Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?

4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted

What is probabilty ?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

We have,

n = 4000

p = 0.35 , q=1-p=0.65

= E(X) = np= 4000 (0.35) 600 1400

6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662

Consider

P(X[tex]\geq[/tex]1450) = p 7

X-U

1450 1400

30.1662

=P(z>1,66)

=0.048457

from standard normal table,

Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled

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Answer: c

Step-by-step explanation:

Elliptical graphs fail the vertical line test as they have same x and y values at some places. Thus elliptical graph is not a function

The solution for the given algebraic expression is 1.

Yes, there is. When you solve any Math Operations, it is necessary to be attentive to the order of the solution.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

The question gives:

9/10 x 5/2 -5/4

Following the order of operations:

        9/10 * 5/2 = 45/20

             [tex]\frac{45:5}{20:5} =\frac{9}{4}[/tex]

     9/4 - 5/4 = 4/4 =1

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(4\times10^3) + (3.2\times 10^1)}[/tex]

[tex]\mathsf{= 4\times10^3 + 3.2\times 10^1}[/tex]

[tex]\mathsf{= 4\times10\times10\times10 + 3.2\times10}[/tex]

[tex]\mathsf{= 4\times100\times10 + 3.2\times10}[/tex]

[tex]\mathsf{= 4\times1,000 + 3.2\times10}[/tex]

[tex]\mathsf{= 4,000 + 32}[/tex]

[tex]\mathsf{= 4,032}[/tex]

[tex]\mathsf{\approx 4.032\times10^3}[/tex]

[tex]\huge\text{Thus, your answer SHOULD be: \boxed{\mathsf{4.032\times10^3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

3.5% of all sold units have been returned so far. The probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

Given that,

For an online store, Stephan is evaluating the data on product returns. 3.5% of all sold units have been returned so far.

We have to find what is the probability that at most 6 units were returned out of 200 sold unit records.

From binomial,

Binomial to normal approximations without continuity factor Sample size ,

n = 200

Probability of an event of interest,  

p = 0.035  

P(0<=n<=2)

=0.7323

Therefore, the probability that at most 6 units were returned out of 200 sold unit records is 0.7323.

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The perimeter of a rectangular garden with width w = 4x - 6 and length l = 2x + 4 is given by: 2w + 2l = 2(4x - 6) + 2(2x + 4) = 8x - 12 + 4x + 8 = 12x - 4

Answer: option B

The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the premium skins be p.

Let the number of tools be t.

This will be illustrated as:

(2.99 × p) + (4.99 × t) = 25

2.99p + 4.99t = 25

This illustrates the equation.

The complete question is given below.

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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?

For the standardized dataset , the value of median = mean , which is equal to 7

The mean of the close friends people have = 7

The variance = 100

Standard deviation can be found using the formula

                   v = σ²

where  v is the variance and

            σ is the standard deviation

Then ,                  σ² = 100

                            σ  = √100

                            σ  = 10

Therefore , the standard deviation for the close friends have is 10

The standard score for these vales can be found using the formula

                         Z = (X - μ) / σ

where Z is the standard score

           X is the raw score

           μ is the mean

           σ is the standard deviation

Using this formula, the standard score of any raw score can be calculated.

For, the standardized dataset , the value of median will be equal to value of median.

                           Median = mean

                           Median = 7

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Answer:

Step-by-step explanation: 812 - 523 = 289