What number is 100 times as great as 0.3

A scientist in the lab is measuring a beetle to be 32 millimeters long, how much is that in meters?

RUDIKE [14]

32 millimeters = 0.032 meters

5 0

3 years ago

Read 2 more answers

The product of 7 and x is -28 what is the value of x

Sindrei [870]

The value of x is -4

8 0

3 years ago

Read 2 more answers

Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr

Minchanka [31]

Answer:

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval". The margin of error is the range of values below and above the sample statistic in a confidence interval. Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean". [tex]p_1$ represent the real population proportion for 1

$\hat p_1 =0.768$ represent the estimated proportion for 1

$n_1=92$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =0.646$ represent the estimated proportion for 2

$n_2=95$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

$ME= \frac{0.2753-(-0.0313)}{2}=0.1533$

And we know that the margin of erro is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

We have all the values except the value for $z_{\alpha/2}$

So we can find it like this:

$0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}$

And solving for $z_{\alpha/2}$ we got:

$z_{\alpha/2}=2.326$

And we can find the value for $\alpha/2$ with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got $\alpha/2 =0.01$ so then the value for $\alpha=0.02$ and then the confidence level is given by: $Conf=1-0.02=0.98$ or 98%

7 0

3 years ago

1 point

Dimas [21]

Answer:

The simplest radical form is $9\sqrt{5}$ ⇒ (c)

Step-by-step explanation:

To simplify any square root;

Factorize the number under the root using prime numbers

Take out the root any number repeated twice as one number

Examples:

1. Simplify $\sqrt{8}$

factorize 8 using prime numbers

8 = 2 × 2 × 2, then $\sqrt{8}=\sqrt{(2)(2)(2)}$

Take two of 2 out the root, then $\sqrt{8}=2\sqrt{2}$

2. Simplify $\sqrt{18}$

factorize 18 using prime numbers

18 = 2 × 3 × 3, then $\sqrt{18}=\sqrt{(2)(3)(3)}$

Take the two 3 out the root, then $\sqrt{18}=3\sqrt{2}$

Let us simplify $3\sqrt{45}$

∵ 45 = 3 × 3 × 5

∴ $3\sqrt{45}=3\sqrt{(3)(3)(5)}$

→ Take the two 3 out by one 3

∴ $3\sqrt{45}=3(3)\sqrt{5}$

→ Multiply the numbers out the root

∴ $3\sqrt{45}=9\sqrt{5}$

∴ The simplest radical form is $9\sqrt{5}$

8 0

3 years ago

Brainlist if right no lnks

zloy xaker [14]

Answer:∠1 and ∠5

Step-by-step explanation:

(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.

(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.

(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.

(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.

5 0

2 years ago