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lidiya [134]
3 years ago
5

To earn a B in your algebra course, you must achieve an unrounded test average between 84 and 86, inclusive. You scored 86, 85,

and 80 on the first three tests of the grading period. What possible scores can you earn on the fourth and final test to earn a B in the course?
Between 70 and 79
Between 85 and 93
Between 87 and 95
Between 75 and 82
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

Between 85 and 93

Step-by-step explanation:

Remember that average is calculated by adding up the elements of a data set and then dividing the sum by the amount of elements in the set. If your final test score is x, we can write the following double inequality:

84\leq \frac{86+85+80+x}{4} \leq 86\\84\leq \frac{251+x}{4} \leq 86\\336\leq 251 + x\leq 344\\85\leq x\leq 93

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card
joja [24]

Answer: \dfrac{3}{51}

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red  cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

\dfrac{13}{52}=\dfrac{1}{4}

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

\dfrac{12}{51}

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}

7 0
3 years ago
Is my answer correct? <br> --&gt; tell me why i'm wrong if that's the situation please!!
BlackZzzverrR [31]

Answer:

the correct one is c, which is the second option

Step-by-step explanation:

The exterior angle of a polygon is 360.

And for a rectangle, they have equal exterior angles.

So a rectangle has 4 sides

So each exterior angle=360/4

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Then the correct c which has 90°

8 0
3 years ago
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Ulleksa [173]
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First and second place in the contest use a ratio to share a cash prize when first place pays $100 second please pay $60 how muc
Talja [164]

100/60 = x/36

Cross Multiply

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First place pays $60 when second place pays $36.

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3 years ago
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solmaris [256]

Answer:

6 · 10⁻³

Step-by-Step Explanation:

The number 6 time 10 to the power -3 is 6 · 10⁻³ in standard form.

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2 years ago
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