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ASHA 777 [7]
3 years ago
8

Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math.

To help her concentrate better on math, she spends 20 minutes more dancing than doing math.
How much time does Pam spend on practicing math every day?
Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0
110 because when you basically spend most of your time in math you become a math genius and then you whole family is proud of you thank you
Montano1993 [528]3 years ago
4 0

Answer: She would do math for 40 minutes

We know that Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better on math, she spends 20 minutes more dancing than doing math. 

Step-by-step explanation:

20 does not equal 80, so no, she cannot spend 60 minutes dancing each day. For variable "d" to equal 80 then she would have to do math for 40 minutes

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f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a
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Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ Binom(n=300,p=0.198)

For approximating binomial distribution into normal distribution, firstly we have to calculate \mu and \sigma^{2} .

Mean of Normal distribution, \mu = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution,\sigma^{2} = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N(\mu = 59.4 , \sigma^{2} = 47.64)

The standard normal z score distribution is given by;

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

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

  P(X >= 50) = P(X > 49.5)  {using continuity correction}

  P(X > 49.5) = P( \frac{X-\mu}{\sigma} > \frac{49.5 - 59.4}{6.9} ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

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