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stepladder [879]
2 years ago
12

When Emilio drives his truck, the miles are varied directly with the

Mathematics
1 answer:
Inga [223]2 years ago
4 0

Answer:

40 months

Step-by-step explanation:

Since it takes him 2 months to drive 15,000 miles

He drives 7,500 miles/month (15,000 miles / 2months)

Dividing the total distance by his speed yields the time it takes to drive that distance

300,000 miles / 7,500 miles/month = 40 months

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Mathematical statements into logical statements with nested quantifiers. About Translate each of the following English statement
Setler79 [48]

Answer:

Answer is given below under explanation

Step-by-step explanation:

We are told that the domain is a set of real numbers. Let's depict by a & b.

We will use the following symbols;

∀ means for all

Ǝ there exists

∧ means logical conjuction

Thus;

A) Ǝ a,b : ( a/b < 1, b/a < 1 )

B) ∀ a : ( a > 0 = 1/a > 0 )

C) Ǝ a,b : (a + b = ab)

D) ∀ a,b : [ ( a > 0 ) ∧ ( b > 0 ) = (( a/b > 0 ) ∧ ( b/a > 0 ))]

E) ∀ b : [( b > 0 ) ∧ ( b < 1) = ( 1/b > 1 )]

F) n ( ( Ǝ x ∀ b ( a < b ) )

5 0
2 years ago
In the past, joe got paid $229,390 annually. Since switching to a new career he has been making 10% less. How much does Joe make
Serhud [2]

Answer:

The answer is $206,451

Step-by-step explanation

This scenario is asking to subtract 19 percent away from 229,390 .

Step one :  Divide 229,390 by 10 ( take away the zero behind the 9 )

Step 2 : Subtract 22,939 from 229,390 since we know ten percent of 229,390 is 22,939 = 206451

6 0
3 years ago
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Factor <br> h^2-4k^2+4h-8k
Vladimir79 [104]

<span> h^2-4k^2+4h-8k 

</span>Factor the expression.<span><span>(<span>h<span><span>−2</span>k</span></span>)</span><span>(<span><span>h+<span>2k</span></span>+4</span>)</span></span>

8 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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3 years ago
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