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UNO [17]
3 years ago
9

Plz guys step by step with answer​

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0

Answer:

C

Step-by-step explanation:

You can rearrange the equation to make it: 4y=3x-2

The slope right now is 3,but that's not the answer

So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5

So from that you can see that the slope is 3/4, C

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

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

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
3 years ago
An observer in a hot air balloon sights a building that is 50 m from the balloon's launch point. The balloon has risen 165 m. Wh
Kaylis [27]
Notice the picture,
recall your SOH, CAH, TOA
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}&#10;\qquad \qquad &#10;% cosine&#10;cos(\theta)=\cfrac{adjacent}{hypotenuse}&#10;&#10;\\ \quad \\&#10;% tangent&#10;tan(\theta)=\cfrac{opposite}{adjacent}

you have,
opposite side, 165
adjacent side, 50
and the angle

that means, we'll need Mrs. tangent
thus 
\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(\theta)=\cfrac{165}{50}&#10;\\ \quad \\&#10; tan^{-1}\left[ tan(\theta) \right]=tan^{-1}\left[ \cfrac{165}{50} \right]&#10;\\ \quad \\&#10;\theta=tan^{-1}\left[ \cfrac{165}{50}\right]&#10;\\ \uparrow  \\&#10; \textit{angle of elevation}\iff\textit{angle of depression}

4 0
3 years ago
A random sample is drawn from a normally distributed population with mean μ = 31 and standard deviation σ = 1.9. Calculate the p
lesya692 [45]

Answer:

For sample size n = 39 ; P(X < 31.6) = 0.9756

For sample size n = 76 ; P(X < 31.6) = 0.9970

Step-by-step explanation:

Given that:

population mean μ = 31

standard deviation σ = 1.9

sample mean  \overline X = 31.6

Sample size n                 Probability

39

76

The probabilities that the sample mean is less than 31.6 for both sample size can be computed as  follows:

For sample size n = 39

P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})

P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})

P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})

P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})

P(X < 31.6) = P(Z< 1.972)

From standard normal  tables

P(X < 31.6) = 0.9756

For sample size n = 76

P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})

P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})

P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})

P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})

P(X < 31.6) = P(Z< 2.75)

From standard normal  tables

P(X < 31.6) = 0.9970

6 0
3 years ago
How could you answer this question?
erastova [34]

Answer:

1000 times

Step-by-step explanation:

because the tenths place would mean the 2 is equal to 0.2

and the 100s place would mean 200

to get to 200 from 0.2 you multiply by 1000, because the decimal point moves to the left for each zero.

6 0
3 years ago
Will give brainliest!!!
gulaghasi [49]

Answer:

Try 50. Since you can do 72-22=50 tickets for last year.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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