Mountain climbers climb 15,840 feet on her way to the summit of a mountain how many miles did she climb

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿

Murljashka [212]

Answer:

Al estudiante le falta caminar $\frac{1}{3}$ de kilómetro.

Step-by-step explanation:

Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción $\frac{2}{3}$ .

El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción $\frac{1}{2}$ , por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:

$\frac{1}{2} *\frac{2}{3}$

Resolviendo:

$\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}$

Entonces, la distancia recorrida en bus es $\frac{1}{3}$ de kilómetro.

Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:

$\frac{2}{3} - \frac{1}{3}$

Resolviendo:

$\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}$

Al estudiante le falta caminar $\frac{1}{3}$ de kilómetro.

6 0

3 years ago

Which of the choices best describes the transformations that are represented by the footprints? A reflection across a line follo

Feliz [49]

Answer:

Line XY and line MP are co-planar. Which statement shows that the lines are parallel?

A. Line XY and line MP never intersect.

B.Line XY and line MP share the same endpoint.

C.Line XY and line MP intersect at a 90° angle.

D.Line XY and line MP meet at a right angle.

so its a

Step-by-step explanation:

7 0

3 years ago

What is accurate about the scientific results learned by counting tree rings? Study of tree rings and associated geology shows t

marissa [1.9K]

Answer:

The correct answer is "Study of tree rings and associated geology shows that the Earth is more than 12,429 years old"

Step-by-step explanation:

While tress have been growing long enough to prove the earth is more than 12,000 years old, it is not able to prove much longer than that. Luckily geology is able to show is that Earth is over 4.6 billions years old. As a result, the above is the only true statement.

5 0

3 years ago

a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what i

devlian [24]

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

8 0

3 years ago

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

3 years ago