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2 years ago

Arithmetic sequence, help with #18 plz

Mathematics

1 answer:

GREYUIT [131]2 years ago

6 0

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

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Kaitlin will donate up to $460 to charity. The money will be divided between two charities: the City Youth Fund and the Educatio

Ganezh [65]

Answer:

The question states "up to $460" in charity, which means it can be less than or equal to 460, but not any higher. Then,

$460 to charity (max)

$160+ to Educational (160 being the minimum)

Education is 3x (or higher) than City.

If we denote x to City, and y to Educational, then,

x + y = 460 . And we know that y >= 3x

x + 3x = 4x = 460

x = 115. This means when she donates $115 to City, she will donate 3x (or $345) to Educational. These are the max values; she will not donate higher than $460.

A minimum requirement was placed on Educational earlier. When y = 160, x will be y/3, or $53.34. (This isn't very meaningful, but: This means she donated 213.34, which is still less than $460)

Therefore, x (which is City) can be the range of $53-ish dollars (depending on your region/graph) but no higher than $115.

y (which is Educational) will be as low as $160, but no higher than $345.

Hope this helps

5 0

3 years ago

While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the ag

zheka24 [161]

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13

7 0

3 years ago

|2x+1|+5=12 solve for x

SSSSS [86.1K]

Answer:✖️=3

✖️=4

Step-by-step explanation:

-(2✖️+1)=7 (2✖️+1)=7

-2✖️-1=7. 2✖️=6

-2✖️=8 ✖️=3

-✖️=4

✖️=4

8 0

3 years ago

The school choir has 84 members the ratio of girls to boys in the choir is 3:4 how many members are girls

Nostrana [21]

the answer is 36 because 84/7 = 12 12 x3 = 36

6 0

4 years ago

Find g(x), where g(x) is the translation 9 units up of f(x) = |x|.

geniusboy [140]

g(x) is the translation 9 units up of f(x) = |x|

$g(x)=1|x-0|+9$

Given :

The function f(x)=|x|

we need to translate f(x) , 9 units up to get g(x)

g(x) is the translation 9 units up of f(x)

when graph of f(x) is translated 9 units up , then we add 9 at the end

If f(x)=|x| is translated 'a' units up then its becomes |x|+a

g(x) is the translation 9 units up of f(x) = |x|

So , $g(x)=|x|+9$

Write the answer in the given form a|x-h|+k

$g(x)=1|x-0|+9$

Learn more : brainly.com/question/21960107

8 0

2 years ago