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3 years ago

Write a sentence to represent this equation 3c + 5 = 11

Mathematics

1 answer:

valentina_108 [34]3 years ago

3 0

Answer:

$3c + 5 = 11 \\ 3c + 5 - 5 = 11 - 5 \\ 3c = 6 \\ \frac{3c}{3} = \frac{6}{3} \\ solution |c = 2|$

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The radius of a sphere is multiplied by 1/7 what effect does this have on the volume of the sphere

GuDViN [60]

Answer: answer is 1/343

Step-by-step explanation: you cube the denominator ur welcome :)

6 0

3 years ago

Read 2 more answers

A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year-round to reduce air

Stells [14]

Answer:

a) 0.0853

b) 0.0000

Step-by-step explanation:

Parameters given stated that;

H₀ : p = 0.6

H₁ : p = 0.6, this explains the acceptance region as;

p° ≤ $\frac{315}{500}$ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)

a).

the probability of type I error if exactly 60% is calculated as :

∝ = P (Reject H₀ | H₀ is true)

= P (p°>0.63 | p=0.6)

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p}{\sqrt{\frac{p(1-p)}{n}}} >\frac{0.63-p}{\sqrt{\frac{p(1-p)}{n}}} |p=0.6]$

= P $[\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]$

= P $[Z>\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500} } } ]$

= P [Z > 1.37]

= 1 - P [Z ≤ 1.37]

= 1 - Ф (1.37)

= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)

≅ 0.0853

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

= P [p° ≤ 0.63 | p = 0.75]

where p° is represented as pI in the subsequent calculated steps below

= P $[\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]$

= P $[\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P $[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]$

= P [Z ≤ -6.20]

= Ф (-6.20)

≅ 0.0000 (from Cumulative Standard Normal Distribution Table).

6 0

3 years ago

Please fill in the blank

Katen [24]

Answer:

The independent variable is h

The dependent variable is P

Domain of h: 3<h<23

Range of h: 26<P<46

Step-by-step explanation:

Domain and Range of Functions

A function that is explicitly defined can have restrictions on its variables that guarantee its existence. For example, a function with a variable denominator must restrict the domain (values of the dependent variable) so, the denominator is never zero. Once determined the domain of the function, the range is made of all values the function can take.

We have a triangle with sides h,13, and 10. The perimeter of the triangle, called P is the sum of its sides

P=h+13+10=23+h

h is the independent variable, whose value modify the value of P, so P is the dependent value

Since h is the third side of the triangle, some restrictions apply. First, h cannot be less than the difference between 13 and 10, because it will produce an incomplete triangle. For example, if h=2, it won't be enough to bond the other vertices of the triangle with a line. So the minimum value of h is 3.

On the other hand, h cannot exceed the sum of the other sides, because in that case, they won't be long enough to reach the last vertex of the triangle. So h must be less than 23. It forms the restriction of the domain

3<h<23

As a consequence, the range will be restricted also.

Since P=23+h, we get h=P-23. Replacing in the above domain:

3<P-23<23

Adding 23, the range is revealed:

26<P<46

7 0

3 years ago

Read 2 more answers

What is the slope of the line that contains the points (-6,-2) and (3,-2)

ruslelena [56]

Slope = (y2 - y1)/(x2 - x1) = (-2 - (-2))/(3 - (-6)) = (-2 + 2)/(3 + 6) = 0/9 = 0

Required slope = 0

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3 years ago

(5-21)-(3 + 1) = simplify involving i

ArbitrLikvidat [17]

Answer:

-20

Step-by-step explanation:

Do the math in the parenthesis first

(5-21) = -16

(3+1) = 4

Rewrite the problem

- 16 - 4= -20

The answer is -20

3 0

3 years ago