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Shkiper50 [21]
3 years ago
8

What is the value of a y in the equation 6.4x+2.8y=44.4 when x=3

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

ANSWER: y=9

First substitute x

6.4(3)+2.8y=44.4

19.2+2.8y=44.4

subtract 19.2 from both sides

2.8y=25.2

divide by 2.8 on both sides

y=9

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Work out the interior angle of the octagon.<br> Please show the working out.
bija089 [108]

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

5 0
2 years ago
Read 2 more answers
The rectangle below has an area of 70y^8+30y^6.The width of the rectangle is equal to the greatest common monomial factor of 70y
swat32

Answer:

Width 10y^6 units

Length 7y^2+3 units

Step-by-step explanation:

The rectangle has an area of 70y^8+30y^6.

The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. Find this monomial factor:

70y^8=2\cdot 5\cdot 7\cdot y^8\\ \\30y^6=2\cdot 3\cdot 5\cdot y^6\\ \\GCF(70y^8,30y^6)=2\cdot 5\cdot y^6=10y^6

Hence, the width of the rectangle is 10y^6 units.

The area of the rectangle can be rewritten as

10y^6(7y^2+3).

The area of the rectangle is the product of its width by its length, then the length of the rectangle is 7y^2+3 units.

8 0
3 years ago
A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0
3 years ago
A rectangular prism has a length of 9 units and width of 6 units. The prism has been completely packed with unit cubes. Which st
liubo4ka [24]

Answer: Calculator online for a rectangular prism. Cuboid Calculator. Calculate the unknown defining surface areas, lengths, widths, heights, and volume of a rectangular prism with any 3 known variables. Online calculators and formulas for a prism and other geometry problems.

Step-by-step explanation: mark me branliest

4 0
2 years ago
How to find the mean of a fraction
NeX [460]

Answer:

To find the average of a set of fractions,add all fractions, then divide the sum by the number of fractions as follows: Convert the integers and mixed numbers to improper fractions.

Step-by-step explanation:

4 0
3 years ago
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