Answers
Answer:
1. 25,000+1000x
2. 19,000+1500x
3. 25000+1000x>19000+1500x
Step-by-step explanation:
For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).
For the 2nd one, it is the same concept as the first one.
For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.
Hope this helps!
Related Questions
Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?
Answers
Answer:
1. 3 + 4x
2. 8/ x-y
3. X/2y
4. Four times a number m
5 let m represent months
30 + 12m
Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Answers
Answer:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Step-by-step explanation:
[tex]2x - 5 \le -x +12[/tex]
[tex]2x - 5 +5\le -x +12+5[/tex]
[tex]2x\le -x+17[/tex]
[tex]3x \le17[/tex]
[tex]$x \le \frac{17}{3} $[/tex]
We have
[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]
Interval notation:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
ASAP PLZZZ Find the area of the shaded polygons:
Answers
Step-by-step explanation:
You can use the Pick's theorem:
[tex]A=i+\dfrac{b}{2}-1[/tex]
where
i - number of lattice points in the interior located in the polygon
b - number of lattice points on the boundary placed on the polygon's perimeter
[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]
Answer:
Of course, the Pick's theorem is the way to solve this question, but consider:
Another approach is using topography:
Gauss's Area Calculation Formula:
[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]
Taking the purple one:
We have 6 points. I will name them:
[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]
[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]
[tex]D=28-8=20[/tex]
[tex]$A=\frac{20}{2} =10$[/tex]
Find the partial sum of the first 4 terms of the series:
5n + 2
n=1
60
58
85
None of these
Answers
Answer:
[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to compute the following:
[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.
Answers
Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
Answer:
12, 12 and 10 cm.
Step-by-step explanation:
6 + 6 + 5 = 17
So one side = 6/17 * 34 = 12 cm
One other side is also 12 cm
The third side = 5/17 * 34 = 10 cm.
One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?
Answers
Answer:
28°F
Step-by-step explanation:
We can find the change in temperature by subtracting 44 from 72:
72 - 44 = 28
So, the change in temperature was 28°F
Reason being is when you would like to find the difference between 2 numbers, you take the larger one and subtract it by the smaller, thus giving you how far apart they are
In this case 72°-44°=28°
Complete the point-slope equation of the line through ( − 1 , − 10 )and (5 , 2) y-2 =?
Answers
Answer:
y - 2 = 3(x - 5).
Step-by-step explanation:
We need to find the slope of the line.
[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2
So, y1 = 2, x1 = 5, and m = 2.
y - 2 = 3(x - 5)
Hope this helps!
The formula for point slope is written as y - y1 = m(x -x1)
You are given y - 2 = ?
Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1
The formula becomes: y-2 = m(x-5)
Now solve for the slope, which is the change in y over the change in x:
Slope = -10 - 2 / -1 - 5 = -12/-4 = 3
Now replace m to get y-2 = 3(x-5)
50 POINTS!! Drag each label to the correct location on the image. Not all labels will be used. The values of a, b, and c in scientific notation are 3.47 × 10-6, 4.61 × 107, and 5.52 × 107, respectively. Complete the following sentences. Round so the first factor goes to the hundredths place. a*b a/b c/a 1.60 16.0 × 101 1.60 × 102 1.59 × 1013 0.75 × 10-13 7.53 × 10-13 7.53 × 10-14 1.59 × 101
Answers
Answer:
[tex]\boxed{a*b = 1.60 * 10^2}[/tex]
[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]
[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]
Step-by-step explanation:
a = [tex]3.47 * 10^{-6}[/tex]
b = [tex]4.61 * 10^7[/tex]
c = [tex]5.52*10^7[/tex]
Finding a*b:
a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])
= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])
When bases are same, powers are to be added
= 15.997 * [tex]10^{-6+7}[/tex]
= 15.997 * [tex]10^1[/tex]
= 159.97
Rounding it off
=> 1.60 * 10²
Finding a/b:
=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]
Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> 0.753 * [tex]10^{-6-7}[/tex]
=> [tex]7.53*10^{-1}*10^{-13}[/tex]
=> [tex]7.53 * 10^{-1-13}[/tex]
=> 7.53 * 10⁻¹⁴
Finding c/a:
=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]
=> 1.59 * [tex]10^{7+6}[/tex]
=> 1.59 * 10¹³
Answer:
a × b = 1.60 × 10^2
a/b = 7.52 × 10^-14
c/a = 1.59 × 10^13
Step-by-step explanation:
a = 3.47 × 10^-6
b = 4.61 × 10^7
c = 5.52 × 10^7
Solve a × b
(3.47 × 10^-6) × (4.61 × 10^7)
When bases are same in multiplication, we add the exponents.
15.9967 × 10^1
Decimal point is after first non-zero digit. Round to hundredths.
1.60 × 10^2
Solve a/b
(3.47 × 10^-6)/(4.61 × 10^7)
When bases are same in division, subtract the exponents.
3.47/4.61 × 10^-14
0.75271149674 × 10^-14
Decimal point is after first non-zero digit. Round to hundredths.
7.52 × 10^-14
Solve c/a
(5.52 × 10^7)/(3.47 × 10^-6)
When bases are same in division, subtract the exponents.
5.52/3.47 × 10^13
1.59077809798 × 10^13
Round to hundredths.
1.59 × 10^13
The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).
Answers
Answer:
P=2x +2y
2x=2y-p
As given that 2x=2(10)+88
x=108/2
x=54cm
May be it's help you;)
Answer:
The length of each of the two equally long sides is 26 cm
The length of the longer side is 36 cm
Step-by-step explanation:
Let the length of each of the two equal sides be represented by x
The other side = 10 + x
Perimeter of triangle (P) = sum of all sides of the triangle
88 = x + x + 10 + x
88 = 3x + 10
3x = 88 - 10
3x = 78
x = 78/3 = 26
Length of each of the two equally long sides (x) = 26 cm
Length of the longer side = 10 + x = 10 + 26 = 36 cm
The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25
Answers
Answer:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
Step-by-step explanation:
For this case we have the following data given
Week 1 2 3 4
Minutes 190 163 327 205
For this case we can find the mean with the following formula:
[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]
The reason is because we assume that each week have the same weight and replacing we got:
[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]
And the best option would be:
D. 221.25
Write an equation that expresses the relationship. Then solve the equation for u. B varies directly as the cube of t and inversely as u
Answers
Answer:
Below
Step-by-step explanation:
B varies directly with the cube of t so:
● B = t^3
B varies inversly as u
● B = 1/u
Let's solve the equation for u:
B= 1/u = t^3
● B= 1/u
Switch u and B
● u = 1/B = 1/t^3
If u is 1 then b and t are also 1.
Which equation gives the length of the altitude of ABC?
Answers
Answer:
B. AD = sqrt(CD * BD)
Step-by-step explanation:
By the right triangle altitude theorem,
CD/AD = AD/BD
AD^2 = CD * BD
AD = sqrt(CD * BD)
Answer: B. AD = sqrt(CD * BD)
Answer:
B
Step-by-step explanation:
[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]
[tex]AD^2=CD \cdot BD[/tex]
[tex]AD=\sqrt{CD \cdot BD}[/tex]
In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.
Using Pythagorean theorem:
[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]
Also,
[tex]AD=AC\sin(c)[/tex]
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25
Answers
Answer: D is correct if it is really (5.5-3.25)w=35.25
(Without parenthesis it doesn't work)
Answer:
B) 5.5 w - 3.25 = 35.25
Step-by-step explanation:
Chad charges $5.50 per window. ( 5.50w )
Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)
The customer would be charged $35.25 at the end. ( = 35.25 )
So, the total of the cost of the windows minus the discount would be $35.25.
5.50w - 3.25 = 35.25
Option B's equation would be most appropriate to solve for w.
A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form
Answers
Answer:
Step-by-step explanation:
Slope intercept form : y - y1 = m(x -x1)
m = 3/2
(x1, y1) = (6, 1)
[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]
Answer:
y=3/2 x -8
Step-by-step explanation:
The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got
y=3/2x-8
determine which function has the greatest rate of change as x approaches infinity
f(x)= 2^x- 10
g(x)=16x-4
h(x) = 3x^2-7x+8
there is not enough information to determine the answer
Answers
Answer:
f(x)= 2^x-10
Step-by-step explanation:
Exponential functions are ALWAYS greater in the long run!
Answer:
A) f(x) = 2^x − 10
Step-by-step explanation:
I graph all of these functions and f(x) = 2^x − 10 surpasses the other two functions. Exponential growth functions always exceed linear growth functions over time.
2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that represents
the maximum number of toppings you can order if you want to spend at most $8.50.
Define variable:
Equation:
Solution:
can someone check my work? ty!!
Answers
Answer:
Hey there!
Define Variable: Let t be the number of toppings
Equation : You are correct
Solution: You are also correct.
Nicely done!
Hope this helps :)
Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.
Answers
Answer:
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
x - 3y=1
7x+2y=7
Jerry's way of solving the equation
2y=7-7x
Divide both sides by 2
2y/2=7-7x/2
y=7-7x/2
Substitute y=7-7x/2 into (2)
7x+2y=7
7x+2(7-7x/2)=7
This is a complex way of solving the equation
Max's proposed efficient way
x - 3y=1 (1)
7x+2y=7 (2)
From (1)
x=1+3y
The reason Max will give is:
The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Substitute x=1+3y into (2)
7x+2y=7
7(1+3y)=7
7+21y=7
Divide through by 7
1+y=7
y=7-1
y=6
Is the efficient way that Max proposed
Answer:
A
Step-by-step explanation:
Brainliest?
ΔPQR is located at P (−3, −3), Q (0, 0), and R (3, −3). Which statement correctly classifies ΔPQR?
Answers
Answer:
Isosceles Triangle
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day. :D
Answer:
ΔPQR is an isosceles triangle.
Step-by-step explanation:
3x2 +4=0 whats the answer?
Answers
Answer:
False
Step-by-step explanation:
3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
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Lets do this step by step.
Simplify [tex]\frac{3x - 2}{x} -4[/tex].
To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]
[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]
Combine -4 and [tex]\frac{x}{x}[/tex].
[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]
Combine the numerators over the common denominator.
[tex]\frac{3x - 2 -4x}{x} > 0[/tex]
Subtract 4x from 3x.
[tex]\frac{-x -2}{x} > 0[/tex]
Factor -1 out of -x.
[tex]\frac{-(-x) -2}{x} >0[/tex]
Rewirte -2 as -1 (2).
[tex]\frac{-(x -1 (2)}{x} > 0[/tex]
Factor -1 out of - (x) - 1 (2).
[tex]\frac{-(x + 2)}{x} >0[/tex]
Simplify the Expression.
_______________
Rewrite - ( x + 2 ) as -1 ( x + 2 ) .
[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]
Move the negative in front of the fraction.
[tex]- \frac{x + 2}{x} > 0[/tex]
Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0 and solving.
[tex]x = 0\\x + 2 = 0[/tex]
Subtract 2 from both sides of the equation.
[tex]x = -2[/tex]
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
[tex]x = 0 \\x = -2[/tex]
Consolidate the solutions.
[tex]x = 0, -2[/tex]
________________
Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]
_________________
Set the denominator in [tex]\frac{3x - 2}{x}[/tex] equal to 0 to find where the expression is undefined.
[tex]x = 0[/tex]
The domain is all values of x that make the expression defined.
( - ∞, 0 ) ∪ ( 0 , ∞)
Use each root to create test intervals.
[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]
|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|
Test a value on the interval -2 < x < 0 to see if it makes the inequality true.
Ans : True
Test a value on the interval x > 0 to see if it makes the inequality true.
Ans : False
Test a value on the interval x < -2 to see if it makes the inequality true.
Ans : False
Compare the intervals to determine which ones satisfy the original inequality.
[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]
The solution consists of all of the true intervals.
[tex]-2 < x < 0[/tex]
The result can be shown in multiple forms.
Inequality Form: [tex]-2 < x< 0[/tex]
Interval Notation: [tex]( -2 , 0 )[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
five sixths of a number equals 200. What is the number?
Answers
Answer: 240
Step-by-step explanation:
5/6x=200
(6/5)5/6x=200(6/5)
1x=40(6/1)
x=40(6)
x=240
what is the area of 1/4 of a circle with a radius of 10
Answers
Answer:
78.5
Step-by-step explanation:
It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5
The area of 1/4 of a circle with a radius of 10 is 78.5 units²
Given,
1/4 of a circle.
Radius = 10
π = 3.14
We need to find the area of 1/4 of a circle.
What is the area of a circle?It is given as:
Area = πr²
Find the area of 1/4 of a circle.
We have,
Area of a circle = πr²
Radius = 10
1/4 area of a circle:
= 1/4 x πr²
= 1/4 x 3.14 x 10²
= 1/4 x 3.14 x 100
= 78.5 units²
Thus the area of 1/4 of a circle is 78.5 units²
Learn more about finding the circumference and area of a circle here:
https://brainly.com/question/14966973
#SPJ6
HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!
Answers
Answer:
so u could write about its teeth
Step-by-step explanation:
and its legs or its scary presence or its long arms and it erupted from a haunted house
hope this helps : )
i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest
the population of weston is 4320. the towns records shot that 45% of the population are males, and 2/3 of these males are married. how many males in weston are married?
Answers
Answer:
1296 males
Step-by-step explanation:
Males in Weston: 4320*0.45 = 1944
Married Males in Weston: 1944*2/3 = 1296
Answer:
Answer is 1296 (For me if I add commas it would mark my answer wrong)
Step-by-step explanation:
Algebra help needed
Answers
Answer:
The ball will reach the ground when h=0.
Set the equation equal to 0.
[tex]0=-8(2 t-4)(t+1)[/tex]
[tex]t=-1,2[/tex]
Step-by-step explanation:
The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation
[tex]h=-8(2 t-4)(t+1)[/tex],
where h is the height in feet and t is time in seconds.
When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.
To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.
[tex]h=-8(2 t-4)(t+1)[/tex]
[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]
Solve the equation using the Zero Product Property.
[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]
[tex]t+1=0\Rightarrow t=-1[/tex]
So, [tex]t=-1,2[/tex]
helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answers
Answer:
the data are skewed, D.
Step-by-step explanation:
In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women
Answers
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman
Hope this helps :D
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Answers
Step-by-step explanation:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Answer:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Step-by-step explanation:
this was correct
The baker makes54 biscuits in the morning. Then he makes 26 more in the afternoon.
Answers
Answer:
80 biscuits
Step-by-step explanation:
The question is not a whole question so I am just assuming that the question is how many biscuits were baked the whole day
Hope this helps :)
About how much money would 18 pounds of cheese cost if the price is $3.95 per pound? Use two different ways to estimate the product. Are your estimates overestimate or underestimate? Explain.
Answers
1. this way is overestimating
assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds
2. his way is overestimating
assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar
this is overestimating because you're raising the price of the cheese by 5 cents.
Answer: 71.1
Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful
PLEASEE HEEELP! In the normal distribution, 68% of the data lies within 1 standard deviation A: __/6 of the mean, 95% of the data lies within 2 standard deviations of the mean, and 99.7% of the data lies within 3 standard deviations of the mean. Answer the following question without using the Z-table. If scores on a test are normally distributed with mean 1100 and standard deviation 100, what percentage of the test scores are: a) more than 1300? b) less than 1100?
Answers
Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
Answer:
Step-by-step explanation:
This is the Empirical Rule.
68% of the data lies within 1 standard deviation of the mean, and so on.
If the mean is 1100 and the standard deviation is 100, 1300 represents two standard deviations above the mean. Using a calculator with distribution functions, we type in normcdf(2,10000), obtaining 0.023. This tells us that 2.3 percent of test scores are more than 1300.
Less than 1100: Since the mean is 1100, the area under the standard normal curve is exactly 0.5 (corresponding to 50% of data are less than 1100).