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svetlana [45]
4 years ago
10

Find three consecutive integers that have an average of 53

Mathematics
1 answer:
saw5 [17]4 years ago
5 0
Consecutive intergers are 1 away from each other so
numbers are
x,x+1,x+2

average is found by adding the numbers up and dividng the total by the number of numbers you have
so we add x+x+1+x+2 up and divide it by 3 (3 numbers)
x+x+1+x+2=x+x+x+1+2=3x+3
(3x+3)/3=53
[3(1x+1)]/3=53
3/3 times 1x+1=52
1x+1=53
subtract 1 from both sides
x=52

subsitute
x+1 is the second
x+2 is the third
x+1=52+1=53
x+2=52+2=54

numbers are 52,53,54
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Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor's. A sample of 40 bab
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Answer:

Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.

Step-by-step explanation:

We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.

Z-score can be calculated using the formula:

z=\frac{X-Y}{\sqrt{\frac{s(x)}{N(x)}+\frac{s(y)}{N(y)}}} where

  • X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
  • Y is the mean weight gain for in the first three months after birth for babies using the competitor products
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  • s(y) is the population standard deviation of the sample for competitor brand
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  • N(y) is the sample size for babies used competitor product.

putting the numbers in the formula:

z=\frac{7.6-8.1}{\sqrt{\frac{2.3}{40}+\frac{2.9}{55}}} ≈ -1.51

and z-table gives that P(z<-1.51) = 0.0655

To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.

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4 years ago
A 36-foot-tall tree casts a 9-foot shadow. How tall is a nearby tree that casts a 14-foot shadow at the same time?
kiruha [24]

Answer:

Proportion states that the two fractions or ratios are equal.

Given the statement: A 36-foot-tall tree casts a 9-foot shadow.

To find the height of the nearby tree that cast a 14 foot shadow at the same time.

Let x be the height of the nearby tree.

By definition of proportion;

\frac{\text{Height of thetall tree}}{\text{Shadow of the tall tree}} =\frac{\text{Height of the nearby tree}}{\text{Shadow of the nearby tree}}

Substitute the given values we get;

\frac{36}{9}=\frac{x}{14}

Simplify:

4 = \frac{x}{14}

Multiply both sides by 14 we get;

x= 4 \times 14 = 56 foot.

therefore, the height of the nearby tree is, 56 foot.



7 0
3 years ago
A game involves spinning this spinner. What is the probability of the pointer landing on Y ?
IRISSAK [1]
Here are the steps to answer this question: 

1. Find the denominator. Since there is 8 possible outcomes, our denominator will be 8.

2. Find the numerator. To do this we need to find out of all the 8 possible outcomes, how many are them are y. Since its only 1 y, the numerator will be 1.

3. Now all we have to do now is make our fraction. The 8 possible outcomes given, only one of them has y which means that our fraction will be 1/8.

4. Answer: 1/8 or .125 or 12.5% chance for the spinner to land on y. I hope this helps!
6 0
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