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3 years ago

Question 2 i have no idea with functions

Mathematics

1 answer:

sergey [27]3 years ago

3 0

Answer:

the range of all the function is [-1, + infinity[

but when it limits the domain it gonna be

(-1,0,3,8)

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A 1980 study was conducted whose purpose was to compare the indoor air quality in offices where smoking was permitted with that

kotegsom [21]

Answer:

The null hypothesis is not rejected.

There is no enough evidence to support the claim that the CO level is lower in non-smoking working areas compared to smoking work areas.

P-value = 0.07.

Step-by-step explanation:

We have to perform a test on the difference of means.

The claim that we want to test is that CO is less present in no-smoking work areas.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2 > 0$

being μ1: mean CO level in smoking work areas, and μ2: mean CO level in no-smoking work areas.

The significance level is assumed to be 0.05.

Smoking areas sample

Sample size n1=40.

Sample mean M1=11.6

Sample standard deviation s1=7.3

No-smoking areas sample

Sample size n2=40

Sample mean M2=6.9

Sample standard deviation s2=2.7

First, we calculate the difference between means:

$M_d=M_1-M_2=11.6-7.3=4.3$

Second, we calculate the standard error for the difference between means:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{7.3^2}{40}+\dfrac{2.7^2}{40}}=\sqrt{\dfrac{53.29+7.29}{40}}=\sqrt{\dfrac{60.58}{40}}\\\\\\s_{M_d}=\sqrt{1.5145}=1.23$

Now, we can calculate the t-statistic:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{4.3-0}{1.23}=3.5$

The degrees of freedom are calculated with the Welch–Satterthwaite equation:

$df=\dfrac{(\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2})^2}{\dfrac{s_1^4}{n_1(n_1-1)}+\dfrac{s_2^4}{n_2(n_2-1)}} \\\\\\\\df=\dfrac{(\dfrac{7.3^2}{40}+\dfrac{2.7^2}{40})^2}{\dfrac{7.3^4}{40(39)}+\dfrac{2.7^4}{40(39)}} =\dfrac{(\dfrac{53.29}{40}+\dfrac{7.29}{40})^2}{\dfrac{2839.82}{1560}+\dfrac{53.14}{1560}} \\\\\\\\df=\dfrac{1.5145^2}{1.8545}=\dfrac{2.2937}{1.8545}=1.237$

The P-value for this right tail test, with 1.237 degrees of freedom and t=3.5 is:

$P-value=P(t>3.5)=0.07$

The P-value is bigger than the significance level, so the effect is not significant. The null hypothesis is not rejected.

There is no enough evidence to support the claim that the CO level is lower in non-smoking working areas compared to smoking work areas.

8 0

4 years ago

What is 30 ÷ 14 written as a fraction?

Natasha2012 [34]

Answer: A fraction is Quite literally division so 30 divided by 14 is 30/14 as a fraction, you can also simplify that to 15/7

8 0

3 years ago

Durante una venta de liquidación, el Sr. Pablo, un profesor particular, compró un total de 12 libros de asesoría de Secundaria 4

Flauer [41]

Resolviendo un sistema de ecuaciones, vemos que se venden 6 libros de secundaria 4 y 6 libros de secundaria 1.

<h3>¿Como escribir un sistema de ecuaciones?</h3>

Primero definimos dos variables:

x = numero de libros de secundaria 4 vendidos.
k = número de libros de secundaria 1 vendidos.

Sabemos que se venden 12 libros en total, entonces:

x + k = 12

Tambien sabemos que se recauda un total de $82, entonces:

x*$8 + k*$6 = $82

Entonces tenemos dos ecuaciones.

a) Usando la primer ecuacion, podemos aislar x para tener:

x = 12 - k

b) Ahora podemos reemplazar eso en la otra ecuación para solucionar el sistema.

(12 - k)*$8 + k*$6 = $82

$96 - $2*x = $82

$2*x = $12

x = $12/$2 = 6

Es decir se venden 6 libros de secundaria 4, y como se venden 12 libros en total, los otros 6 libros vendidos son de secundaria 1.

Si quieres aprender más sobre sistemas de ecuaciones:

brainly.com/question/13729904

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4 0

2 years ago

What is the effect of the b value in an exponential function? y-a*b^x<br> please help me

Margaret [11]

Answer:

Here's li^{}

nk to the answer:

bit.^{}

ly/3a8Nt8n

4 0

3 years ago

Tim wanted to sell his watch at a discount of 10%. However, he then decides to increase the discount price by 5%. What is the ne

miv72 [106K]

Answer:

15% is the discount

Step-by-step explanation:

10 + 5

3 0

3 years ago