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ohaa [14]
2 years ago
12

A triangle has angles that measure 49° and 84°.

Mathematics
1 answer:
BaLLatris [955]2 years ago
5 0
A plat angle measure 180° it means that A+B+C=180 Then if A=49° and B=84. ,A+B=133 Then if we make 180-133 we we would have 47
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Find the probability of rolling a prime number on the first die and even number on the second
Zinaida [17]

Answer:

0.25

Step-by-step explanation:

Prime outcomes on a die: 2,3,5

P(prime) = 3/6 = 1/2

Even outcom: 2,4,6

P(even) = 3/6 = 1/2

P(prime & even)

= P(prime) × P(even)

= ½ × ½

= ¼ or 0.25

4 0
3 years ago
Which choice is equivalent to the expression below ^-216​
Natali5045456 [20]

Answer:

B. 6i√6

General Formulas and Concepts:

<u>Algebra II</u>

  • Imaginary Numbers: √-1 = i

Step-by-step explanation:

<u>Step 1: Define expression</u>

√-216

<u>Step 2: Simplify</u>

  1. Factor:                     √-1 · √216
  2. Simplify:                   i · 6√6
  3. Multiply:                   6i√6
5 0
2 years ago
Read 2 more answers
Need help ASAP. Will give brainliest!!!!
julia-pushkina [17]

B1 to H1, B3 to H2, B2 to H3.

8 0
2 years ago
Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
2 years ago
The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for
dezoksy [38]

Answer: 44 gallons

Step-by-step explanation:

Using proportion,

33 gallons = 3hours

X = 4hours

Cross multiply

3 × X = 33 × 4

3X = 132

Divide bothside by 3

3x/3 =132/3

X = 44

Therefore the helicopter uses 44gallons for 4 hours.

3 0
3 years ago
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