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dangina [55]
3 years ago
7

A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the graph of

the equation?
(3, 2)

(-9, -6)

(-12, 8)

(-6, -3)
Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

The value of y / x = 4/6 or 2/3.

So checking the 4 choices the point (3, 2) gives this value and is one of the required points.

Also ( -9, -6) gives y/x = -6/-9 = 2/3 is another answer.

You might be interested in
A local little league has a total of 80 ​players, of whom 80​% are right​-handed. How many
Mariulka [41]

Answer:

64

Step-by-step explanation:

80 percent *80 =

(80:100)*80 =

(80*80):100 =

6400:100 = 64

Now we have: 80 percent of 80 = 64

hope this helps :)

5 0
3 years ago
. In a study of air-bag effectiveness it was found that in 821 crashes of midsize cars equipped with air bags, 46 of the crashes
jok3333 [9.3K]

Answer:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

0.00885... < 0.01

The test statistic of 46 is significant

There is sufficient evidence to reject H₀ and accept H₁

Air bags are more effective as protection than safety belts

Step-by-step explanation:

821 crashes

46 hospitalisations where car has air bags

7.8% or 0.078 probability of hospitalisations in cars with automatic safety belts

α = 0.01 or 1% ← level of significance

One-tailed test

We are testing whether hospitalisations in cars with air bags are less likely than in a car with automatic safety belts;

The likelihood of hospitalisation in a car with automatic safety belts, we are told, is 7.8% or 0.078;

So we are testing if hospitalisations in cars with air bags is less than 0.078;

So, firstly:

Let X be the continuous random variable, the number of hospitalisations from a car crash with equipped air bags

X~B(821, 0.078)

Null hypothesis (H₀): p = 0.078

Alternative hypothesis (H₁): p < 0.078

According to the information, we reject H₀ if:

P(X ≤ 46 | X~B(821, 0.078)) < 0.01

To find P(X ≤ 46) or equally P(X < 47), it could be quite long-winded to do manually for this particular scenario;

If you are interested, the manual process involves using the formula for every value of x up to and including 46, i.e. x = 0, x = 1, x = 2, etc. until x = 46, the formula is:

P(X = r) = nCr * p^{r}  * (1 - p)^{n - r}

You can find binomial distribution calculators online, where you input n (i.e. the number of trials or 821 in this case), probability (i.e. 0.078) and the test statistic (i.e. 46), it does it all for you, which gives:

P(X ≤ 46 | X~B(821, 0.078)) = 0.00885745584

Now, we need to consider if the condition for rejecting H₀ is met and recognise that:

0.00885... < 0.01

There is sufficient evidence to reject H₀ and accept H₁.

To explain what this means:

The test statistic of 46 is significant according to the 1% significance level, meaning the likelihood that only 46 hospitalisations are seen in car crashes with air bags in the car as compared to the expected number in car crashes with automatic safety belts is very unlikely, less than 1%, to be simply down to chance;

In other words, there is 99%+ probability that the lower number of hospitalisations in car crashes with air bags is due to some reason, such as air bags being more effective as a protective implement than the safety belts in car crashes.

5 0
3 years ago
What is 2+2 22222222222222222222222222222222222222222222222222
posledela

Answer:102

Step-by-step explanation:

8 0
3 years ago
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of
defon
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
           h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

 sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
 cos  θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
7 0
3 years ago
Victoria and her friends are going to the skateboard shop to pickup some equipment. They buy two new skateboards for $87.98 each
nika2105 [10]

Answer:

$304.63

Step-by-step explanation:

From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:

Total cost=($87.98*2)+($14.57*3)+($21.24*4)

Total cost=$175.96+$43.71+$84.96

Total cost= $304.63

According to this, the answer is that their total cost is $304.63.

3 0
2 years ago
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