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3 years ago

Mr. Wells tells his class of 24 that when

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer:

About 10 people

Step-by-step explanation:

40% is 0.4. 24 × 0.4 = 9.6 which is approximately 10.

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Given f(x) = x3 - x2 + 4x - 1 and<br> g(x) = -2x, find lim g(f(x))<br> X-2

trapecia [35]

Answer:

I hope this helps!Let me know if it helps

6 0

3 years ago

Is (1, 2) a solution to this system of equations? 10x + 4y = 18 x + 9y = 19

Arlecino [84]

Answer:

Yes

Step-by-step explanation:

The intersection point of 10x+4y=18 and x+9y=19 is (1,2) on a graph.

3 0

3 years ago

Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$

b) $P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

c) $P(X=4) = 0.3$

d) $P(X=0) = 0.2$

e) $E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

f) $E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

Step-by-step explanation:

We have the following distribution

x 0 1 2 3 4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

$P(X=3) = 0.1$

Part b

We want this probability:

$P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

Part c

For this case we want this probability:

$P(X=4) = 0.3$

Part d

$P(X=0) = 0.2$

Part e

We can find the mean with this formula:

$E(X)= \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

Part f

We can find the second moment with this formula

$E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

4 0

3 years ago

The people of Bridgetown wanted to build a bridge across a nearby river. Since they were poor swimmers, their master Trigonomos

VikaD [51]

Answer:

60.2 m

Step-by-step explanation:

Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.

This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.

The ratio opposite/adjacent is the ratio for tangent; this gives us the equation

x/15 = tan(76)

Multiply both sides by 15:

15(x/15) = 15(tan(76))

x = 15(tan(76)) ≈ 60.2

5 0

3 years ago

Please help!! Explain how you got the answer!

mash [69]

multiply 3.5 x 3 = 10.5

add -5 +-10 = -15

so you have 10.5 x 10^15

then you need to move the decimal point 1 place to the left to get 1.05

since you move the decimal point 1 place to the left you add 1 to the -15 to get -14

so answer = 1.05 x 10^-14

8 0

3 years ago