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3 years ago

Lisa says that 43 is an odd number that is composite . Is she correct? Explain.

Mathematics

2 answers:

notsponge [240]3 years ago

8 0

No. 43 is not a composite number since it can be divided by 1 and itself.

Assoli18 [71]3 years ago

6 0

Lisa is incorrect although it is an odd number it is not composite. It only has itself and 1. Therefore its a prime number.

This is the definition for prime if you still dont understand.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

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Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif

dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

Step:-1

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals $t_{0.01} =2.82$ (from tabulated value).

$The mean value = 0.0365$

$x±t_{0.01} \frac{S}{\sqrt{n-1} }$

$0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }$

$0.0365±2.82 \frac{0.0046}{\sqrt{22} }$

$0.0365±2.82 \frac{0.0046}{4.690 }$

using calculator

$0.0365±0.00276$

Confidence interval is

$(0.0365-0.00276,0.0365+0.00276)$

$(0.0338,0.0392)$

the mean value is lies between in this confidence interval

(0.0338,0.0392).

Answer:-

using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.

4 0

3 years ago

Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have

harina [27]

If $\frac { 3 }{ 4 }$ is left, that means $\frac { 1 }{ 4 }$ was spent. So $\frac { 1 }{ 4 }$ of the total amount is equal to 39.. Let's say x to the total amount. $\frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\$

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Answer:

Step-by-step explanation:

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Galina-37 [17]

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prohojiy [21]

Answer:

B. (−2, 3)

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