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3 years ago

Complete the equation: 43 in =ft .

Mathematics

2 answers:

adelina 88 [10]3 years ago

7 0

Answer:

3.58333 feet

Step-by-step explanation:

SIZIF [17.4K]3 years ago

5 0

The answer is 3’7 feet

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If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is

V125BC [204]

Answer:

The probability is $P(\= X < 40.4) = 0.84134$

Step-by-step explanation:

From the question we are told that

The mean is $\mu =40 \ \Omega$

The standard deviation is $\sigma = 2 \ \Omega$

The sample size is n = 25

The combined resistance is $\sum x_i = 1010 \ \Omega$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n}$

=> $\= x = \frac{1010 }{25}$

=> $\= x = 40.4 \ \Omega$

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 2 }{\sqrt{25} }$

=> $\sigma_{x} = 0.4$

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

$P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X < 40.4) = P( Z < 1 )$

From the z table the area under the normal curve to the left corresponding to 1 is

$P(\= X < 40.4) = P( Z < 1 ) = 0.84134$

$P(\= X < 40.4) = 0.84134$

3 0

3 years ago

Pls help with 19 its due in 15

Verdich [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

"A clock is positioned on an auditorium wall with its center 9 feet above the floor. The second hand is 10 inches long and conti

GenaCL600 [577]

Answer: f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

Step-by-step explanation:

When we have a circular motion, we can write this as:

f(x) = A*sin(k*x + f) + A*cos(k*x + f) + C.

where:

k is a constant that depends on the period.

f is a phase shift.

C is the mean height of the circular motion, in this case will be equal to the height of the center, that is 9ft.

C = 9ft.

A is the amplitude of the motion, in this case is equal to the radius, that is equal to the lenght of the second hand

A = 10in

But we should write both quantities in the same units, so we have:

1ft = 12in

then:

C = 9ft = 9*12in = 108in

Then our equation is:

f(x) = 10in*cos(k*x + f) + 10in*sin(k*x + f) + 108in

now, x = 0s coincides with the noon

so at x = 0s, the second hand is pointint to the twelve, this means that is in the max height, so we have:

F(0s) = 10in*cos(0 + f) + 10in*sin(0 + f) + 108 in

Now, the maximum value will be when the value inside the sinusoidals is 0.

(because cos(0) = 1 and sin(0) = 0)

then we have that f = 0.

Now, we know that it takes 60 seconds to do a full revolution, and for the sinusodial functions the period is 2*pi

Then we have:

c*60s = 2*pi

c = 2*pi/60s.

Then the equation is:

f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

4 0

3 years ago

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Find the sum <br>6+9+12+...+93<br><br>Sn=

Burka [1]

We notice that:
9-6 = 3
12-9 = 3 , Then we can conclude that this is an arithmetic progression with:
1st term a₁ = 6 and with common difference d = 3

So the first term is 6 and the last term is 93.
the formula of the sum in a A.P is :

S = (a + last term).n/2, n being the rank of the last term. So to be
able to find S, we have to calculate the value of n

We know that the last value of a A.P is :
last value = a₁ + (n-1)d
93 = 6 +(n-1)(3) → 93 = 6 + 3n -3 → n = 90/3 → n = 30 (rank 30th)

Now we can find the sum:
S = (a₁ + last term)n/2

S = (6+93)30/2

S = (99).15 = 1,485

7 0

3 years ago

What is the median of 6 8 10 12 12 15 15 20?

I am Lyosha [343]

Answer:

I think is 12..........

8 0

3 years ago

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