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andrezito [222]
2 years ago
15

PLEAASE HELP I NEED UNGROUNDED

Mathematics
2 answers:
olga2289 [7]2 years ago
7 0

Answer: 3x - 2

Step-by-step explanation:

In this question, we have to find two unknown variables: a and b. To know a, we have to calculate the distance from two coordinates who are intercepted by the function in which the variable we’re looking for is. In this case, we have (1,1) and (0,-2). We first take the biggest coordinate from both and subtract the other one from it. So we have 1 - - 2 = 3. To know the second variable, b, we have to look on the graph where the “y” lands on when “x” = 0. In this case, we have -2. The equation is 3x - 2.

omeli [17]2 years ago
4 0

Answer:

y=3x-2

Step-by-step explanation:

The formula for slope is y=mx=b

You can find the slope by finding two points that lie on the line (1,1) & (0,-2)

The formula for slope is m=\frac{y_{2} -y_{1}}{ x_{2} -x_{1} }

You plug the values in and you get m=\frac{1-(-2)}{ 1 -0 }

Simplify and you get 3

The slope is 3

The y-intercept (b) is -2

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Bezzdna [24]
I hope this helps you

6 0
4 years ago
A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 m
DochEvi [55]

Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

4 0
4 years ago
If y=-1x+5 would the answer just be y=-x+5 in y=mx+b form?
galina1969 [7]
I believe so, yes. :)
5 0
4 years ago
The cake store is having a 25\%25% off sale on all of its cakes. If the cake you want regularly costs \$9$9, how much would you
Ivanshal [37]

Answer:

You would save $2.25.  

Step-by-step explanation:

In order to find discount on an item, you need to multiply the discount by the original amount of the item.  In this case, the cake you want regularly costs $9.  If the sale includes a 25% discount, then you need to first convert your percentage to a decimal by dividing by 100:

\frac{25}{100} =0.25

You can then take this amount multiplied by the original cost of the cake to get your discount:

0.25 x 9 = 2.25, so you would save $2.25 with the discount and pay only $6.75 for the cake you want.  

3 0
4 years ago
Here is a rule for generating a sequence; 3n+10 What is the 150th term of the sequence generate by this rule?​
slava [35]

Answer:

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<h3><em>Topic </em><em>-</em><em> </em><em>Arithmetic</em><em> </em><em>Progression </em><em>(</em><em> </em><em>AP </em><em>)</em></h3>

  • Given - <u>a </u><u>general </u><u>term </u><u>for </u><u>a </u><u>sequence.</u>

  • To find - <u>the </u><u>1</u><u>5</u><u>0</u><u>t</u><u>h</u><u> </u><u>term </u><u>of </u><u>the </u><u>given </u><u>sequence</u>

so let's start ~

General term , A_{n} = 3n + 10

let's consider certain values of n to get some information with us which will help us solve the problem further !

let's first consider , n = 1 ! then ,

3n  + 10 = 3(1)  + 10 \\ \dashrightarrow \:  13

now , let's consider n = 2

3n + 10 = 3(2) + 10 = 6 + 10 \\ \dashrightarrow \: 16

then , let's consider n = 3

3n  + 10 = 3(3) + 10 = 9 + 10 \\ \dashrightarrow \: 19

hence ,

now we've with us an AP which is as follows -

13 \: , \: 16 \: , \: 19 \: ......

from this Arithmetic Progression ,

we can know that

a = first term = 13

d = common difference = 16 - 13 = 19 - 16 = <u>3</u>

now ,

A _{n} = a + (n - 1)d \\ \implies \: A _{150} = 13 + (149)(3) \\ \implies \: A _{150} = 13 + 447 \\  \pink{\implies \: A  _{150} = 460}

hope helpful :D

3 0
3 years ago
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