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jok3333 [9.3K]
3 years ago
15

Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and

D(-2,4).What is the area of the rectangle ABCD?
Mathematics
2 answers:
Cloud [144]3 years ago
7 0

Answer: 15

Step-by-step explanation:

When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15

horsena [70]3 years ago
7 0

Answer: 16 units

Step-by-step explanation:

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In a sample of 388 people in a certain, 22% had red hair. Find a 99% confidence interval for the proportion of people in the cou
Anit [1.1K]

Answer: (0.1658, 0.2742)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where  n= sample size

z*= Critical value

\hat{p} = sample proportion.

As per given , we have

Significance level : \alpha=1-0.99=0.01

According to z-table, Critical value for 99% confidence interval : z*=2.576

Let p be the proportion of people in the country that have red hair.

n= 388

\hat{p}=0.22

Now, required confidence interval for proportion of people in the country that have red hair will be :-

0.22\pm (2.576)\sqrt{\dfrac{0.22(1-0.22)}{388}}

0.22\pm (2.576)\sqrt{0.000442268}

0.22\pm (2.576)(0.02103)

(0.22-0.05417328,\ 0.22+0.05417328 )=(0.16582672,\ 0.27417328)\\\\\approx(0.1658,\ 0.2742)

The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)

8 0
3 years ago
System with 3 variable. solve pleaseeee<br><br> x+4y-5z=-7<br> 3x+2y+3z=7<br> 2x+y+5z=8
7nadin3 [17]
To solve this we need to form 2 equations with only 2 variables.
x+4y-5z=-7
2x+y+5z=8
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15x+10y+15z=35
6x+3y+15z=24
9x+7y=11

Now we need to use these to find x and y
9x+15y=3
9x+7y=11
8y=-8
y=-1
Therefore:
x=2
From this we can find that:
2(2)-1+5z=8
Therefore z=1
The answer is x=2, y=-1, z=1
6 0
3 years ago
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