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ryzh [129]
3 years ago
9

Distance formula: Does the point (2, rt sqr. 6 ) lie on the circle shown? Explain.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

Thus, the fourth answer choice is the correct one

Step-by-step explanation:

Let's check this, using the Pythagorean Theorem:

"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."

Does 2² + (√6)² = 3²?

Does 4 + 6 = 9?  NO.   .

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Sheila buys some boxes of pens, with 20 pens in each box. Which expression represents the total number of pens Sheila bought? 20
Mazyrski [523]
The answer is 20p. P represents the number of boxes she buys and 20 is how many pens are in each box.
7 0
3 years ago
1/3 cup of flour is used to make 5 dinner rolls.
Sergio [31]
3 dozen = 36

1/3 ÷ x = 5 ÷ 36
1/3 × 36 = x × 5
12 = 5x
12/5 = x

12/5 cups of flour is needed
6 0
3 years ago
There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9 ounces, how many cans of co
Katyanochek1 [597]

Answer:

5 cans

Step-by-step explanation:

First multiply 15 by 3 to see how many ounces are needed in total: 15x3=45

Then divide 45 by 9 to see the amount of cans: 45/9=5

3 0
3 years ago
What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.24

For the alternative hypothesis,

p ≠ 0.24

This is a two tailed test

Considering the population proportion, probability of success, p = 0.24

q = probability of failure = 1 - p

q = 1 - 0.24 = 0.76

Considering the sample,

Sample proportion, P = r/n

Where

r = 12

n = 52

P = 12/52 = 0.23

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.23 - 0.24)/√(0.24 × 0.76)/52 = - 0.17

Recall, population proportion, P = 0.24

The difference between sample proportion and population proportion(p - P) is 0.24 - 0.23 = 0.01

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.24 - 0.01 = 0.23

the p for the right tail is 0.24 + 0.01 = 0.25

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.43

We would double this area to include the area in the right tail of z = 0.17 Thus

p = 0.43 × 2 = 0.86

The level of significance is 5%

Since alpha, 0.05 < than the p value, 0.86, then we would fail to reject the null hypothesis. Therefore, at 5% significance level, this information does not imply that the color preference of all college students is different (either way) from that of the general population.

7 0
3 years ago
4x – 3y = 18
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

when x=5, 4(5)-3y=18

                        3y=2

                          y=2/3

The coordinate would be(5,2/3)

5 0
3 years ago
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