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2 years ago

Use the distributive property to rewrite 1/4 (x - 16)

Mathematics

1 answer:

Gnesinka [82]2 years ago

8 0

Answer: 1/4x - 4

May i have brainliest

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Lana wants to buy a hamster. The hamster is on sale for 19% off. Lana has a coupon as well. The coupon is for 15% off. What is t

son4ous [18]

Answer:

$42 - 19 = 23 - 15 = $8

Step-by-step explanation:

6 0

2 years ago

A student S is suspected of cheating on exam, due to evidence E of cheating being present. Suppose that in the case of a cheatin

Kay [80]

Answer:

Step-by-step explanation:

Suppose we think of an alphabet X to be the Event of the evidence.

Also, if Y be the Event of cheating; &

Y' be the Event of not involved in cheating

From the given information:

$P(\dfrac{X}{Y}) = 60\% = 0.6$

$P(\dfrac{X}{Y'}) = 0.01\% = 0.0001$

$P(Y) = 0.01$

Thus, $P(Y') \ will\ be = 1 - P(Y)$

P(Y') = 1 - 0.01

P(Y') = 0.99

The probability of cheating & the evidence is present is = P(YX)

$P(YX) = P(\dfrac{X}{Y}) \ P(Y)$

$P(YX) =0.6 \times 0.01$

$P(YX) =0.006$

The probabilities of not involved in cheating & the evidence are present is:

$P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})$

$P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099$

(b)

The required probability that the evidence is present is:

P(YX or Y'X) = 0.006 + 0.000099

P(YX or Y'X) = 0.006099

(c)

The required probability that (S) cheat provided the evidence being present is:

Using Bayes Theorem

$P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}$

$P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}$

$P(\dfrac{Y}{X}) = 0.9838$

5 0

2 years ago

The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side i

PolarNik [594]

Answer:

7, 9, 13

Step-by-step explanation:

Let the sides of the triangle be a, b and c.

We have:

P = a + b + c = 29
a = 2b - 5
c = b + 6

Substitute values and solve for b:

2b - 5 + b + b + 6 = 29
4b + 1 = 29
4b = 28
b = 7

Find a and c:

a = 2*7 - 5 = 14 - 5 = 9
c = 7 + 6 = 13

The sides are: 7, 9, 13

4 0

2 years ago

Read 2 more answers

What is the value of p?

Misha Larkins [42]

P=pie which could be 8

5 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Misha Larkins [42]

Answer:

T.A = 54 + 9/2 √3

Step-by-step explanation:

∵ The figure is triangular prism

∴ T.A = perimeter of the base × height + 2 × area of the base

∵ The base is an equilateral Δ with side length 3"

∴ The perimeter of the base = 3 × 3 = 9 inches

∴ The area of the base = 1/4 S² √3 = 1/4 (3)²√3 = 9/4 √3 inches²

∵ The length of the height of the prism = 6"

∴ T.A = 9 × 6 + 2 × 9/4 √3 = 54 + 9/2 √3

∴ T.A = 54 + 9/2 √3 inches²

3 0

3 years ago