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alekssr [168]
2 years ago
12

A plane ticket barcelona costs £175 the price decreases by 6% work out the new price

Mathematics
2 answers:
Bond [772]2 years ago
6 0

Answer: £164.50

175 decreased by 6% = 164.5

Absolute change (actual difference):

164.5 - 175 = - 10.5

Step-by-step explanation:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% × 175 =

(1 - 6%) × 175 =

(100% - 6%) × 175 =

94% × 175 =

94 ÷ 100 × 175 =

94 × 175 ÷ 100 =

16,450 ÷ 100 =

164.5

£164.50

Firdavs [7]2 years ago
3 0

Answer: £164.5

Step-by-step explanation:

Given ticket cost at = £175

6 percent decrease = 6/100 × £175

=£10.5

To get the Current cost of ticket, we then subtract 6% decrease from the former cost of ticket:

= £175 - £10.5

=£164.5

I hope this helps.

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In a small community, a survey on the favorite television programs of 63 housewives was made. Based on the survey, 38 housewives
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Answer:

x = 4

Step-by-step explanation:

3 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
2 years ago
Assume that the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are norma
kotykmax [81]

Answer:

0.00

Step-by-step explanation:

If the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed, to calculate the probability that a test taker scores at least 1600 on the test, we should first to calculate the z-score related to 1600. This z-score is z=\frac{1600-1010}{200}=2.95, then, we are seeking P(Z > 2.95), where Z is normally distributed with mean 0 and standard deviation 1. Therefore, P(Z > 2.95) = 0.00

4 0
2 years ago
Read 2 more answers
On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders
atroni [7]

Answer:

There are 46 more skiers than snowboarder

Step-by-step explanation:

Given

Ratio of Snowboarders to Skiers

On Friday:

Ratio = 8 : 3

On Saturday:

Ratio = 4 : 7

Population = 168

Required

Determine the difference in the number of skiers and snowboarders on Saturday

On Saturday, we have

Ratio = 4 : 7

Calculate Total

Total = 4 + 7

Total = 11

Calculate the number of skiers

Skiers = \frac{7}{11} * 168

Skiers = \frac{1176}{11}

Skiers = 107 (Approximated)

Calculate the number of snowboarders

Snowboarders = \frac{4}{11} * 168

Snowboarders = \frac{672}{11}

Snowboarders = 61 (Approximated)

Calculate the difference

Difference = 107 - 61

Difference = 46

<em>Hence, there are 46 more skiers than snowboarder</em>

6 0
2 years ago
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BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

\frac{sin\alpha }{4} = \frac{sin90}{9.7}

Multiply 4 and sin90 and then divide the product by 9.7

Use sin^{-1} on calculator to convert the answer into degrees

5 0
2 years ago
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