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To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.

AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x -----> the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

$y=\frac{3x}{0.014}$

For x=25

substitute

$y=\frac{3(25)}{0.014}$

$y=5,357\ bees$

therefore

There are about 5,357 bees in the hive

6 0

4 years ago

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A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

a)

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

$H_1: \mu < 7.4$

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0

2 years ago

I AM VERY DESPERATE NOW!!! I HAVE ASKED THIS SAME QUESTION 3 TIMES AND NOBODY HAS BEEN ABLE TO ANSWER IT. PLEASE HELP, SOMEONE!!

Alexandra [31]

Answer:

Interest rate is 5.25% a year.

Step-by-step explanation:

r = (1/54)((22252.5/18000) - 1) = 0.004375

r = 0.004375

Convert decimal to percentage

R = 0.004375 * 100 = 0.4375%/month

Calculate annual rate

0.4375%/month × 12 months/year = 5.25% per year.

8 0

3 years ago

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What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.

VashaNatasha [74]

Answer:

F. 8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

BD/DE = AD/BD

h/4 = 16/h

h^2 = 64 . . . . . . . multiply by 4h

h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

Comment on this geometry

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0

3 years ago

What is (6-6)+7x7+4= ?

laiz [17]

<h2>Anser</h2>

53

Step-by-step explanation:

(6-6)+7×7+4

=0+7×7+4

=7×7+4

=49+4

=53

8 0

3 years ago

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