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Svet_ta [14]
3 years ago
6

True or False? If, |al = |b|, then either a = b or a = - b

Mathematics
1 answer:
never [62]3 years ago
3 0

Answer:

true

Step-by-step explanation:

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What property is used to show that 6(x + 7) = 6x + 42?
Ymorist [56]

Answer: Distributive because 6 has to be multiplied by x and 7

6 0
3 years ago
HELP ME Four students each wrote an equation. Which two students wrote equations that have no solution?
rjkz [21]

Answer:

Beto and Mark

Step-by-step explanation:

When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.

6 0
3 years ago
Read 2 more answers
An insurance company divides its policyholders into low-risk and high-risk classes. 60% were in the low-risk class and 40% in th
AleksAgata [21]

Answer:

a). 0.294

b) 0.11

Step-by-step explanation:

From the given information:

the probability of the low risk = 0.60

the probability of the high risk = 0.40

let C_o represent no claim

let C_1 represent 1 claim

let C_2 represent 2 claim :

For low risk;

so, C_o  = (0.80 * 0.60 = 0.48),  C_1 =  (0.15* 0.60=0.09),   C_2 = (0.05 *  0.60=0.03)

For high risk:

C_o  = (0.50 *  0.40 = 0.2),  C_1 =  (0.30 *  0.40 = 0.12) ,   C_2 = ( 0.20 *  0.40 = 0.08)

Therefore:

a),  the probability that a randomly selected policyholder is high-risk and filed no claims can be computed as:

P(H|C_o) = \dfrac{P(H \cap C_o)}{P(C_o)}

P(H|C_o) = \dfrac{(0.2)}{(0.48+0.2)}

P(H|C_o) = \dfrac{(0.2)}{(0.68)}

P(H|C_o) = 0.294

b) What is the probability that a randomly selected policyholder filed two claims?

the probability that a randomly selected policyholder be filled with two claims = 0.03 + 0.08

= 0.11

7 0
3 years ago
Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).
Mashcka [7]

Answer:

X = 0,  π/2 in the interval  [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a)  = Rsin x cos a + Rcos x sin a = 1

                        sin x         +    cos x             = 1

Comparing coefficients:

R cos a = 1 and R sin a =  1, so

tan a = R sin a / R cos a  = 1

So a = π/4 radians.

Also  R^2(sin^2 a + cos^2 a) =  1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

sin x + π/4 = 1/√2

x  + π/4 = π/4

x = 0 radians

Also

x = 0 +  π/2 = π/2.

8 0
3 years ago
The tire of his unicycle has a circumference of 2.8m , point,, and the tire revolves 1.51.51, point, 5 times per second. What is
I am Lyosha [343]

Answer:

Benjamin travels 7 meters in 100 seconds.    

Step-by-step explanation:

We are given the following in the question:

Circumference of tire = 2.8 m

Revolution of time = 1.5 times per minute.

Total time = 100 seconds.

We have to calculate distance covered by Benjamin.

Total number of revolution of tires =

=\text{Revolution rate}\times \text{Time}\\\\=1.5\text{ revolution per minute}\times \dfrac{100}{60}\text{ minutes}\\\\=2.5 \text{ revolutions}

Total distance covered by Benjamin =

=\text{Number of revolution of tires}\times \text{Circumference of tire}\\=2.5\times 2.8\\=7\text{ meters}

Thus, Benjamin travels 7 meters in 100 seconds.

8 0
3 years ago
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