All categories

2 years ago

What percent of 18 is 4.5?

1 answer:

8 0

$\text{What percent of 18 is 4.5?}\\\\\text{Calculate what fraction of the number 18 is 4.5}\\\\\dfrac{4.5}{18}=\dfrac{45}{180}=\dfrac{1}{4}\\\\\text{Convert it to percent}\\\\\dfrac{1}{4}\cdot100\%=25\%\\\\Answer:\ \boxed{4.5\ is\ 25\%\ of\ 18}$

You might be interested in

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

Anettt [7]

Answer:

1) The size of the colony after 4 days is 6553 mosquitoes

2) After $t = 4.9\ days$

Step-by-step explanation:

To answer this question you must use the growth formula

$N = N_0e ^ {kt}$

Where

$N_0$ is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and $N_0=1000$ then N = 1600

Then we use these values to find k.

$1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47$

Now that we know k we can find the size of the colony after 4 days.

$N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes$

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

$10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days$

6 0

2 years ago

A traffic consultant wants to estimate the true proportion of cars on a certain street that have more than two occupants. She st

neonofarm [45]

Answer:

The data is a simple random sample from the population of interest.

Step-by-step explanation:

Conditions necessary to consider when constructing a confidence interval include using a large sample size, which should be greater Than or equal to 30 for n and a sample proportion of np ≤ 10. Importantly the sample must be a random sample drawn from the population, meaning that all the population of interest must have equal chances of being a part of the sample data. However, the scenariomabiveb, violates this condition as the sampling design is not completely randomized. Those who do not ply the route on that certain day have no Chaves of being part of the sample.

7 0

2 years ago

Vikentia [17]

Answer:

water is Arthur's favorite drink

Step-by-step explanation:

The three drinks are lemonade, milk, and water.

If Paige's drink is a dairy product, milk would be the only answer there.

If Frank's drink comes from a fruit, lemonade would be the answer. Lemonade is made from lemons and sugar.

Water is the only choice left and Arthur is the only person who doesn't have a drink.

So, Arthur's favorite drink would be water.

5 0

2 years ago

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=60°, and HF = 60 feet. Find the length of GH to the nearest foot.

AlladinOne [14]

Answer:

104

Step-by-step explanation:

tan(60) = opposite/adjacent

tan(60) = X/60

X = 60×tan(60)

X = 103.9230484541

X = 104 (3 sf)

6 0

2 years ago

Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s

Viktor [21]

Answer:

1. Translate circle A using the rule (x − 3, y + 4).

4. Dilate circle A by a scale factor of 5

Step-by-step explanation:

we know that

All circles are similar figures

step 1

Translate the center of circle A to the center of circle B

we have

A(2,8) -----> B(5,4)

The rule of the translation is

(x,y) ----> (x+a,y+b)

(2,8) ----> (2+a,8+b)

2+a=5 ----> a=5-2=3

8+b=4 ---> b=4-8=-4

therefore

The rule of the translation is

(x,y) ----> (x+3,y-4)

step 2

Divide the radius of circle B to the radius of circle A to find out the scale factor

10/2=5

Multiply the radius of circle A by the scale factor to obtain the radius of circle B

therefore

Dilate circle A by a scale factor of 5

3 0

3 years ago