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2 years ago

2.

Mathematics

1 answer:

Lelechka [254]2 years ago

5 0

Answer:

The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply \displaystyle 3x + y = 8 by to get . Then, we can add \displaystyle 2x + 4y = 12 to this equation to yield , so .

Step-by-step explanation:

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According to the fundamental theorem of algebra, how many zeros does the polynomial below have?

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It has 3 zeros, because its a polynomial of degree 3.

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2 years ago

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Solve for the missing variable.

tigry1 [53]

There wasn't much to go off of but based of the information you've gave me the answer would be 7.68=6.28

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Theresa has 26$ in her wallet the bills are each worth either 5$ or 1$ if there are 14 bills total, how many dose she have of ea

Mekhanik [1.2K]

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Step-by-step explanation:

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2 years ago

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c

SVEN [57.7K]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = $x$ pounds

Cost of 1 pound = $8.24

Cost of $x$ pounds = $8.24 $\times x$

Writing the equation as per question statement:

$80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}$

Therefore, 5 pounds of coffee was bought.

3 0

2 years ago

A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a

frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 80, \sigma = 6.5$