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3 years ago

Which expression is equivalent to -3.5(4x – 3)

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

Answer: -14x + 10.5

Hopeful this is right. And if it’s right I just use this app called the Cymath.

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An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equ

aleksley [76]

1424=356t
1424/356=t
4 hours=time

6 0

3 years ago

Use the grouping method to factor x^3+x^2+3x+3

maks197457 [2]

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

7 0

2 years ago

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

8 0

2 years ago

ΔEFG ~ ΔLMN. Find the similarity ratio of ΔEFG to ΔLMN.

Basile [38]

Answer:

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{FG}{MN}$ = $\frac{4}{2}$ = $\frac{2}{1}$

Thus the ratio of Δ EFG to Δ LMN = 2 : 1 → C

6 0

3 years ago

Lindsey earn 70$ for working 5 hours. How much does she earn for working 12 lawns ?

Mice21 [21]

Assuming Lindsey takes 5 hours to mow a lawn, she earns from twelve lawns
12*70=$840.

If the above assumption is not correct, @funnyork2005 needs to clarify the question.

6 0

3 years ago