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BabaBlast [244]
2 years ago
8

Mr.Epstein placed two-stools in front of the classroom. One had three-legs and the other had four legs. He asked Charlene to sit

on each of them. She noticed that the four-legged stol rocked when she sat on it, but the three-legged stool was steady and did not rock. Make a conjecture about why this might have occurred.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0

Answer:

The three legged stool was a round stool with the legs placed evenly around it. But the legs on the four legged stool were uneven.

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The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b
solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value ⇒ (at x = 0)
  • b is the growth/decay factor ⇒ (rate of change)
  • If b > 1, then the function is growth ⇒ (increasing)
  • If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function f(x)=799(1.03)^{x}

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ f(x)=799(1.03)^{x}

∵ The form of the function is f(x)=a(b)^{x}

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ f(5)=799(1.03)^{5}

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

6 0
2 years ago
A report from a Gallup poll 1 in 2011 started by saying, "Forty-five percent of American adults reported getting their health in
snow_tiger [21]

Answer:

The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

Step-by-step explanation:

The confidence interval is the interval estimate of the population parameter.

The confidence interval has a certain probability that the true value of the parameter is contained in the interval.

The general form of the confidence interval is:

CI=SS\pm MOE

Here,

SS = sample statistic.

MOE = margin of error

The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.

In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.

The information provided is:

<em>SS = p = </em>0.45.

<em>MOE</em> = 0.02.

Compute the confidence interval for the population proportion <em>p</em> as follows:

CI=p\pm MOE\\=0.45\pm 0.02\\=(0.43, 0.47)

Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

3 0
2 years ago
Whitney rolls a ball down a ramp that is 18 feet long if the ball rolls down 2 feet each second what integer represents the amou
Afina-wow [57]

Integer generally means number.

if s = seconds then

2s = 18

solve for s,

18/2 = 7

s = 7 seconds

8 0
2 years ago
Read 2 more answers
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
kicyunya [14]
Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides. 
6 0
2 years ago
Read 2 more answers
A six-sided fair die is rolled and a fair coin is tossed. If event M represents getting an odd number on the die and event N rep
poizon [28]
<span>Answer:

The two events are independent. In the given scenario, P(M and N) =0.25

Explanation:

1) Independent events are those that do not affect each other. In this case the number that you roll does not change the flip of the coin. So, whatever number you get with the die, the probabilities of landing tail or head when tossing the coin are the same.

2) The probability of the two simultaneous events: getting an odd number and landing a tail, since they are independent, is equal to the product of the two independent events:
P(M and N) = P(M) x P (N) (only because they are independent)

3) The probability of getting and odd number is 0.5 (half of the numbers are odd and half are even => probability = 1/2)

4) The probability of the coin lands tail is 0.5 (1/2).

5) Then the joint probability is 0.5 x 0.5 = 0.25</span>
3 0
2 years ago
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