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Semmy [17]
2 years ago
6

Help&EXPLAIN ••••••••••••••••••• Help plz

Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

diameter = 2.5 feet

Step-by-step explanation:

Circumference of a circle is given as C = πd

Circumference of the tree trunk = 7.85 ft

π = 3.14

Diameter of the tree trunk = d

Thus:

7.85 = 3.14*d

Divide both sides by 3.14

7.85/3.14 = 3.14*d/3.14

2.5 = d

d = 2.5 ft

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A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
Find an equation equivalent to r = 10sin ø in rectangular coordinates.
kherson [118]

Answer: x^2 + y^2 -10y = 0

Step-by-step explanation:

Cartesian coordinates, also called the Rectangular coordinates, isdefined in terms of x and y. So, for the problem θ has to be eliminated or converted using basic foundations that are described by the unit circle and the right triangle trigonometry.

r= 10sin(θ)

Remember that:

x= r × cos(θ)

y= r × sin(θ)

r^2= x^2 + y^2

Multiply both sides of the equation by r. This will give:

r × r = 10r × sin(θ)

r^2 = 10r × sin(θ)

x^2 + y^2= 10r × sin(θ)

Because y= r × sin(θ), we can make a substitution. This will be:

x^2 + y^2= 10y

x^2 + y^2 -10y = 0

The above equation is the Rectangular coordinate equivalent to the given equation.

4 0
3 years ago
You roll a​ die, winning nothing if the number of spots is odd​, ​$5 for a 2 or a 4​, and ​$20 for a 6. ​a) Find the expected va
Dovator [93]

TeX rendering has been iffy at best on this site for the past few days, at least in my experience. I've attached a solution below.

8 0
2 years ago
What is the value of the expression?
Vesnalui [34]

1.583 3 is repeating

Hope this help you !

4 0
3 years ago
The scientific notation 3.14 x 10 -3 has what value? <br> 0.000314<br> 0.00314<br> 0.0314<br> 0.314
Bingel [31]
3.14 x 10⁻³ has the value 0.00314

The exponent tells us the number of times the decimal has to move. The sign of the exponent tells us the direction of the movement of the decimal.

The negative sign of the exponent means that the decimal has to move to the right.

From 0.00314, decimal move to the right 0003.14

If the decimal is positive, it means that the decimal point moved to the left of the number.

3.14 x 10³ in expanded form is 3140 

From 3140. decimal move to the left 3.140


3 0
2 years ago
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