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3 years ago

If a circle has a radius of 5 meters, what is the diameter?

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

Answer:

10m

Step-by-step explanation:

Radius is half the diameter.

So, 5x2 = 10

Answer: 10m

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Ming has a standard 52-card deck. A standard 52-card deck has 4 suits (♠, ♣,♦, and ♥) and an equal number of cards of each suit.

soldier1979 [14.2K]

Answer:

Option D.

Step-by-step explanation:

Total number of cards = 52

Total number of cards of each suit (♠, ♣,♦, and ♥) = 13

The probability of getting a card of heart is

$\text{Probability of getting a card of heart}=\frac{\text{Number of heart cards}}{\text{Total number of cards}}$

$\text{Probability of getting a card of heart}=\frac{13}{52}$

$\text{Probability of getting a card of heart}=\frac{1}{4}$

The probability of getting a card other then heart is

$1-\frac{1}{4}=\frac{3}{4}$

If Ming randomly draw a card from the deck 300 times, putting the card back in the deck after each draw, then the number of cards she will draw something other than a heart is

$300\times \frac{3}{4}=225$

Close to 225 times but probably not exactly 225 times.

Therefore, the correct option is D.

3 0

3 years ago

Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of a minority

Andre45 [30]

Answer:

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

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 interval $1-\alpha$ , 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:

A random sample of 4000 citizens yielded 2250 who are in favor of gun control legislation. This means that $n = 4000$ and $\pi = \frac{2250}{4000} = 0.5625$

Estimate the true proportion of all Americans who are in favor of gun control legislation using a 95% confidence interval

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 - 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5471$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5625 + 1.96\sqrt{\frac{0.5625*0.4375}{4000}} = 0.5779$

The 95% confidence interval of the true proportion of all Americans who are in favor of gun control legislation is (0.5471, 0.5779).

8 0

3 years ago

5) Consider the sequence of steps to solve the equation: 2(x − 4) + 5x = 9x − 10 Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

vlada-n [284]

<span>The answer to this question is Step 7.
Step 7 ⇒ −8 + 10 = x − 10 + 10
This is where 10 is being added to both sides. It is not Step 4 as that uses the Subtraction Property of Equality (which can be proved true by taking the addition of a negative number).
</span>

5 0

3 years ago

Read 2 more answers

Please help due soon!!

Anvisha [2.4K]

Answer:

200.96 ft^2

Step-by-step explanation:

The area of a circle is pi * r^2

This means that the area of that circle is pi * 8^2

8^2 * pi = 64 * 3.14 = 200.96

7 0