Which comparison below is a true statement

a garden is 15 m × 10 m . It has a 2.6. m wide flower bed all around outside it. There is also a 2.5 m wide grassy path all arou

erastova [34]

Answer:

flower bed = 157.04 $m^{2}$

grassy path = 202 $m^{2}$

Step-by-step explanation:

If you draw this out, it's basically a rectangle inside a rectangle inside a rectangle. I'm going to call those rectangles A, B, and C. with A being the smallest and C being the biggest.

first we need to find the area of A, B, and C.

A will be easy because we're already given that its 15x10

Area A = 150 $m^{2}$

To find area B, we need to add the 2.6 pathway to all the sides, so it'll be:

length: 15+2.6(2) = 20.2 m

width: 10+2.6(2) = 15.2 m

Area B = 307.04 $m^{2}$

Then we do the same for area C but with 2.5 m.

length: 20.2+2.5(2) = 25.2 m

width: 15.2+2.5(2) = 20.2 m

Area C = 509.04 $m^{2}$

To find the area of just the flower bed, we need to subtract area A from area B, then to find grassy path we need to subtract area B from area C.

flower bed: 307.04-150 = 157.04 $m^{2}$

grassy path: 509.04-307.04 = 202 $m^{2}$

6 0

3 years ago

What is the range of the function f(x) = 2x + 1 given the Domain D = {-1, 0, 1, 2}? R = {-1, 1, 3, 5} R = {0, 1, 3, 6} R = {-5,

kompoz [17]

The answer is {-1, 1, 3, 5}

4 0

4 years ago

3.In 1995, the Educational Testing Service in Princeton, New Jersey (which administers SAT exam) re-centered the scores so that

Travka [436]

Answer:

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they score between 900 and 1,100, or they score outside this range. The probability of a student scoring between 900 and 1,100 is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

About 40 percent of these students’ scores were between 900 and 1,100.

This means that $p = 0.4$ .

a)Based on this estimate, what is the probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100?

This is $P(X < 4)$ when $n = 10$ . So

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0060$

$P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403$

$P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209$

$P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0060 + 0.0403 + 0.1209 + 0.2150 = 0.3822$

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

8 0

4 years ago

Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is

nordsb [41]

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

6 0

2 years ago

Read 2 more answers

Which of the following is 3x²/12x simplified?

horrorfan [7]

The third option is the answer

3 0

3 years ago

Read 2 more answers