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BabaBlast [244]
2 years ago
9

What is the median score on the exam ? a) 70 b) 75 c) 77.5 d) 85

Mathematics
1 answer:
My name is Ann [436]2 years ago
4 0

Answer:

b) 75

Step-by-step explanation:

The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.

Therefore, from inspection of the box plot diagram, the median is 75

<u>Additional information</u>

Lower quartile (Q1) = 70

Median (Q2) = 75

Upper quartile (Q3) = 85

IQR = Q3 - Q1 = 85 - 70 = 15

Minimum value = 55

Maximum value = 100

Range = Max - Min = 100 - 55 = 45

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Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37 <br> x=? y=?
lesya692 [45]
<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
   0 + 5y = 97
y  = 97/5
y = 19.4

7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6

Check

-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
3 0
3 years ago
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit
Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that \mu = 197, \sigma = 12

What is the probability a given player averaged less than 190?

This is the p-value of Z when X = 190.

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

Z = \frac{190 - 197}{12}

Z = -0.58

Z = -0.58 has a p-value of 0.281.

0.281 = 28.1% probability a given player averaged less than 190.

8 0
3 years ago
Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,
IrinaK [193]
C= 15 + 2h
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee
6 0
3 years ago
Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equation representing the given statement is ~

  • 50x + 330 \geqslant 820

The least number of lawns that he can cut and buy the computer is 10 lawns ~

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

  • total number of lawns cut × $50

  • 50x

total savings is equal to ~

  • 330 + 50x

hence,

  • 50x + 330 \geqslant 820

by solving for " x (number of lawns cut) " we get ~

  • 50x  \geqslant 820 - 330

  • 50x \geqslant 490

  • x  \geqslant 490 \div 50

  • x \geqslant 9.8

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

  • 10

6 0
2 years ago
Freddy is buying wings and nachos for a party. a box of ten wings cost $7.00 Nachos cost $4.00 per tray. He must spend less than
soldi70 [24.7K]
Hey there! The answer is 7x + 4y < 40

Let's first rearrange our data in a more structured way.

x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.

y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.

The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.

Now we can set up the inequality.
7x + 4y < 40

~ Hope this helps you!
6 0
3 years ago
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