For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain during some period on both of the next two days, what is the probability that the first drop of rain will be felt between 9:15 AM and 2:50 PM on both days
Answer:
The required probability = 0.0541
Step-by-step explanation:
From the given information:
The probability that it will rain throughout the day is uniformly distributed & independent of the surrounding days.
Assuming that (P₁) represents the probability that it will rain between 9:15 am to 2:50 pm on day 1.
The time interval is 5 hours 35 minutes long.
= 5.583333 hours long
Thus;
P₁ = 5.583333/24
P₁ = 0.2326
Assuming that (P₂) represents the probability that it will rain between 9:15 am to 2:50 pm on day 2.
P₂ = P₁ = 0.2326
Therefore, the total probability = P₂ × P₁ (independent events)
= 0.2326 × 0.2326
= 0.05410276
≅ 0.0541
Find the value of x. Round to the nearest degree.
15
12
Answer:
153 degrees
Step-by-step explanation:
15+12=27
180-27=153
Use the line tool to graph the equation on the coordinate plane.
y = 3/4x
Step-by-step explanation:
in the equation y=mx+b, m corresponds to the slope, and b corresponds to the y-intercept. Since b is 0 at this case, we will start at (0,0). From here you can graph the line with the slope. Since it is 3/4, you would move up 3 units, and to the right 4 units to end up with the point (4,3). Now you have the two points (0,0) and (4,3), so all you need to do is connect them to form the line.
There are three customer service operators manning a helpline: Alex, Bobby, Charlie. Charlie is relatively new and takes one third as many calls as Bobby. Alex handles 6 times as many calls as Charlie.
What proportion of calls does Bobby handle?
Answer:
Bobby answers 30% of all phone calls.
Step-by-step explanation:
To determine the proportion of calls that Bobby answers in the call center, knowing that Charlie handles one third as many calls as him, and that Alex handles six times as many calls as Charlie, the following equivalence must be made:
A = 6 C (1/3B x 6 = 2B)
B = B
C = 1/3 B
2B + B + 1/3 B = 100
3 1/3 B = 100
3.33 B = 100
B = 100 / 3.33
B = 30
Therefore, Bobby answers 30% of calls, Alex answers 60% and Charlie 10%.
Nadia is a stockbroker. She earns a 12% commission each week. Last week, She sold $7500 worth of stocks. How much did make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:900
Step-by-step explanation:
When the correlation between x and y is zero, what is the best prediction of a y score that can be made from a given x score?
Answer:
The mean of y
Step-by-step explanation:
In statistics, correlation is the degree of the linear relationship between two variables. The correlation coefficient is the numerical measure of the linear relationship of two variables, It is measured in the range -1 to 1. When the coefficient is negative, the variables are said to have a negative correlation, while it is a positive correlation or have a strong linear relationship if the correlation coefficient is positive.
When the correlation coefficient is zero, both variables have no linear relationship and the best predictions of each variable would be the mean.
Solve for x.
(17x –23)
°
(8x –4)
°
(3x + 17)°
Answer:
=28x −10
Step-by-step explanation:
28x
The value of x will be;
⇒ x = 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
Now,
Solve the expression as;
The expression is,
⇒ 17x - 23 = (8x - 4) + (3x + 17)
⇒ 17x - 23 = 8x - 4 + 3x + 17
⇒ 17x - 23 = 11x + 13
⇒ 17x - 11x = 23 + 13
⇒ 6x = 36
⇒ x = 6
Thus, The value of x will be;
⇒ x = 6
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If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
Please help me solve this question will give you braisnlt !
Answer:
C
Step-by-step explanation:
In slope intercept form y=mx+b
m is your rate of change/ slope
since the slope is +5
This means that your rate of change, in this case elevation, is 5 feet per minute.
As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.
which one is the bigest and which one is the lowest
5 7/8
6
5.5
5 3/4
Answer:
Greatest to Least order: 6, 5 7/8, 5 3/4, 5.5
Step-by-step explanation:
First it's 6, then it's 5 7/8 because 5 7/8 = 5.875, then 5 3/4 because 5 3/4 = 5.75, and then 5.5 which is the lowest number.
1.) Look at the figure below.
A
+5
3x
B
What is the measure of ZB?
A 35°
B
71°
С
760
D 105°
Answer:
D
Step-by-step explanation:
WILL GIVE BRAINLIEST. It is also worth 34 POINTS!!! PLEASE HELP!!!! Please respond in full sentences. I appreciate your help. Thank you!!
Answer: 1 orange would be 50 cents.
b) the ordered pairs 12,10 means that there are 12 pounds of oranges and they cost $10 dollars
Step-by-step explanation:
4. In a normal distribution with u=150, o = 12.5 find P(x < 145).
Answer:
i know it hard but i know u get there
Radha is trying to choose between two bike rental companies, Company A and Company B.
Company A charges a $25 initial fee and an additional $5 for each hour rented. Company B charges an initial $18 fee and an additional $6 for each hour rented.
The total cost to rent a bike from Company A can be represented by the equation y = 5h + 25, where h represents the number of hours rented and y represents the cost, in dollars.
The total cost to rent a bike from Company B can be represented by the equation y = 6h + 18.
For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?
Part A:The number of hours when the rental amount charged will be the same is
Part B:The cost of renting the bike for this many hours is
Answer:
Part A. After 7 hours the amount charged will be the same
Part B. The cost of renting the bike for that many hours (7) will be 60$.
Step-by-step explanation:
5h + 25 = 6h + 18
5h - 6h = 18 - 25
-h = -7
h = -7/-1
h = 7
Company A.
y = 5h + 25
y = (5*7) + 25
y = 35 + 25
y = 60
Company B.
y = 6h + 18
y = (6*7) + 18
y = 42 + 18
y = 60
X+8=13
That’s my question
Answer:
x = 5
Step-by-step explanation:
x + 8 = 13
x = 13 - 8
x = 5
Hope this helps :)
Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).
8/5-c - 8/5+c
Find the difference in simplest form.
Answer:
16c
Step-by-step explanation:
The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].
Total distance = 16 miles.
So each distance = 16/2=8 miles.
Given: He can paddle the kayak at an average rate of 5 miles/hour.
And the speed of the current is = c
So the speed while going up = (5-c)
The speed while going down=(5+c).
So the time while going up = [tex]\frac{8}{5-c}[/tex]
The time while going down=[tex]\frac{8}{5+c}[/tex].
So the difference is:
[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]
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Which equation below matches the relationship shown in the table?
Answer:
y = 3x + 0.5
Step-by-step explanation:
At 7:00 a.m. the temperature was -4°F.At 9:00 a.m. it was 8 degrees warmer .what was the temperature at 9:00 a.m.
Answer:
The temperature was +4°F.
Step-by-step explanation:
The temperature got warmer by 8°F (or two sets of 4°F).
-4°F warming up to 0°F is the first set of 4°F. The second set of 4°F takes it from 0°F to +4°F.
what will be the value of d when an airplane flies at 420 miles per hour for three hours?
Answer:
1260 I think
Step-by-step explanation:
because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260
What's a common denominator for 1/2 and 1/14 SOMEONE PLEASE HELP IM ABOUT TO TAKE A TEST!!!!!!!!!!!
Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two
Step-by-step explanation:
Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28
Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.
1 x 2 = 2 = 2/4
2 x 2 = 4
1 x 2 = 2 = 2/28
14 x 2 = 28
what is the percent increase from 3.5 to 3.5
Answer:
0
Step-by-step explanation:
There is no increase
Answer:
0
Step-by-step explanation:
there is no increase in percent
Find (x + 3) (x^2 – 2x – 8).
Answer:
(x−4)(x+2)(x+3
i think
Answer:
x^3 +x^2 -14x -24
Step-by-step explanation:
Use distributive property:
x(x^2)+x(-2x)+x(-8)+3(x^2)+3(-2x)+3(-8)
x^3 -2x^2 -8x +3x^2 -6x -24
x^3 +x^2 -14x -24
Write an integer for:
13° below zero
Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)
(1,6)
(2,6)
(2,5)
(1,5)
2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
(1 point)
Their intersection point is the only point where different inputs into both functions yield different outputs.
Their intersection point is the only point where the same input into both functions yields different outputs.
Their intersection point is the only point where different inputs into both functions yield the same output.
Their intersection point is the only point where the same input into both functions yields the same output.
3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.
Answer:
2,6
Step-by-step explanation:
Answer:
1. (2,6)
2. C
3. B
Step-by-step explanation:
y = - 2x + 10
y = x + 4
SInce the two equation both equal y, we can said they are equal.
- 2x + 10 = x + 4
- 10 - 10
- 2x = x - 6
- x - x
- 3x = - 6
/-3 /-3
x = 2
Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.
- 2(2) + 10 = 2 + 4
- 4 + 10 = 6
6 = 6
This is true since both sides are equal.
The point that intersects y=-2x+10 and y=x+4 is (2,6).
2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?
C) Their intersection point is the only point where different inputs into both functions yield the same output.
Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).
3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.
y = - 1/3x + 5
y = - 1/3(0) + 5
y = 5
Point: (0,5)
Slope: - 1/3
Rise over run (y/x) so up 3 and left 1.
B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.
multiply .035 times a power of ten so that the product is greater than 1 but less than 100
Answer:
0.035 x 10^3
Step-by-step explanation:
yes
A painter can paint 180 square feet per hour. He charges $0.35 per square foot. Today he paints for 3.5 hours. How much will he charge?
Answer:
i think it's 1800
Step-by-step explanation:
if it's wrong i'm so sorry :)
The price charged for 630 square feet is $220.5
If a painter can paint 180 square feet per hour, the amount he will paint in 3.5 hours will be 3.5 * 180 = 630 square feet
If the painter charges $0.35 per square foot, the price for 630 square feet will be expressed as 0.35 * 630 = $220.5
Hence the price charge for 630 square feet is $220.5
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Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Please hurry I need this fast
Answer:
C
Step-by-step explanation:
Answer:a
Step-by-step explanation: a
Write an inequality that represents the verbal expression. 9 less than a number n is less than 17
Answer:
9<n<17.
Step-by-step explanation:
Rajiv paid using a 10 bill how much will she receive
Answer:
She will receive the change
Step-by-step explanation:
there no context to this question
Answer:
shes gonna receive her change
Step-by-step explanation:
;-; there is no instruction to your question