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Juliette [100K]
3 years ago
7

Find the perimeter of the figure 35 in. 34 in. 70 in. 84 in.

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

Answer:

p=8in+8in+12in+7in

=35 in

wolverine [178]3 years ago
5 0

Answer:

35

Step-by-step explanation:

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Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll
Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

P(X = x) = 0 otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0
3 years ago
At first,Ben had $90 and Chandra had $48 .each bought a shirt at the same price.the amounts of money Ben and chandra had left we
antiseptic1488 [7]
90-48 = 42
3 units = 42
1 unit = 14
48-14=34
7 0
3 years ago
Some students are trying to write an expression with fewer terms that is equivalent to 8 - 3(4 - 9x). Noah says, "I worked the p
Irina-Kira [14]

Answer: Yes I agree with Jada. His approach is correct.

Step-by-step explanation: The question requires the student to write an equivalent equation with fewer terms. Nonetheless, this does not prevent applying a mathematically correct approach.

(1) Noah is wrong and the reason is that the initial step is mathematically incorrect. The expression on the right hand side reads 3(4 - 9x), therefore starting with "8 - 3" is very wrong. The right step was to take one side which is 8 and take the other side which is 3(4 - 9x).

(2) Lin is wrong and the reason is that she started inside the parenthesis and this also is mathematically incorrect. The digits inside the parenthesis are "not like terms" and hence calculating 4 - 9x = -5x is very incorrect (the same way you cannot correctly calculate 500 metres minus 200 inches. You must make sure they are both in meters or in inches, that is both must be like terms).

(3) Jada is very correct in using the distributive property and ended up with the only correct solution. The digits on the right hand side of the expression  was solved first and that resulted in -12 + 27x. The reason being that the number outside the parenthesis which is -3, multiplied both digits inside the parenthesis. The minus sign had a major effect, and after simplifying the right hand side the expression now becomes;

8 - 12 + 27x

Since the like terms are 8 and 12, you can simplify further to become

- 4 + 27x OR the expression can be rearranged as 27x - 4

(4) Andre is not correct and the reason is that although he used the distributive property, he made a slight mistake while solving for the right side of the expression. What Andre did was

-3(4 - 9x)

-12 - 27x

Remember that when a negative value multiplies another negative value the answer is positive. Therefore -3 times -9x should have been +27x, just like Jada did as shown above.

From that point onward, his answer would be incorrect.

5 0
3 years ago
A country is shaped like a trapezoid. It's northern border is about 9.6 miles across,and the southern border is approximately 25
Nostrana [21]
The area of the trapezoid is calculated through the equation,
                       A = 0.5(b₁ + b₂)h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,
                       A = 0.5(9.6 + 25)(90) = 1557 mi²
Therefore, the approximate area of the country is 1557 mi².
6 0
3 years ago
The average triglyceride level of adult males is 126 milligrams per deciliter. You want to determine whether the true mean male
crimeas [40]

Answer: The test statistic is 1.30 and the p-value is 0.1167.

Step-by-step explanation:

A test statistic is a random variable which is calculated from sample data and also used in a hypothesis test. It can also be used to know whether to reject the null hypothesis.

The test statistic is 1.30 and the p-value is 0.1167. The solution is attached below

7 0
3 years ago
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