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3 years ago

What is the sum of this expression. 4 3/8 + 7 3/4

Mathematics

2 answers:

larisa86 [58]3 years ago

8 0

4 3/8 + 7 3/4 = 12 1/8

Explanation: 3/8 + 3/4 =1 1/8
4+7 = 11

11 + 1 1/8 = 12 1/8
I høpe this hełped yøü

almond37 [142]3 years ago

5 0

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

$\frac{97}{8}$

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Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is

Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since, its head is twice as likely to occur as its tail.

$p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}$

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n = 3

$p=\dfrac{2}{3}$

$q=\dfrac{1}{3}$

Now,

$P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222$

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

$P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292$

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

$P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111$

Hence, a) 0.2222, b) 0.3292, c) 0.1111

8 0

3 years ago

identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation descri

sertanlavr [38]

Answer: Random sampling

Step-by-step explanation:

A random sampling technique is a method of sampling in which each member for the sample is chosen randomly from the population.
Systematic sampling : It is a kind of random sampling in which the members get selected after a fixed interval but a random starting point.
Convenience sampling : It is a kind of random sampling in which the members get selected on the basis of researchers convenience.
Stratified sampling : It is a kind of random sampling in which the entire population is divided into a finite number of strata , the researcher select members for sample from each strata.
Cluster sampling : It is a kind of random sampling in which the entire population is divided into clusters. Then a random sample of cluster is drawn by researcher.

In the given situation , 784 adults are selected after their telephone numbers were randomly generated by a computer.

Therefore , the type of sampling used here is : random sampling

7 0

3 years ago

Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

tankabanditka [31]

Answer:

$9x+5y=-20$