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3 years ago

A circle has a radius of 4 x^3 y^5 cm. The area of a circle can be found using A equals pi r^2

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Answer:

Step-by-step explanation:

There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference. The diameter is the distance from one side of the circle to the other at its widest points. The diameter will always pass through the center of the circle. The radius is half of this distance. You can also think of the radius as the distance between the center of the circle and its edge.

This diagram shows the circumference, diameter, center, and radius on a circle.

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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of <em>t</em> is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

Diane purchased a prepaid phone card for $15. Long distance calls cost 17 cents a minute using this card. Diane used her card on

tester [92]

Answer:

22 minutes

Step-by-step explanation:

15-11.26=3.74

3.74 divided by .17 eqauls 22

8 0

3 years ago

Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeo

TEA [102]

Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

The initial value and the growth rate are given by:

A(0) = 9520, r = 0.1.

Hence the function is given by:

$A(t) = 9520(1.1)^t$

Hence in 13 years, the amount of pigeons will be of:

$A(13) = 9520(1.1)^{13} = 32866$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0

2 years ago

Pedro fill the glass 2 4 full with orange juice write a fraction with a denominator of 6 that is greater than 2/4 what is the an

jeyben [28]

The fraction would be 3/6

7 0

3 years ago

Read 2 more answers

A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg

musickatia [10]

Answer:

181.92 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 45.48 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 45.48 = 181.92 seconds

Hence. the team finished the race in 72.4 seconds.

6 0

3 years ago