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Nostrana [21]
2 years ago
15

Emma's square patio below has been area=31 sq ft. She decides to decrease one dimension by 1 foot and decreases the other dimens

ion by 4 feet. DO NOT USE DECIMAL APPROXIMATIONS. What are the dimensions? ​
Mathematics
1 answer:
Andreas93 [3]2 years ago
5 0

Answer:

4.57ft  by 1.57 ft

Step-by-step explanation:

We are given that

Emma's square patio has been area=31 sq.ft

One dimension decrease by 1 foot and other dimension decrease by 4 feet.

We have to find the new dimensions of Emma's patio.

Let x be the side of Emma's square patio

We know that

Area of square=x^2

x^2=31

x=\sqrt{31}=5.57 ft

One dimension=5.57-1=4.57 ft

other dimension=5.57-4=1.57 ft

Hence, the new dimension of Emma's patio is given by

4.57ft  by 1.57 ft

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Which data sets have outliers? Check all that apply.
Alex Ar [27]

Answer:

(B), (D) and (E)

Step-by-step explanation:

An outlier is an observation which is quite different or very far from the rest of the given values of the data set.

(A) The given data set is:

14, 21, 24, 25, 27, 32, 35

Since, in the given data set, the values ranges from 14 to 35 in which no outlier is present, thus this data set does not contain any outlier.

thus, this option is incorrect.

(B) The given data set is:

15, 30, 35, 41, 44, 50, 78

In this data set, 78 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

(C) The given data set is:

16, 32, 38, 39, 41, 42, 58

In the given data set, there is no outlier present, thus this option is incorrect.

(D) The given data set is:

17, 23, 28, 31, 39, 45, 75

In this data set, 75 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

(E) The given data set is:

18, 30, 34, 38, 43, 45, 68

In this data set, 68 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

7 0
2 years ago
Read 2 more answers
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
Basile [38]

Answer:

Step-by-step explanation:

The given quadratic equation is

2x^2+3x-8 = 0

To find the roots of the equation. We will apply the general formula for quadratic equations

x = -b ± √b^2 - 4ac]/2a

from the equation,

a = 2

b = 3

c = -8

It becomes

x = [- 3 ± √3^2 - 4(2 × -8)]/2×2

x = - 3 ± √9 - 4(- 16)]/2×2

x = [- 3 ± √9 + 64]/2×2

x = [- 3 ± √73]/4

x = [- 3 ± 8.544]/4

x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4

x = 5.544/4 or - 11.544/4

x = 1.386 or x = - 2.886

The positive solution is 1.39 rounded up to the nearest hundredth

8 0
2 years ago
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Maria has a cube-shaped box that measures 9 inches along each edge. Can she fit 1,000 1-cubic-inch cubes inside the box?
morpeh [17]

Answer:

No

Step-by-step explanation:

She would be able to fit 729 cubes but not 1000.

3 0
1 year ago
If PQ and RS intersect to form four right angles which statement is true
Rus_ich [418]
Given that PQ and RS intersect to form four right angles, then they form an angle of 90 degrees, this implies that:
if the meet at point O, 
then;
∠POR=∠POS=∠QOS=∠ROQ=90°
Therefore the correct statement is:
PQ is perpendicular to RS
that is to mean:
PQ⊥RS
The answer is C.
7 0
1 year ago
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A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed n
luda_lava [24]

Answer:

the machine is mixing the nuts are not  in the ratio 5:2:2:1.

Step-by-step explanation:

Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.

A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.

Create hypotheses as

H0: Mixture is as per the ratio 5:2:2:1

Ha: Mixture is not as per the ratio

(Two tailed chi square test)

Expected values as per ratio are calculated as 5/10 of 500 and so on

Exp        250      100    100       50        500

Obs       269      112       74       45         500

O-E          19        -12      -26       -5           0

Chi          1.343   1.286  9.135   0.556   12.318

square

df = 3

p value = 0.00637

Since p value < alpha, we reject H0

i.e. ratio is not as per the given

4 0
2 years ago
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