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Svetach [21]
3 years ago
6

Write and solve an addition equation to find x.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
20 + 12 + x = 48    / -20
12 + X = 48 - 20    / -12
X = 48 - 20 - 12
X = 28 - 12
X = 16
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Write an equation of a line with the given slope and y intercept m =1/4,b=-3/4
leva [86]

Answer: y=1/4x-3/4

Step-by-step explanation:

We have our equation of a line formula y=mx+b

Then we substitute the given and get y=1/4x-3/4

3 0
3 years ago
g "They hired an analyst who collected a random sample of 40,361 Game of Thrones fans, and found that 8,337 of those fans said t
Viktor [21]

Answer:

The lower bound for a 90% confidence interval is 0.2033.

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 = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033.

6 0
3 years ago
Find the length of the radius of the circle whose perimeter is xcm and the area is
Jobisdone [24]

\bf \stackrel{\textit{perimeter}}{\textit{circumference}}\textit{ of a circle}\\\\ C = 2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=x \end{cases}\implies x = 2\pi r\implies \boxed{\cfrac{x}{2\pi }=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=x \end{cases}\implies x = \pi \left( \boxed{\cfrac{x}{2\pi }} \right)^2\implies x = \pi \cdot \cfrac{x^2}{2^2\pi^2}

\bf x = \cfrac{x^2}{4\pi }\implies 4\pi x = x^2\implies \cfrac{4\pi x}{x}=x\implies \blacktriangleright 4\pi = x\blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since the radius is}}{r = \cfrac{x}{2\pi }}\implies r =\cfrac{4\pi }{2\pi }\implies \blacktriangleright r = 2\blacktriangleleft

6 0
3 years ago
Read 2 more answers
If anyone could help with any 3 or all of these questions it would be great!
adell [148]

Answer:

1. 90-68= 22

2. 90-80= 10

3. 90-3= 87

Step-by-step explanation:

A complement angle is found by their sum being 90 degrees. So, you are looking for the angle that would add to the given angle to = 90.

8 0
3 years ago
A right pyramid with a square base has a base length of x inches, and the height is two inches longer than the length of the bas
vredina [299]

Answer:

The answer to your question is Volume = (1/3)(x²)(x + 2)

Step-by-step explanation:

Data

length = x

height = x + 2

Volume = ?

Formula

Volume = 1/3Ab h

Process

1.- Calculate Ab

Ab = length x length

-Substitution

     = (x)(x)

-Simplification

     = x²

2.- Substitution

Volume = (1/3)(x²)(x + 2) or (1/3)(x³ + 2x²)

8 0
3 years ago
Read 2 more answers
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