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S_A_V [24]
2 years ago
14

Which of the following mixed number has a value between 10/3 and 11/3

Mathematics
1 answer:
inna [77]2 years ago
8 0
21/6 would be a valid answer.
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Divide R120 in the ratio 3:2
Fynjy0 [20]

Answer:

72:48

Step-by-step explanation:

as you divide 120 by 5 as 3+2=5 and that equals 24

24x3=72

24x2=48

7 0
3 years ago
Read 2 more answers
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

Z = \frac{X - \mu}{s}

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

Z = \frac{X - \mu}{s}

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Match the types of well formed formulas with the expressions. Negation Conjunction Disjunction Conditional Biconditional A. T &l
nikklg [1K]
<h3>Answers:</h3>
  • A. T <-> U  is a <u>biconditional</u>
  • B. (A & B) v (C & D)  is a <u>disjunction</u>
  • C. R -> ~S  is a <u>conditional</u>
  • D. P & Q   is a <u>conjunction</u>
  • E. ~(R v P)  is a <u>negation</u>

========================================

Explanations:

  • A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
  • Disjunctions are of the basic form A v B. The "v" basically means "or".
  • Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
  • Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
  • Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".
6 0
3 years ago
The graph below shows Sean's distance, d, from his home (in kilometers) as a function of the time, t (in hours).
sdas [7]

Answer:

20

20

5

Step-by-step explanation:

4 0
2 years ago
How do i write 23r4 in verbal expression
cupoosta [38]

Answer:

if it's 2/3r^4 heres the answer

Step-by-step explanation:

1.) 2/3 times r raised to the 4th power

2.) the product of 2/3 and r raised to the 4th power

3.) 2/3 multiplied by r raised to the 4th power

4.) 2/3 of r raised to the 4th power

you can pick one of the many choices I've listed!! youre welcome :)

7 0
2 years ago
Read 2 more answers
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