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2 years ago

June and Angad have played 30 tennis matches.

Mathematics

1 answer:

Bad White [126]2 years ago

7 0

Answer:

Step-by-step explanation:

a) P (June) = 7/15

b) P (Angad) = 8/15

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5#The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation

kirza4 [7]

We want to find the value that makes

$P(X\ge x)=0.2$

To find it we must look at the standard normal table, using the complementary cumulative table we find that

$P(Z\ge z)=0.20045\Leftrightarrow z=0.84$

Then, using the z-score we can find the minimum score needed, remember that

$z=\frac{x-\mu}{\sigma}$

Where

σ = standard deviation

μ = mean

And in our example, x = minimum score needed, therefore

$\begin{gathered} 0.84=\frac{x-480}{105} \\ \\ x=0.84\cdot105+480 \\ \\ x=568.2 \end{gathered}$

Rounding to the nearest integer the minimum score needed is 568, if you get 568 you are at the top 20.1%.

7 0

1 year ago

In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago

A triangle is rotated 90about the origin. Which rule describes the transformation

Gennadij [26K]

Answer:

Rotation

Step-by-step explanation:

5 0

3 years ago

A * b = 3a - 2b<br><br>2*(6*4)=<br><br>working please!!!

Pachacha [2.7K]

Answer:

A = 4

B = 2

2* (6 * 4) = 48

<u><em>Please mark as brainliest if answer is right </em></u>

Have a great day, be safe and healthy

Thank u

6 0

2 years ago

Read 2 more answers

Given the parent function f(x)=x^3 give the best description of the graph of y = -(2x)^3

GalinKa [24]

Answer:

Reflect and compress

Step-by-step explanation:

7 0

3 years ago