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3 years ago

What is the equation of the line that passes through the point (2,7) and has a slope of 6?

Mathematics

1 answer:

BARSIC [14]3 years ago

8 0

Answer (assuming it can be in point-slope form):

$y-7 = 6(x-2)$

Step-by-step explanation:

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. All you need to do is substitute $m$ , $x_1$ , and $y_1$ for real values.

Since $m$ represents the slope, substitute 6 in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, take the x and y values of (2,7) and substitute them into the formula as well. So, substitute 2 for $x_1$ and 7 for $y_1$ . This gives the following equation and answer:

$y-7 = 6(x-2)$

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77julia77 [94]

Answer:

2^3 = 8

Step-by-step explanation:

2*2*2 = 8

16 - 8 = 8

8 / 2 = 4

4 + 9 = 13

13 may be your answer

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2 years ago

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Solve for y. 3y – 12 = –30 A. –6 B. 32 C. –2 D. 2

kogti [31]

3y-12=-30
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Answer: A.

6 0

3 years ago

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A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

Pls solve this qn..............ASAP PLS DON'T SPAMMMMM!!

Anni [7]

Probability ( a flowering plant or fruit plant) is $\frac{13}{30}$ and Probability (neem plant or peepal plant) is $\frac{29}{60}$ .

Step-by-step explanation:

Given,

Number of neem plant = 125

Number of peepal plant = 165

Number of creppers plant = 50

Number of fruit plant = 150

Number of flowering plant = 110

To find the probability ( a flowering plant or fruit plant)

and probability ( neem or peepal)

Formula

P( A or B) = P(A) + P(B)

Probability ( a flowering plant or fruit plant) = $\frac{110}{600} + \frac{150}{600}$

= $\frac{260}{600}$ = $\frac{13}{30}$

And,

Probability (neem plant or peepal plant) = $\frac{125}{600} +\frac{165}{600}$

= $\frac{290}{600}$ = $\frac{29}{60}$

4 0

3 years ago

Ab= 6cm Ac=12cm Calculate the length of Ad Give your answer to 3 significant figures

Allisa [31]

Answer:

12.686cm

Step-by-step explanation:

By using pythagoras, we can find CB.

We know that $a^2+b^2=c^2$

Therefore, $12^2-6^2=CB^2$

$CB=\sqrt{108}$ (it has to be positive since it is distance)

now we look at triangle BCD and use SOH CAH TOA.

$Sin55=CB/CD\\Therefore, CD= 12.686$

8 0

3 years ago