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Gnoma [55]
3 years ago
8

Which of the following expressions are equivalent? Justify your reasoning.

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

B and D are equivalent.

because of the domain and range

1/x has same Domin and range as that of in D

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When we take a census . We attempt to collect data from a. A stratified random sample b. Every individual chosen in a simple ran
In-s [12.5K]

Answer:c

Step-by-step explanation:

Be

4 0
3 years ago
Which of the following is NOT a conclusion of the Central Limit​ Theorem? Choose the correct answer below. A. The mean of all sa
ANTONII [103]

Answer:

The distribution of the sample data will approach a normal distribution as the sample size increases.

Step-by-step explanation:

Central limit​ theorem states that the mean of all samples from the same population will be almost equal to the mean of the population, if the large sample size from a population, is given with a finite level of variance.

So, here Option C is not correct conclusion of central limit theorem -The distribution of the sample data will approach a normal distribution as the sample size increases.

We can say that the average of sample mean tends to be normal but not the sample data.

7 0
3 years ago
Mike has $72 and he needs to buy some apples. Which of these equations would represent mike's situation of the apples cost $0.60
Alexxandr [17]

Answer:120 apples

Step-by-step explanation:

72/.60=120

8 0
3 years ago
6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the
MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

a_1 the horizontal distance between the first observer and the ballonist

a_2 the horizontal distance between the second observer and the ballonist

\alpha _1 and \alpha _2 the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

S=a*h (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

S=S_1+S_2 (equation 2)

S_1=a_1*h

But we can write S_1 in terms of \alpha _1, like this:

\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}

And for S_2 will be the same:

S_2=\frac{h^{2} }{\tan(\alpha _2)}

Replacing in the equation 2:

S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})

And replacing in the equation 1:

h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}

So, we can replace all the known data in the last equation:

h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0
3 years ago
WHAT NUMBER MUST BE ADDED TO BOTH THE NUMERATOR AND DENOMENATOR OF 3/7 TO OBTAIN A FRACTION EQUAL TO 7/9?
yan [13]

Answer:

Add 22/63

Step-by-step explanation:

3/7 + n = 7/9

<u>Step 1:  Subtract 3/7 from both sides</u>

3/7 + n - 3/7 = 7/9 - 3/7

n = 49/63 - 27/63

n = 22/63

Answer:  Add 22/63

5 0
3 years ago
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