El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces
1 answer:
Answer:
a) Para , hay 13 flores en la fila 4.
b) Para , hay 22 flores en la fila 7.
c) La fila 11 tiene 34 flores.
Step-by-step explanation:
De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:
,
(1)
Donde:
- Índice de la fila de flores.
- Número de flores del índice de la fila de flores.
a) Para , hay 13 flores en la fila 4.
b) Para , hay 22 flores en la fila 7.
c) Si , entonces el índice de la fila es:
La fila 11 tiene 34 flores.
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Answer:
The null and alternative hypothesis are:
where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>
<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>
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This is a hypothesis test for the difference between populations means.
The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.
The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.
The difference between sample means is Md=-261.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
Answer:
Sam
30
Step-by-step explanation:
Sam made a mistake when he said . The steps should have been:
You are supposed to square 5 first before multiplying 2. Sam multiplied by 2 first. The correct answer is 30.