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Ilya [14]
3 years ago
6

Patrice, por sí solo, puede pintar cuatro cuartos en 10 horas. Si contrata a April para que le ayude, pueden hacer el mismo trab

ajo en 6 horas. ¿Cuánto tiempo le tomará a April pintar cuatro cuartos si trabaja sola?
Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

15 horas

Step-by-step explanation:

Representemos:

El número de horas que Patrice puede pintar solo = P = 10 horas

El número de horas que April puede pintar por su cuenta = A = X horas

El número total de horas que pueden trabajar juntos para hacer el mismo trabajo = T = 6

Por tanto, nuestra fórmula es:

1 / P + 1 / A = 1 / T

1/10 + 1 / A = 1/6

1 / A = 1/6 -1/10

Denominador común más bajo = 30

1 / A = 5 - 3/30

1 / A = 2/30

1 / A = 1/15

Multiplicar cruzada

A × 1 = 15 × 1

A = 15 horas

Por lo tanto, la cantidad de horas que April puede pintar cuatro habitaciones si trabaja sola es de 15 horas.

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Answer:

The unknown angle is 80

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

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20+80+x = 180

Add like terms

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Subtract 100 from each side

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3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

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Answer:  brainliest please

Part 1) Option D

Part 2) Option C

Step-by-step explanation:

we know that

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