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3 years ago

In your dresser are five blue shirts, three red shirts,

2 answers:

8 0

First, add all of the shirts together (5+3+2) which equals 10 shirts in total.

a) The probability of selecting a red shirt would be 3/10 or 30% chance.

b) The probability that a black shirt would not be selected would be 8/10 or 80% chance.

Katarina [22]3 years ago

5 0

a) What is the probability of randomly selecting a red shirt?

-> Probability can be solved with wanted outcomes divided by total outcomes

$\frac{3}{5+3+2} =\frac{3}{10}$

Answer: $\frac{3}{10}$ or 30%

b) What is the probability that a randomly selected shirt is not

black?

-> Probability can be solved with wanted outcomes divided by total outcomes

$\frac{(5+3+2)-2}{5+3+2} =\frac{10-2}{10} =\frac{8}{10}=\frac{4}{5}$

Answer: $\frac{4}{5}$ or 80%

Have a nice day!

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- Heather

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4-3+2(x-1) if x = 1 Help me plzzzz

motikmotik

Just replace x with 1.

4-3+2(1-1)

then solve

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4 years ago

Solve the graph to find

Juliette [100K]

Answer:

Step-by-step explanation:

x=3 x=2. x=1

y=1 *3 y=1 *2. y=1 *1

y=1 y=1. y=1

(3,1). (2,1) (1,1)

‘The others are the same. Probably you can use a calculator too

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3 years ago

A car leaves an intersection traveling west. Its position 4 sec later is 18 ft from the intersection. At the same time, another

Evgen [1.6K]

Answer:

The rate at which the distance between the two cars is changing is;

15.53 ft/sec.

Step-by-step explanation:

To solve the question, we note that

Position of car A 4 s after start of motion, w = 18 ft west,

Position of car B 4 s after start of motion, n = 27 ft north

Therefore

The distance between the two cars at the 4 s instance is

d² = w² + n²

d² = 18² + 27² = 1053 ft² and

d = 32.45 ft

The rate at which the distance between the two cars is changing is given by;

Differentiating both sides of the equation, d² = w² + n², with respect to t as follows.

$\frac{dd^2}{dt} = \frac{dw^2}{dt} + \frac{dn^2}{dt} \Longrightarrow 2 d\frac{dd}{dt} = 2w\frac{dw}{dt} + 2n\frac{dn}{dt}$

It is given that the speeds of car A and car B at the 4 second instant are 7 ft/sec and 14 ft/sec, respectively

That is;

$\frac{dw}{dt} = 7\frac{ft}{sec}$ and $\frac{dn}{dt} = 14\frac{ft}{sec}$

Substituting the values of speed in the equation of rate of change gives

$2 d\frac{dd}{dt} = 2w\frac{dw}{dt} + 2n\frac{dn}{dt}\Longrightarrow d\frac{dd}{dt} = w\frac{dw}{dt} + n\frac{dn}{dt}$

$d\frac{dd}{dt} = w\frac{dw}{dt} + n\frac{dn}{dt} \Longrightarrow 32.45\frac{dd}{dt} = 18\times 7 + 27\times 14 = 504$

$32.45\frac{dd}{dt} = 504$

$\frac{dd}{dt} = \frac{504}{32.45} = 15.53 \frac{ft}{sec}$

The rate at which the distance between the two cars is changing = dd/dt = 15.53 ft/sec.

7 0

3 years ago

Read 2 more answers

The government of the Republic of Lemon Island plans to transform their lemon-based

sattari [20]

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay. The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y. The rate of growth, A−B, is 0.02. We know A = 0.06, so B = 0.04.

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

7 0

3 years ago

List three different combinations of coins, each with a value of 140% of a dollar

Agata [3.3K]

Answer:

1) 14 dimes

2) 5 quarters 3 nickels

3) 140 pennies

4) 28 nickels

5) 4 quarters 4 dimes

6) 10 dimes 4 nickels

Step-by-step explanation:

140% = $1.40

5 0

3 years ago