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3 years ago

Find the slope of the line passing through (-4, 1) and (-1, -2).

Mathematics

2 answers:

mash [69]3 years ago

7 0

Answer: m=-1... the slope of the line that passes through those points is -1.

Oksana_A [137]3 years ago

3 0

Answer: 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-2 - 1 = -3

-1 - -4 = 3

-3/3 = 1

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four times a number decreased by 6 is less than -2. Define a variable, write an inequality, and solve for the number

Strike441 [17]

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

Solution:

Given that four times a number decreased by 6 is less than -2

To find: Define a variable, write an inequality, and solve for the number

Let "x" be the required number

From given information,

four times a number decreased by 6 < -2

four times "x" decreased by 6 < - 2

Here "times" represents multiplication. Four times x means 4 is multiplied by x

Decreased means something is subtracted away

Here 6 is subtracted from four times "x"

So we frame a inequality as:

4x - 6 < - 2

Moving -6 from R.H.S to L.H.S,

4x < -2 + 6

4x < 4

Dividing both sides by 4,

x < 1

Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1

3 0

3 years ago

Help ASAP pleaseee!

natulia [17]

Answer:

Step-by-step explanation:

The probability of getting a 6 is 1/6.

The probability of not getting a 6 is 5/6

We roll a die 4 times and want 2 sixes, and 2 not sixes.

i.e.exact 2 6's

We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

Nearest tenth of percent is 0.1157×100=11.6%

Ans :11.6%

3 0

3 years ago

What's the square root of 75672

Pavlova-9 [17]

Well, simply you can do on the calculator and get the answer.

The answer is: 275.0854413 :)

Have a wonderful day!

3 0

3 years ago

Read 2 more answers

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

Solution-

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

4 years ago

Your food bill comes to $68.26. If the tax rate is 7%, calculate the amount of tax your family will pay.

romanna [79]

Food bill = $68.26
Tax rate = 7 %
Tax that will be payed = 7/100 × 68.26
= $4.78
Hope u get the answer

6 0

3 years ago

Read 2 more answers