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2 years ago

A , B , C , D ?????????

Mathematics

1 answer:

3241004551 [841]2 years ago

5 0

Answer:

Step-by-step explanation:

the question is asking for the difference between the two values, therfore, you should subtract the smaller value from the larger value

while A is technically the same equation, when finding a value, you want all the constants to be on 1 side of the equation while the variable is on the other side

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A bag contains four balls. one is blue, one is white and two are red. someone draws two balls at random from the bag. he looks a

Andrew [12]

There is a 1/3 chance or 33% chance that the other ball is also red.

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3 years ago

1. When a cannonball is fired, the equation of its pathway can be modeled by h = -1612 + 128t.

sashaice [31]

Answer:

The maximum height of the ball is 256m

Step-by-step explanation:

Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t

At maximum height, the velocity of the ball is zero.

velocity = dh/dt

velocity = -32t + 128

Since v = 0 at maximum height

0 = -32t+128

32t = 128

t = 128/32

t = 4seconds

The maximum height can be gotten by substituting t = 4 into the modelled equation.

h = -16t² + 128t

h = -16(4)²+128(4)

h = -16(16)+512

h = -256+512

h = 256m

4 0

3 years ago

THe halloween haunt estimated they would make $125,450 this year. They expect to make 23,700 more than last year by the time the

sveticcg [70]

Answer:

it is at least $300000 good luck

7 0

2 years ago

What is the factored form of n2 – 25? (n – 25)(n – 1) (n – 5)(n + 5) (n + 5)(n + 5) (n – 25)(n + 1)

dexar [7]

Hi there!
We are asked to find the correct factored form of n² - 25. Immediately, we can see that 25 has a perfect square root, 5. Now, we can rewrite the expression into n² - 5². Finally, using the difference of squares rule, we can derive the equation (n + 5)(n - 5). Therefore, the answer is (n + 5)(n - 5). Hope this helped!

5 0

3 years ago

Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below. Find the 93% conf

kobusy [5.1K]

Answer:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

We have the following data given:

$\bar X_1 = 9.2 , \bar X_2 = 8.8, \sigma_1= 0.3, n_1 = 27, \sigma_2 = 0.1, n_2 = 30$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 93% of confidence, our significance level would be given by $\alpha=1-0.93=0.07$ and $\alpha/2 =0.035$ . And the critical value would be given by:

$z_{\alpha/2}=-1.811, z_{1-\alpha/2}=1.811$

The confidence interval is given by:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_}{n_2}}$

And replacing we got:

$(9.2 -8.8) - 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.2903$

$(9.2 -8.8) + 1.811 \sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}= 0.5097$

And the confidence interval for the difference of means would be given by:

$0.2903 \leq \mu_1 -\mu_2 \leq 0.5097$

4 0

3 years ago