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lisov135 [29]
3 years ago
10

Suppose that the functions p and q are defined as follows. HELP PLEASE

Mathematics
1 answer:
nadezda [96]3 years ago
3 0

Answer:

25, 9

Step-by-step explanation:

(p . q)(8) means do q first to 8 then do p to that, which is the same as writing p(q(8)). Then just plug the numbers in.

q(8)=√8+8=√16=4

p(4)=4^2+9=16+9=25

The second one is the opposite order but same reasoning.

p(8)=8^2+9=64+9=73

q(73)=√73+8=√81=9

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Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
JulsSmile [24]

To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

m + b = 24

b = 2m - 3

To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

m + b = 24

m + 2m - 3 = 24

To simplify, we must first combine the variable terms on the left side of the equation using addition.

3m - 3 = 24

Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.

3m = 27

Finally, we should divide both sides by 3 in order to get the variable m alone.

m = 9

Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).

Hope this helps!

8 0
3 years ago
Read 2 more answers
According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

6 0
3 years ago
The number of bees that visit a plant is 600 times the number of years the plant is alive, where t represents the number of year
zavuch27 [327]
C for sure, lock it down
7 0
3 years ago
Parker has $2,500 in her bank account that earns 3.8% interest annually. How much money will she have in her bank account after
svlad2 [7]

Answer:

$2,860

Step-by-step explanation:

2,500 * 3.8% = 90 in interest a year

so

90 * 4 = 360 in interest

add that to what she put in

2,860

3 0
3 years ago
Read 2 more answers
The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company
nignag [31]

Answer: 110 Women !

Step-by-step explanation:

Call their numbers 4x to 5x.

Since there are a total of 198 people,

4x + 5x = 198

9x = 198

x = 22

so that there are

88 men and 110 women.

5 0
3 years ago
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