The expected value of a dataset is the mean of the dataset.
The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.
Expected value is calculated as:
[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]
For the red cars, we have:
[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]
[tex]\mathbf{Red = 0.97}[/tex]
Approximate
[tex]\mathbf{Red = 1}[/tex]
For the green cars, we have:
[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]
[tex]\mathbf{Green= 1.18}[/tex]
Approximate
[tex]\mathbf{Green= 1}[/tex]
Hence, the expected values of red and green is 1.
Read more about expected values at:
https://brainly.com/question/22097128
Help pls, will give branliest to right answer
Answer:
Similar AA
Step-by-step explanation:
By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.
Answer:
C. similar AA
Which of the following is the measure of side a?
23.3
144
8
16
Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30
The slope - intercept form is: ___
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow\frac{3y=30-5x}{3}\\\\\rightarrow y = 10 -\frac{5}{3}x\\\\\rightarrow \boxed{y = -\frac{5}{3}x + 10}[/tex]
⸻⸻⸻⸻
[tex]\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -\frac{5}{3} \text{ and the y-intercept would be } 10.[/tex]
⸻⸻⸻⸻
[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
QUICK HELP!!!
Use the table of the probability distribution to find the variance
Answer:
0.9
Step-by-step explanation:
Find slope of both lines and determine if parallel, perpendicular or neither
1) A (2,20)
B (9,55)
C (4,5)
D (9,30)
Answer:
Parallel
Step-by-step explanation:
y=5x+10
y=5x-15
Choose the algebraic expression that matches the phrase below.
h increased by 5
Answer:
h + 5
Step-by-step explanation:
increased = add so yeah...
Express the interval shown on the number line in inequality notation.
G
T-
10 12
-12
-6
6
-10
8
-8
-2 0
24
-4
A
U
>>
Al
00
IA
00
or
D.
[]
(,) || ()
I
Inequality Notation:
Answer:
Umm Where's The Answer?
What is the slope of this line?
Answer:
Slope = 2
Step-by-step explanation:
(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]
Simplify the following expressions by distributing. 4(-w +8)
Answer:
-4w+32
Step-by-step explanation:
distribute the 4 to everything in the ( )
An angle exceeds three times its complement by 10°, find it.
Answer:
30° angle it might be same
I NEED HELP ASAP!!!!!
Answer:
IM PEPPA PIG
Step-by-step explanation:
UGHHHHHH 3333333
1000 Chevrolet times 1000 Lamborghini
Answer:
1000000 chevginis
Step-by-step explanation:
Answer:
1000000 sports cars (Chevrolet and Lamborghinis)
Step-by-step explanation:
1000x1000
what is the equation of the line in slope intercept form that passes through the points (1,7) and (2,11)
Answer:
slope = y^2 - y^1 / x^2 - x^1 = 4
your slope would be 4
Step-by-step explanation:
20% of 400 is
.............
Answer:
80
Step-by-step explanation:
20% of 400 is
= 20/100 * 400
= 80
the measure of an angle is 14 degrees less then the measure of its complement . Find the measures of the two angles
Answer:
it would be:
Step-by-step explanation:
: 14 + 14 + 14 =?
:?=42°
.Write 3.4 · 10-4 in standard form
Answer: 0.00034
Step-by-step explanation: 10^-4 would move the decimal left four times.
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
please help me :)
see image below
Answer:
x=6
Step-by-step explanation:
2x+5=17
-5 -5
2x=17-5
2x=12
x=6
Answer:
2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D
how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg
Answer:
100000 $
Step-by-step explanation:
Multiply:
1000*10
100000 $
[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
¿Qué es un dato en estadística?
Answer:
Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".
Step-by-step explanation:
Answer:
Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico
Step-by-step explanation:
Please help! Geometry
Answer: g=100
Step-by-step explanation:
Answer:
g = 105
Step-by-step explanation:
G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.
3
A line passes through the point (10, 1) and has a slope of
2
Write an equation in slope-intercept form for this line.
Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
~
Select the correct answer.
Answer: a
Step-by-step explanation:
how to find an expression for the perimeter of the rectangle
Answer:
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Help me with this question (will mark brainliest)
Answer:
What's the question?
How many solutions does this equation have?
9p + 5 = 5 + 9p
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
О -10
0-5
-3
ОО
О-1
Answer:
-1
Step-by-step explanation:
Step-by-step explanation:
Given by your question
2(3x-1)≥4x-6
Distributive property to take off the parentheses
2×3x-2×1≥4x-6
6x-2≥4x-6
Subtract 4x on both sides (Subtractive property of equality)
6x-2-4x≥4x-6-4x
2x-2≥-6
Add 2 on both sides (Addition property of equality)
2x-2+2≥-6+2
2x≥-4
Divide 2 on both sides (Division property of equality)
2/2 x≥-4/2
x≥-2
----------------------------------------------------------------------------
Looking at the options you've provided.
-10 INCORRECT, it is not greater or equal to -2
-5 INCORRECT, it is not greater or equal to -2
-3 INCORRECT, it is not greater or equal to -2
-1 CORRECT, it is greater than -2
Answer:
2(3x -1) = 4x - 6
6x - 2 = 4x - 6
6x -2+2 = 4x -6 + 2
6x - 4x = 4x - 4x -6 + 2
6x - 4x = -6 + 2
2x = -4
2 2
x = -2
Given the proportion a/b=5/19, what ratio completes the equivalent proportion a/5=?
Answer:
[tex]\frac{b}{19}[/tex]
Step-by-step explanation:
If you cross-multiply in the first proportion you get 19a = 5b
To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b
Plz help…10 points and a brainliest…
Answer:
substitute the values given,
= (2a + b) - (a - 2b)
= (2(x + 2y) + x - 2y) - (x + 2y - 2(x - 2y))
= (2x+4y+x-2y) - (x+2y-2x+4y)
= (3x+2y) - (-x+6y)
= 3x + 2y + x - 6y
= 4x - 4y
then,
(2a+b) - (a-2b) = 4x - 4y