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3 years ago

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A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately,

what is the percentage of players weighing greater than or equal to 213 pounds

1 answer:

Marina CMI [18]3 years ago

7 0

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

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A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

so

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

<em>Find the value of x</em>

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

<em>Find the value of y</em>

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

<em>Bottle 1</em>

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

<em>Find the value of x</em>

substitute the value of y in equation A

$x=\frac{6}{3}=2$

<em>Find the value of z</em>

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

<em>Bottle 2</em>

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

<em>Find the value of y</em>

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

<em>Find the value of z</em>

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

<em>Bottle 3</em>

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

Read 2 more answers

Bill reads 1/5 of a book on Monday he reads 2/3 of a book on Tuesday if he finish reading the book on Wednesday what fraction of

Evgen [1.6K]

total book =1

1/5 + 2/3 + wed = 1

get a common denominator of 15

1/5 * 3/3 + 2/3 * 5/5 + wed = 1 * 15/15

3/15 + 10/15 + wed = 15/15

combine like terms

13/15 + wed = 15/15

subtract 13/15 on each side

wed = 15/15-13/15

wed = 2/15

He read 2/15 of the book on Wednesday

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3 years ago

In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Gemiola [76]

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out $y-intercept$ by substituting $x=0$

$y=-\frac{1}{5}\times 0+3\\\\y=3\\\\Hence\ line\ passes\ through\ (0,3).$

Second Step:

Find out $x-intercept$ by substituting $y=0.$

$0=-\frac{1}{5}x+3\\\\\frac{1}{5}x=3\\\\x=15\\\\Hence\ line\ passes\ through\ (15,0).$

Third Step:

Draw a line passing through $(0,3)\ and\ (15,0)$ .

Graph is attached.

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3 years ago

Tabitha walked 13.5 miles in 3 hours. at that speed how many miles will she wallk in seven hours?

NISA [10]

Answer: 31.5 miles

Step-by-step explanation: know how many miles tabitha walked per hour, which is 4.5 miles. then multiply 13.5 x 2, and add 4.5 to receive your answer - 31.5.

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3 years ago

Read 2 more answers

I don't know how to find a different angle from this. PLEASE HELP FIND X!!!! THANKS!!!

timama [110]

The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.

The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.

In any triangle, the interior angles' measures add up to 180 degrees. So we have

? + 93 + (180 - 128) = 180

? + 93 - 128 = 0

? = 128 - 93

? = 35

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3 years ago