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garri49 [273]
2 years ago
6

The seventh grade students are having an end-of-year party in the school cafeteria. There are 754 students attending the party.

Each table seats 6 students. How many tables are needed to seat all of the students? Fill in the blanks to complete the sentences
Determine the number of tables by dividing_______ by_______. If there is a remainder, the answer will need to be rounded_______. There ______a remainder, so________ tables are needed.
Mathematics
1 answer:
valina [46]2 years ago
5 0

Answer:

Determine the number of tables by dividing 754 by 6. If there is a remainder, the answer will need to be rounded tenths or hundredths . There is a remainder, so 125.6 tables are needed.

Step-by-step explanation:

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So the answer is 102.63
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Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute
valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

       = 3 - 1 = 2

d.f.D = N - k

        = 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust                      Jet red                 Cloudtran

$\overline X_1 =50.5$           $\overline X_2 =50.07143$        $\overline X_3 =55.71429$

$s_1^2=19.96154$      $s_2^2=14.68681$         $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

         $=\frac{51+51+...+49+49}{35}$

        = 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

     $=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

   $=\frac{127.1143}{2}$

   = 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

    $=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

   $=\frac{669.8571}{32}$

  = 20.93304

The F-test  statistics value is :

$F=\frac{s_B^2}{s_W^2}$

  $=\frac{63.55714}{20.93304}$

  = 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source       Sum of squares    d.f    Mean square    F

Between    127.1143                 2      63.55714          3.036212

Within        669.8571             32      20.93304

Total           796.9714            34

3 0
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Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
borishaifa [10]

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

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2 years ago
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lawyer [7]

The Geometric mean of 4 and 10 is 6.32

<u>Explanation:</u>

Given:

Two numbers are 4 and 10

Geometric mean, GM = ?

We know,

GM = \sqrt[n]{a_1 X a_2}

Where,

n = 2

Substituting the value we get"

GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32

Thus, the Geometric mean of 4 and 10 is 6.32

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Tcecarenko [31]

Answer:

1021

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