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Dimas [21]
3 years ago
13

If the sum of three consecutive integers is 36, what is the smallest of these integers?

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0
Let the three consecutive equals:
x, x+1, x+2

sum:
x+(x+1)+(x+2) = 36
3x + 3 = 36
x+1 = 36/3
x+1 = 12
x=12-1
x=11
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(CO 4) In a sample of 15 stuffed animals, you find that they weigh an average of 8.56 ounces with a standard deviation of 0.09 o
Masja [62]

Answer:

92% Confidence Interval = [8.515, 8.605]

Step-by-step explanation:

The number of samples given is 15,this less than 30, hence, we use the t score confidence Interval

= Mean ± t score × Standard deviation/√n

Mean = 8.56 ounces

Standard deviation = 0.09 ounces

n = 15

We find the degrees of freedom = n - 1

= 15 - 1 = 14

Using the T score table

T score for 92% confidence interval with degrees of freedom 14

= 1.8875

Hence:

Confidence Interval =

= 8.56 ± 1.8875 × 0.09/√15

= 8.56 ± 0.0454010035

Confidence Interval

8.56 - 0.0454010035

= 8.5145989965

≈ 8.515

8.56 + 0.0454010035

= 8.6054010035

≈ 8.605

92% Confidence Interval = [8.515, 8.605]

7 0
3 years ago
why mathematics is the very important in a small business? is mathematics is helpful to you? explain​
kodGreya [7K]
Mathematics is very important in a small business is because when you make money transactions with other people you need to know how to count money correctly and your calculations can’t be wrong. Mathematics is definitely helpful to me because Artificial Intelligence is taking on jobs, so we have to step up our game.
7 0
3 years ago
Does second-hand smoke increase the risk of a low birthweight? A baby is considered have low birthweight if he/she weighs less t
marishachu [46]

Answer:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

Step-by-step explanation:

We are given the following in the question:

According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.

Sample size, n = 1200

p = 7.8% = 0.078

We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.

Thus, we can design the null and the alternate hypothesis

H_{0}: p = 0.078\H_A: p > 0.078

Thus, the correct answer is:

Option 2) Null hypothesis: p = 0.078 , Alternate hypothesis: p > 0.078

5 0
3 years ago
How do you this question?
Svetlanka [38]

Answer:

i think the answer is in the question it is -4,1

Step-by-step explanation:


7 0
3 years ago
Which equation matches the statement: "The sum of -4x and 2 is 9"??
neonofarm [45]

Answer:

A

Step-by-step explanation:

sum means addition

the problem says sum of -4x and 2 meaning -4x + 2

the word "is" right before 9 means equals 9

6 0
3 years ago
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