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3 years ago

Plz help,.................refresh the page before u answer\

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

Composite is a number that is NOT prime. So we want to find an odd perfect square that IS prime to be a counterexample.
√36 = Not odd
√49 = 7 Factors only 1 * 7 so it is prime
√81 = 9 Factors 1, 3, 9 composite
√225 = 15 Factors 1,3, 5,9,15, 25, 45, 75, 225 composite

Counterexample for 2∧n - 1 Is prime
2^6 - 1 = 64 - 1 = 63 NOT PRIME Factors are: 1, 3, 7, 9,21, 63
2^5 - 1 = 32 - 1 = 31 Prime
2^3 - 1 = 8 - 1 = 7 Prime
2^2 - 1 = 4 - 1 = 3 Prime

You might be interested in

Write (27a^-3)^-2/3 in simpleset form

Luden [163]

Answer:

a²/9

Step-by-step explanation:

(27a⁻³) (-⅔) = 27^(-⅔) × (a⁻³)^(-⅔)

= (3³)^(-⅔) × a²

= 3⁻²a²

= a²/9

4 0

3 years ago

Read 2 more answers

A random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6. A random sample of 17 su

Sladkaya [172]

Answer:

We conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Step-by-step explanation:

We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.

A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.

Let $\mu_1$ = mean sales per market in Region 1.

$\mu_2$ = mean sales per market in Region 2.

So, Null Hypothesis, $H_0$ : $\mu_1-\mu_2$ = 0 {means that there is no difference in potential mean sales per market in Region 1 and 2}

Alternate Hypothesis, $H_A$ : > $\mu_1-\mu_2\neq$ 0 {means that there is a difference in potential mean sales per market in Region 1 and 2}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about population standard deviations;

T.S. = $\frac{(\bar X_1 -\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+ {\frac{1}{n_2}}} }$ ~ $t__n_1_+_n_2_-_2$

where, $\bar X_1$ = sample mean sales in Region 1 = 84

$\bar X_2$ = sample mean sales in Region 2 = 78.3

$s_1$ = sample standard deviation of sales in Region 1 = 6.6

$s_2$ = sample standard deviation of sales in Region 2 = 8.5

$n_1$ = sample of supermarkets from Region 1 = 12

$n_2$ = sample of supermarkets from Region 2 = 17

Also, $s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }$ = $s_p=\sqrt{\frac{(12-1)\times 6.6^{2}+(17-1)\times 8.5^{2} }{12+17-2} }$ = 7.782

So, the test statistics = $\frac{(84-78.3)-(0)}{7.782 \times \sqrt{\frac{1}{12}+ {\frac{1}{17}}} }$ ~ $t_2_7$

= 1.943

The value of t-test statistics is 1.943.

Now, at a 0.02 level of significance, the t table gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.

6 0

3 years ago

Write an equation and solve each problem. The ages of three brothers are consecutive integers with the sum of 96. How old are th

Alexxx [7]

Hi,

Let the

Youngest brothers age = x+2

Middle brothers age = x+4

Oldest brothers age = x+6

So,

Youngest brothers age = x+2 = 28+2 = 30 years of age

Middle brothers age = x+4 = 28+4 = 32 years of age

Oldest brothers age = x+6 = 28+6 = 34 years of age

Have a great day!

4 0

3 years ago

Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ $x+1.5\leq 5$

where $x$ represents he number of hours of television that Julia can still watch this week

On solving for $x$ , we get

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = $x$

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ $x+1.5$

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ $x+1.5\leq 5$

Solving for $x$

Subtracting both sides by 1.5

$x+1.5-1.5\leq 5-1.5$

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0

3 years ago

Solve for x: x^2+4x-5=16x

BigorU [14]

Solve for x: x^2+4x-5=16x
first take 16x from both sides of the equation
x²-12x-5=0
now we have a quadratic. we can solve it by using the quadratic formula
x=-b plus or minus the square root of b²-4ac all divided by 2a
where a=1, b=-12 and c=-5
plug these numbers into the formula
x=12 plus or minus the square root of 144-4x1x-5 all divided by 2
x=12 plus or minus the square root of 164 all divided by 2
or in decimal form x = {12.403124237, -0.403124237}

6 0

3 years ago

Read 2 more answers