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Anika [276]
3 years ago
13

The data set below shows the number of points scored by a basketball team for each of nine games. If the mean of the data is 83

and the standard deviation is 6.5, identify all the scores that are within one standard deviation of the mean. {71, 77, 79, 80, 83, 87, 88, 90, 92}​
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Step-by-step explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

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Quadrilateral PQRS with diagonals PR and SQ that intersect at point T
larisa [96]

Answer:

A. segment PS ≅ segment QR

Step-by-step explanation:

Given that the quadrilateral PQRS is a rectangle then;

  • The diagonals are PR and SQ
  • Point of intersection of diagonals is T
  • Segment PS≅ Segment QR
  • ∠PSQ≅ ∠SQR
  • segment SR≅ segment PQ

8 0
3 years ago
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3x+2y=8
nevsk [136]

The slope is 3

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Si 2/3 de los 84 pasajeros de un bus de Transmilenio son hombres, ¿cuántas
Rina8888 [55]

Answer:

A

Step-by-step explanation:

Aquí, tenemos 2/3 como hombres.

La fracción de mujeres es, por lo tanto, 1-2 /3 = 1/3

Entonces 1/3 de 84 son mujeres Por lo tanto, el número de mujeres es 1/3 * 84 = 28

7 0
3 years ago
Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the
kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\frac{a}{sinA} = \frac{b}{sinB}

\frac{28}{sinA} = \frac{12}{sin25}

Cross multiply:

28 sin25 = 12 sinA

11.83 = 12 sinA

Sin A = \frac{11.83}{12}

Sin A = 0.986

A = sin^-^1(0.986)

A = 80.44 degrees

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0
3 years ago
Can someone help me with this
zhannawk [14.2K]

Answer:

30  I N

Step-by-step explanation:

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