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3 years ago

PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

6 0

Answer:

m+ p+ q= 180°

m+76°+72°=180°

m+ 148=180°

m=180°-148

m=32°

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(18 months 4.25) Jin borrows $3,600 and plans to pay the loan off in 18 months. How much simple interest will he owe if it takes

irina1246 [14]

Answer:

I believe your answer is $153.00

Step-by-step explanation:

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3 years ago

Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.

goldenfox [79]

Answer:

$\mu = 25$

$\lambda =0.04$

$P(X > 65 ) =0.0742$

Step-by-step explanation:

From the question we are told that

The number of success is n = 5

The time duration is N = 125 minutes

Generally the mean of the random variable is mathematically represented as

$\mu = \frac{N}{n}$

=> $\mu = \frac{125}{5}$

=> $\mu = 25$

Generally the rate parameter is mathematically represented as

$\lambda = \frac{1}{\mu}$

=> $\lambda = \frac{1}{25}$

=> $\lambda =0.04$

Generally the cumulative distribution function for exponential distribution function is

$F(x) = \left \{0 \ \ \ \ \ \ x \le 0}} \atop {1 -e^{-\lambda t }\ x>0}} \right.$

Generally the probability that the time to success will be more than 63 minutes is mathematically represented as

$P(X > 65 ) = 1 - P(X \le 65)$

Here

$P(X \le 65) = 1 -e^{-65 * \lambda }$

=> $P(X \le 65) = 1 -e^{-65 * 0.04 }$

=> $P(X \le 65) = 0.92573$

$P(X > 65 ) = 1 - 0.92573$

$P(X > 65 ) =0.0742$

7 0

4 years ago

Which of the following is not a true statement about pi?

FinnZ [79.3K]

Answer:

Option D.The ratio of the radius of a circle to its circumference

Step-by-step explanation:

<em>Verify each statement</em>

A) The ratio of the circumference of a circle to its diameter

The statement is True

Because

$C=\pi D$

$\pi=C/D$

B) Approximated to be 3.14

The statement is True

Because $\pi=3.14159265...$

C) Approximated to be 22/7

The statement is True

Because

$\frac{22}{7}=3.1423$

D) The ratio of the radius of a circle to its circumference

The statement is not True

Because

$\frac{r}{2\pi r}=\frac{1}{2\pi}$

4 0

3 years ago

7.3579E8 in standard form

Afina-wow [57]

Answer:

735790000

Step-by-step explanation:

8 0

3 years ago

A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri

Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

$LA=4[\frac{1}{2}bl]$

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height

To find out the slant height we need to apply the Pythagorean Theorem

$l^2=(b/2)^2+h^2$

we have

$b=35.42\ m$

$h=21.64\ m$

substitute

$l^2=(35.42/2)^2+21.64^2$

$l^2=781.9337$

$l=27.96\ m$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bl]$

we have

$l=27.96\ m$

$b=35.42\ m$

substitute

$LA=4[\frac{1}{2}(35.42)(27.96)]$

$LA=1,980.6864\ m^2$

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

using proportion

$\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L$

Round up

793 liters of washing fluid is needed

6 0

3 years ago