Which equation shows y=34x−52 in standard form?

The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide a pin drop near one focus can clearly be

dedylja [7]

Answer:

Let the coordinate of focus be $(\pm c , 0)$

As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.

⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft

Semi-major axis (a) = 100 ft and

semi-minor axis(b) = 50 ft

Then, by an equation:

$c^2 = a^2-b^2$

Solve for c:

Substitute the given values we have;

$c^2=(100)^2-(50)^2$

Simplify:

$c^2 = 7500$

or

$c=\sqrt{7500} = 86.6025404$ ft

Distance between the foci is, $2c = 2 \cdot 86.6025404 = 173.205081$

Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft

6 0

4 years ago

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Pavel [41]

Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

b) $P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

c) $P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

d) $P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n p)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Part a

For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

Part b

For this case we want this probability:

$P(X=0)$

And replacing we got:

$P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

Part c

For this case we want this probability:

$P(X=3)$

And replacing we got:

$P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

Part d

For this cae we want thi probability:

$P(X \geq 1)$

And we can use the complment rule and we got:

$P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

4 0

3 years ago

Someone plssss help (15 points) ty

NNADVOKAT [17]

Answer:

x = 67

Step-by-step explanation:

2x - 17 + 63 = 180 {Linear pair}

2x + 46 = 180

2x = 180 - 46

2x = 134

x = 134/2

x = 67

5 0

3 years ago

Read 2 more answers

A drama class has a total of 39 students. The number of males is 9 more than the number of females. How many males and how many

Artist 52 [7]

Answer:

Step-by-step explanation:M+F=39

M+F=39

F=M-9

Substitute

M + M - 9 = 39

2M = 48

M=48/2

M=24

24+F=39

F=39-24=15

F=15, M=24

3 0

3 years ago

Read 2 more answers

En una ciudad se registró una temperatura de 12°c bajo cero a las 3:00 am si a las 7:00am del mismo dia la temperatura era tres

hjlf

Answer:

24°c

Step-by-step explanation:

Cuando se dice que la temperatura esta "mayor" significaria que esta aumentando y entorno subiendo a ser mas caliente. Siendo este el caso, si la temperatura a las 3:00 estaba a 12c bajo cero entonces a las 7:00 estaria a 24c. Esto es por que un aumento de tres vecesseria un aumento de 36 grados (12*3). 12c grados bajo cero seria un numero negativo y si sumamos estos numeros nos daria 24c grados.

-12 + 36 = 24

7 0

3 years ago