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zmey [24]
3 years ago
9

part of the population of 4,500 elk at a wildlife preserve is infected with a parasite a random sample of 50 elk shows that 8 of

them are infected how many elk are likely to be infected
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

A total of 720 elk are likely to be infected

Step-by-step explanation:

we shall be using the proportion by survey to estimate the number of infections

From the survey 8 out of 50 are infected. Thus the likelihood of infection is 8/50

We have 4,500 elk to consider. The number of elk likely to be infected will be 8/50 * 4500 = 720

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A pyramid has a horizontal square base of 12cm. the vertex of the pyramid is 7cm vertically above the base. calculate, correct t
Dafna11 [192]

Answer:

9.2 cm.

Step-by-step explanation:

A pyramid has a horizontal square base of 12 cm. The vertex of the pyramid is 7 cm vertically above the base.

So, the height of the pyramid is 7 cm and half-length i.e. half base is equal to \frac{12}{2} = 6 cm.

Now, the slant height of a pyramid is the altitude of the side triangles.

Therefore, the length of the slant height will be equal to \sqrt{6^{2} + 7^{2}} = 9.219 cm ≈ 9.2 cm. (Answer)

5 0
3 years ago
In an exponential function, f(x)=b^x, b is not allowed to be 1 explain why this restriction exists?
suter [353]

That is because b to any power = 1,

1^1 = 1, 1^0 = 1   1^0.25 = 1 etc

4 0
3 years ago
Which expression is equivalent to 28/19/100
AleksAgata [21]
<span>The expression that is equivalent to that number is </span>20 + 8 + 0.1 + 0.09.

This is because the whole number 28 has a 2 in the tens place, meaning it has 2 tens, and 10x2=20. Same goes for the 8 in the ones place (8x1=8)
20+8=28. Then, 19/100 is equal to 0.19, which has a 1 in the tenths place and a 9 in the hundreths place put together to get 28.19
4 0
3 years ago
Can some help on these 2
Neporo4naja [7]

I'll help with number 5 since number 4 is a bit too small and squished to read.

Check out the attached image below for the full two-column proof. The added entries are in red.

The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.  

The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.

The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"

7 0
3 years ago
Three U.F.O.'s were constructed in consecutive years. Their ages have a sum of
Dahasolnce [82]

Answer: 41, 42, and 43 years old.

Step-by-step explanation:

41 plus 42 plus 43 = 126.

7 0
3 years ago
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