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3 years ago

Plzzz helpppppppppppppp

Mathematics

1 answer:

Serga [27]3 years ago

8 0

Answer

Center: (1,-12)

Radius: 5

Work

$x^{2}$ + $y^{2}$ -2x+24y+120=0 (Subtract 120 on both sides and rearrange)

$x^{2}$ -2x+ $y^{2}$ +24y=-120 (Then divide 2 by 2 and square it. Do the same for 24.)

$x^{2}$ -2x+1+ $y^{2}$ +24y+144=-120+1+144 (You have to add the same numbers on both sides)

$(x-1)^{2} +(y+12)^2=25$ (Simplify)

So you would put (1,-12); r=5

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A placebo is a substance that should elicit no positive response in an experimental subject.

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Answer:

A) True

Step-by-step explanation:

In an experiment that has the purpose of testing the efficacy of a procedure or drug, comparison is made against the efficacy of a placebo, a procedure or drug that is intended to have no effect whatever.

Famously, a placebo is often found to be nearly as effective (or even more effective) than the procedure or drug on trial. This effect is known as "the placebo effect."

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3 years ago

What is the product of (-1/4) times (-3/7)

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Answer:

3/28

Step-by-step explanation:

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4 years ago

What percentage of the population has a heart rate between 68 and 77

velikii [3]

Answer:

49.87% of the population has a heart rate between 68 and 77.

Step-by-step explanation:

We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.

Let X = the data for the resting heart of adults

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 68 beats per minute

$\sigma$ = standard deviation = 3 beats per minute

Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)

P(68 < X < 77) = P(X < 77) - P(X $\leq$ 68)

P(X < 77) = P( $\frac{X-\mu}{\sigma}$ < $\frac{77-68}{3}$ ) = P(Z < 3) = 0.9987

P(X $\leq$ 68) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{68-68}{3}$ ) = P(Z $\leq$ 0) = 0.50

The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.

Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%

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4 years ago

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Answer:

Step-by-step explanation:

The 7 is in the hundredths place.

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4 years ago

Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what mos

Oksana_A [137]

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability of selecting an orange marble is 0.33.

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads is 49%.

The theoretical probability of a fair coin landing on heads is 0.5.

<h3>How to calculate the probability?</h3>

It should be noted that a coin has a head and tail. Therefore, the probability of getting either will be:

= 1/2 = 0.5

Therefore, Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The statement that compares the theoretical and experimental probability of landing on orange is that the theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The experimental probability will be:

= 4/(6+3+7+4)

= 4/20 = 1/5

Based on the given frequency, the experimental probability of selecting an orange marble will be:

= 5/(4+6+5)

= 5/15

= 0.33

The experimental probability of landing on a number less than 2 is 12 over 60.

The experimental probability of landing on heads will be:

= 98/(98 + 102)

= 98/200

= 49%

The theoretical probability of a fair coin landing on heads will be:

= 1/2 = 0.5

Flip a coin 14 times and record the frequency of each outcome gives:

Head, Tail, Head, Head, Head, Tail, Tail, Head, Tail, Tail, Tail, Tail, Head, Head. The theoretical and experimental probability are 0.5.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

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2 years ago