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DIA [1.3K]
3 years ago
10

A triangle XYZ has its vertices at X(2, 4), Y(6,-4), and Z(-4,1). What is the perimeter of the triangle XYZ?

Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

c

Step-by-step explanation:

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7 0
3 years ago
1) An ice cream factory makes 320 quarts of ice cream in 10 hours.
zzz [600]
320 qts/10 hrs = 32 qts/1 hr 

They can make 384 quarts in 12 hours.

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8 0
3 years ago
Read 2 more answers
Calculate the data value that corresponds to each of the following z-scores.
Fynjy0 [20]

Answer:

a) 90.1

b) $35.6

c) 3.0915 hours

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

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

In which \mu is the mean and \sigma is the standard deviaition.

In all three cases, we have to find X

a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.

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

2.30 = \frac{X - 74}{7}

X - 74 = 7*2.3

X = 90.1

b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.

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

-1.45 = \frac{X - 53}{12}

X - 53 = -1.45*12

X = 35.6

Mean and standard deviation in dollars, so the answer also in dollars.

c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.

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

-0.79 = \frac{X - 4}{1.15}

X - 4 = -0.79*1.15

X = 3.0915

Mean and standard deviation in hours, answer in hours.

6 0
3 years ago
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buy
stiv31 [10]

Answer: hot dog = $1.75

<u>Step-by-step explanation:</u>

Let h represent hot dogs and c represent bags of chips.

Customer 1: 4h + 2c = 9.00  →  3(4h + 2c = 9.00)  →  12h + 6c =  27.00

Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75)  → <u>-10h - 6c </u>= <u>-23.50</u>

                                                                                       2h        =    3.50

                                                                                   <u>   ÷2        </u>    <u>   ÷2    </u>

                                                                                        h        =    1.75


7 0
3 years ago
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