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3 years ago

Answer these questions GEOMETRY

Mathematics

1 answer:

pickupchik [31]3 years ago

8 0

7. 3/5 = 4.5/x

3x= 5(4.5)

x = 15/2

8. 6/4 = 9/x

6x= 45

x= 15/2

8. since triangle ABC and ADE are identical,

angle E is also 30 degrees

so angle D = 180-(30+70)=80 degrees

9. 9/3 = x/5

3x = 45

x = 45/3 = 15

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find

andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 14 citizens

r = number of success = exactly 5

p = probability of success which in our question is % of the community

favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ $Binom(n=14, p=0.60)$

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

P(X = 5) = $\binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}$

= $2002 \times 0.60^{5} \times 0.40^{9}$

= 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0

3 years ago

un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar

seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

Ahora que tenemos todas las medidas podemos multiplicar el largo por el ancho para calcular el area del rectangulo

10cm * 4cm = 40 $cm^{2}$

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4 $cm^{2}$

Ahora simplemente dividimos el area del rectangulo por el area del cuadrado para saber cuantos cuadrados necesitamos para armar ese rectangulo

40 $cm^{2}$ / 4 $cm^{2}$ = 10 cuadrados

3 0

3 years ago

Mrs. Hernandez is redesigning her craft room which is in the shape of a rectangular prism. She wants to add wainscoting, which i

maksim [4K]

Answer:

312

Step-by-step explanation:

T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area

9 - 3 = 6 - 3 = 3

( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area

72 + 48 + 192 = 312

5 0

2 years ago

Find the product in simplest form.

Nookie1986 [14]

The answer is D: 12

20 x 3 = 60
60 / 5 = 12

7 0

3 years ago

Read 2 more answers

The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the

iogann1982 [59]

Using translation concepts, it is found that the equation of the transformed function is:

y = |x + 3| - 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:

It was shifted 3 units to the left, hence x -> x + 3.

It was shifted 2 units down, hence y -> y - 2.

Thus, the equation of the function is now given by:

y = |x + 3| - 2.

More can be learned about translation concepts at brainly.com/question/4521517

6 0

2 years ago

Read 2 more answers