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Zielflug [23.3K]

3 years ago

10

In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in a

n arithmetic progressions what is the ratio z:y

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

9/5

Step-by-step explanation:

The common difference = 6 - 2 = 4

The age after 6 is 6 + 4 = 10 = y

The age after 14 is 14 + 4 = 18 = z

z/ y = 18/10 = 9/5

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Blain is two years older than three times Jillians age. Jillian is also 16 years younger than Blain. How old is Blain?

Ipatiy [6.2K]

The age of Blain is 23 years old

<h3><u>Solution:</u></h3>

Let the age of Blain be "a" and age of Jillian be "b"

Given that Blain is two years older than three times Jillians age

So we can frame a equation as:

age of blain = 2 + 3(age of Jillian)

a = 2 + 3b ----- eqn 1

Also given that Jillian is also 16 years younger than Blain

Age of Jillain = Age of Blain - 16

b = a - 16 ---- eqn 2

Substitute eqn 2 in eqn 1

a = 2 + 3(a - 16)

a = 2 + 3a - 48

a - 3a = -46

-2a = -46

a = 23

Thus the age of Blain is 23 years old

4 0

3 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

3 years ago

consider the numbers 4205 176 and 408 what is the difference in the values of the digit 4 in each number

Elodia [21]

The 4 in the first one is in the thousands place, the second one doesn't have a 4 and the 4 in the third one is in the hundreds place. Hope this helped.

7 0

3 years ago

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that giv

sveta [45]

<span>(1−x)20+(1−y)12+15

(1−z)(20+15+12)</span>

8 0

3 years ago

Read 2 more answers

Explain-Carmen is making homemade root beer for an upcoming charity fundraiser.

NeTakaya

Answer:

1.5lb/ounces

Step-by-step explanation:

Given:

Mass of dry ice Carmen uses = 12lb

Mass of root beet = 8ounces

Unknown:

Ratio/Proportional constant for number of pounds to number of ounces of root beer extract = ?

Solution:

To solve this problem,

Ratio = $\frac{number of pounds of dry ice}{Ounce of root beer}$

Ratio = $\frac{12lb}{8ounces}$ = 1.5lb/ounces

6 0

3 years ago