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3 years ago

Calculate the area of this figure to the nearest hundredth. Use 3.14 to approximate pi

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

49.12 ft^2

Step-by-step explanation:

We can add the areas of the two figures

We have a triangle

A = 1/2 bh

A = 1/2 (6)(8)

A = 24

We have 1/2 of a circle so find 1/2 of the area

A = 1/2 ( area of a circle)

= 1/2 ( pi r^2)

The diameter is 8 so the radius is 4

= 1/2 ( 3.14 * 4^2)

= 25.12

Add the areas together

24+25.12 = 49.12

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According to a recent survey, 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s deg

Inga [223]

Answer:

The probability of getting B=40 is $0.11\times 10^{-11}$ which is negligible.

Step-by-step explanation:

Given that 31 percent of the residents of a certain state who are age 25 years or older have a bachelor’s degree.

Assuming the population of the state aged 25 years or more is Bernoulli's population.

So, when 1 person aged 25 years or more from the state selected randomly, the probability of that person, p, having a bachelor’s degree,

$p= 31/100=0.31\cdots(i)$

Now, according to Bernoulli's formula, the probability of exactly r success from the total number of sample n is

$P(r)=\binom{n} {r}p^r(1-p)^{n-r}\cdots(ii)$

where p is the probability of success.

Here, a random sample of 50 residents of the state, age 25 years or older, will be selected.

So, n=50.

Given that variable B represents the number in the sample who have a bachelor’s degree,

We have to find the probability that B will equal 40.

So, r=B= 40.

Now, putting these values in equation(ii) and using p=0.25 from equation (i), we have

$P(r=40)=\binom{50} {40}(0.31)^{40}(1-0.31)^{50-40}$

$=\frac {50!}{40! (50-40)!}(0.31)^{40}(0.69)^{10} \\\\=\frac {50!}{40! \times 10!}(0.31)^{40}(0.69)^{10} \\\\=0.11\times 10^{-11}$

So, the probability of getting B=40 is $0.11\times 10^{-11}$ which is negligible.

4 0

3 years ago

Read 2 more answers

He range and the first and third quartiles for the data set. 3, 32, 94, 84, 14, 44

EleoNora [17]

Answer:D

Step-by-step explanation:

I think the Range is 80, the First quartile is 32, and the Third quartile is 90

6 0

2 years ago

How many ML of a 35% acid mixture and a 95% acid mixture should be mixed to get 120 ML of a 40% acid mixture?

Anon25 [30]

ANSWER:

110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120ML of 40% solution.

SOLUTION:

First, set up table. fill in the unknowns with variables x and y. The table is attached below.

From the table shown below, we can easily set up the two equations.

Sum of values of two acids = Value of mixture

0.35x + 0.95y = 48

For convenience, we will multiply the entire equation by 100,

35 x + 95y = 4800 ------ (1)

Now, Sum of amounts of each acid = Amount of mixture

x + y = 120 --------- (2)

Multiply eqn 2 with 35 for easy calculation and derive the equation into one variable.

35 = 35x + 35y = 4200

Subtracting equation (2) from (1), we get

0 + 60y = 600

Thus, 60y = 600

$y = \frac{600}{60} = 10$

Substituting y = 10 in (2),

35x + 35(10) = 4200

35x + 350 = 4200

35x = 4200 - 350

35x = 3850

$x = \frac{3850}{35} = 110$

So, we have x = 110 and y = 10

We can conclude that 110ML of 35% acid solution must be mixed with 10ML of 95% solution to obtain 120 ML of 40% solution.

3 0

2 years ago

Martin charges $15 for every 5 bags of leaves he rakes. Last weekend, he raked 29 bags of leaves. How much money did he earn?

laila [671]

Answer:

87 or 75 dollars

Step-by-step explanation:

So first we have to 29 by 5 wich gives us 5.8 so he raked 5.8 packs of 5 bags then you multiply 15 by 5.8 so he made 87 dollars

Unless:

Your not counting the point 8 leaves in that case the answer would be 75

8 0

3 years ago

Multiply 18/5 * 15/14

Katena32 [7]

18/5= 3.6 and 15/14=1.07

3.6*1.07= 3.852

3 0

3 years ago