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rjkz [21]
3 years ago
7

Does the graph show a proportional

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

yes. y-=25x

Step-by-step explanation:

You might be interested in
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard d
skelet666 [1.2K]

Answer:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

Step-by-step explanation:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(30,7.8)  

Where \mu=30 and \sigma=7.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.80   (a)

P(X   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=30 -0.842*7.8=23.432

So the value of height that separates the bottom 20% of data from the top 80% is 23.432.  

8 0
3 years ago
Let me know if you can answer these :)
Olegator [25]

Answer:

10. 285

11. 6\frac{3}{4}

16.a. Stiles Family

<u>Reason</u>-The Styles family uses  twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.

16.b. Mendelez family

Reason-The Mendelez family uses the least amount of water, because the water usage  per person (which is =875 gallons) is much lower than the other two.

Step-by-step explanation:

10. In 6 mins, no. of machine parts produced = 114

in 1 min, no. of machine parts produced = 114/6

in 15 min, no. of machine parts produces  \frac{114 *15}{6}\\=285

---------------------------------------------------------------------------------------------------------

11. To make 8 jumbo muffins take, amount of baking powder used = 1\frac{1}{2} =\frac{3}{2}

To make 1 jumbo muffin, amount of baking powder used = \frac{3}{2} / 8 =3/16

To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used =  36 *3/16

=\frac{27}{4} =6\frac{3}{4}

-------------------------------------------------------------------------------------------------------------

16. a. Electricity consumed by 1 person in the Mendelez family :

=1560/4

=390 KWh

Electricity consumed by 1 person in the Barton family:

=2130/6

=355 KWh

Electricity consumed by 1 person in the Styles Family:

=1490/2

=745 KWh

The Styles family uses  twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.

------------------------------------------------------------------------------------------------------------

16.b. Water consumed by 1 person in the  Mendelez family = 3500/4=875 gallons

Water consumed by 1 person in the Barton family = 6400/6=1050 gallons

Water consumed by 1 person in the Styles family =2500/2=1250 gallons

5 0
3 years ago
Which ordered pairs are solutions to the inequality 2x+y&gt;−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


7 0
3 years ago
Read 2 more answers
a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils i
max2010maxim [7]

Answer:

325 pencils, 650 markers, 975 pens

Step-by-step explanation:

in picture.

8 0
3 years ago
3. Find the slope of the line that goes through the following points: (6.-1) and (-3, 11)
Alik [6]

Answer:

1.33

Step-by-step explanation:

y2-y1/x2-x1

=11+1/-3-6

=12/-9

=-4/3

=1.33

3 0
3 years ago
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