Answer:
The answer to your question is 450 km
Step-by-step explanation:
Data
First stage Second stage
speed 1 = 40 km/h speed 2 = 65 km/h
time 1 = 8 h time 2 = 2 h
Process
1.- Write the formula to calculate the speed
speed = distance / time
-Solve for distance
distance = speed x time
2.- Calculate the distance of the first stage
distance 1 = 40 x 8
distance 1 = 320 km
3.- Calculate the distance of the second stage
distance 2 = 65 x 2
distance 2 = 130 km
4.- Calculate the total distance
Total distance = 320 + 130
= 450 km
Hey there! I am on the same one. :) I will help you out a little.
<span>Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll?
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6
</span>
<span>Using the uniform probability model you developed, what is the probability of rolling an even number?
1/6 Roll a number cube 25 times. Record your results here.
</span><span>
<span><span>
<span>
<span>1st
toss=</span>6</span>
</span>
<span>
<span>
<span>2nd
toss=</span>4</span>
</span>
<span>
<span>
<span>3rd
toss=</span>6</span>
</span>
<span>
<span>
<span>4th
toss=</span>6</span>
</span>
<span>
<span>
<span>5th
toss=</span>3</span>
</span>
<span>
<span>
<span>6th
toss=</span>3</span>
</span>
<span>
<span>
<span>7th
toss=</span>4</span>
</span>
<span>
<span>
<span>8th
toss=</span>2</span>
</span>
<span>
<span>
<span>9th
toss=</span>6</span>
</span>
<span>
<span>
<span>10th
toss=</span>5</span>
</span>
<span>
<span>
<span>11th
toss=</span>1</span>
</span>
<span>
<span>
<span>12th
toss=</span>4</span>
</span>
<span>
<span>
<span>13th
toss = </span>5</span>
</span>
<span>
<span>
<span>14th
toss =</span>1</span>
</span>
<span>
<span>
<span>15th
toss=</span>4</span>
</span>
<span>
<span>
<span>16th
toss=</span>2</span>
</span>
<span>
<span>
<span>17th
toss=</span>2</span>
</span>
<span>
<span>
<span>18th
toss=</span>2</span>
</span>
<span>
<span>
<span>19th
toss=</span>6</span>
</span>
<span>
<span>
<span>20th
toss=</span>5</span>
</span>
<span>
<span>
<span>21st
toss=</span>3</span>
</span>
<span>
<span>
<span>22nd
toss=</span>4</span>
</span>
<span>
<span>
<span>23rd
toss=</span>3</span>
</span>
<span>
<span>
<span>24th
toss=</span>3</span>
</span>
<span>
<span>
25
toss=5
How
many results of 1 did you have? __2____________ How
many results of 2 did you have? ____4__________ How
many results of 3 did you have? ____5__________ How
many results of 4 did you have? ______5________ How
many results of 5 did you have? ______4________
How
many results of 6 did you have? ______5________
Based
on your data, what is the experimental probability of each roll?
<span>
1. 2/25 or 0.08
2. 4/25 or 0.16
3. 5/25 or 0.24
4. 5/25 or 0.2
5.4/25 or 0.16
<span>
6. 5/25 or 0.2</span></span>Using
the probability model based on observed frequencies, what is the probability of
rolling an even number?
3/6 = ½ or 0.5
Was your experimental probability
different than your theoretical probability? Why or why not?
<span>It somewhat is! The
denominator is 25 for the experimental probability, and 6 for the theoretical
probability.</span><span>
</span><span>Have a lovely day! Cheerio. :) </span></span>
</span>
</span></span>
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
No, 12 is the wrong answer. 5 is correct
This is because since a and c are congruent that means y=52. And we already know that every triangle adds up to 180 degrees so, you add A and C and get 104 (52+52).
And 180-104=76 so, 14x+6 must =76.
14(5)=70+6=76. 76+104=180, therefore, x=5.
