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sasho [114]
3 years ago
15

What is the y-intercept of the following equation? y = 5x – 15

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

Answer:

-15

Step-by-step explanation:

the last number is always your y intercept when using y=mx+b form

Ket [755]3 years ago
5 0
The y-intercept is -15 the y i terceto will always be the one with no x at the end of it when it's y=mx+b
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It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
2 years ago
Helpppp please people
Arte-miy333 [17]

Answer:

3

Step-by-step explanation:

p-(9-(m+q)) =

5-(9-(4+3)) =

5-(9-(7)) =

5-(2) =

3

3 0
2 years ago
Read 2 more answers
Represent <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%207%7D%7B5%7D%20" id="TexFormula1" title=" \frac{ - 7}{5} " al
Ilya [14]

Given:

The number is -\dfrac{7}{5}.

To find:

The location of the given number of the number line.

Solution:

We have,

Number=-\dfrac{7}{5}

It can be written as

Number=-\dfrac{5+2}{5}

Number=-\dfrac{5}{5}-\dfrac{2}{5}

Number=-1-\dfrac{2}{5}

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

Number=-(1+\dfrac{2}{5})

Number=-(1\dfrac{2}{5})

Number=-1\dfrac{2}{5}

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents \dfrac{1}{5}.

Since Number=-1-\dfrac{2}{5}, therefore, it is 2 units left from -1.

The number line is given below.

3 0
2 years ago
In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountai
Cloud [144]

An appropriate measure for ∠CDE would be

∠CDE = ∠ADE - ∠ADC

<h3>How to check for the appropriate measure of CDE.</h3>

we have the following angles as parallel BC¯, DE¯, and FG¯ also  CD¯, EF¯, and GH¯.

The angles that we have to check in order to measure would be

∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.

Read more on angles and triangles here:

brainly.com/question/25215131

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3 0
1 year ago
A vertical plane passes through a pyramid that has a horizontal base. which of the following can be produced from the intersecti
Inessa [10]

Answer with explanation:

Pyramid and Plane both are three dimensional shapes.

Pyramid is a three dimensional shape having base any polygon and other faces as triangles.

The base of pyramid is horizontal.

1. If lower  base is a Square,or rectangle or any other parallelogram

And, then , plane cuts the pyramid vertically

It will be also, a three dimensional shape ,resembling a triangular cross section in three dimension.

Triangle is appropriate choice.

4 0
3 years ago
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