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Lady bird [3.3K]
3 years ago
12

Find the value of x

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

42°

Step-by-step explanation:

Since all the angles in the figure add up to 180°...

180 - 54 = 126

3x = 126°

x = 126 ÷ 3 = 42

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We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

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 interval 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}.

The margin of error is:

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

95% confidence interval

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.

In this problem, we have that:

p = 0.5, M = 0.1

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

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
3 years ago
A cylinder and a cone have congruent heights and radii.what is the ratio of the volume of the cone to the volume of the cylinder
NemiM [27]

Answer:

1: 3 ratio of the volume of the cone to the volume of the cylinder

Step-by-step explanation:

Volume of cone(V) is given by:

V = \frac{1}{3} \pi r^2h

where, r is the radius and h is the height of the cone.

Volume of cylinder(V') is given by:

V' = \pi r'^2h'

where,  r' is the radius and h' is the height of the cylinder.

As per the statement:

A cylinder and a cone have congruent heights and radii.

⇒r = r' and h = h'

then;

\frac{V}{V'} = \frac{ \frac{1}{3} \pi r^2h}{\pi r'^2h'} = \frac{ \frac{1}{3} \pi r'^2h'}{\pi r'^2h'}

⇒\frac{V}{V'} =\frac{1}{3} = 1 : 3

Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3

4 0
3 years ago
Read 2 more answers
V*4x= How do you simify this equation
attashe74 [19]
It's not time to try and simplify it until you HAVE an equation. You won't have an equation until you write down what. V*4x is equal to.
7 0
3 years ago
Label and connect the coordinates above
aksik [14]
You should add the picture so we can see
3 0
3 years ago
What is the exponential expression 24^1/3
guapka [62]

Answer:

2.884499

Step-by-step explanation:

3 0
3 years ago
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