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Nuetrik [128]
3 years ago
11

What percentage

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

40%

Step-by-step explanation:

(20 hours Jogging)/(50 hours Total) = 0.4

0.4 * 100 = 40

valentina_108 [34]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

So I mostly will focus on the jogging total hours because thats literally what it says lol. Anyways, here I used the percent equation, which is

___ is ___% of ___. Since the question is "what percent", we mark our blank percent part as x, and when I fill the equation in it will seem like this:

"20 is x% of 50 (total hours)". So, now I translate, and this means:

20=x50, or in other words, 20=50x. To get x alone we divide by 50, but we also do it for the 20. 20/50 is .4, but because it has to be a percent, we move the decimal 2 places to the right, which gives 40, and finally it becomes

40%.

Hope it helps

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The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below:Motion of a
harkovskaia [24]

From the graph we can conclude:

The cars travels for 2 hours, then stops for 1 hour and finally travels again for 2 hours.

-------------------------------------

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5 0
1 year ago
The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its
Anastaziya [24]

Answer:

a) P(X \leq 3) = 0.99328

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when  n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X \approx Binomial (n = 5, p = 0.2)

Probability of  x  number of 4's is:

P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}

here; (\left \ n \atop x \right) is the combinatorial expression

(\left \ n \atop x \right) = \frac{n!}{x!(n-x)!}

P(X \leq3), n =5 , p = 0.2

P(X \leq3) = 1-P(X > 3)

So; let's first find:

P(X > 3)

= P(3

P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1  \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064

P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0  \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032

P (X=4)+P(X  = 5 ) \\ \\  = 0.0064 + 0.00032 = 0.006720  \\ \\ \approx 0.007

P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672  \\ \\ = 0.99328

P(X \leq 3) = 0.99328

b)

Given that:

The ratio of boys to girls at birth in  Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = \frac{1.09}{1+1.09} = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0
3 years ago
Find the value of the polynomial 3x<br> 3 – 4x<br> 2+ 7x + 5, when x = 3 and also when<br> x = –3.
babymother [125]

Answer:

71

-133

Step-by-step explanation:

Given the polynomial :

3x³– 4x² + 7x + 5, when x = 3 and also when

x = –3.

Put x = 3

3(3)³– 4(3)² + 7(3) + 5

3(27) - 4(9) + 21 + 5

81 - 36 + 21 + 5

= 71

Put x = - 3

3(-3)³– 4(-3)² + 7(-3) + 5

3(-27) - 4(9) - 21 + 5

-81 - 36 - 21 + 5

= - 133

4 0
3 years ago
Evaluate the equation: a + 1.23 = 3.6
Kobotan [32]
B. a = 2.37

Hope it helps!
4 0
3 years ago
What is the approximate length of RP? Round to the nearest tenth.
sergiy2304 [10]
Use Pythagorean Theorem:
c = sr (a^2 + b^2) = sr (3^2 + 5.3^2)
= sr (9 + 28.09) = sr (37.09)
= 6.09 = 6.1
7 0
4 years ago
Read 2 more answers
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