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3 years ago

Carlos purchased an antique chair at a

1 answer:

4 0

If you know the answer, it is very easy to prove. You just have to do 27 - 15 = 12. Then, you do 12/15 is equal to 4/5, which is 80 percent. :)

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After an extensive advertising campaign, the manager of a company expects the proportion of potential customers that recognize a

lina2011 [118]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of customers that recognize a new product out of 120.

There are two possible recordable outcomes for this variable, the customer can either "recognize the new product" or " don't recognize the new product". The number of trials is fixed, assuming that each customer is independent of the others and the probability of success is the same for all customers, p= 0.6, then we can say this variable has a binomial distribution.

The sample proportion obtained is:

p'= 54/120= 0.45

Considering that the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample proportion to normal: p' ≈ N(p; $\sqrt{\frac{p(1-p)}{n} }$ )

The other conditions for this approximation are also met: (n*p)≥5 and (n*q)≥5

The probability of getting the calculated sample proportion, or lower is:

P(X≤0.45)= P(Z≤ $\frac{0.45-0.6}{\sqrt{\frac{0.6*0.4}{120} } }$ )= P(Z≤-3.35)= 0.000

This type of problem is for the sample proportion.

I hope this helps!

5 0

3 years ago

the function y =³√-x – 3 is graphed only over the domain of {x | –8 < x < 8}. what is the range of the graph? a). {y | –5

Fittoniya [83]

$y=\sqrt[3]{-x}-3\ and\ x\in(-8;\ 8)\\\\subtitute\ x=-8\ and\ x=8\ to\ the\ equation:\\\\y=\sqrt[3]{-(-8)}-3=\sqrt[3]8-3=2-3=-1\\\\y=\sqrt[3]{-8}-3=-2-3=-5\\\\Answer:\boxed{\{y|-5 \ \textless \ y \ \textless \ -1\}}\to\fbox{b.}$

7 0

4 years ago

Read 2 more answers

Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?

kipiarov [429]

Answer:

4 days

Explanation:

He drinks 3 liters of water every day, meaning in four days he would drink 12 liters.

3 0

4 years ago

Read 2 more answers

Answer quickly, please. I need this. I will give brainliest to whoever answers first. You also get 25 points for this

PilotLPTM [1.2K]

What is the question..?

7 0

4 years ago

Read 2 more answers

Write an equation of the line that passes through each pair of point y=mx+b

jarptica [38.1K]

$y=-\frac{2}{3}x+4$

Explanation

Step 1

find the slope

when yo know 2 points of a lines, P1 and P2, you can find the slope by using:

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}$

then, let

P1(6,0)

P2(0,4)

replace

$\begin{gathered} \text{slope}=\frac{y_2-y_1}{x_2-x_1} \\ slope=\frac{4-0}{0-6}=\frac{4}{-6}=-\frac{2}{3} \end{gathered}$

Step 2

find the equation of the line,

$\begin{gathered} y-y_1=slope(x-x_1) \\ \text{replace} \\ y-0=-\frac{2}{3}(x-6) \\ y=-\frac{2}{3}x+\frac{12}{3} \\ y=-\frac{2}{3}x+4 \end{gathered}$

so , the equation of the lines is

$y=-\frac{2}{3}x+4$

where -2/3 is the slope, and 4 is the y-intercept

I hope this helps you

4 0

1 year ago