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Karolina [17]
4 years ago
12

0.45/4.2 = p/14 how am i supposed to work this out

Mathematics
1 answer:
defon4 years ago
6 0
The answer is p = 1.5
0.45/4.2 = 0.107
1.5/14 = 0.107
p = 1.5

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What is the approximate percent decrease when a fish count goes down from 850 to 500?
Fudgin [204]
So, the count went down from 850 to 500, or 350 units.

if we take the 850 to be the 100%, what is 350 in percentage off of it?

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
850&100\\
350&x
\end{array} \implies \cfrac{850}{350}=\cfrac{100}{x}

solve for "x".
5 0
3 years ago
A 12 cm x 2 cm rectangle sits inside a circle with radius of 8 cm.
hammer [34]

Answer:

Diagram was not given.

Still I had drawn it, hope may it will helpful to you. So as per my diagram I had solved the sum.

The area of the shaded region is 176.96 ≈ 178 cm²

Step-by-step explanation:

Given:

radius of the circle        = r  = 8 cm

length of the rectangle = L = 12 cm

breadth of the rectangle = B = 2 cm

To Find:

Area of shaded region = ?

Solution:

\textrm{Area of rectangle} = Length\times Breadth\\= L\times B\\= 12\times 2\\= 24\ cm^{2}

\textrm{Area of Circle} = \pi \times (radius)^{2} \\=\pi \times r^{2}\\=3.14\times 8^{2}\\=200.96\ cm^{2}

Now, The Area of Shaded region will be

\textrm{Area of Shaded region}=\textrm{Area of Circle}-\textrm{Area of Rectangle}\\=200.96 - 24\\=176.96\ cm^{2} \\=178\ cm^{2}\........... \textrm{Rounded to tenth}

The area of the shaded region is 176.96 ≈ 178 cm²

5 0
4 years ago
Read 2 more answers
g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used 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.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

What is the probability that at least one of the births results in a defect?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
Help me with this question
Yuliya22 [10]

Answer:

all i know is that r=7

Step-by-step explanation:

14 is circumference

r= 1/2 of circumference

therefore r=7

6 0
4 years ago
If a rectangle has a perimeter of 56 inches and a width of 8 inches,what is the area
Alika [10]

Answer:

160 inches

Step-by-step explanation:

Area = L times W

In a rectangle, there are 4 sides

2 are width

2 are length

56 is total

8 + 8 = 16

56 - 16 = 40

40 is what is left for the 2 length sides

since there are 2 sides and they need to be equal, we divided 40 by 2

40 / 2 = 20

the length of one side is 20

area = 8 times 20

a = 160 inches

4 0
4 years ago
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