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kozerog [31]
2 years ago
7

please help thank you

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

k(-3)=36(2)

hope it helps

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Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0
3 years ago
Which of the following is equivalent to <br><br> 3x−4y=18?
sammy [17]

The equation which is equivalent to the equation as given in the task content is; 6x -8y = 36.

<h3>Which equation is equivalent to the equation as given in the task content?</h3>

According to the task content, it follows that the equation which is given in the task content is;

3x -4y = 18.

Hence, upon multiplication of the whole equation by 2; the resulting equation from the multiplication is;

6x -8y = 36

Ultimately, the equivalent equation is; 6x -8y = 36.

Read more on equivalent equations;

brainly.com/question/26437692

#SPJ1

8 0
1 year ago
Please help me with this. I forgot the formula for this
Lapatulllka [165]
There is the formula now just plug in the values and you will get your answer.

7 0
3 years ago
Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean
Maurinko [17]

Answer:

N= 4543 Labrador retrievers

Step-by-step explanation:

We know that the mean \mu is:

\mu = 62.5

and the standard deviation \sigma is:

\sigma=2.5

The probability that a randomly selected Labrador retriever weighs less than 65 pounds is:

P(X

We calculate the Z-score for X =65

Z = \frac{X-\mu}{\sigma}\\\\Z =\frac{65-62.5}{65}=1

So

P(X

Looking in the table for the standard normal distribution we have to:

P(Z.

Finally the amount N of Labrador retrievers that weigh less than 65 pounds is:

N = P(X

N = 0.8413*5400

N= 4543 Labrador retrievers

6 0
3 years ago
Help me fast ASAP pls
Aleonysh [2.5K]

Answer:

C

Step-by-step explanation:

I got it right

5 0
2 years ago
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