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Anika [276]
3 years ago
13

Pls pls help i realy need help

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

a <= 3

Step-by-step explanation:

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Pauline rides his bike to school in 6 2/5 minutes. If it takes Dylan 4 1/2 times as long to get to school, how long would it tak
zvonat [6]

6 and 2/5 times 4 and 1/2 = 28.8 or 28 and 4/5 minutes

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1 year ago
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If sally saves 18% of the money she has earned ($200) how much money does she have left?
Vikentia [17]

Answer:

164$

Step-by-step explanation:

18 percent of 200 is 36.

so subtract the 36 from 200 and get 164

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3 years ago
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2 years ago
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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Becky bought a new Apple computer for $1,205. The purchase price included a 6% sales tax. What's the actual selling price of the
blagie [28]

Answer:

D. $1,136.79

Step-by-step explanation:

In this example, we want to learn what the original price of the computer would be if the price is $1,205, and this includes a 6% sales tax. This means that this price is 106% of the original price (100% is the price, while 6% is the tax). Therefore:

1205 * 1.06 = 1136.79

7 0
3 years ago
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