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3 years ago

36 and 60 in exponential form

Mathematics

1 answer:

irina [24]3 years ago

6 0

36= 2² x 3²
60= 2² x 3 x 5

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Q4.

Levart [38]

Probabilities are used to determine the chances of an event

The probability of choosing a black counter is 0.6
The probability that both counters are white is 0.16

<h3>(a) Probability of selecting two blacks</h3>

The probability is given as:

$P(Black\ n\ Black)=0.36$

Apply probability formula

$P(Black) \times P(Black)=0.36$

Express as squares

$P(Black)^2=0.36$

Take the square root of both sides

$P(Black)=0.6$

Hence, the probability of choosing a black counter is 0.6

<h3>(b) Probability of selecting two white counters</h3>

In (a), we have:

$P(Black)=0.6$

Using the complement rule, we have:

$P(White) = 1 - P(Black)$

So, we have:

$P(White) = 1 -0.6$

Evaluate

$P(White) = 0.4$

The probability that both counters are white is then calculated as:

$P(White\ and\ White) = P(White) \times P(White)$

So, we have:

$P(White\ and\ White) =0.4 \times 0.4$

$P(White\ and\ White) =0.16$

Hence, the probability that both counters are white is 0.16

Read more about probabilities at:

brainly.com/question/15858152

6 0

2 years ago

(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

8 0

3 years ago

Ron cycles 12Km due west and then 9Km due north. Find the shortest distance covered by him to reach his starting point?

svp [43]

Shortest distance 55 feet long

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2 years ago

6 Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?

lana66690 [7]

The answer should be 5n+3r

8 0

3 years ago

PLEASE HELP! I will give you the brainiest and A LOT of points!

Alja [10]

Answer:The solution is in the attached file

Step-by-step explanation:

7 0

2 years ago