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nika2105 [10]
3 years ago
11

How do I solve this?

Mathematics
2 answers:
laila [671]3 years ago
7 0
The < is just like and equal sign just looks a little different think of it that was for the first couple steps. So you have 13-3y<-5. First do, -5+13=8. Now you have -3y<8. Then your want to do 8 divided by -3 and you get=-2.666666667 and that equals y.

-2.7=y then make that equal sign into the normal sign again. -2.7
satela [25.4K]3 years ago
3 0
You want to get y by itself.
To do this with the equation 13 -3y < -5 you want to subtract 13 from both sides.

13 -3y < -5
-13 -13

This will get the -3y by itself.

-3y < -18

After this, divide by -3 on both sides to solve for y.

-3y < -18
—— ——
-3 -3

When you divide by a negative in an inequality, remember to flip the inequality sign.

y > 6

There you go!
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Starting from home john rides his bike to school and then to the library. How far, in kilometers does John ride his bike? home (
Elza [17]

Answer:

9.385 km

Step-by-step explanation:

Given the points :

home (1 -3) school (-1, 2) library (3, 2)

Distance between Home and school :

Distance = √(x2 - x1)² + (y2 - y1)²

Home = (1, - 3) ; School = (-1, 2)

x1 = 1 ; y1 = - 3 ; x2 = - 1 ; y2 = 2

Distance = √(-1 - 1)² + (2 - (-3))²

Distance = √-2² + 5²

Distance = √4 + 25

= 5.385 km

From school to library :

School = (-1, 2) ; library (3, 2)

x1 = - 1 ; y1 = 2 ; x2 = 3 ; y2 = 2

Distance = √(x2 - x1)² + (y2 - y1)²

Distance = √(3 - (-1))² + (2 - 2)²

Distance = √4² + 0²

Distance = √16 + 0

Distance = √16

Distance = 4 km

Total distance in kilometers from home to library :

(5.385 + 4) km = 9.385km

3 0
3 years ago
Suppose a researcher is interested in determining if there is a relationship between low birth weight and pediatric pneumonia. I
MissTica

Answer:

He will need 4 newborns in the sample to be 95% confident.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\sqrt{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the length of the sample.

So:

646 = 1.645*\frac{746}{\sqrt{n}}

646\sqrt{n} = 1227.17

\sqrt{n} = 1.90

\sqrt{n}^{2} = (1.90)^{2}

n = 3.61

He will need 4 newborns in the sample to be 95% confident.

7 0
3 years ago
LeBron James shot 30 shots per game last season. His season high in shots was 2,000. He wants to earn a different shot per game
laila [671]

Answer:

1700

Step-by-step explanation:

8 0
3 years ago
If the volume of the pyramid shown is 360 inches cubed, what is its height?
GenaCL600 [577]
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

5 0
3 years ago
Read 2 more answers
Pls help me with this question!!!
ankoles [38]

Answer: $2/child and $4/adult

Step-by-step explanation:

The total fare is $14 for 2 adults and 3 children

x is the child's fare

y is the adults fare

We can say:

1)  3x + 2y = $14

2)  We are told that x = (1/2)y  [each child's fare is 1/2 each adult's fare]

3) use (2) in (1)

  3x + 2y = $14

  3(1/2)y + 2y = $14

 (3/2)y + 2y = $14

  (7/2)y = $14

  y = ($14)*(2/7)

  y = $4/adult

   x = (1/2)y; x = (1/2)(4)

   x = $2/child

Check:  Does 3x + 2y = $14 when x = $2/child and y = $4/adult?

    3x + 2y = $14

    3($2/child) + 2($4/adult) = $14

      $6   +   $8 = $14   YES

6 0
3 years ago
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