Another point also lies on the line y = 3x  2

Hola alguien puede ayudarme a resolver estos ejercicios por favor Ejercicios de intervalos 1.- Escribe en todas las formas posib

yawa3891 [41]

Answer:

Tenemos 3 formas de escribir cada intervalo, una es con solo texto, la otra es usando los símbolos { <, >, ≤, ≥ }, y la última es con intervalos, donde:

( se usa para " < x "

) se usa para " > x "

[ se usa para " ≤ x "

] se usa para " ≥ x "

a) -2 ≤ x ≤3

Esto se escribe como:

"números mayores o iguales que -2 y menores o iguales que 3"

y

[-2, 3]

b) Números mayores que –1

Las otras formas de escribir esto son:

-1 < x

y no tenemos limite mayor, entonces:

(-1, ∞)

con -∞ y ∞ siempre se usan los símbolos ( o )

c) (–[infinity], –5]

Las otras notaciones son:

"Un numero menor o igual que -5"

x ≤ -5

d) Números mayores o iguales que –7 y menores que 19

Las otras notaciones son:

-7 ≤ x < 19

[-7, 19)

e) Números mayores que 9 y menores que 5.

Las otras formas de escribir esto son:

5 < x < 9

(5, 9)

8 0

3 years ago

An American car travels 32 miles on one gallon of gas. A European car travels 12.7 kilometers on one liter of gas. Which car get

morpeh [17]

American car

32 miles/gal * 1.609 km/mile * 1 gal/(3.785 liter) = 13.6 km/liter

European car

12.7 km/liter

The American car gets better mileage.

6 0

4 years ago

The waiting times at a certain bank are normally distributed with a mean waiting time of 3.7 minutes and a standard deviation of

muminat

Answer:

From the given options we can say the correct answer is d.) 6.3

Step-by-step explanation:

The waiting times at the bank are given to be normally distributed.

The mean of the waiting time is given as = 3.7 minutes

The given standard deviation is = 1.4 minutes

It is required to find the waiting time at the 97th percentile.

So we are required to find the time which can be said to be the waiting time which occurs with 97 % probability.

Let the time required be designated as y.

Therefore we can write p(X < y) = 0.97 (where 0.97 means the 97th percentile)

This is a left tailed test.

Using the formula from MSEXCEL to find y we get

y = NORMINV(0.97, 3.7, 1.4) = 6.333.

The other approach would to find the Z value corresponding to the probability value from the Z Table

The Z value for a probability of 0.97 gives us Z = 1.881 .

Therefore $\frac{y - 3.7}{1.4} = 1.881$ . Therefore y = (1.881 × 1.4) + 3.7 = 6.33

Therefore from the given options we can say the correct answer is d.) 6.3

7 0

3 years ago

4-4[6+2n]=-28 I need help with this

kobusy [5.1K]

Multiply the term in parentheses by its coefficient:

$4(6 + 2n) = 4 * 6 + 4 * 2n = 24 + 8n$

$4 - (24 + 8n) = -28$

$4 - 24 - 8n = -28$

Combine like terms:

$-20 - 8n = -28$

Add 20 to both sides:

$-8n = -8$

Divide both sides by -8 to get n by itself:

$n = 1$

The value of n is 1.

4 0

3 years ago

Please help, And Please show work so i can better understand. I replaced the angle symbol with the word angle. "<" I know i l

Gnesinka [82]

angle 2 = 114°

supplementary angles sum to 180° thus

5y + 16 + 10y + 14 = 180

15y + 30 = 180

subtract 30 from both sides

15y = 180 - 30 = 150

divide both sides by 15

y = $\frac{150}{15}$ = 10

angle 1 = (5 × 10) + 16 = 50 + 16 = 66° and

angle 2 = (10 × 10) + 14 = 100 + 14 = 114°

8 0

4 years ago

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