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2 years ago

Can someone help me solve this question please?

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

7 0

To find the population after a year, you can multiply 4.5x10⁸ by 1.05, as it increases by 5% per year (1.05=1+5%). To find the population after five years, you have to multiply 4.5x10⁸ by 1.05 five times.

4.5x10⁸(1.05)⁵

=574326703.125

Since you can't have a decimal amount of people, you round this number to 574326703.

Therefore, the population after five years is going to be about 574326703.

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19. Suppose the diameter of a circle is 10 inches long and a chord is 6 inches long, Find the distance between the chord and the

mihalych1998 [28]

Answer:

10 m

Step-by-step explanation:

x2 + 242 = 262

x2 + 576 = 676

x2 = 100

x = 10

The chord is 10 m from the center of the circle.

3 0

3 years ago

6) the circular base of a hemisphere of radius 2 rests on the base of a square pyramid of height 6. the hemisphere is tangent to

Rasek [7]

The length of the square base is thus $2 x 3\sqrt{2}/2 = 3\sqrt{2}$ = A

<h3>What is hemisphere?</h3>

Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

EXPLANATION; Let ABCDE be the pyramid with ABCD as the square base. Let O and M be the center of square ABCD and the midpoint of side AB respectively. Lastly, let the hemisphere be tangent to the triangular face ABE at P.

Notice that triangle EOM has a right angle at O. Since the hemisphere is tangent to the triangular face ABE at P, angle EPO is also 90 degree. Hence, triangle EOM is similar to triangle EPO.

OM/2 = 6/EP

OM = 6/EP x 2

OM = $6\sqrt{6^2 - 2^2} x 2 = 3\sqrt{2}/2}$

The length of the square base is thus $2 x 3\sqrt{2}/2 = 3\sqrt{2}$ = A

To know more about Hemisphere, visit;

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6 0

1 year ago

Give an example of a benchmark fraction and an example of a mixed fraction.

34kurt

Answer:

Benchmark fractions: 4/12 5/12 6/12 7/12

Mixed Fractions: 1 1/2 2 3/4 5 1/4 8 2/8

Step-by-step explanation:

A mixed fraction is simply a fraction with a whole number.

A benchmark fraction is a fraction used to compare and order other fractions.

8 0

2 years ago

Read 2 more answers

A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled

rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

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8 0

1 year ago

WILL DO BRAINLIEST!!!! Suppose the store wants to earn a daily profit of $150 from the sale of soccer balls. To earn this profit

lara [203]

Think about it this way, what is 5x3??? 15 right. Ok then what is 5x30???? 150. So the store should sell each soccer ball for $5 each:)

6 0

3 years ago

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