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liberstina [14]
3 years ago
12

Dan goes to a bank to exchange some pounds (£) for euros (€). He has £400 which he wants to exchange. The bank only gives euros

in multiples of 5 euros. The exchange rate is £1 = €1.17 . Find the number of euros he receives and his change from £400 .
Mathematics
1 answer:
raketka [301]3 years ago
3 0
Multiply £400 to €1.17 and you get £468. Since Euros come in fives, he would receive €465 and have €3 change.
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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hop
Strike441 [17]

Answer: 25 + 3n

Step-by-step explanation:

Hi, the answer is lacking the last part:

<em>Write an expression for the amount of money he makes this week. </em>

So, to answer this we have to write an expression:

The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.

Mathematically speaking:

25 + 3n

Feel free to ask for more if needed or if you did not understand something.  

7 0
3 years ago
Could I get help on some algebra? I need the explanation to know how to do it. +45 points
Fiesta28 [93]

Answer:

C

Step-by-step explanation:

A is right, D is right because they are on the outside and on different sides, B is actually right since they are on the inside and on different sides, so that leaves c, so this has to be the wrong one because they are not both interior since 5 is on the outside and 6 is inside even if they are both on the same side

6 0
2 years ago
find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4
Mars2501 [29]

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{2} x - 4 ← is in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation of perpendicular line

4 0
3 years ago
PLEASE HELP, THANK YOU!!!
gladu [14]
5500+100.50x=4597+<span>175.75x
</span>175.75x-100.50x=5500-4597
75.25x= 903
x=903/75.25
x=12
for 12 ton of sugar <span>the two companies charge the same</span>
3 0
3 years ago
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