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Ksju [112]
3 years ago
5

A carnival game wheel has 12 equal sections. One of the sections contains a star . To win a prize the player must land on the se

ction with the star on two
consecutive spins. What is the probability of a player winning?


Please give a detailed answer
Mathematics
1 answer:
krok68 [10]3 years ago
7 0
The probability of landing a star is 1/12 and when you spin it again because nothing has changed it is still 1/12 to find the probability you would multiply them. So 1/12 x 1/12 = 1/144
the probability of landing on a star two consecutive times is a 1/144 chance.
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Triangles PQR and RST are similar right triangles. ​ ​​Which proportion can be used to show that the slope of LaTeX: \overline{P
alukav5142 [94]

<em>Question:</em>

<em>Triangles PQR and RST are similar right triangles.  Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>

Answer:

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

P = (-7,7)

Q = (-7,3)

R = (-4,3)

S = (-4,5)

T = (2,-5)

First, we need to calculate the slope (m) of PQR

Here, we consider P and R

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

P(x_1,y_1) = (-7,7)

R(x_2,y_2) = (-4,3)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{3 - 7}{-4 - (-7)} --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

R(x_1,y_1) = (-4,3)

T (x_2,y_2)= (2,-5)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-5 - 3}{2 - (-4)} ---------- (2)

Next, we equate (1) and (2)

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

<em>From the list of given options (see attachment), option A answers the question</em>

4 0
2 years ago
PLS HELP! GIVING BRAINLIEST FOR CORRECT ANSWER! THANKS!<br> look at provided image.
denis-greek [22]

Answer:

your correct

Step-by-step explanation:

good luck

3 0
2 years ago
Oh no! Thomas is lost in the GGBL building after an exam, and trying to get out. Thereare four identical hallways leading away f
Brums [2.3K]

Answer:

Check the explanation

Step-by-step explanation:

Since each and every one of the 4 hallways is equally likely then

P(H1)=1/4P(H2)=1/2P(H3)=1/4

Now, if he chooses H1 he escapes after 12 minutes then

E(T|H1)=12

If he chooses H2 then he wastes 10 minutes and then he is again in the same starting

position so he expects to escape in E(T) minutes, then

E(T|H2)=10+E(T)

Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting

position so he expects to escape in E(T) minutes, then

E(T|H3)=40+E(T)

Therefore

E(T) = E(T|H1)P(H1) + E(T|H2)P(H2) + E(T H3)P(H3) = (12) + (E(T) +10) + (E(T) + 40) = 3+ *E(T)+5+ 10 = E(T) +18 CON A'

So we have

E(T) = E(T) + 18 E(T) = 18 E(T) = 4(18) = 72

Therefore he is expected to escape in 72 minutes

7 0
3 years ago
Someone Help<br><br>What is 432 ÷ 24​
Allisa [31]

Answer:

18

24 x 18 = 432

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let's say you take an exam worth 240 points and your score marked the 78th percentile of all the exam scores. Based on this you
gladu [14]

Answer:

28%

Step-by-step explanation:

78th percentile means 78% scored less than/equal to you.

100 - 78 = 22%

3 0
3 years ago
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