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yan [13]
3 years ago
12

Find four consecutive numbers whose sum equals 218

Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0

Answer:

53+54+55+56

Step-by-step explanation:

I don't remember equation but I know this is the because I can roughly estimate the numbers by dividing by four and going from there

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15.5 × [(2 × 2.4) + 3.2] – 16
ch4aika [34]

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108

Step-by-step explanation:

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A drawer contains unmatched socks. There are 7 black, 4 blue, and 5 white. What is the probability that you will select a white
kotykmax [81]

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Step-by-step explanation:

8.3

6 0
3 years ago
Express the shaded area as a fraction, a decimal, and a percent of the whole.
ANEK [815]

Answer:

Fraction:7/10 Decimal:0.7 Percent:70%

Step-by-step explanation:

3 0
3 years ago
Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th
Ksju [112]

Answer:

We conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

Step-by-step explanation:

We are given that Bottles of a popular cola drink are supposed to contain 300 ml of cola. The distribution of the contents is normal with standard deviation of 3 ml.

A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are: 299.4, 297.7, 301.0, 298.9, 300.2, 297.0

<u><em>Let </em></u>\mu<u><em> = mean contents of cola bottles.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq  300 ml   {means that the mean contents of cola bottles is more than or equal to the advertised 300 ml}

Alternate Hypothesis, H_A : \mu < 300 ml   {means that the mean contents of cola bottles is less than the advertised 300 ml}

The test statistics that will be used here is <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 contents of cola bottle = \frac{\sum X}{n} = 299.03 ml

            \sigma = population standard deviation = 3 ml

            n = sample of bottles = 6

So, <em><u>test statistics</u></em>  =  \frac{299.03-300}{\frac{3}{\sqrt{6} } }     

                               =  -0.792

<em>Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is more than the critical value of z as -0.792 > -1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that the mean contents of cola bottles is more than or equal to the advertised 300 ml.

8 0
3 years ago
On a recent quiz, the class mean was 74 with a standard deviation of 3.7. Calculate the z-score (to 2 decimal places) for a pers
Licemer1 [7]
<h3>Answer:  -0.81</h3>

Work Shown:

z = (x - mu)/sigma

z = (71 - 74)/(3.7)

z = -0.8108  approximately

z = -0.81

7 0
3 years ago
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