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vova2212 [387]
2 years ago
13

A password must have 2 letters and 3 digits. How many different passwords are possible?

Mathematics
1 answer:
vichka [17]2 years ago
4 0
B I think good luck
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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
What the slope of the graph is
STatiana [176]

Answer:

the slope is rise over run in a graph

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Factor completely 15x^5 + 12x^4-24x^3-3x^2
diamong [38]

Answer:

3x^2 (5x^3 + 4x^2 - 8x - 1)

Step-by-step explanation:

The given expression is 15x^5 + 12x^4-24x^3-3x^2

Here we have to find the GCF of all the above terms.

The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.

15x^5 + 12x^4-24x^3-3x^2

=3x^2 (5x^3 + 4x^2 - 8x - 1)

Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).

15x^5 + 12x^4-24x^3-3x^2 = 3x^2 (5x^3 + 4x^2 -8x -1)

Thank you.

7 0
3 years ago
The distance around a circle is also called the circumference. The diameter of a circle is the distance across the circle throug
Vika [28.1K]

Answer:

True

Step-by-step explanation:

The definition of diameter is "a straight line passing from side to side through the center of a body or figure, especially a circle or sphere."

6 0
3 years ago
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = x 2 + 2x − 5 f(x) = + 1 f(x) = 0x2 − 9x + 7
Katena32 [7]
\text{A quadratic function:}\ f(x)=ax^2+bx+c\\\\\text{where}\ a\neq0
f(x)+-8x^3-16x^2-4x-NOT\\\\f(x)=x^2+2x-5-YES\\\\f(x)=?+1-NOT\\\\f(x)=0x^2-9x+7-NOT

8 0
3 years ago
Read 2 more answers
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