Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
[tex]X \sim Poisson (0.5)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.5}[/tex]
[tex]= 1 - 0.6065[/tex]
[tex]= 0.3935[/tex]
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
[tex]Y \sim Poisson (0.2)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.2}[/tex]
[tex]= 1 - 0.8187[/tex]
[tex]= 0.1813[/tex]
Why did the 30-60-90 triangle marry the 45-45-90 triangle
Answer: because they were right for each other.
Step-by-step explanation:
The cause due to which the triangles 30-60-90 married the triangle 45-45-90 would be:
They were right for each other.
Sum Property of TriangleThe sum of property of triangle states that the three angles of triangle give the sum of 180°.
Given that,
Two sets of triangles having the measures:
First set = 30°-60°-90°
Second set = 45°-45°-90°
The first set marries the other as they both are right i.e. 90° to one another and give an equal sum of 180°.
Thus, the above answer is correct.
Learn more about "Triangle" here:
brainly.com/question/25813512
Can someone help me? I’ll reward points + brainalist
Step-by-step explanation:
THE ANSWER IS C. 31 INCHES
Answer:
c) 31 in.
Step-by-step explanation:
circumference = 2 π r
r = 5 in
π = 3.14
C = 2 x 3.14 x 5
C = 31.4
round to the nearest whole number
31.4 = 31
Find the circumference of the circle.
Answer:
18.85, closest answer is A.
C=2πr=2·π·3≈18.84956
PLEASE, do NOT click on any links, or DOWNLOAD suspicious files!
I need help on number 3
Answer:
A
Step-by-step explanation:
slope=y/x=-3/(-4)=3/4
Can someone please help me? No links due to the fact that I can’t open them
Answer:
The answer is A
Step-by-step explanation:
Answer:
A is the correct answer
Step-by-step explanation:
║ mean parallel
and the other symbol means perpendicular
Hope this helps! :)
Find the distance between −340 and 207 on the number line.
Answer:
547
Step-by-step explanation:
To find the difference between the 2 numbers, subtract -340 from 207:
207 - (-340)
Subtracting a negative number will change to adding a positive number:
207 + 340
= 547
So, the distance is 547
Frank exercises no less than 40 minutes per day use t to represent Frank's amount of exercise minutes per day.
9514 1404 393
Answer:
t ≥ 40
Step-by-step explanation:
"No less than" is the same as "greater than or equal to".
t ≥ 40
2/3*Z=1 1/9i will award brillenest
Answer:
5/3i
Step-by-step explanation:
Answer:
5/3i
Step-by-step explanation:
During the football game, Justin caught three passes. One was for a touchdown and went 52 yards.
The other was for a first down and was for 17 yards. The other was on a screen pass that did not
work so well and ended up a gain of -10 yards. What was the total yardage gained by Justin on the
pass plays?
Answer:
59
Step-by-step explanation:
52+17-10=59
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation:
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
24*8+4(4-2)22+3*7-222
Answer:
hello mate..how dy a?
Step-by-step explanation:
answer is -67
Write an equation in the form y = mx + b of the line that is described. The line has the same y-intercept as the line whose equation is y = - 2 + x and is
parallel to the line whose equation is 3x + 3y = 6.
Answer:
y=x+2
Step-by-step explanation:
So, our line has the same y intercept as the equation is y=-2+x, and parallel to 3x+3y=6
We want to write the equation in y=mx+b form, where m is the slope and b is the y intercept
The y intercept of y=-2+x is -2, (we can rearrange it to be y=x-2) so that's the y intercept of our line
so far, here's our line:
y=mx-2
First, let's put 3x+3y=6 into slope-intercept form
subtract 3x from both sides
3y=-3x+6
divide by 3
y=-x+2
Perpendicular lines are negative and reciprocal; if you multiply their slopes together, the result is -1.
The slope for y=-x+2 is -1.
To find the slope of the new line:
-1m=-1
divide by -1
m=1
The slope of our line is 1
here's our line:
y=x+2
hope this helps!
말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)
Answer:
38
Step-by-step explanation:
We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.
Convert the fraction 5/8 to decimal using long division method
The distance in New York is 3 hours ahead of the distance in LA. The miles between the cities is 7,120. A plane left New York at 6:25a.m. and arrived at 8:25a.m. local time. At what speed did the plane travel?
PLEASE HELP!!!
Which expression are equal to 6³×2 6÷2³?
O12 6
O12³
O6³
O2 6×3³
O2³×3³
Answer:
(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)
borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 2%. The total interest that he paid was . How much money did he borrow?
BD=16 and ÁT is the
perpendicular bisector of BD. Y=?
Answer:
[tex]y= 5[/tex]
Step-by-step explanation:
Given
[tex]BD = 16[/tex]
[tex]BC = 2y - 2[/tex]
[tex]CD = y + 3[/tex]
Required
Find y
[tex]BD = BC + CD[/tex]
So, the expression becomes
[tex]16 = 2y - 2 + y + 3[/tex]
Collect like terms
[tex]16 = 2y + y- 2 + 3[/tex]
[tex]16 = 3y+1[/tex]
Collect like terms
[tex]3y = 16 - 1[/tex]
[tex]3y = 15[/tex]
Make y the subject
[tex]y= 15/3[/tex]
[tex]y= 5[/tex]
Select all statements that show correct reasoning for finding 15 ÷ 2/3. You must choose two answers.
1) Multiply 15 by 2, then divide by 3.
2)Multiply 15 by 3, then divide by 2.
3)Multiply 15 by 4s, then multiply by 2.
4)Multiply 15 by 3, then multiply by 1/2.
Answer:
2; 4
Step-by-step explanation:
Both work out in the end.
in the coordinate plain the point located at (-3,4) was reflected and is now located at (3,4). how was the point reflected
Answer:
they reflect thru the y-axis
Step-by-step explanation:
Use GCF to rewrite the expressions.
48 + 6m
FREE BRAINLIEST HELP!
Answer:
Exponential
Step-by-step explanation:
Answer:
can i please have Brainliest
Step-by-step explanation:
The legs of an isosceles right triangle are 20 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.
a.
34.6 cm
b.
28.3 cm
c.
40 cm
d.
14.1 cm
Please select the best answer from the choices provided
A
B
C
D
A bowling alley charges 3.25 to rent shoes and an additional 1.25 for each game of bowling played. Jordan spent a total of $17. Write an equation to find n the number of games bowled
$3.25 + $1.25n= $17 should be jt
{{{{{{{{{{{{{{{ URGENT QUICK 7th GRADE MATH }}}}}}}}}}}}}}}}
which expression is equivalent to -1/4(20z + 24)
A. 5z-24
B. -5z-6
C. 5z+24
D. -5z+6
Answer:
B. -5z - 6 is the correct option.
Answer:
B is your answer
Step-by-step explanation:
hope it helps
Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies he wishes to buy chicken pizza or subs for the main course prices including tax are shown below
Answer: C, D, and E
Step-by-step explanation:
200-122=78 remaining
A: 7*11.75= 82.25
B: 10*11.75= 117.50
C: 9*6.80=61.20
D: 11*6.80=74.80
E: 70*1.10=77.00
F: 71*1.10=78.10
Only C, D and E are below the dollars remaining in the budget.
PLEASE HELP - 30 POINTS
Slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.
Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of quadrilateral you chose. Be sure to clearly state the properties that you need to use.
Answer:
Step-by-step explanation:
parallelogram , square
if you can show that two opposite sides are parallel but not perpendicular to the other two sides you can say it's a paralleleogram
if you can show that two lines are perpendicular to the other two.. but are stilll parallel to each other.. then you can say it's a square
The slope of the line tells the direction and the steepness of the line. The two types of quadrilaterals which can be determined by the given properties are rectangle and trapezoid.
Given information-The property given in the problem is, slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
Slope of a line-
The slope of the line tells the direction and the steepness of the line.
As the slope of the line is given, therefore it can be calculated that which lines are parallel, which lines are perpendicular and which are not.
Rectangle and Trapezoid with the properties of parallel line can be determine.
To choose these quadrilateral, the slope help us out. As the slope of the two parallel line is equal. Thus parallel line can be determined.
The slope of the two perpendicular line is inverse opposite, thus the perpendicular line can be determined.
Hence the two types of quadrilaterals which can be determined by the given properties are rectangle and trapezoid.
Learn more about the slope of the line here;
https://brainly.com/question/2514839
- 9 (K - 17 ) = 54 please solve
Answer: k=11
Step-by-step explanation:
A map with a scale of 1 : 50,000 shows the locations of four towns A, B, C, and D.
The distance between Town A and Town B is 6 centimeters, the distance between
Town B and Town C is 7 centimeters, and the distance between Town C and Town D
is 8 centimeters. Given that m2ABC = m_ADC = 90°, find the actual distance
between Town A and Town D.
Answer:
can you please put your question points higher? anyway the answer is C
Step-by-step explanation:
