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kondor19780726 [428]

2 years ago

9

Jada list these fractions that are all equivalent to 1/2:2/4,3/6,4/8,5/10 she notices that each time the numerator increases by

1 and the denominator increases by 2. Will the pattern jada notices continue? Explain your reasoning.

1 answer:

r-ruslan [8.4K]2 years ago

8 0

yes the pattern Jada sees will continue.

Step-by-step explanation:

Im not sure how to explain it but I hope this helps!

You might be interested in

. There are 11 boys and 5 girls that tried out to

Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

5 0

2 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0

3 years ago

2/3 multiplied by what equals 3/4

Serga [27]

9/8 is your answer i believe

4 0

3 years ago

A(x) = x( 48 - x)<br> When is A(x) at its maximum?<br> Explain or show how you know.

krek1111 [17]

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

4 0

2 years ago

"A solar hot-water heating system consists of a hot-water tank and a solar panel. The tank is well insulated and has a time cons

puteri [66]

T(t)=e−kt(∫ekt[KM(t)+H(t)+U(t)]dt+C) M is the outside temperature, H is other things that affect temperature in the tank(0 in this case), and U is the solar panel. K comes from the time constant, and should be the inverse of the time constant I believe. T is temperature, t is time.

T(t)=e−164t(∫e164t[164(80)+4t]dt After integrating I keep getting −16304+256t+Ce−164t I calculate C to be 16414 setting t equal to 0 and using the initial conditions

6 0

3 years ago