92 because I'm really good at math
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]
B.) X = 71
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]
C.) X = 92
[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
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How many liters of a 50% acid solution must be mixed with a 30% acid solution to get 180 L of a 40% acid solution?
Answer:
ninety liters
Step-by-step explanation:
Ninety liters of the 50% acid solution have to be mixed with 90 liters of the 30% solution to yield 180 liters of 40% solution.
Which of the following lists of values contain rational numbers only?
Group of answer choices
90, -1.375 , π
−81−−−√,7√7√,4.16
28−−√,0,313
639,116−−√,50−−√
Answer:
90, -1.375 , π
Step-by-step explanation:
whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work
Answer:
the answer is abcdefgh because of that it explains the and
Answer: abcdefgh
Hope this helps
how do i get the answer?
Answer:
37
Step-by-step explanation:
3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)
Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, the distance QR is:
[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]
[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]
Evaluate exponents
[tex]QR = \sqrt{4 +9}[/tex]
[tex]QR = \sqrt{13}[/tex]
Take square root of 13
[tex]QR = 3.61[/tex]
Hence, the distance between Q and R is 3.61 units
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Answer 6-7 thanks!!!!
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
Answer:
y = 10/9x + 9
Step-by-step explanation:
To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).
Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (0, 9)
and (x2, y2) = (9, 19)
Substitute these values on the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]
Therefore, the slope (m ) = 10/9.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.
One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.
Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9
Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min
Answer: y= -3x + 16
Step-by-step explanation:
I'm assuming that you mean a linear equation
So the first thing that you want to do is find the slope for the line.
1-(-2) / -3 - 6= -9/3= -3
Now that you have the slope you can pick one of the points to plug in.
-2 = -3(6) + b
We don't know what the y intercept is so we'll need to solve for that.
-2= -18 + b
add -18 to -2
16=b
so your equation will be
y= -3x + 16
Find the measure of the marked angles.
The measure of the angles is
___ degrees
Answer:
43°
(4x + 19)° = (6x + 7)° [vertically opposite angles are equal]
4x+19 = 6x+7
4x + 19 -7 = 6x
4x +12 = 6x
12 = 6x - 4x
12 = 2x
2x = 12
x = 12/2
x = 6
Now replace the x with 6
(4x+19)°
= (4×6+19)°
= (24+19)°
= 43°
(6x+7)°
= (6×6+7)°
= (36+7)°
= 43°
The measure of the angles is 43 degrees
Write the equation in slope intercept form. what are the slope and y-intercept? -3x - 10y = 7
Answer:
Slope: = 3/10x
y-intercept: = -7/10
Step-by-step explanation:
10y = -3x - 7
y = -3/10x - 7/10
Slope: = 3/10x
y-intercept: = -7/10
A toy store is having a sale. A video game. System has an original price of $99 it is on sale for 40% of the original price. Find the sale price of the game system. Round to the nearest cent
Answer:
The answer is 59.40
Step-by-step explanation:
simplify. 5 - 8 ÷ 2 + 4
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
5 - 8 ÷ 2 + 4
Step 2: Simplify
Division: 5 - 4 + 4Subtract: 1 + 4Add: 5PLS HELP WILL MARK AS BRAINLIEST
Answer:
26. the y intercept is -6
27. the y intercept is 2
28. the y intercept is -3
29. I cant answer because it is cut off in the picture...
Step-by-step explanation:
These equations follow a simple formula- the slope formula
y=mx+b
In this formula:
b is the y intercept
m is the slope that is multiplied by x
hope this helps:)
please crown me brainliest!!!
I needhelp with this math assignment
What should I write ?
Answer:
It is true because 3/6 is that smallest fraction or "simplest form" of 6/12
Step-by-step explanation:
6 cups is how many times as much as 24 cups? ~ In a fraction ~
Answer:
1/4
Step-by-step explanation:
6/24 = 1/4
show work pleasee 15 points
Answer:
It's D; 32 ounces, because you get more for the price.
Answer:
A. 10 oz
Step by step explanation:
The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz
A=0.079
B=0.086
C=0.120
D=0.0996875
Type an equation for the
following pattern.
y=[? ]x+[ ]
jay decided to go parachuting. Her elevation drops by -80 feet in 8 seconds. How far is she dropping each second
Find the difference.
10 - (-2)
Step-by-step explanation:
10-(-2) = 10+2 = 12.
hope this helps you.
Hello there!
10-(-2)=10+2=12
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia\\***************************************[/tex]
Comment:
Please mark Brainliest and hope it helps you! :)
En tu cuaderno resuelve las multiplicaciones usando el procedimientos diferentes en cada caso describe en qué consiste
Answer:
dos
Step-by-step explanation:
I need help What is 2x+3y+z
Answer:
2x+3y+z
Step-by-step explanation:
There are no like terms. This equation cannot be simplified.
Graph the linear equation 5x-4y < 20
Answer: (See attached image file)
Step-by-step explanation:
Start by plotting given key featuresBased on the problem, we know that the x-intercept is (0,4) We find this by plugging in 0 for y, and solving for x (5x = 20)(x = 20/5 = 4) (4, 0) We can also easily solve for the y-intercept, which is (0,-5)We find this by plugging in 0 for x, and solving for y(-4y = 20)(y = -5) (0, -5) Since we know that the equation is linear, seeing as the highest exponent is 1, we know that these two points have to be connected by a single, straight line.Finally, we shade in the side to the LEFT of the line. This is because the equation asks for LESS THAN. If however the question had been 5x-4y>20, we would shade in the region to the right.
What type of dilation is formed when the scale factor K is greater than one
Answer:
Enlargement
Step-by-step explanation:
When k > 1, the dilation is an enlargement. When k > 0 and k < 1, the dilation is a reduction. In a dilation, the original figure and its image are similar. The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
a = 26.241
b = 47.448
Step-by-step explanation:
what is the answer to -3x + 6 = 2x - 24
-3x + 6 = 2x - 24
To FindValue of 'x' term
Solution[tex] -3x + 6 = 2x - 24 [/tex]
[Bringing 2x to left side and 6 to right side]
[tex] = > - 3x - 2x = - 24 - 6 \\ \\ = > - 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{ - 5} \\ \\ = > x = 6[/tex]
[tex] \fbox \red{Hope This Helps}[/tex]
The area of the rectangle is (18r - 12) square inches. Write an expression that represents the length of the rectangle (in inches).
Answer:
L = (18r - 12)/W
Step-by-step explanation:
A = L * W
18r - 12 = L * W
(18r - 12) = L * W
(18r - 12)/W = L
Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31) .
Enter your answer in the box, without spaces.
Answer:
[tex]\sf y=9x-5[/tex]
Step-by-step explanation:
[tex]\begin{aligned}&\sf y-y_1=m(x-x_1) \\&\sf y-31=9(x-4) \\&\sf y-31=9x-36 \\&\sf y=9x-36+31 \\&\boxed{\sf y=9x-5} \end{aligned} [/tex]
Jamie saw 12 ducks on the lake. When Jamie said that 1/2 of the ducks swam away, how many ducks was that?
a) 8
b) 4
c)6
Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:
Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
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