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3 years ago

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

1 answer:

5 0

Set up multiplication/division of ratios to cancel out units you don't need for the final answer and introduce those that you do.

We have m/s and we want m/min so

(100m/s)(60s/min)=6000m/min

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What is the probability that the first spinner lands on a number even greater than 5 and the second spinner lands on purple?

Alexxandr [17]

3/32
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3 years ago

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In a department store, a $50 dress is marked, "Save 25%." What is the discount? What is the sale price of the dress?

Vedmedyk [2.9K]

Change 25% to .25. Multiply .25 by 50 to get 12.5. Subtract 12.5 from 50 to get $37.50

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3 years ago

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Original price 32; markdown 12.5% what is the retail price

kobusy [5.1K]

Hello! The mark down is 12.5%, which means that will still have to pay a portion of the price. Mark down is a discount, where the price of the item goes down. To find the amount that needs to still be paid, subtract 12.5 from 100. 100 - 12.5 is 87.5 You still have to pay 87.5% of the price. Now, let's multiply that number by 32 to get the new price. 32 * 87.5% (0.875) is 28. There. The retail price is $28.

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3 years ago

A portion of a hiking trail slopes upward at about a 6° angle. To the nearest

DedPeter [7]

Answer:

12.6 feet

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

The slope is also the tangent of the angle of the opposite side (rise) divided by the adjacent side (run)

In this problem

we have

$m=tan(6^o)$

$run=120\ ft$

$rise=?$

substitute

$tan(6^o)=\frac{rise}{120}$

$rise=tan(6^o)(120)=12.6\ ft$

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3 years ago

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

4 0

3 years ago