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3 years ago

668,126,826 - 424,102,320

Mathematics

1 answer:

stiv31 [10]3 years ago

3 0

Answer:

244,024,506

Step-by-step explanation:

have a great day :)

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A research team is testing whether a fuel aditive increases a car's gas mileage. The maker of the additive claims that the addit

Thepotemich [5.8K]

Answer:

Yes there is sufficient evidence to reject the company's evidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 25

The mean is $\= x = 5.3 \ mpg$

The standard deviation is $\sigma = 1.8 \ mpg$

The z-score is z = -1.94

The null hypothesis is $H_o : \mu = 6 \ mpg$

The alternative hypothesis is $H_a : \mu \ne 6$

Generally the p-value is mathematically evaluated as

$p-value = 2 * P( Z$

From the z table the area under the normal curve to the left corresponding to -1.94 is

$P( Z$

=> $p-value = 2 * 0.02619$

=> $p-value = 0.052$

Let assume the level of significance is $\alpha = 0.05$

Hence the $p-value > \alpha$ this mean that

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to reject the company's evidence

5 0

3 years ago

Si sumamos cinco unidades al doble de un número el resultado es el mismo que si le sumaramos 7 unidades a dichos números.

vesna_86 [32]

Step-by-step explanation:

Primero tienes que encontrar el número que te encuentres con 5 y con el mismo número lo haces con 7.

3 0

3 years ago

Please answer ASAP!!!

Gwar [14]

Answer:

Wheres the question

Step-by-step explanation:

4 0

3 years ago

-5(4+2x)-14x simplify the expression

siniylev [52]

Answer:

− 20 − 24 x

Step-by-step explanation:

simplify

6 0

2 years ago

Read 2 more answers

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

Read 2 more answers