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Dmitriy789 [7]
3 years ago
6

The water level in a tank decreased 8 inches in 4 minutes. The tank drains at a steady rate. What is the change in the water lev

el each minute?
Mathematics
1 answer:
aalyn [17]3 years ago
3 0
2 inches per minute 8÷4=2
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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid
katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 865, \pi = \frac{408}{865} = 0.4717

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0
3 years ago
A Square has an area of 324cm^2 . What is the squares’s perimeter?
a_sh-v [17]

Answer:

72cm

Step-by-step explanation:

A=a^2

p=4a

p=4√A=4x√324=72 cm

3 0
2 years ago
Tell whether the angles are adjacent or vertical. Then find the value of x.
krok68 [10]

Answer : The angles are vertical angles and the value of x is 25^o

Step-by-step explanation :

Adjacent angles : It is defined as the two angles that have the common arm and common vertex.

Vertical angles : It is defined as the two lines intersect each other and form angles. The opposite angles are known as vertically opposite angles.

And we know that the vertically opposite angles are equal.

In the given image, the angles are vertical angles and vertically opposite angles are equal.

So,

(4x-25)^o=75^o

4x-25^o=75^o

4x=75^o+25^o

4x=100^o

x=\frac{100^o}{4}

x=25^o

Therefore, the angles are vertical angles and the value of x is 25^o

6 0
2 years ago
What type of Symmetry
nikklg [1K]

Answer:

Line Symmetry, Horizontal and Vertical Lines, 90 and 180 degrees

Step-by-step explanation:

It is line symmetry because you can fold the H, and it would overlap perfectly.

Horizontal and vertical lines because if you were to place a line in the middle both horizontally and vertically it would overlap.

90 and 180 degrees because the H would still have have symmetry if you flipped it on its side or upside down.

7 0
2 years ago
Can anyone plz explain the permutation formula in math? and plz make it simple because I'm just a 7th grade student​
mixas84 [53]

Answer:

To calculate permutations, we use the equation nPr, where n is the total number of choices and r is the amount of items being selected. To solve this equation, use the equation nPr = n! / (n - r)!.

7 0
2 years ago
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