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2 years ago

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Bobby collected data from his 8 friends on how many movies they saw over the summer. Here is his data set. {2, 2, 3, 4, 5, 5, 5,

10} What is the mean of the data? Round all answers to the nearest tenths place.

1 answer:

OLEGan [10]2 years ago

8 0

Answer:

4.5

Step-by-step explanation:

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Un globo busca aterrizar en medio de dos ciudades A y B, cuya distancia entre si es de 200 km. Si se mide el ángulo de elevación

scoundrel [369]

Answer:

$h \approx 59.898\,km$

Step-by-step explanation:

El diagrama trigonométrico que representa el enunciado es incluido abajo como adjunto. Las siguientes relaciones trigonométricas describen la localización del globo. (The trigonometric diagram representing the statement is included below as attachment. The following trigonometric relations describes the location of the balloon):

$\tan 27^{\circ} = \frac{h}{x}$

$\tan 36^{\circ} = \frac{h}{200-x}$

A continuación, se obtiene la distancia horizontal: (The horizontal distance is obtained hereafter):

$x \cdot \tan 27^{\circ} = (200-x)\cdot \tan 36^{\circ}$

$x \cdot (\tan 27^{\circ} + \tan 36^{\circ})= 200\cdot \tan 36^{\circ}$

$x = \frac{200\cdot \tan 36^{\circ}}{\tan 27^{\circ}+ \tan 36^{\circ}}$

$x \approx 117.557\,km$

La altura aproximada del globo es (The approximated height of the globe is):

$h = x\cdot \tan 27^{\circ}$

$h \approx 59.898\,km$

7 0

2 years ago

Chelsea is graphing the function f(x) = 20(One-fourth)x. She begins by plotting the initial value. Which graph represents her fi

natta225 [31]

Answer:

C

Step-by-step explanation:

8 0

2 years ago

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An equilateral triangle has a semiperimeter of 6 meters.

guapka [62]

Answer:

7

Step-by-step explanation:

An equilateral triangle has a semiperimeter of 6 meters.

Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot

An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter.

2 square meters

7 square meters

20 square meters

78 square meters

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2 years ago

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Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.

Misha Larkins [42]

Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.

If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°

4 0

2 years ago

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A mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt. Th

Arturiano [62]

Answer:

The probability of hitting the bullseye at least once in 6 attempts is 0.469.

Step-by-step explanation:

It is given that a mechanical dart thrower throws darts independently each time, with probability 10% of hitting the bullseye in each attempt.

The probability of hitting bullseye in each attempt, p = 0.10

The probability of not hitting bullseye in each attempt, q = 1-p = 1-0.10 = 0.90

Let x be the event of hitting the bullseye.

We need to find the probability of hitting the bullseye at least once in 6 attempts.

$P(x\geq 1)=1-P(x=0)$ .... (1)

According to binomial expression

$P(x=r)=^nC_rp^rq^{n-r}$

where, n is total attempts, r is number of outcomes, p is probability of success and q is probability of failure.

The probability that the dart thrower not hits the bullseye in 6 attempts is

$P(x=0)=^6C_0(0.10)^0(0.90)^{6-0}$

$P(x=0)=0.531441$

Substitute the value of P(x=0) in (1).

$P(x\geq 1)=1-0.531441$

$P(x\geq 1)=0.468559$

$P(x\geq 1)\approx 0.469$

Therefore the probability of hitting the bullseye at least once in 6 attempts is 0.469.

3 0

2 years ago