1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
4 years ago
7

How can I convert log2 1/64

Mathematics
1 answer:
mina [271]4 years ago
3 0

Answer:

The answer is -6

Step-by-step explanation:

In order to find this, we first must notice that the number is smaller than the base. This means the answer will be negative.

Next, to find what that negative number is, we need to know what we have to raise the base (2) by to get the denominator (64). We need to raise 2 to the 6th power to get 64.

Therefore, our answer is -6

You might be interested in
There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxe
WITCHER [35]

Answer:No they do not have enough they only have 82 apples

Step-by-step explanation:

7 0
3 years ago
A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exp
Jet001 [13]

Answer:

a) P(X=13)=(24C13)(0.4)^{13} (1-0.4)^{24-13}=0.0608

P(X=17)=(24C17)(0.4)^{17} (1-0.4)^{24-17}=0.0017

P(X=13 U X=17) = 0.0608+0.0017=0.0624

b) P(X \geq 17)=0.000427

c) P(X \geq 16)= 1-0.000427=0.9996

d) E(X)= np = 22*0.4=8.8

e) Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=24, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

3) Part a

P(X=13)=(22C13)(0.4)^{13} (1-0.4)^{22-13}=0.0336

P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035

P(X=13 U X=17) = 0.0336+0.00035=0.0340

4) Part b

P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)

P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035

P(X=18)=(22C18)(0.4)^{18} (1-0.4)^{22-18}=0.0000651

P(X=19)=(22C19)(0.4)^{19} (1-0.4)^{22-19}=0.00000914

P(X=20)=(22C20)(0.4)^{20} (1-0.4)^{22-20}=0.000000914

P(X=21)=(22C21)(0.4)^{21} (1-0.4)^{22-21}=5.81x10^{-8}

P(X=22)=(22C22)(0.4)^{22} (1-0.4)^{22-22}=1.76x10^{-9}

P(X \geq 17)=0.000427

5) Part c

P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]

P(X \geq 16)= 1-0.000427=0.9996

6) Part d

The expected value is:

E(X)= np = 22*0.4=8.8

7) Part e

The variance is given by:

Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28

3 0
3 years ago
4 in<br>4 in<br>Find the area of the triangle.<br>[?] square inches<br>Enter​
34kurt
It is 8 sq in his because if u use the formula bh1/2 u get 4 x 4 x 1/2 which is equal to 8
6 0
4 years ago
Please answer this correctly
gladu [14]

Answer:

The yellow rope. Hope this helped.

Step-by-step explanation:

Gold

Green

Blue

yellow

3 0
3 years ago
What is the percent if 780 students likes berry blast and only 220 students prefer melon splash
fenix001 [56]
78% I think atleast.
7 0
4 years ago
Other questions:
  • Abdul is making a map of his neighborhood. He knows the following information:
    6·2 answers
  • The sum of 13x and 3x
    5·2 answers
  • Accumulated amount of money flow at time T. Assume that function gives the rate of flow of money in dollars per year over the gi
    13·1 answer
  • Find the inverse of f(x)=-4x-12<br>​
    11·1 answer
  • A bar of soap weighs 3.8 ounces. the ingredient glycerin makes up 0.4 of the weight of the soap. what is the weight of the glyce
    6·1 answer
  • Reflect D(3,3) E(0,5) and F(-2,2) on the x axis and then lable them D' E' and F'​
    5·1 answer
  • Of 5 Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?​
    13·2 answers
  • Simplify. Rewrite the expression in the form b^nb n b, start superscript, n, end superscript. \dfrac{b^{8}}{b^2}= b 2 b 8 ​ =sta
    5·2 answers
  • Arithmetic Sequences as Linear Functions
    12·1 answer
  • Х у
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!