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julsineya [31]
2 years ago
10

A board game uses a fair six-sided die and a spinner with five-equal sized sections colored dark blue, green, light blue, red, a

nd yellow. Players roll the die then spin the spinner. Match each probability to its correct value. The probability of getting a
Mathematics
1 answer:
marysya [2.9K]2 years ago
6 0

Answer:

\frac{1}{30}

Step-by-step explanation:

The computation of the probability is shown below:

P(die and spinner) is

= Probability of the die × probability of the spinner.

where,

Probability of the die is

= \frac{1}{6}

And for the spinner, the probability is

= \frac{1}{5}

Therefore the probability of both die and inner is

= \frac{1}{6} \times \frac{1}{5}

= \frac{1}{30}

We simply multiplied the probabilities of both die and spinner

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A tower stand on a horizontal plane. P is the top and Q is the bottom of the tower. A and B are two points on this plane such th
pochemuha

Answer:

32√5

Step-by-step explanation:

We have the right triangles PQA and PQB as well as the given right triangle QAB.

cot(PAQ) = 2/5 = QA/PQ

cot(PBQ) = 3/5 = QB/PQ

cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3

cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB

QA / QB = 2/3

QA = (2/3) QB

QB = (3/2) QA

By the Pythagorean Theorem we have:

(QA)² + 32² = (QB)²

(QA)² + 32² = (3/2 QA)²

(QA)² + 1024 = (9/4) (QA)²

(5/4) (QA)² = 1024

(QA)² = (4/5)1024 = 4096/5

QA = 64/√5

Solve for PQ.

cot(PAQ) = QA/PQ

PQ = QA / cot(PAQ)

PQ = (64/√5) / (2/5) = 32√5

The height of the tower is 32√5.

7 0
3 years ago
X y
Fudgin [204]
A because the table doesn’t have a constant rate of change
6 0
3 years ago
What is the line of symmetry for the parabola whose equation is y = 3x2 + 24x - 1?
meriva
Hello :
<span>y = 3x2 + 24x - 1
   = 3(x²+8x) -1
   = 3 (x² +2(4)(x) +4²- 4² ) -1
   = 3((x+4)² -16)-1
y = 3(x+4)² - 49
</span><span>the line of symmetry is : x= - 4</span>
8 0
2 years ago
Read 2 more answers
What is the solution to the equation 9k = 40.5?<br><br> k= 4<br> k= 4.5<br> k= 5
Scilla [17]

Answer:

k=4.5

Step-by-step explanation:

40.5/9

3 0
3 years ago
Read 2 more answers
∆ABC is a right angled at B and D is a point on BC if AD = 18cm BD = 9cm and CD =4cm Find AC
Gemiola [76]

In triangle, ABD,

AD²= AB²+BD²

AB² = AD²-BD²

AB² = 18²-9² = 324-81 = 243

AB = √243

In triangle, ABC,

AC² = AB²+BC²

AC² = (√243)²+(13)²

AC² = 243+169

AC = √412

AC = 20.29

3 0
3 years ago
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