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KIM [24]
3 years ago
15

Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power

Mathematics
2 answers:
Daniel [21]3 years ago
6 0

Answer:

(7x)^{\frac{2}{3}}=\sqrt[3]{49x^{2} }

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

(7x)^{\frac{2}{3}}

To express the above expression as a radical, we need to recall that;

a^{\frac{b}{n}}=\sqrt[n]{a^{b}}

Therefore;

(7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }

insens350 [35]3 years ago
3 0

Answer:

(7x)^{\frac{2}{3}}=\sqrt[3]{49x^{2} }

Step-by-step explanation:

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Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr
fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0
3 years ago
Área of panel 5ft by 16ft
miv72 [106K]
The area of the panel is 80ft^2
7 0
2 years ago
Can someone help me plz am stuck on this.
chubhunter [2.5K]
First Question

circumference = pi * diameter

diameter = circumference/pi = 94.2 in./3.14 = 30 in.

The wheels have a 30-inch diameter.
-----------------------------------------------------------------------
Second question

The area of a circle: area = pi * r^2

radius = diameter/2 = 94.2 in./2 = 47.1 in.

area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2

Answer: 6966 in.^2
-----------------------------------------------------------------------
Third question

The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.

4 * 94.2 in. = 376.8 in.

Answer: 376.8 in.
6 0
3 years ago
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