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Alexandra [31]
3 years ago
12

What should you do if you are surrounded by 20 lions and 15 tigers and 10 leopards

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
You should run away from them
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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
12a^3b^2 +18a²b^2 – 12ab^2<br> Factor completely
AleksAgata [21]

The factorization of 12a^3b^2 +18a²b^2 – 12ab^2 is 6 a b^{2}(a+2)(2 a-1)

<u>Solution:</u>

Given, expression is 12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

We have to factorize the given expression completely.

Now, take the expression

12 a^{3} b^{2}+18 a^{2} b^{2}-12 a b^{2}

Taking b^2 as common term,

b^{2}\left(12 a^{3}+18 a^{2}-12 a\right)

Taking "a" as common term,

b^{2}\left(a\left(12 a^{2}+18 a-12\right)\right)

Taking "6" as common term,

b^{2}\left(a\left(6\left(2 a^{2}+3 a-2\right)\right)\right)

Splitting "3a" as "4a - a" we get,

b^{2}\left(a\left(6\left(2 a^{2}+4 a-a-2\right)\right)\right)

\begin{array}{l}{b^{2}(a(6(2 a(a+2)-1(a+2))))} \\\\ {b^{2}(a(6((a+2) \times(2 a-1))))} \\\\ {6 a b^{2}(a+2)(2 a-1)}\end{array}

Hence, the factored form of given expression is 6 a b^{2}(a+2)(2 a-1)

4 0
3 years ago
Question 6 Unsaved Identify the slope and y-intercept of the graph of the equation. Then graph the equation. y = −5/4x+1
Lena [83]
Slope = -5/4
y intercept = 1

The slope is always attached to x. The intercept is the number attached on the end. 
4 0
4 years ago
Gender Students
alukav5142 [94]

Answer:

the answer is 44. . .

Step-by-step explanation:

20+24 =44

4 0
2 years ago
Of the 150 students in 6th grade, 10% earned straight As last quarter. How many students earned straight As?
Dominik [7]

Answer: 15 students

Step-by-step explanation:

From the question, we are informed that there are 150 students in 6th grade, and that 10% earned straight As last quarter.

The number of students that earned straight As will be:

= 10% × 150

= 10/100 × 150

= 0.1 × 150

= 15 students

3 0
3 years ago
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