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skad [1K]
2 years ago
8

A line that includes the point (7, 10) has a slope of 2. what is the equation in slope-intercept​

Mathematics
1 answer:
Damm [24]2 years ago
5 0

Answer:

y=2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-10=2(x-7)

y-10=2x-14

y=2x-14+10

y=2x-4

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Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Colt1911 [192]

Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

8 0
3 years ago
Convert the following equations from point-slope form to slope-intercept form.
mojhsa [17]
<h2>Answer:</h2>

We need to solve both for y.

<u>#9:</u>

<u />y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1<u />

<u>#10:</u>

<u />y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11<u />

7 0
3 years ago
Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In
Trava [24]

This is the complete question:

Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.  Assume that x represents the number of assessments since he starts recording and y represents the scores in each assessment, which of the following describes the situation?

a. a relation only b.

b. neither a function nor a relation

c. a function only

d. both a relation and a function

Answer:

  • <u><em>d. both a relation and a function</em></u>

Step-by-step explanation:

<em>A relation</em> is any statement, either verbal or mathematical, that connects, interrelates or associates, two or more elements (objects, persons, variables).

The text describes a situation where the scores in the assesments are related to the number of statements since Mark starts recording, hence this is a relation.

<h2>Is this relation a function or not?</h2>

In order for a relation be a function, the association has to be unambiguos. This means that for a given input only one output can exist. If an input can have two or more outputs, then you can not determine which is the output for that input. This is what defines whether a relation is a function or not.

In the situation described in the text, x is the input, i.e. the number of assessments since Mark starts recording the scores. Definetely, the number of assessment is not repeated: there is only one first assessment, only one second assessment, only one third assessment, ... the number of assessment cannot not get repeated. Of course, if the input is not repeated, there is only one output associated to the input (each assessment has just one associated score)  and the relation is a function.

3 0
3 years ago
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number o
andrew11 [14]

Answer:

the answer is 2/6 im not sure but i hope its help

7 0
2 years ago
The quantitative analysis approach requires a.a relatively uncomplicated problem b. each of the other three choices is true c. t
telo118 [61]

Answer:

D. Mathematical expressions for the relationships

Step-by-step explanation:

Quantitative analysis also called QA for short is the technique that tries to understand behaviour by using mathematical and statistical modeling, measurement and research. A quantitative analyst aims to represent a given reality in terms of numerical value. This can be achieved by using mathematical formulas and expressions to explain the relationships that exists between the variables. The data analyzed are usually gotten from polls and questionnaires or in general, well structured research instruments.

3 0
3 years ago
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