Ashley needs 4.6 yards of chain to hang some flower baskets. The chain is sold by the meter. How many meters does Ashley need?

A study was designed to investigate the effects of two variables, (1) A student's level of mathematical anxiety and (2) teach

Mashcka [7]

Answer:

$P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)$

And we can find this probability using the complement rule:

$P(z>-2)=1-P(z$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(z>-2)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(440,20)$

Where $\mu=440$ and $\sigma=20$

We are interested on this probability

$P(X>440)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)$

And we can find this probability using the complement rule:

$P(z>-2)=1-P(z$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(z>-2)=1-P(z$

6 0

3 years ago

In the pendulum formula, we use g=9.8 m/s^2 for the acceleration due to gravity on Earth. But what about on Venus? If an astrona

Vikentia [17]

Answer:

8.9 (just got it on Apex)

Step-by-step explanation:

(guessed correct on Apex due to other questions on Brainly that were relative to this one)

5 0

3 years ago

Read 2 more answers

9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c

GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor ( $F$ ), en newtons, es:

$F = m\cdot a$ (1)

Donde:

$m$ - Masa, en kilogramos.

$a$ - Aceleración, en metros por segundo cuadrado.

Si sabemos que $m = 150\,kg$ y $a = 4\,\frac{m}{s^{2}}$ , entonces la fuerza neta del ascensor es:

$F = m\cdot a$

$F = 600\,N$

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que $m = 150\,kg$ y $a = -6\,\frac{m}{s^{2}}$ , entonces la fuerza neta del ascensor es:

$F = m\cdot a$

$F = -900\,N$

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

8 0

3 years ago

Eva maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip. For the next n hours of the t

Schach [20]

Answer:

Step-by-step explanation:

I don't see the choices, but I will make the equations that seems to be correct to me.

Known facts:

maintained an average speed of 35 miles per hour (mph) for the first m hours of her road trip.
next n hours of the trip, she drove at an average speed of 60 mph.
Eva drove a total of 225 miles in 4.5 hours.

Let's make the equations:

m + n = 4.5

35m + 60n = 225

Hope that helps!

7 0

2 years ago

What is the volume of the following triangular prism?

valkas [14]

to get volume, you must multiply all the numbers so once you multiply all of them, you'd get 1944000

7 0

3 years ago