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3 years ago

Simplify. Write each answer in scientific notation

Mathematics

1 answer:

Greeley [361]3 years ago

7 0

Answer:

5*10^1

Step-by-step explanation:

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If two trucks leave a given city on highways making an angle of 132 degrees with one another, traveling at 45 and 55 miles per h

Law Incorporation [45]

Answer:

183 miles to the nearest mile.

Step-by-step explanation:

Distance =Speed X Time

Distance of Truck B from point A=45 X2 =90 miles

Distance of Truck C from point A=55 X2 =110 miles

Angles between them, BAC=132°

We want to find the Distance BC denoted by a between the trucks.

Using Cosine Rule,

a²=b²+c²-2bcCos A

=90²+110²-(2X90X110XCos132°)

=33448.79

a=√33448.79

BC=182.89 miles

The distance between the trucks is 183 miles to the nearest mile.

3 0

3 years ago

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Find 94% of 90! Do not round your awnser. Show your work

Katen [24]

The answer would be 84.6

You multiply 94 and 90 and then add a decimal point since you can’t go over 90.

That’s how I do it mentally.

4 0

3 years ago

An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that

qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

$F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100$

#First find $F_x$ and probability distribution function , $f_x(x)$ :

$F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}$

#Have determined the probability distribution unction , $f_x(x)$ , we calculate the Expectation of the random variable X:

$E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200} dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\$

#We then calculate $E(X^2)$ :

$E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28$

Hence, the Var(X) is 764.28

4 0

3 years ago

Please help me!!!!!!!!!!!!! I'll give brainleist !!

arsen [322]

If your looking for the answer, this question is invalid. However, if the question is asking for the function equation, the answer is y=3x-2

7 0

3 years ago

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Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the remaining two num

Vedmedyk [2.9K]

Answer:

21, 22, and 23

Step-by-step explanation:

Three consecutive natural numbers can be represented as n, n+1, and n+2.

The square of the smallest number would be $n^2$ and its equal to the product of the other two (n+1)(n+2).

So the equation is $n^2 = (n+1)(n+2) -65\\n^2 = n^2 +n+2n+2-65\\n^2=n^2+3n-63\\0=3n-63\\63=3n\\ 21=n$ .

If n is 21 then the next numbers are 22 and 23.

5 0

3 years ago