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3 years ago

What is the cube of 2?

Mathematics

2 answers:

Airida [17]3 years ago

6 0

Count each sides by twos

zloy xaker [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Number x Square x2 Cube x3

2 4 8

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Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

99% confidence interval for $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

Can’t figure out M<7/12 The options are A.1 B.-1 C.-9 D.-5

sladkih [1.3K]

M < 7 / 12

(1) < 7 / 12

(1) < 0.583333333 (false statement)

(-1) < 7 / 12

(-1) < 0.583333333 (true statement)

(-9) < 7 / 12

(-9) < 0.583333333 (true statement)

(-5) < 7 / 12

(-5) < 0.583333333 (true statement)

B C D maybe?

8 0

2 years ago

State whether the given equation or function is linear. Write yes or no. Explain your reasoning. f(x) = 7x2 + 4

vagabundo [1.1K]

For this case we have the following function:

$f (x) = 7x ^ 2 + 4$

By definition, we have that a linear equation is of the form $y = mx + b$

On the other hand, a quadratic equation is of the form $y = ax ^ 2 + bx + c$

Then, the given equation is not a linear equation, it is not of the form $y = mx + b$

Answer:

No, the equation is not linear. It is not of the form $f (x) = mx + b.$

4 0

3 years ago

Read 2 more answers

Fatima wants to find the value of sine theta, given Cotangent theta = four-sevenths. Which identity would be best for Fatima to

marysya [2.9K]

Answer: D, or 1+cotangent squared theta= cosecant squared theta

Step-by-step explanation: Took the test it is right

3 0

3 years ago

Read 2 more answers

What is the answer to this problom

Digiron [165]

The answer would be 369.75

369.75
8|2958.00
24
55
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78
72
60
56
40

5 0

3 years ago