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jolli1 [7]
3 years ago
13

How do slope angle relate to delta y

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

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Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
Tasya [4]

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

7 0
3 years ago
Marsha gave the cashier $20 to pay for 3 pairs of socks the cashier gave her $5.03 in change. each pair of socks cost the same a
eduard

Answer:

$4.99

Step-by-step explanation:

20-5.03=14.97

14.97/3=4.99

5 0
3 years ago
A group of friends went to the movies. Movie tickets cost $8.50 each. One of the group bought some food for $6.50. The group spe
Liula [17]

Answer:

Equation: 8.5t+6.5=57.5

Solution: t=6

Step-by-step explanation:

Let be "t" the number of movie tickets bought by the group of friends.

According to the information given in the exercise, the price of each movie ticket is: $8.50.

Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

8.5t

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

8.5t+6.5

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

8.5t+6.5=57.5

Finally, you can solve for "t" in order to find the solution of the equation. This is:

8.5t=57.5-6.5\\\\t=\frac{51}{8.5}\\\\t=6

3 0
3 years ago
Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side
Liono4ka [1.6K]

so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}

6 0
3 years ago
Coach Smart's track team is selling pizza kits in order to raise money to attend the State Track competition. The pizza kits cos
PIT_PIT [208]

Answer:

24p=m

Step-by-step explanation:

6 0
3 years ago
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