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3 years ago

Tara raked 5% more leaves than Adam raked. Tara raked 357 liters of leaves. How many liters of leaves did adam rake

Mathematics

1 answer:

Hoochie [10]3 years ago

3 0

357 liters times 5% = 17.85 liters

That means that Adam raked (357 + 17.85) or 374.85 liters

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SOMEONE PLEASE HELP!!

Mazyrski [523]

Answer:

x = 18

Step-by-step explanation:

the sum of any exterior angle is equal to the sum of any two interior angles

3x-11 + 5x+14 = 9x-15

8x + 3 = 9x - 15

3 = x - 15

x = 18

4 0

2 years ago

Can someone explain how to do this and the answer?

inysia [295]

Step-by-step explanation:

Helo

your answer refer to the attachment

7 0

3 years ago

La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio as

elixir [45]

Answer:

x^2 = 121

Step-by-step explanation:

Sea el ancho del terreno x metros

Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x

Matemáticamente, el área de un rectángulo es;

Anchura longitud Por lo tanto, tenemos

x * 2x = 242 metros cuadrados

Así; 2x ^ 2 = 242

x ^ 2 = 242/2

x ^ 2 = 121

7 0

2 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

3 years ago

The function, y(r)=2.76r , is used to convert Russian rubles in Japanese yen, and the function, P(y)=0.16y , is used to convert

timurjin [86]

They probably want 880 pesos, since they asked you do intermediate rounding

but a more accurate answer would be
883.20 pesos

To combine the functions, you'd substitute in 2.76r for y in 0.16y. This would give you 0.16(2.76r), which simplifies to 0.4416r, but they want you round this to the nearest hundredth, so its really 0.44r. Substitute in the 2000 for r and you get 0.44 * 2000 which is 880 pesos

5 0

3 years ago