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3 years ago

Can someone help me with this question please.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

56 , 13 , 13 , 13

Step-by-step explanation:

That multiple of 19 is

=> 19 * 3 = 57

Now, the quantity left

=> 96-57 = 39

This can be divided equally into 3 number.

=> 39/3 = 13

So, 3 13's will come in the next boxes.

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

crimeas [40]

Answer:

Step-by-step explanation:

Mean = (29.7 + 29.4 + 31.7 + 29.0 + 29.1 + 30.5 + 29.1 + 29.8)/8 = 29.7875

Mean = 29.7875 × 1000 = $29787.5

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (29.7 - 29.7875)^2 + (29.4 - 29.7875)^2 + (31.7 - 29.7875)^2 + (29.0 - 29.7875)^2 + (29.1 - 29.7875)^2 + (30.5 - 29.7875)^2 + (29.1 - 29.7875)^2 + (29.8 - 29.7875)^2 = 5.88875

Standard deviation = √(5.88875/8

s = 0.88

s = 0.88 × 1000 = $880

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0:µ ≤ 30000

For the alternative hypothesis,

H1:µ > 30000

This is a right tailed test.

b) The decision rule is to reject the null hypothesis if the significance level of 0.05 is greater than the probability value. If it is otherwise, we would fail to reject the null hypothesis.

c) Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 8

Degrees of freedom, df = n - 1 = 8 - 1 = 7

t = (x - µ)/(s/√n)

Where

x = sample mean = 29787.5

µ = population mean = 30000

s = samples standard deviation = 880

t = (29787.5 - 30000)/(880/√8) = - 0.68

We would determine the p value using the t test calculator. It becomes

p = 0.26

d) Since alpha, 0.1 < the p value, 0.26, then we would fail to reject the null hypothesis.

6 0

3 years ago

Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v

mr Goodwill [35]

Answer:

a) Mean= 15, standard deviation= 5.1575

b) Mean= 15, standard deviation= 3.6469

c) See below

Step-by-step explanation:

(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.

The mean using the ten known values is

$\bar x=\frac{17+6+12+14+20+23+9+12+16+21}{10}=15$

The standard deviation is

$\small s=\sqrt{\frac{(17-15)^2+(6-15)^2+(12-15)^2+(14-15)^2+(20-15)^2+(23-15)^2+(9-15)^2+(12-15)^2+(16-15)^2+(21-15)^2}{10}}=5.1575$

(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

$\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15$

The new standard deviation is now

$s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469$

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

4 0

3 years ago

6 more than the difference of b and 5

xeze [42]

It is (b-5)+6

hope this helps

4 0

3 years ago

During art class, Gregory spent 24 hour painting.

nexus9112 [7]

Answer:

the third one

Step-by-step explanation:

3 0

2 years ago

A particle is projected at a speed of 12 ms^-1 up a straight inclined track. Whilst on the

seraphim [82]

The time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

<h3>Time of motion of the particle</h3>

The time taken for the particle to travel more than 8 meters from the point of projection is calculated as follows;

s = v₀t + ¹/₂at²

8 = 12t + (0.5 x 5)t²

8 = 12t + 2.5t²

2.5t² + 12t - 8 = 0

solve the equation using formula method

t = 0.59 s

Thus, the time taken for the particle to travel more than 8 meters from the point of projection is 0.59 s.

Learn more about time of motion here: brainly.com/question/2364404

4 0

2 years ago