = 120 * 30 * 30
= 108,000 cm³
Volume of steps = 216,000 + 108,000 = 324,000 cm³
Someone can u please help me, ill give u 25 points, :D
Answers
Answer:
I am pretty sure that it is the bottom left answer.
Step-by-step explanation:
Answer:
it would've been A the first one
39 calls in 6.5 days is ______ calls per day? *
Answers
Answer:
39/6.5=6 calls per day
Answer:
6
Step-by-step explanation:
6 ( 6.5)= 39
Help me out with this question look at the picture
Answers
Answer:
B.
Step-by-step explanation:
The dots are completely random.
Help plz
Find the volume of the rectangular prism.
length = 5 1/4 inches
Width = 2 1/2 inches
Height = 2 inches
Answers
Answer:
Step-by-step explanation:
length = 5 1/4 = 21/4 inches
Width = 2 1/2 = 5/2 inches
Height = 2 inches
Volume of rectangular prism = length * width * height
[tex]= \frac{21}{4}*\frac{5}{2}*2\\\\= \frac{21}{4}*5\\\\=\frac{105}{4}[/tex]
= 26.25 cubic inches
Answer:
26 1/4 i think
Step-by-step explanation:
5 1/4 times 2 1/2 times 2 is 26 2/8 but then you simplify it and you get 26 1/4
In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the range?
Answers
Answer:
Range: 12
Step-by-step explanation:
65, 66, 67, 68, 71, 73, 74, 77, 77, 77
Formula:
Range: highest value - lowest value = final answer
Range: 77 - 65 = 12
HELP ME PLEASSEE!!! ASAP!!!!!!!
Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of receiving money, Mindy would like a $12 pizza, including 5 percent sales tax. Is this a fair trade? Explain how to find the solution. Please answer quickly!! I have seen many other answers to this question, however, I don't see anybody who answered the sales tax. What does the sales tax mean??? Do you add it to the $12 pizza???
ASAP PLEASE!!!
Answers
Now if the 15% commission was it, it would be 2.25$, leaving 12.75$ after.
So it wasn’t multiple choice, but if mindy gets a pizza, that’d be losing 0.15$ each time instead of paying commission
I suck at math tho
HELP ASAP PLEASE I WILL GIVE YOU THE POINTS !!
What is the area of this polygon?
Enter your answer in the box.
Answers
Answer:
51 units2
Step-by-step explanation:
42 + 9 = 51 units2
If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
Answers
Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Where r = radius of the sphere = [tex]\frac{x}{2}[/tex] units
36π = [tex]\frac{4}{3}\pi (\frac{x}{2})^{3}[/tex]
36π = [tex]\frac{4x^{3}\pi }{24}[/tex]
36×24 = 4x³
x = [tex]\sqrt[3]{\frac{36\times 24}{4} }[/tex]
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
A bike that you really want is on sale of 15% off... If it is normally $83.99, how much would it now that it is on sale?
Answers
Answer
$71.4Step-by-step explanation:
[tex]83.99 \times \frac{15}{100} \\ = 12.59[/tex]
Now let's find the new price of the bike.
[tex]83.99 - 12.59 \\ = 71.4 \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
can sales found in newspapers or online be referred to as offers?
Answers
Answer:
Yes
Step-by-step explanation:
Only if its sold by a person and not a company, most people refer to that as an offer.
Answer:
Yup, it can
Step-by-step explanation:
In newspapers or online people do many offers/sales to get you to buy something. For example, let's say you see Gardening Services, that would be considered as an offer, because the salesperson or company is selling you something. Online, you could be sold offers as well, like a new phone, a house, etc.
Hope this helps
In Pennsylvania, the state sales tax is 6%. A book costs $11.50 and a video game costs $65. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
A.$4.59
B.$3.90
C.$3.21
D.$0.69
Answers
Answer:
The answer is $4.59
Step-by-step explanation:
You have to add the two prices, divide by 100, and multiply by 6
4(1 - x) + 3x = - 2(x + 1)
Answers
Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer:
x=-2
Step-by-step explanation:
4 - 4x + 3x=-2x -2
4 -1x=-2x -2
4= -1x -2
2=-1x
x=-2