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3 years ago

Rational numbers m and n are plotted on the number line.

Mathematics

1 answer:

sasho [114]3 years ago

4 0

Answer:

n - m is positive

Step-by-step explanation:

Given

m and n on number line

Required

Which is true

From the attachment, we have:

$n >m$

$n > 0$ and $m < 0$

$(a):\ n - m$

Since: the above inequalities are true, then:

$n - m > 0$

(a) is true

There is no need to test other options; since (a) is true

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En una fábrica, dos trabajadores llenan envases de gel

mojhsa [17]

Responder:

Contenedor 24

Explicación paso a paso:

Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;

Múltiplos de:

8: 8, 16, 24, 32, 40, 48, 56, ...

12:12, 24, 26, 48, 60, ....

Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.

Llenarán 24 contenedores

4 0

3 years ago

For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150the test statistic a. must be positive. b. must be negative. c. can

Virty [35]

Answer:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$s$ represent the standard deviation for the sample

$n$ sample size

$\mu_o =150$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:

Null hypothesis: $\mu \geq 150$

Alternative hypothesis: $\mu < 150$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

And since we are conducting a lower unilateral lest then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0

4 years ago

0.1 is a rational number because it can be written as

Gnesinka [82]

Answer:

because it can be written in the form of p/q

Where p and q are integers, and q is not equal to zero.