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timama [110]
3 years ago
13

if the value of a dependent variable y increases and the value of independent variable x increase, the graph of this relationshi

p could be a
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
When one quantity increases and the other quantity increases as well, then that is a direct proportional relationship.

So the graph of this relationship is a direct proportional relationship.

Hope this helps.
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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu
iVinArrow [24]

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

7 0
2 years ago
Calculate the amount and the compound interest on Rs 12.000 in 2 years at 10%
mel-nik [20]

Answer:

Amount = p( 1+r/100) ^n

= 12000 ( 1+10/100) ²

= 12000( 10/10+1/10) ²

= 12000( 11/10) ²

= 12000 x 11/10 x 11/10

= 14520 rs.

Compund interest = amount - principal

= 14520 - 12000

= 2520rs.

Next question :- no of men can complete a piece of work in 7 days = 36

No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42

= 252 ÷ 42

= 6 men

5 0
2 years ago
Find x.<br> I had been stuck on this one for awhile
Arlecino [84]

Answer:

34 degrees

Step-by-step explanation:

ok so 180-111=69

then the opposite angle from 37 is also 37

the the missing angle from the left triangle has to be 103

so then the angle below x is 77

and so we know x = 34 degrees

I hope that made sense.

4 0
2 years ago
Which is bigger 0.125 or 0.15
brilliants [131]
0.15 is bigger, cause the second digit after the decimal is bigger.  You would have to add another 0.025 to 0.125 to bring it up to 0.15
3 0
3 years ago
Read 2 more answers
Hello! Please help.
valina [46]

1 -

3 cups left.

2-

David biked  a total of 158 miles (option C)

Why?

- First exercise:

To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.

So, calculating we have:

TotalMuffins=24=4*6\\\\UsedCups=\frac{1}{2}*4=2Cups

We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.

CupsLeft=5cups-2cups=3cups

Hence, there are 3 cups left.

- Second exercise:

We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.

So, calculating we have:

FirstDay=10miles*2=20miles\\SecondDay=10\frac{1}{2}miles=10.5miles\\ThirdDay=11miles*3=33miles\\FourthDay=11\frac{1}{2}miles*4=11.5miles*4=46miles\\FifthDay=12miles*3=36miles\\SixthDay=12\frac{1}{2}miles=12.5miles

Total=20miles+10.5miles+33miles+46miles+36miles+12.5miles\\Total=158miles

Hence, we have that David covered a total 158 miles. (Option C)

Have a nice day!

5 0
3 years ago
Read 2 more answers
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