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NikAS [45]
3 years ago
11

What is the value of the expression 2 + 3^2 * (5 -1)

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

38

Step-by-step explanation:

We are to solve for the expression;

2 + 3² × (5 - 1)

We should aply BODMAS here!

So starting with the brackets;

2 + 3² × 4

Then solving the multiplication part;

3² × 4 = 9 × 4 = 36

Finally adding the integers;

2 + 36 = 38

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Step-by-step explanation:

The parent function is the simplest form of the type of function given

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Slope of the line shown below
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Answer:the slope would be 7/3

Step-by-step explanation:

This is because you write the slope in rise over run form and use the two points provided to get 14/6 and reduce hat number down to 7/3.

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A scale on a drawing is .5mm : 4cm. The height of drawing is 4.4 mm. What is actual height of object
ivanzaharov [21]
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6 0
3 years ago
Again ... Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S.
VladimirAG [237]

Answer:

We conclude that the mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let \mu = <u><em>mean commute time in the U.S..</em></u>

So, Null Hypothesis, H_0 : \mu \geq 30 minutes      {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis, H_A : \mu < 30 minutes     {means that the mean commute time in the U.S. is less than half an hour}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean commute time = 27.6 minutes

            s = sample standard deviation = 19.6 minutes

            n = sample of people from the 2000 U.S. Census = 500

So, <u><em>the test statistics</em></u>  =  \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }  ~ t_4_9_9

                                       =  -2.738

The value of t test statistic is -2.738.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis.</u>

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

4 0
3 years ago
the sum of three consecutive terms in an arithmetic sequence is 30, and their product is 360. Find the tree terms
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Hello here is a solution : 

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