Answer: 11 years
Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11
Answer: it will take 11 years
Plz guys I need help
the answer will be 16x
1 gallon 16x as constant variable
Luiz and Bianca are brother and sister and go to the same school. Luiz walks to school using a footpath, a distance of 900 m, and he walks at 1.5 m/s. Bianca cycles to school along the roads, a distance of 1.5 km, and she cycles at 5 m/s. They both plan on arriving at school by 8.55 a.m. Who leaves home first and by how much?
Answer:
Luis leaves home first and he leaves 5 minutes before Bianca
Step-by-step explanation:
dL (distance travelled by Luis) = 900 m
sL(Luis'd speed) = 1.5 m/s
tL = time taken by Luis = dL/sL = 900/1.5 = 600 seconds = 10 mins
So Luis would need to leave home at 8:45 am
dB = 1.5 km = 1500 m
sB = 5 m/s
tB = dB/sB = 1500/5 = 300 seconds = 5 minutes
So Biance would leave home at 8:50 am
Which function shows a positive rate of change?
Answer: C
Step-by-step explanation:
C. because rate of change is the slope aka y/x. The other answers give off negative slopes when determining y/x.
Suppose that f (x) = 1.5x2 for -1 < x < 1 and f (x) = 0 otherwise. Determine the following probabilities.
a. P(0 < X)
b. P(0.5 < X)
c. P(-0.5 = X = 0.5)
d. P(X<-2)
e. P(X < 0 or X>-0.5)
f. Determine x such that P(x < X) = 0.05.
Answer:
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Step-by-step explanation:
Given that;
f(x) = 1.5x²
Now. the probabilities would be the integral of the given function from (-1 to 1)
a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
= (1/2)x³
= 1/2 - 0
= 0.5
Therefore; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
this will also be done in the same way except that, the limits changes to { 0.5 to 1]
= (1)³/2 - (0.5)³ /2
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
= (0.5)³/2 - (-0.5)³/2
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let the value be 'a'
Then, integral from -1 to a will = 0.05
a³ - (-1)³ = 0.05 × 2
a³ + 1 = 0.10
a³ = 0.10 - 1
a³ = -0.9
a = ∛-0.9
a = -0.9654
Therefore, value of x is -0.9654
a) P(0 < X) = 0.5
b) P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5) = 0.125
d) P(X< -2) = 0
e) P(X < 0 or X>-0.5) = 1
f) value of x is -0.9654
Determine the following probabilities:a) P(0 < X)
P(X > 0)
⇒ Integral from 0 to 1 of f(x)
[tex]= (1\div 2)x^3\\\\= 1\div2 - 0[/tex]
= 0.5
So; P(0 < X) = 0.5
b) P(0.5 < X)
P(X > 0.5)
Now
[tex]= (1)^3\div 2 - (0.5)^3 \div2[/tex]
= 0.4375
Therefore; P(0.5 < X) = 0.4375
c) P(-0.5 = X = 0.5)
The limits become [-0.5 , 0.5]
[tex]= (0.5)^3\div 2 - (-0.5)^3\div 2[/tex]
= 0.125
Therefore; P(-0.5 = X = 0.5) = 0.125
d) P(X<-2)
since value of f(x) = 0 in that region
Therefore P(X< -2) = 0
e) P(X < 0 or X>-0.5)
= P(X < 0) + P(X > -0.5) - P( -0.5 < X < 0 )
= 0.5 + 0.5625 - 0.0625
= 1
Therefore; P(X < 0 or X>-0.5) = 1
f) Determine x such that P(x < X) = 0.05.
Let us assume the value be 'a'
So, integral from -1 to a will = 0.05
[tex]a^3 - (-1)^3 = 0.05 \times 2\\\\a^3 + 1 = 0.10\\\\a^3 = 0.10 - 1\\\\a^3 = -0.9\\\\a = \sqrt[3]{-0.9}[/tex]
a = -0.9654
Therefore, the value of x is -0.9654
Learn more about the probabilities here: https://brainly.com/question/24710931
8.44 = 34.6 + 4h/5
Helpppppp!!!
Answer:
h = -32.7
Step-by-step explanation:
8.44 = 34.6 + 4h / 5
-26.16 = 4h/5 (First off we subtract 34.6 from each side, to make it easier to solve)
-26.16 = 0.8h (Then, we turn 4h/5 into 0.8h since 4h / 5 = (4/5)h.)
-32.7 = h (Divide both sides by 0.8..)
h = -32.7 (And voila!! Your answer is right there!)
Fill in the blanks. After conducting research around the country, Ford Motor Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71. If there are 3,682 Ford vehicles in your town, around __________ cars will be driven by females, give or take __________. Assume each car represents an independent tria
Answer:
2614 cars will be driven by females, give or take 28.
Step-by-step explanation:
For each Ford vehicle, there are only two possible outcomes. Either it is driven by a female, or it is not. Cars are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71.
This means that [tex]p = 0.71[/tex]
If there are 3,682 Ford vehicles in your town
This means that [tex]n = 3682[/tex]
__________ cars will be driven by females, give or take __________.
The mean and the standard deviation complete this. So
Mean: [tex]E(X) = np = 3682*0.71 = 2614[/tex]
Standard deviation: [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3682*0.71*0.29} = 28[/tex]
2614 cars will be driven by females, give or take 28.
What is the square root
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
Answer:
25
Step-by-step explanation:
250/10 = 25
Answer:
It is 25
Step-by-step explanation:
I did the test
the Elephants at the zoo eat 2 3/4 buckets of bananas each day. The zookeeper bought 5 1/2 buckets of bananas. For how many days will.the bananas last ?
Answer:
1/8
Step-by-step explanation:
2 3/4= 11/4
5 1/2= 11/2
11/2 divided by 11/4 = 1/8
Consider the function given by f(x)= x² +3. Find its average rate of change from x = -2 to x = 4.
Carefully show the work that leads to your final answer.
Answer:
[tex]Rate = 2[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 3[/tex]
Required
Determine the average rate of change from -2 to 4
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex]a = -2[/tex]
[tex]b = 4[/tex]
So, we have:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 - (-2)}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{4 +2}[/tex]
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
Calculate f(4):
[tex]f(x) = x^2 + 3[/tex]
[tex]f(4) = 4^2 + 3[/tex]
[tex]f(4) = 19[/tex]
Calculate f(-2)
[tex]f(x) = x^2 + 3[/tex]
[tex]f(-2) = (-2)^2 + 3[/tex]
[tex]f(-2) = 7[/tex]
So:
[tex]Rate = \frac{f(4) - f(-2)}{6}[/tex]
[tex]Rate = \frac{19-7}{6}[/tex]
[tex]Rate = \frac{12}{6}[/tex]
[tex]Rate = 2[/tex]
The average rate of change is 2.
Prove that the value of the expression: 731^3−631^3 is divisible by 100
Answer:
is divisible by((731^3) - (631^3), 100) = True
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)
By Substitution, (731-631) ( 731^2 + 731x631 +631^2)
= 100 ( 731^2 + 731x631 +631^2)
Therefore it is divisible by 100
At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?
Answer:
The sunflower's height when it was planted.
Step-by-step explanation:
The sunflower's height in inches, h, after weeks, is given by the equation :
h=2.5w + 19
We need to tell that what the number 19 represent in the equation.
If we put w=0, we get,
h=2.5(0) + 19
h = 19 inches
It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."
Please help answer these math question will give brainless.. :)
Gabi and Lauren picked apples on Saturday. Gabi’s bucket had 20 apples and Lauren’s basket had 1 2/5 times as many apples as Gabi. How many apples did Lauren have?
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Gabi has 20
Lauren has 20 * 1 2/5
20*1 2/5 = 20*7/5 = 28
there are 8 circles and 6 squares. what is the simplest ratio of squares to circles?
Answer:
4:3
Step-by-step explanation:
Given function:
8 circle by 6 squaresDivide similar factor by each term:
[tex]8=4[/tex]·[tex]2[/tex] [tex]6=3[/tex]·[tex]2[/tex]Rewrite:
[tex]4:3[/tex]Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Use the notation "4H", for example, to denote the outcome that the die comes up "4" and the coin comes up "heads", and "3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin.
a. Construct a tree diagram to show the 18 elements of the Sample Space S.
b. List the elements corresponding to the event A that a number less than 3 occurs on the die.
c. List the elements corresponding to the event B that two tails occur.
d. List the elements corresponding to the event C that a head and tail occur.
e. List the elements corresponding to the event A'.
f. List the elements corresponding to the event A' ∩B.
g. List the elements corresponding to the event A ∪ B.
h. Draw a Venn diagram to illustrate events A, B, and C.
i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
Answer:
Kindly check attached picture and explanation
Step-by-step explanation:
A.) The tree diagram is attached in the picture below.
B.) Number less than 3 :
Event A:
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
C.)
Event B:
B = {1TT, 3TT, 5TT}
D.)
Event C:
C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}
E.)
A' = Elements not in A = number ≥ 3
A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
Question f and G are not well formatted ;
h. Check attached picture
I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
A and B are mutually exclusive if AnB = ∅
Check :
AnB = {1TT}
Hence, A and B are not mutually exclusive
A and C
AnC = {1HT, 1TH}
A and C are not mutually exclusive.
B and C
BnC = ∅
B and C are mutually exclusive
Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B
Answer:
b
Step-by-step explanation:
its b because you add the 3.4n +2.5n then you subtract -5.3+2.8
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time
6y - 9x = 24
-3y + 2x=7
Answer:
(x, y) = (-38/5, -38/5)
Step-by-step explanation:
6y - 9x = 24
-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.
Adding the two equtions together, we get:
(6y - 9x) + (-6y + 4x) = 24 + 14.
Simplifying, we get:
-9x + 4x = 38
-5x = 38
x = -38/5.
So, 6y - 9 * (-38/5) = 24
y = -37/5
Answer:
Step-by-step explanation:
6y - 9x = 24
-6y + 6x = 21
-3x = 45
x = -15
-3y - 30 = 7
-3y = 37
y = -37/3
3(c − 2) = 15 what’s the value of c?
Answer: 7
Step-by-step explanation:
Distribute
3c - 6 = 15
Add 6 to both sides
3c = 21
Divide 3 to both sides
c = 7
The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is graft at (N, -2). The distance from P to Q is equal to the distance from P point R. What is the distance from point P to point Q? What is the value of N? Explain how you determine the distance from point B to point Q, and the value in. The graph shows the location of P in point R. Point are is on the Y axis and has the same Y coordinate of point P
Answer:
I cant understand read ur lesson and ask help from ur teacher
#CarryOnLearning
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
Help this is really hard
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
x=18, y=45
Step-by-step explanation:
I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x. 10x=180 x=18.
Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135
y=45
Please help!!! will give brainliest!
Answer:
C
Step-by-step explanation:
circumfrence = 2 pi r
= 20* 3.14= 2*31.4= 62.8
or c
if my answer helped please mark as brainliest.
Answer:
62.8
Step-by-step explanation:
If your not aloud to don't but if you look it up there's a really good calculator.
La magnitud de un ángulo depende de la longitud de sus lados verdad o falso
Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.
¿De que depende la magnitud de un ángulo?
La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.
En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.
Sí quieres aprender más sobre ángulos, puedes leer:
https://brainly.com/question/15755958
X-9= -6
Please help me answer this question ASAP
Answer:
its 3
Step-by-step explanation:
Tina is 4 times older than Hanna. The sum of their ages is 40. How old is Hanna?
Answer:
Hanna is 8 years old.
Step-by-step explanation:
Hanna = x
Tina = 4x
Sum = 40.
Hanna =?
Hanna + Tina = 40
4x + x = 40
5x = 40
x = 40/5
x = 8.
Hanna is 8 years old.
Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:
Answer:
Daniel does have enough money to make this car payment
Step-by-step explanation:
Addition and Subtraction
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
Set up a proportion and use it to solve for x.
X
64
48
Show all work for full credit.
Answer:
−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54
Step-by-step explanation:
Sum is 3 then 5