Answer:
1/3
Step-by-step explanation:
The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.
The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.
Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.
So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)
= 60 s/180 s
= 1/3
Find the diagonal of the box using the Pythagorean Theorem.
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
Which of the following expressions is not equivalent to (-2)(8 + 6 + -3)?
answers:
1. (-2)(8) + (-2)(6) + (-2)(-3)
2. (-2)(8 + 6) + (-2)(-3)
3. (-2)(8) + (-2)(6 + -3)
4. (-2)(8 + 6) + (-3)
Answer:
4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Can someone help me really quick!?
Answer:
Yes its 2nd, 4th, and 5th
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
(-4,6), (r,10) and m = -2. what is r?
Answer:
-6
Step-by-step explanation:
The formula of slope Y2-Y1/X2-X1
so you actually use this formula equal to -2
10-6/X-(-4) = -2
Please help I don’t get it
Answer:
Alternate Interior Angles
Step-by-step explanation:
Angle 3 and angle 6 are inside the parallel lines and are opposite sides of the transversal line so, it'd be alternale interior angles.
In the equation y=2X+7 which
number is the slope?
Slope (m)
Answer:
2 is the slope
Step-by-step explanation:
the equation is y=mx+b so if it is
y= 2x+7 that means the slope is 2
Answer:
2
Step-by-step explanation:
This equation is in y=mx+b form.
Slope = m
Y-intercept = b
This will give you the slope of 2 :)
what is 15 feet converted to meters
Answer:
4.572 meters
Step-by-step explanation:
hope it helps, mark brainliest please
Answer:
4.572 meters; 4.6 rounded.
Step-by-step explanation:
Multiply the foot value by 0.3048 or divide by 3.280839895
15x0.3048
=4.572
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
Which equation represents a line with a slope of -2/3
and passes through the point (6,-2)?
Simon is selling candy bars for his class fundraiser. In each box of 56 candy bars, 18 are
peanut, and the rest are dark chocolate. Each dark chocolate candy bar costs $2.25.
If Simon raises a total of $117, selling a whole box, how much does each peanut candy bar
cost?
O $4.00
O $4.25
$2.00
$1.75
Nort
Answer:
it will be 1.75$
Step-by-step explanation:
56-18
38x2.25
117$ - 85.5$
31.5 / 18
one factor of 8x^3+1 is 2x+1 The other factor is?
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
I’ll mark you brainlist write in y=mx+b form
Answer:
y=-1/8x +4
Step-by-step explanation:
1. First, write the equation in point-slope form: y-y1=m(x-x1)
y-1=-1/8(x-24)
2. Distribute -1/8 to x and -24
-1/8 times x = -1/8x
-1/8 times -24 = 3
y-1=-1/8x+3
3. Add 1 to both sides
y=-1/8x +4
Y=|x+2|-3 find the axis of symmetry
In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?
9514 1404 393
Answer:
19.5 hours
Step-by-step explanation:
The number in the dish at time t (in hours) can be described by ...
n(t) = 100·2^(t/26)
We want to find t such that ...
n(t) = 168
100·2^(t/26) = 168
2^(t/26) = 1.68 . . . . . . divide by 100
(t/26)log(2) = log(1.68) . . . . . take logarithms
t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t
t ≈ 19.5 . . . hours
It would be about 19.5 hours until there are 168 bacteria.
I just need a favor please use pemdas and if you can write your work thank you so much
Answer:
Do you need all 6 of them?
Answer and Step-by-step explanation:
w = -1
x = 6
y = 3
z = -2
32. Plug -2 for z and 6 for x.
(9(-2)) / 6
-18 / 6
3
33.
[tex]6^{2} - 3^{2}[/tex]
36 - 9
27
34.
[tex]3^{2} - (-2)^{2}[/tex]
9 - 4
5
35.
[tex]\frac{2(6)+3}{-2 + -1} \\\\\frac{12+3}{-3}\\\\\frac{15}{3} \\\\5[/tex]
36.
[tex]\frac{3(6)-(-2)}{-(-1)} \\\\\frac{18 + 2)}{1)} \\\\\frac{20}{1} \\\\20[/tex]
37.
[tex]\frac{6 + -1}{3 - (-2)} \\\\\frac{5}{5}\\\\1[/tex]
#teamtrees #WAP (Water And Plant) #SPEW (Society for the Promotion of Elfish Welfare)
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
Can S1 help pls and ty
Answer:
It is 52
Step-by-step explanation:
Hope this helped have an amazing day!
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
What is an equation of the line that passes through the points (4, -2) and (8, – 7)?
Put your answer in fully reduced form.
Answer:
y= -5x/4 + 3
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.
Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].
So y - (-2) = (-5/4)(x - 4) (equation of the line)
y + 2 = -5/4(x - 4)
y + 2 = -5x/4 + 5
y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)
You could also use (8,-7) instead of (4,-2).
Who can answer my question in square LMNO find the length of LM
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
What is the slope of this line? please explain because it is confusing if I only got the number of the slope:)
Answer:
8/3
Step-by-step explanation:
Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.