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aivan3 [116]
2 years ago
7

Use the like bases property to solve the equation: 16^x = 1/4 x=

Mathematics
1 answer:
gavmur [86]2 years ago
7 0

Answer:-1/2

Step-by-step explanation:

16^x=1/4

(4^2)^x=4^(-1)

4^2x=4^(-1)

Base cancelled each other since they are the same

2x=-1

Divide both sides by 2

2x/2=-1/2

x=-1/2

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Help me please it’s practice
Burka [1]
-3x+80>20
You then move the 20 to right hand side
-3x>20-80
So 20-80 = -60
-3x>-60
You then divide them

= x < 20
7 0
3 years ago
Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0
2 years ago
Can somebody write this is quadratic form please
galina1969 [7]

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c = 0ax2+bx+c = 0

Move all the expressions to the left side of the equation.

−17−8x2−4x+3x2 = 0-17-8x2-4x+3x2 = 0

Add −8x2-8x2 and 3x23x2.

−17−5x2−4x = 0-17-5x2-4x = 0

Reorder the polynomial.

5x2+4x+17 = 0

Step-by-step explanation:

I hope this helped-

7 0
3 years ago
Which situations involve descriptive statistics ? Select each correct answer A) a bowler's scorecard shows he threw a strike on
mart [117]
C is the correct answer to your question
7 0
3 years ago
Read 2 more answers
HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
erastova [34]

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

5 0
2 years ago
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