Answer:
3.85 (rounded to 4 cars)
Step-by-step explanation:
Let X be the discrete random variable the number of vehicles changing lanes
X~B(7, 0.55)
The expected value is found by:
E(X) = 7 × 0.55
E(X) = 3.85
Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.5x - 4 = 0
a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3
The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: https://brainly.com/question/25841119
Carpet Company A
c = 1.35y + 100
where c is the cost and y is the number of square yards.
Carpet Company B
This company charges $2.05 per square yard for the carpet and the installation.
Identify the unit rate in dollars per square yard for each carpet company.
Answer:
2.45
Step-by-step explanation:
the number of Significant Figures in 13410000 *
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhh
Answer:
4
Step-by-step explanation:
13410000
Sig Figs4
13410000
Decimals0
Scientific Notation1.341 × 107
E-Notation1.341e+7
Words thirteen million four hundred ten thousand
What does this equal 2(4+5) over 3
Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company
Answer:
32
Step-by-step explanation:
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
A
Step-by-step explanation:
We know that to find the next term we have to do
-3(-4)-1, which is equal to 11.
There are only to solutions with the '11' as the second term, A and C.
It can't be C as curly brackets state a set of numbers.
HELP!? ✋
What strategies help prevent cancer?
Select all that apply.
Question 8 options:
using sunscreen
avoiding tobacco
getting enough sleep
eating a healthy diet
please help me on this
Answer:
3
Step-by-step explanation:
2 + 3 = 7
--- --- ---
6 6 6
Please help
Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Answer:
-2 12
-1 7
0 2
1 -3
2 -8
Step-by-step explanation:
[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)
-2 ___
f(-2) = 2−5x
f(-2) = 2−5(-2)
f(-2) = 2 + 10
f(-2) = 12
-1 ___
f(-1) = 2−5x
f(-1) = 2−5(-1)
f(-1) = 2 + 5
f(-1) = 7
0 ___
f(0) = 2−5x
f(0) = 2−5(0)
f(0) = 2
1 ___
f(1) = 2−5x
f(1) = 2−5(1)
f(1) = 2 - 5
f(1) = -3
2 ___
f(2) = 2−5x
f(2) = 2−5(2)
f(2) = 2−5(2)
f(2) = 2−10
f(2) = -8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?
The area of the pennant made by Clara is 90 in²
Area
Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.
Area of the rectangle = length * width = 6 in * 1 in = 6 in²
Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²
Area of the pennant = 6 in² + 84 in² = 90 in²
The area of the pennant made by Clara is 90 in²
Find out more on Area at: https://brainly.com/question/25292087
Answer:
90in^2
Step-by-step explanation:
Area of the rectangle = length times width = 6 x1 = 6 in^2
then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2
and the Area of the pennant is = 6 + 84 = 90 in
Step-by-step explanation:
1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution
2. −k+_(k+1)=2k
make equation have no solution
Answer:
HOPE THAT HELPS BUT I DO NOT HAVE ANSWER
Step-by-step explanation:
3×2k=????
3×5=??
6×k=??
6×4=??
then put all those together in a 2 step equation and then add 9 to the answer
If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
4х + Зу = — 15
Зу = 2х + 3
Answer:
(- 3, - 1 )
Step-by-step explanation:
4x + 3y = - 15 → (1)
3y = 2x + 3 → (2)
Substitute 3y = 2x + 3 into (1)
4x + 2x + 3 = - 15
6x + 3 = - 15 ( subtract 3 from both sides )
6x = - 18 ( divide both sides by 6 )
x = - 3
Substitute x = - 3 into (2)
3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )
y = - 1
solution is (- 3, - 1 )
SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops
Answer: 240 gumdrops
Step-by-step explanation:
1 house: 15 gumdrops
16 houses : 240 gumdrops
1 x 16 = 16
15 x 16 = 240
A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?
Answer:
8 in
Step-by-step explanation:
because 4 x 2 = 8 inches squared
Answer:
8 inches²
Step-by-step explanation:
formula for the area of a rectangle is l x w
2 inches x 4 inches = 8 inches.
Area is written in (unit)²
so, the area of the rectangle is 8 inches²
Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}
9x2+8x(5x-4) simplify
Therefore, -14x + 40x² is the answer.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.
Answer:
13 ft^2
Step-by-step explanation:
Area = Base * Height
= 3 * (4+1/3)
=3*(13/3)
=13
Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.
Answer:
4.25 sq. ft
Step-by-step explanation:
l = 24
w = 0.5
h = 12
SA = 2lw + 2lh + 2wh
2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft
Find the graph for the equation y=|x-3|-6?
Answer:
Step-by-step explanation:
Find the value of x.
Answer:
Step-by-step explanation:
The top left angle is 55 (alternate interior angles).
x + 100 + 55 = 180 All triangles are made up of 180 degrees
x + 155 = 180 Subtract 155 from both sides.
x = 180 - 155 Combine
x = 25
Hence, 'x = 25°' is the value of 'x'
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Which statement is the correct interpretation of the inequality −4 > −5? (5 points)
Question 7 options:
1)
On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.
2)
On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.
3)
On a number line, −4 is located to the right of −5.
4)
On a number line, −4 is located to the left of −5.
Answer:
On a number line, -4 is located to the right of -5
Step-by-step explanation:
Answer:
On a number line, -4 is located to the right of -5.
Step-by-step explanation:
this is correct, also I don't take credit for it the person above me is the original. :)
A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:
Answer:
b = 161, m = 111
Step-by-step explanation:
b + m = 272
m + 50 = b
Substitute
m + 50 + m = 272
2m = 222
m = 111
Plug in for m
b + 111 = 272
b = 161
Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?
Answer:
1440
Step-by-step explanation:
HELP ME OUT PLEASE!!!
Which function represents the relationship between x and y?
D) y = x - 2
C) y = x + 4
B) y = 2x
A) y = x + 2
Answer:
The Answer is "A"
Step-by-step explanation:
x+2=y
The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.
Answer:
x = 4343°, 51°, 86°Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
help me please please
Answer:
11/14
Step-by-step explanation:
Have a nice day !!!
Answer:
its B, its 11/14
Step-by-step explanation:
given that a/b = 2/3 and b/c = 3/7 find A:B:C
Answer:
2:3:7
Step-by-step explanation:
a/b = 2/3
That gives us a clue that a=2 and b=3
But to make sure it states b/c = 3/7
So A:B:C is
2:3:7
Hope this helps!
help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing
Answer:
x= 5 or x= -5
Step-by-step explanation:
[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]
Cross multiply:
(x +4)(x -4)= 3(3)
Expand:
[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
x² -4²= 9
x² -16= 9
+16 on both sides:
x²= 9 +16
x²= 25
Square root both sides:
[tex]x = ± \sqrt{25} [/tex]
x= 5 or x= -5
Given that:
[(x+4)/3] = [3/(x-4)]
We know that
(a/b) = (c/d)
⇛a(d) = b(c)
Now,
By using cross multiplying fraction, we get
⇛x+4(x-4) = 3(3)
⇛x(x-4) + 4(x-4) = 9
⇛x² - 4x + 4x - 16 = 9
⇛x² - 0 -16 = 9
⇛x² = 9+16
⇛x² = 25
⇛x = √(25)
⇛x = ±√(5*5)
⇛x = ±5 = +5 or -5 Ans.
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