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4 years ago

Find the recursive formula of the arithmetic sequence 14,30,46,62

Mathematics

1 answer:

dexar [7]4 years ago

4 0

Answer:

$a_n=a_{n-1}+16$

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

$a_1=14$

The common distance is obtained by subtracting a subsequent term from a previous term;

d=30-14

The common difference is

d=16

The recursive formula is given by:

$a_n=a_{n-1}+d$

We now plug in the known value for the common difference to get;

$a_n=a_{n-1}+16$

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En una panadería se elaboraron 140 panes diarios, el 25% son conchas, 10% cortadillos, 40% donas y 25% bolillos. Cada pieza de p

torisob [31]

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

$C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)$

$C = 448\,USD$

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

$C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)$

$C = 280\,USD$

Se obtuvo $ 280 de ganancia por la venta de bolillos.

3 0

3 years ago

A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.

yarga [219]

Answer:

0.021

Step-by-step explanation:

yep

3 0

3 years ago

Read 2 more answers

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

5 0

3 years ago

What is the Square root of 768?

SVEN [57.7K]

The square root of 768 is 27.71

6 0

3 years ago

F(x)=3x2+1 What is the value of y when x is equal to 0? Hint: f(0)=3(0)2+1

shtirl [24]

7? Let me know if I’m wrong. Have a great day❤️

6 0

3 years ago