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The concession stand sells hot dogs and soda during Beck high school football games John bought six hotdogs and four Sotos and p

siniylev [52]

Question is not proper, Proper Question is given below;

The concession stand sells hot dogs and drinks during their high school foot ball game. John bought 6 hot dogs and 4 soda and paid $6.70. Jessica bought 4 hot dogs and 3 Soda and paid $4.65. What is the price of a hot dog and a Soda?

Answer:

Hot dog cost for $0.75 and Soda cost for $0.55.

Step-by-step explanation:

Let the Price of each Hot dog be x.

Also Let the price of each Soda be y.

Now Given:

John bought 6 hot dogs and 4 Soda and paid $6.70.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$6x+4y=6.70$

Dividing by 2 on both sides we get;

$\frac{6x}{2}+\frac{4y}{2}=\frac{6.70}{2}\\\\3x+2y=3.35 \ \ \ \ equation\ 1$

Also Given:

Jessica bought 4 hot dogs and 3 Soda and paid $4.65.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$4x+3y=4.65 \ \ \ \ equation \ 2$

Multiplying equation 1 by 3 we get;

$3(3x+2y)=3.35\times3\\9x+6y=10.05 \ \ \ \ equation \ 3$

Also Multiplying equation 2 by 3 we get;

$2(4x+3y)=4.65\times 2\\8x+6y = 9.3 \ \ \ \ equation\ 4$

Now Subtracting equation 4 from equation 3 we get;

$(9x+6y)-(8x+6y)=10.05-9.3\\9x+6y-8x-6y= 0.75\\x=\$0.75$

Now Substituting the value of x in equation 1 we get;

$3x+2y=3.35\\\\3\times 0.75+2y = 3.35\\\\2.25+2y=3.35\\\\2y = 3.35-2.25\\\\2y = 1.1\\\\y=\frac{1.1}{2}= \$0.55$

Hence Hot dog cost for $0.75 and Soda cost for $0.55.

4 0

4 years ago

1. A senator is thinking about running for president. But she will only do so if more than 60% of the voters view her favorably.

OLga [1]

The senator is faced with the making a decision to run for President, based

on the conclusion she can make from the data she gathers.

The statistical method that would be best for her to use is inferential

statistic method such as finding the percentage of supporters she has to a

given confidence level.

Reason:

The two main types of statistical methods are;

Inferential statistics methods; Theses are methods used to reach a

conclusion that extends past the given or available data.

Descriptive statistics methods; Theses are statistical method used as a

summary of a data set.

Given that the senator is trying to draw conclusion based on the data she

gathers, she should use inferential statistic method.

The type inferential statistic method that can be used is the confidence

interval.

From the data collected, the proportion of voters that view her favorably is

used at a given confidence level to determine the true proportion of voters

that view her favorably.

Therefore;

The statistical method that would be best for her to use is the

finding of the confidence interval which is a inferential statistic method.

Learn more here:

brainly.com/question/15873157

7 0

3 years ago

David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that

balandron [24]

Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.

The people are chosen without replacement from the sample, hence the hypergeometric distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$