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wolverine [178]
3 years ago
13

Isabel is riding on a bike course that is 36 miles long. So far , she has ridden 9 miles of the course. What Percentage of the c

ourse has isabel ridden so far ?
Mathematics
2 answers:
Margaret [11]3 years ago
4 0
This is one fourth of the course, so 25%.
tatiyna3 years ago
4 0

Answer: 25%

Step-by-step explanation: 9 is 25% of 36.

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7 oz, 13 sandwiches, 22.75 oz, and  30.33 oz.

Step-by-step explanation:

4 0
2 years ago
425 is decreased to 319
tatuchka [14]
425 is decreased to 319.

The above statement means that a number should be deducted from 425 to get the difference of 319.

Let x be the unknown number.

425 - x = 319
425 - 319 = x
106 = x

106 is the unknown number.

It can be phrased like this: 425 decreased by 106 is 319.
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2x - 3y = - 2

3x - 2y = 12

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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

              Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = true proportion = 0.04

           n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( \hat p < 0.03)

       P( \hat p < 0.03) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } } ) = P(Z < -1.27) = 1 - P(Z \leq 1.27)

                                                                      = 1 - 0.89796 = 0.10204

Now, in the z table the P(Z \leq x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0
3 years ago
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