Answer:
independent
Step-by-step explanation:
The two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.
What Are Independent Events?An Independent Event is defined as if the outcome of one event has no bearing on the outcome of the other, the two events are said to be independent events. Or, we may say that an event is considered independent if it does not affect the probability of another event. Probability-independent events mirror actual occurrences.
Martin and Eric choose their seats as they get ready to ride a roller coaster together. Eric chooses a seat from the various options after Martin does.
Because Martin's choice of seat has no impact on the seats that Eric has left to choose from, the two events are independent of one another.
Hence, the two events are independent because the seat that Martin selects does not affect the seats that are left for Eric to pick.
Learn more about the Independent Events here:
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factorise p² + pq - p³ - q² completely
Answer:
The expression is not factorable with rational numbers.
p ^2 + p q − p ^3 − q ^2
Step-by-step explanation:
What is the percent decrease from 20 to 11?
Answer:
The decrease from 20 to 11 is 9, and that is 45% of 20.
Hope this helps!
A car travelling at a constant speed travels 90km in 50 min .How far travelling at the same constant speed will the car travel in 2 hours and 25 minutes?
Answer:
261 km
Step-by-step explanation:
given,s=constant
d1/T1=d2/T2
d1=90km,t1=50 min
d2=? ,t2=(120+25)min
=145min
therefore,d2=(90×145)/50
=261 km
Write the fraction as a decimal.
Round to the nearest hundredth.
7/18~ [?]
Answer:
0.39
Step-by-step explanation:
7/18= 3.888888888
round up
0.39
Which table represents the function?
. Find f(3) for the following function
[tex]f(x)=3(2)^x+6[/tex]
a.f(3) = 222
b.f(3) = 9
c.f(3) = 24
d.f(3) = 30
Answer:
[tex]\boxed {\boxed {\sf D. \ f(3)= 30}}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)= 3(2)^x+6[/tex]
We want to find f(3), so we must substitute 3 in for x.
[tex]f(3)= 3(2)^3+6[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.
2³= 2*2*2= 4*2= 8[tex]f(3)= 3(8)+6[/tex]
Multiply 8 and 3.
[tex]f(3)= 24+6[/tex]
Add.
[tex]f(3)=30[/tex]
For the function given, f(3) is 30.
Write all the factors of 26
Use commas to separate them.
1,2,13,26
Theses are the factors of 26
26
------------
1 | 26
2 | 13
1,2,13,26
---
hope it helps
find the inverse of y=100-x^2
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long that leads to the center of the mound. Help Marrero find perpendicular distance x from the end of the walkway to either side of the mound.
Answer:
108 ftStep-by-step explanation:
The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.
Horizontal leg is the distance x.
Vertical leg has the length:
(250)/2 - 62 = 63 ftUsing Pythagorean theorem to find the length of x:
x² = (250/2)² - 63²x² = 125² - 63²x² = 11656x = √11656x = 107.96 ≈ 108What is the image point of (2, 4) after a translation left 4 units and
down 1 unit?
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82 ( 1.045 ) x
What is the rate of growth Michael expects each week after launching the website?
A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%
Answer:
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
What is the rate of growth Michael expects each week after launching the website?
The answer will be %0.045
Step-by-step explanation:
The rate of growth Michael expects each week after launching the website is 4.5%.
Given that,
The function is y = 82 (1.045)x.We need to find the rate of growth.Based on the above information, the calculation is as follows:
Since 1.045 is given so this means 4.5% is the growth rate.
Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.
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Can someone help me please.in school.
can you send a closer pic?
If the following data were linearized using logarithms, what would be the equation of the regression line? Round the slope and y-intercept of the regression line to three decimal places. y 2 21 3 69 4 261 5 1029 6 4101
Answer:
log y = 0.576x + 0.139Step-by-step explanation:
Given data:
x | 2 | 3 | 4 | 5 | 6 y | 21 | 69 | 261 | 1029 | 4101Logarithms of y-values:
log 21 = 1.322log 69 = 1.839log 261 = 2.417log 1029 = 3.012log 4101 = 3.613The ordered pairs:
(2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)Using an online calculator found the equation of the regression line:
y = 0.576x + 0.139In our case it is:
log y = 0.576x + 0.139Garth is building a square shaped frame for a mirror. The area of the mirror is 144 square inches. How long is each side of the frame, in inches?
Answer: 12 inches
Step-by-step explanation:
This is a square shaped mirror which means that it takes the shape of a square.
All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.
Length of each side = √area
= √144
= 12 inches
Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
Similar polygons
10 points!!
Answer:
7
Step-by-step explanation:
if the stick is 7.5 divide that by 3 and you get 2.5 so divide 17.5 by 2.5 and you get 7 .
try to zoom in the picture if you can’t see the numbers , but can someone please help me with this ?
Step-by-step explanation:
This is my answer, if you need it
Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
9514 1404 393
Answer:
ΔABC ~ ΔPQRPQ = 8PR = 14Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x
round off to the nearest hour 10 :54
Answer:
11
Step-by-step explanation:
the closest whole number on the hour is 11
Which is the equation of a line with a slope of -1 and a y-intercept of -6?
A y = -6x - 1
B y = -x - 6
C y = x - 5
D y = x + 6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 and c = - 6 , then
y = - x - 6 → B
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Which of these is a function please answer.
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a functionFind a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
On a snowy winter's eve, two candles are lit at the exact same time. A 18-inch candle and a 21-inch
candle are lit at the exact same time. The 18-inch candle burns 2 inches every hour. The 21-inch
candle burns 3 inches every hour.
Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3
Jessica has 1,386 books. She must pack them into boxes to ship to a bookstore. Each box holds 10 books. How many boxes will she need to pack all of the books?
Gregs parents tell him if he works more than 60 hours in May, they will buy him a new lawn mower. In the month of May, Greg earns $1,387-50. Are Greg's parents going to buy Greg a new lawn mower?How many hours did he work?Expain using math terms and words.
Answer:
how much money did he make an hour ?? you cant calculate hours if you dont know his rate
Step-by-step explanation:
total made / hourly rate = hours worked and then you can determine if he gets a lawn mower
4s - 3
9r - 17
3r + 13
7s
Solve for s
Step-by-step explanation:
step 1. the diagram is very unclear and should be redone
step 2. I'll assume 9r - 17 and 3r + 13 are vertical angles and are equal
step 3. 9r - 17 = 3r + 13
step 4. 6r = 30 or r = 5
step 5. I'll assume 4s - 3 and 7s - 24 are alternate interior angles and are equal
step 6. 4s - 3 = 7s - 24
step 7. 3s = 21 or s = 7.