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Digiron [165]
3 years ago
10

Paul has 16 baseballs and 12 golf balls what is the ratio of balls to golf balls

Mathematics
1 answer:
Veronika [31]3 years ago
5 0
Ratio is just a fraction in other form. To create ratio we can just make fraction and transform it into ratio, so
\frac{baseballs}{golf bals} = \frac{16}{12} =16:12
Now we can simplify the ratio/fraction
\frac{16}{12} = \frac{4}{3} = 4:3 - its the result
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To find the volume it is Length x Width x Height
so 7 x 5 x 4 = 140cm
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2 years ago
4 × (h ×5) = (4 × h) ×5
Sholpan [36]

Answer:c.

Commutative Property of Multiplication

Step-by-step explanation:

5 0
3 years ago
If f(x)=5x^2-3 and g(x)=x^2-4x-8, find (f-g)(x)
PSYCHO15rus [73]

Answer:

4x^2 + 4x + 3.

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 5x^2 - 3 - (x^2 - 4x - 6)

= 5x^2 - 3 - x^2 + 4x + 6

= 4x^2 + 4x + 3.  

7 0
3 years ago
Color-blindness is any abnormality of the color vision system that causes a person to see colors differently than most people or
Veronika [31]

Answer:

Correct option is (d): Neither X nor Y can be well-approximated by a normal random variable.

Step-by-step explanation:

The sample size of males having color-blindness is, n (X) = 20.

The sample size of females having color-blindness is, n (Y) = 40.

The proportion of males that suffer from color-blindness is, P (X) = 0.08.

The proportion of females that suffer from color-blindness is, P (Y) = 0.01.

Now both the random variables <em>X</em> and <em>Y</em> follows a Binomial distribution,

X\sim Bin(20, 0.08)\\Y\sim Bin(40, 0.01)

A normal distribution is used to approximate the binomial distribution if the sample is large, i.e <em>n</em> ≥ 30 and the probability of success is very close to 0.50.

Also if <em>np</em> ≥ 10 and <em>n</em> (1 - <em>p</em>) ≥ 10, the binomial distribution can be approximated by the normal distribution.

<u>For the sample of men (X):</u>

np=20\times0.08=1.610

In this case neither <em>n</em> > 30 nor <em>p</em> is close to 0.50.

And <em>np</em> < 10.

Thus, the random variable <em>X</em> cannot be approximated by the normal distribution.

<u>For the sample of men (Y):</u>

np=40\times0.01=0.410

In this case <em>n</em> > 30 but <em>p</em> is not close to 0.50.

And <em>np</em> < 10.

Thus, the random variable <em>Y</em> cannot be approximated by the normal distribution.

Thus, both the random variables cannot be approximated by the normal distribution.

The correct option is (d).

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Wilson made punch from a recipe that called for 1 and 1/2 cups of orange juice and 3/4 Cup lemonade. Wilson used 2 and 1/4 cups
ryzh [129]
If you don't understand I am really sorry

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