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2 years ago

If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, it passes through point (5, 6).

Mathematics

2 answers:

N76 [4]2 years ago

8 0

Answer:

False

Step-by-step explanation:

(5-2)²+(6-6)²=3²+0=9 and not 4

Salsk061 [2.6K]2 years ago

5 0

Hello,

False

(5-2)²+(6-6)²=3²+0=9 and not 4

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g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

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2 years ago

Please answer 60....I don't understand

bonufazy [111]

So you basically just add up all of the numbers for the number sentence, so:
1800+2150+675+2300+665+95+250+1150+225+750+530. So the sum of those is the new balance, which is $10590

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2 years ago

What are the y-intercept of the function f(x)=-2x^2-3x+20?

Serhud [2]

Answer:

$\sf A) \ (-4, \ 0) \ and \ \ [\dfrac{5}{2} , \ 0]$

Explanation:

Given function: f(x) = -2x² - 3x + 20

To find the x-intercepts of a function, f(x) = 0

=================

-2x² - 3x + 20 = f(x)

-2x² - 3x + 20 = 0

-2x² - 8x + 5x + 20 = 0

-2x(x + 4) + 5(x + 4) = 0

(-2x + 5) (x + 4) = 0

-2x + 5 = 0, x + 4 = 0

-2x = -5, x = -4

x = -5/-2,x = -4

x = 5/2, x= -4

Coordinates: (-4, 0), (5/2, 0)

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1 year ago

What is the difference between the range of the electoral votes per state and the modal number of electoral votes in the followi

-Dominant- [34]

The difference is 45.

The modal number of the electoral votes is 5 because it appears the most.

The range of the electoral votes is 55 - 5 = 50 (Highest minus the lowest).

The difference between the two is found by subtracting them.
50 - 5 = 45

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2 years ago

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1 year ago

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