All categories

2 years ago

Does 3.2 - 4d=2.3d+3 no solution or identity

Mathematics

2 answers:

Fynjy0 [20]2 years ago

7 0

D=0.04286 is the answer

Setler79 [48]2 years ago

4 0

This equation does have a solution and it is 0.03174603

You might be interested in

Need to simplify (x^2y)^4

svlad2 [7]

Answer:

$x^{8y}$

Step-by-step explanation:

$(x^{2y})^4 = x^{4*(2y)} = x^{8y}$

4 0

2 years ago

In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack o

Artyom0805 [142]

Answer:

$E.G=\$2$

Step-by-step explanation:

Sample size 52 card

Pay for J or Q $=\$17$

Pay for King or Ace $=\$5$

Pay for others $=-\$2$

Therefore

Probability of drawing J or Q

$P(J&Q)=\frac{8}{52}$

Probability or drawing King or Ace

$P(K or A)=\frac{8}{52}$

Probability or drawing Other cards

$P(O)=\frac{36}{52}$

Therefore

Expected Gain is mathematically given as

$E.G=\sum_xP(x)$

$E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}$

$E.G=\$2$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2

gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations. Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0

3 years ago

A student studying his classmates' cars' ages reports the 5-number summary as {1, 3, 4, 8, 20}. what is the iqr for his data?

timurjin [86]

IQR for the data {1, 3, 4, 8, 20} is 5.

Interquartile Range(IQR) for a data is defined as the difference between third quartile and first quartile.

denoted by IQR=Q₃-Q₁ (Q₃ is third quartile and Q₁ is first quartile)

The five number summary of a data set is represented as

{minimum, first quartile , second quartile , third quartile , maximum}..…(1)

According to the question

{1, 3, 4, 8, 20}

On comparing it with equation …(1)

minimum=1

Q₁ =3 , Q₂=4 , Q₃=8 , maximum =20

IQR=Q₃-Q₁

Substituting the values we get

IQR=8-3=5.

Therefore , Interquartile Range for the data {1, 3, 4, 8, 20} is 5.

Learn more about Inter Quartile Range here brainly.com/question/28037049

#SPJ4

3 0

1 year ago

Because the car that has a terrible oil leak not only as a new battery for the van but also slows him down because he needs the

Thepotemich [5.8K]

11 hours and 15 minutes to drive 500 miles

5 0

3 years ago