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KATRIN_1 [288]
2 years ago
15

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2a equals negative 2 and StartFraction 3 Over 4 EndFraction. when a = –2a equals negative 2 and StartFraction 3 Over 4 EndFraction.. Which equation represents this direct variation between a and b?
Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

b

Step-by-step explanation:

Guest
1 year ago
actually its A
You might be interested in
Nandita earned $224 last month.
dexar [7]

Answer:

       X     =      8    x    28 =   224

                   

      Nandita  earns $8 last month by babysitting.

Step-by-step explanation:

                       225

divided by

                   <u>       28    </u>

                            8

4 0
2 years ago
Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundr
Crank

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = 2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2} scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

                                                   = 0.256 $

5 0
2 years ago
Oil leaks out of a tanker at a rate of r=f(t) liters per minute, where t is in minutes. If f(t)=Ae^(−kt), write a definite integ
Slav-nsk [51]

Answer:

The definite integral expressing the total quantity of oil, 'V', which leaks out of the tanker in the first hour is given as follows;

V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt

Step-by-step explanation:

From the question, we have;

The rate at which oil leaks out of the tanker, r = f(t)

The unit of the oil leak = Liters per minute

The unit of t = Minutes

If \ f(t) = A \cdot e^{(-k \cdot t )}

Therefore, we have;

The definite integral expressing the total quantity, 'V', of oil which leaks out of the tanker in the first hour is given as follows;

V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt

Therefore, we have;

\int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt = \dfrac{A \cdot e ^{60 \cdot k} - A}{k \cdot e ^{60 \cdot k} }

3 0
2 years ago
The two-way table shows the preferred vacation destination for people in different age groups. A 5-column table has 4 rows. The
Mice21 [21]

Answer:

C. The probability that a randomly selected person who chose Mexico as the preferred destination is a child is \frac{14}{113}

Step-by-step explanation:

You are given a two-way table:

\begin{array}{ccccc}&\text{Hawaii}&\text{Mexico}&\text{Florida}&\text{Total}\\\text{Child (less than13 years old)}&33&14&62&109\\\text{Teenager (13 - 17 years old)}&50&42&25&117\\\text{Adult (18 years old and up)}&64&57&8&129\\\text{Total}&147&113&95&355\end{array}

Check all options:

A. The probability that a randomly selected adult chose Hawaii as the preferred destination.

Number of people who choose Hawaii = 147

Number of teenagers who choose Hawaii = 50

Probability is

\dfrac{50}{147}

False

B. The probability that a randomly selected child chose Florida as the preferred destination.

Number of childs = 109

Number of childs who prefer Florida = 62

The probability is

\dfrac{62}{109}

False

C. The probability that a randomly selected person who chose Mexico as the preferred destination is a child.

Number of people who choose Mexico = 113

Number of people who choose Mexico and is a child = 14

The probability is

\dfrac{14}{113}

True

5 0
2 years ago
Read 2 more answers
The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter λ = 10. Compute the cond
Nonamiya [84]

Answer:

The probability is 0.2650

Step-by-step explanation:

Let's start assuming that men and women come in at the same rate.

Let's define the following random variables :

X : ''Number of people that enter a drugstore''

M : ''Number of men that enter a drugstore''

W : ''Number of women that enter a drugstore''

The number of people will be the number of men plus the number of women

⇒

X = M + W

We are also assuming that M and W are independent random variables.

X ~ Po (10)

M ~ Po (λ1)

W ~ Po (λ2)

λ1 = λ2 because we assumed that men and women come in at the same rate.

λ1 = λ2 = λ

λ1 + λ2 = λ + λ ⇒ 2λ = 10 ⇒ λ = 5

M ~ Po (5)

W ~ Po (5)

Because X is the sum of two independent Poisson random variables.

We are looking for :

P(M\leq 3/W=10)=P(M\leq 3)

Because we assume independence.

P(M\leq 3)= P(M=0)+P(M=1)+P(M=2)+P(M=3)

P(M=m)=\frac{5^{m}}{m!}e^{-5} because is a Poisson random variable with λ = 5

P(M\leq 3)=\frac{5^{0}}{0!}e^{-5}+\frac{5^{1}}{1!}e^{-5}+\frac{5^{2}}{2!}e^{-5}}+\frac{5^{3}}{3!}e^{-5}

P(M\leq 3)=e^{-5}+5e^{-5} +(\frac{25}{2})e^{-5} +\frac{125}{6}e^{-5}=0.2650

P(M\leq 3)=0.2650

5 0
2 years ago
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