Answer:
(a) less than 1 year =0.751488
(b) more than 2 years but less than 4 years = 0.2458
(c) at least 5 years= 0.760331
Step-by-step explanation:
f(t) = 1 λ e−t/λ, [0, [infinity])
First we calculate the probability for an exponential random variable X with parameter λ
P (X= t) = ∫ 1 λ e−t/λ, dt
P (x=t) = e−t/λ,
λ = 3.5
Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt [the limits are (-∞ to 1)]
= e−1/3.5= 0.751488
P ( 2<X< 4 ) = ∫ 1 λ e−t/λ, dt [ the limits are (2 to 4)]
=e−2/3.5- e−4/3.5
= e-0.57142-e-1.142857
= 0.5647-0.31890
= 0.2458
P (at least 5) = 1- P (x=5)
= 1-∫ 1 λ e−t/λ, dt [ the limits are (∞ to 5)]
= 1- e−5/3.5
= 1 - e-1.4285
= 1-0.239
= 0.760331
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
pls help! will give brainliest!!!
Answer:?????
Step-by-step explanation:
what do u need help with/?//???/???
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
It takes Andrew 4 min to swim 5 laps how many laps per min
Answer:
0.8 laps per min
Step-by-step explanation:
4 min / 5 laps
4/5 = 0.8
WILL GIVE BRAINLIEST!
Answer:
6,-4
Step-by-step explanation:
Answer:
i think the answer is (6,-4) I'm not sure
Step-by-step explanation:
when reflecting the it across the x-axis it is going directly across which means it would be (x,y)-> (6,-4)
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=
Answer:
(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2
Step-by-step explanation:
Slope "m" of given line is
m = - 4
Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]
P(4, 3)
y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )
(a). y - 3 = - 4 (x - 4)
y = - 4x + 19
(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2
Right 2 units and down 7 units
Answer:
-3.5
Step-by-step explanation:
Rise over run
determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D
Draw the graph of y = 2x + 1
Answer:
Draw a dot at (0, 1)
Draw dot at (-1, -1)
Draw dot at (1, 3)
Connect the dots with a straight line
Step-by-step explanation:
The given equation is in slope-intercept form (y = mx + b). In this form, m is the slope and b is the y-intercept (where the line crosses through the y-axis).
The slope is 2, also written as [tex]\frac{2}{1}[/tex]. This means that the line goes up 2 units for each 1 unit to the right.
Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% tip
Answer:
28.2
Step-by-step explanation:
Answer:
20% is 4.70
New total with tip = 28.20
Step-by-step explanation:
23.50 x .20
4.70
please help i have no idea
Sharon uses 1 1/2 cups of sugar to make 2 batches of cookies. How much sugar will she use to make 6 batches of Cooke’s?
Answer:
8 Batches
Step-by-step explanation:
Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.
Rosabell had 27 posters for the parade, she droppd 19 while marching in the parade. how many does she hav left.
What is the formula and slope of (18, -7) and (18, 2)
Answer:
Step-by-step explanation:
Coordinate points: (18, -7) and (18,2)
m= rise / run or [tex]\frac{ y_2 - y_1} {x_2 - x_1}[/tex]
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
So your rise is...
2 - (-7)
and you run is...
18 -18
Rise = 9
Run = 0
Now, do you see the issue...
You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)
The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined
The line is vertical when this happens
*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line
0 divide by 9 is zero
Which function is represented by this graph
y=-1/2x +3 it's last one
the cost for fudge at candy lane is represented by the table.the graph the cost for similar fudge that best fudge shop sell. a. the unit rate for fudge at candy lane to equal the unit rate at best fudge shop. B.the unite rate for fudge at best fudge shop is less than unit rate at candy lane. C.the unite rate for fudge at candy lane is less than the unit rate at best fudge shop. D cost 3 pounds of fudge at best fudge shop is less than the cost of a pound of fudge at sweet treats
Answer:
B
Step-by-step explanation:
The correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a table that shows the cost for fudge at candy lane. The graph represents the cost for similar fudge that best fudge shop sell.
The slope of straight line represented by the table -
m[1] = (16 - 8)/(2 - 1)
m[1] = 8
The slope of the line plotted on graph -
m[2] = (9 - 6)/(3 - 2)
m[2] = 3
The slope is the measure of unit rate. Therefore, the unit rate of best fudge is less than unit rate of candy cane.
The cost 3 pounds of fudge at best fudge shop = 3 x 3 = $9
The cost 1 pound of fudge at candy lane = $8
Hence, cost 3 pounds of fudge at best fudge shop is greater than the cost of a pound of fudge at sweet treats.
Therefore, the correct statement of the given ones are - the unit rate of best fudge is less than unit rate of candy cane.
To solve more questions on straight line graphs, visit the link below-
brainly.com/question/2954112
#SPJ6
[Refer to the image attached for table and graph]
Explain how to solve the equation.
B - 7 = 12
Answer:
So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number
Step-by-step explanation:
Have a great day
An electrician charges (1) an initial fee of $20 and then $30 per hour. What type of graph does this represent?
an increasing only graph
a decreasing only graph
an increasing and decreasing graph
Answer:
this is an increasing graph. of y = 30x + b
Step-by-step explanation:
since all that is happening is that people are adding money, the graph just goes up and up
Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q
Answer:
Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?
Step-by-step explanation:
(Will mark brainlest Help please)out of 800 students at icenhower intermediate 208 live inside the city of mansfield
Answer:
Doesn't this mean that 592 students live outside the city of mansfield?
Step-by-step explanation:
800 - 208
Find the mean, median, and mode of the data set 8 2 7 2 6
Answer:
Mean=5
Median=6
Mode=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
mode: 2
median: 6
mean: 8 + 2 + 7 + 2 + 6 = 17 + 8 = 25/5 = 5
Look at the equation. y=2x−2 Which situation is best described by the equation?
A. The temperature at 2.00AM 2°c and rises 2°C each hour for x hours
B. The temperature at 2.00AM is -2°C and rises 2°C each hour for x hours
C.The temperature at 2:00AM is 2°C and drops 2°C each hour for X hours
D. The temperature at 2:00AM is -2°C and drops 2°C each hour for x hours.
Answer: A
Step-by-step explanation:y=2x−2 2.00AM 2°c and rises 2°C each hour for x hours
Plz help- solve the inequality
-3(1 - z) < 9
Use distributive property
Answer:
z
=
9
2
Step-by-step explanation:
anyway
good luck
Find the missing angles
Please try to give a good explanation so I can learn how it was done! Thank you
Answer:
Explained below.
Step-by-step explanation:
1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.
2. And since it is a right angle, both angles are 45 degrees.
3. All triangle angles will ALWAYS add up to 180.
4. Angle 4 = 180 - 45 (Angle 3) -83.
Angle 4 = 52.
5. Do same thing for Angle 1.
6. Angle 1 = 180 - 45 (Angle 2) - 48
Angle 1 = 87.
Final answers.
1. 87 degrees
2. 45 degrees.
3. 45 degrees.
4. 52 degrees.
Evaluate -5-15+4+15−5−15+4+15minus, 5, minus, 15, plus, 4, plus, 15.
Answer:
-2
Step-by-step explanation:
ur welcome
-1
Step-By step Explanation:
how much does 18cm are in mm
I CAN GIVE BRAINLIEST!!!!!!
Answer: 2/1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Line is passing through the points (2, 3) & (5, 9)
Slope = (9 - 3)/ (5 - 2) = 6/3 = 2
Slope of the line is 2.
express following
Following numbers in the
Standard form: 3.091403
for you
Answer:
[tex]3.10* 10^0[/tex]
Step-by-step explanation:
Given
[tex]3.091403[/tex]
Required
Express in standard form
A number in standard form can be expressed as:
[tex]a * 10^b[/tex]
Where
[tex]1 \leq a \leq 10[/tex]
i.e.
a is between 1 and 10 (inclusive) and preferable, a should be in 2 decimal places
We have that:
[tex]3.091403[/tex] is between 1 and 10.
So, in standard form it is:
[tex]3.091403 * 10^0[/tex]
Approximate to 2 decimal places
[tex]3.10* 10^0[/tex]
Hence, the standard form of [tex]3.091403[/tex] is [tex]3.10* 10^0[/tex]
Nisha did the work below to solve an equation.
Step 1 7b+3.2b-5=18.92
Step 2 10.2b-5=18.92
Step 3 5.2b= 18.92
Step 4 b=3.64.
In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3.
Step-by-step explanation:
When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:
10.2b = 18.92 + 5 = 23.92.
Answer: step 3
Step-by-step explanation:
1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist