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3 years ago

9

Ms. Shaw wants to go on vacation to Brazil the cost for one ticket is $985 if she goes with a group the ticket price is marked d

own 15% how much would her ticket cost if she traveled with a group?

1 answer:

Vitek1552 [10]3 years ago

8 0

Answer:

$837.25

Step-by-step explanation:

100%-> $985

1%->$9.85

15%->$9.85×15=$147.75

85%->$985-$147.75=$837.25

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A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys

Ierofanga [76]

Answer:

A) 0.0107

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 440 seconds and a standard deviation of 40 seconds.

This means that $\mu = 440, \sigma = 40$

Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.

This is the p-value of Z when X = 348. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{348 - 440}{40}$

$Z = -2.3$

$Z = -2.3$ has a p-value of 0.0107, and thus, the correct answer is given by option A.

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3 years ago

Select the property of equality used to arrive at the conclusion. if 1/3 x=5 then x=15 the multiplication property of equality t

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If we take both sides of the equation $\frac{1}{3} x=5$ and <em>multiply either expression by 3</em>, the equality becomes

$3\cdot\frac{1}{3}x=3\cdot5\\x=15$

Multiplication of both sides of an equality by the same number keeps the equality true, and we call this property the multiplication property of equality.

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3 years ago

The ground temperature at an airport is 16 °C. The temperature decreases by 5.6 °C for every increase of 1 kilometer above the g

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0 km = 16

1km = 16 - 5,6 = 10,4

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3 years ago

Find the common ratio for this geometric sequence 8, 2, 1/2, 1/8, 1/32

kompoz [17]

Answer:

Multiply 1/4 ; dividing 4

Step-by-step explanation:

Note that in each number going from left to right, it decreases by dividing 4 each time (or multiplying 1/4)

8/4 = 2 ; 2/4 = 1/2 ; (1/2)/(4) = 1/8 ; etc.

(8)(1/4) = 2 ; (2)(1/4) = 1/2 ; etc.

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3 years ago

Read 2 more answers

A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

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3 years ago