All categories

3 years ago

As an estimation we are told £3 is €4.

Mathematics

1 answer:

Andru [333]3 years ago

6 0

<h2>Greetings!</h2>

Answer:

€16.40

Step-by-step explanation:

First, we need to divide £12.30 by 3 to find out how many groups of 3 there is:

12.3 ÷ 3 = 4.1

Now we can multiply this by 4 to find the euro equivalent:

4.1 * 4 = 16.4

So £12.30 is €16.40

<h2>Hope this helps!</h2>

You might be interested in

Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9

mart [117]

Answer:

$\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}$

Step-by-step explanation:

$\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9$

8 0

3 years ago

. Solve the following equations for x: 3x=30

pishuonlain [190]

$\mathcal \pink{Answer}$

$\mathcal \green{3x = 30}$

$\mathcal \blue{ \frac{3x}{3} = \frac{30}{3} }$

$\mathcal \red{x = 10}$

3 0

2 years ago

Read 2 more answers

A space shuttle orbiting Earth travels a distance of about 64 miles in 8 seconds. What is the average speed of the space shuttle

nordsb [41]

Answer:

8 mil/sec

Step-by-step explanation:

64 divided by 8

3 0

2 years ago

olisa charges $12.00 an hour to fix lawn mowers. if olisa works 2 1/4 hours on a lawn mover, how much should she charge?

Sergio039 [100]

12*2(1/4) = 27
Olisa should charge $27.

3 0

2 years ago

Read 2 more answers

Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effect

matrenka [14]

Answer:

a) Null hypothesis: the drug is equally effective for men and women (company's claim)

Alternative hypothesis: the drug effectiveness significantly differs for men and women.

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

b) If the P-value is smaller than the significance level, the null hypothesis is rejected. If not, the null hypothesis failed to be rejected.

c) In the explanation.

d) As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.

The company's claim is rejected.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim of the company, will be stated in the null hypothesis. We will test if there is evidence against that claim to reject it or not.

Then, the test claim is that the drug effectiveness significantly differs for men and women.

The null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1 (women), of size n1=100 has a proportion of p1=0.38.

The sample 2 (men), of size n2=200 has a proportion of p2=0.51.

The difference between proportions is (p1-p2)=-0.13.

$p_d=p_1-p_2=0.38-0.51=-0.13$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{38+102}{100+200}=\dfrac{140}{300}=0.467$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.467*0.533}{100}+\dfrac{0.467*0.533}{200}}\\\\\\s_{p1-p2}=\sqrt{0.002489+0.001244}=\sqrt{0.003733}=0.061$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.13-0}{0.061}=\dfrac{-0.13}{0.061}=-2.1276$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(z$

As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.

6 0

3 years ago