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3 years ago

Online Topic lest

1 answer:

3 0

B. 18 feet,
Length to Width
5 : 3
30 : x
we have to find the number we multiply by 5 to get 30.
30/5 = 6
so we have to multiply both of the numbers (3 and 5 the numbers of the ratio) by 6.
3 x 6 = 18 ft
5 x 6 = 30 ft
therefore the answer is 18 ft

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Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....

Alexandra [31]

Answer:

Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

Step-by-step explanation:

A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...

11 × -2 = -22

-22 × -2 = 44

An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...

11 +16.5 = 27.5

27.5 + 16.5 = 44

These descriptions match those offered by the students, so both could be correct.

5 0

3 years ago

Read 2 more answers

Find the area of a semicircle with a radius of 6 centimeters.

nlexa [21]

Answer:

Answer:

Measure of ∠y is 90°

Step-by-step explanation:

We see that,

∠x and ∠y are vertical angles and ∠x, 40°, 50° are in a straight line.

Since, we know, Sum of angles in straight line is 180°.

Then, ∠x + 40° + 50° = 180°

i.e. ∠x = 180° - 90°

i.e. ∠x = 90°

Also, we know, 'Vertical angles have equal measures'.

So, ∠y = ∠x = 90°

Hence, measure of ∠y is 90°

Read more on Brainly.com - brainly.com/question/9695253#readmore

Step-by-step explanation:

6 0

3 years ago

Solve. Explain your answers in the box below.

bazaltina [42]

Answer:

Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602

Step-by-step explanation:

i hoped it was right!

5 0

3 years ago

In 2018, Mike Krzyewski and John Calipari topped the list of highest paid college basketball coaches (Sports Illustrated website

expeople1 [14]

From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.

Sample:

Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3

Question a:

The mean is the sum of all values divided by the number of values. So

$\overline{x} = \frac{2.2 + 1.5 + 0.5 + 1.3 + 2.4 + 1.5 + 2.7 + 0.3 + 2.0 + 0.3}{10} = 1.42$

The sample mean salary is of 1.42 million.

Question b:

The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.

$s = \sqrt{\frac{(2.2-1.42)^2 + (1.5-1.42)^2 + (0.5-1.42)^2 + (1.3-1.42)^2 + (2.4-1.42)^2 + (1.5-1.42)^2 + (2.7-1.42)^2 + ...}{9}} = 0.8772$

Thus, the estimate for the population standard deviation is of 0.8772 million.

Question c:

The sample size is $n = 10$

The significance level is $\alpha = 1 - 0.05 = 0.95$

The estimate, which is the sample standard deviation, is of $s = 0.8772$ .

Now, we have to find the critical values for the Pearson distribution. They are:

$\chi^2_{\frac{\alpha}{2},n-1} = \chi^2_{0.025,9} = 19.0228$

$\chi^2_{1-\frac{\alpha}{2},n-1} = \chi^2_{0.975,9} = 2.7004$

The confidence interval for the population variance is:

$\frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2},n-1}} < \sigma^2 < \frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2},n-1}}$

$\frac{9*0.8772^2}{19.0228} < \sigma^2 < \frac{9*0.8772^2}{2.7004}$

$0.3641 < \sigma^2 < 2.5646$

Thus, the 95% confidence interval for the population variance is (0.3641, 2.5646)

Question d:

Standard deviation is the square root of variance, so:

$\sqrt{0.3641} = 0.6034$

$\sqrt{2.5646} = 1.6014$

The 95% confidence interval for the population standard deviation is (0.6034, 1.6014).

For more on confidence intervals for population mean/standard deviation, you can check brainly.com/question/13807706

4 0

3 years ago

A circle has a circumference of 56.52 cm. What is the diameter of the circle to the nearest centimeter? What is the radius to th

CaHeK987 [17]

2(3.14)r=(3.14)d=circumference of a circle
So...

(3.14)d=56.52
d=56.52/3.14
Diameter=18 cm

Radius=D/2
Radius=18/2
Radius=9 cm

Hope I didn't mess up for your sake.

7 0

3 years ago