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Bezzdna [24]
2 years ago
6

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  

XD  

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:

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3 years ago
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