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3 years ago

Algebra help ASAP :))))

Mathematics

1 answer:

never [62]3 years ago

3 0

G(x) = (1/2x)²

Place points at:
(-2, 2)
(-1, 0.5)
(0, 0)
(1, 0.5)
(2, 2)

The parabola should look something like this.

You might be interested in

Based on a random sample of 25 units of product X, the average weight is 102 lbs., and the sample standard deviation is 10 lbs.

Alex

Answer:

Step-by-step explanation:

Given that for a sample size of 25, sample mean = 102 lbs. and sample std deviation = 10 lbs.

$H_0: \bar x = 100\\H_a: \bar x >100$

(Right tailed test)

Given that we assume population is normally distributed

Test statistic:

Mean difference = +2

Std error of sample = $\frac{10}{\sqrt{25} } =2$

t = test statistic = Mean diff/Std error $= 1$

degree of freedom $= n-1 =24$

Critical value of t = 1.711

Our test statistic >1.71

Accept alternate hypothesis

Because there is significant difference between the test statistic and test statistic lies above critical value.

3 0

2 years ago

There are two parking garages in beacon falls . Garage a charges $7.00 to park for the first 2 hours ,and each additional hour c

Julli [10]

Answer

Find out the number of hours when the cost of parking at both garages will be the same.

To prove

As given

There are two parking garages in beacon falls .

As given

Let us assume that the y is representing the cost of parking at both garages will be the same.

The total number of hours is represented by the x.

First case

Garage a charges $7.00 to park for the first 2 hours ,and each additional hour costs $3.00 .

As garage charges $7.00 for the first 2 hours so the remaning hours are (x -2)

Than the equation becomes

y = 3.00 (x -2) + 7.00

written in the simple form

y = 3x - 6 +7

y = 3x + 1

Second case

Garage b charges $3.25 per hour to park.

than the equation becomes

y = 3.25x

Compare both the equations

3x +1 = 3.25x

3.25x -3x = 1

.25x = 1

$x = \frac{1}{.25}$

x = 4hours

Therefore in the 4 hours the cost of parking at both garages will be the same.

3 0

2 years ago

A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

a) Neither will need repair:

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

b) Both will need repair:

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

c) At least one car will need repair

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

3 years ago

Paki answeran naman po

Bogdan [553]

Answer:

For the 1st one the answer is 2/3 x 1/2 = 0.333 repeating and the 2nd one is 3/5 x 1/3 = 0.2

Step-by-step explanation:

The amount of boxes in total is the denominator and the amount of boxes shaded is the numerator, so if you put those to together it creates a fraction. So multiply the first fraction and the second fraction and you get your answer.

8 0

2 years ago

Pls someone help me find the answers

Alecsey [184]

Answer:

x = 145°

Step-by-step explanation:

We know that y = 98°, so we can find ∠DBC:

180°-y = ∠DBC

180°-98° = 82°

We also know that z = 63°, therefore we can apply exterior angle of triangles to find x.

∠DBC + z = x

82°+63° = x

x = 145°

7 0

2 years ago