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Alexxandr [17]
2 years ago
13

Increase £500 by 3.2% how do you work it out

Mathematics
1 answer:
yan [13]2 years ago
8 0

£500·(1+3.2%)=£500 + £500·3.2%=£500 + £500·3.2/100 = £500 + £5·3.2 = £500 + £16=£516.

Green eyes.

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64 bulbs, you keep on adding 8 to the number of bulbs 
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3 years ago
3. In determining food spending, it was found that the average meal in Albany is normally distributed, with a mean of $40 and a
Zarrin [17]

Answer:

a) P(X < 40) = 0.5

b) P(38 < X < 42) = 0.69143

c) P(X > 35) = 0.89435

d) P(X > 51) = 0.0029798

e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data. = $34.872

f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data = $33.42

g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data. = $38.988

Step-by-step explanation:

Z score formula = Z score = x - μ/σ

Mean = $40

Standard deviation = $4

a) P(X < 40)

Z score = x - μ/σ

= 40 - 40/4

= 0

Determining the Probability value from Z-Table:

P(X < 40) = 0.5

b) P(38 < X < 42)

For X = 38

Z score = x - μ/σ

= 38 - 40/4

= -0.5

Determining the Probability value from Z-Table:

P(X = 38) = 0.30854

For X = 42

Z score = x - μ/σ

= 42 - 40/4

= 4

Determining the Probability value from Z-Table:

P(x = 42) = 0.99997

Hence, P(38 < X < 42)

P(X = 42) - P(X = 38)

0.99997 - 0.30854

= 0.69143

c) P(X > 35)

Z score = x - μ/σ

= 35 - 40/4

= -1.25

Determining the Probability value from Z-Table:

P( X < 35) = 0.10565

P( X > 35) = 1 - P(X < 35)

1 - 0.10565

= 0.89435

d) P(X > 51)

Z score = x - μ/σ

= 51 - 40/4

= 2.75

Determining the Probability value from Z-Table:

P( X < 51) = 0.99702

P(X > 51) = 1 - P(X < 51)

= 1 - 0.99702

= 0.0029798

e) Find a meal cost which happen to be cheaper than 10% of the meals based on a given data.

z score for 10th percentile = -1.282

Z score formula = Z score = x - μ/σ

Mean = $40

-1.282 = x - 40/4

-1.282 × 4 = x - 40

-5.128 + 40 = x

$34.872

The meal cost which happen to be cheaper than 10% of the meals based on a given data is $34.872

f) Find a meal cost which happen to be in the 5% of the most expensive based on a given data

Z score for 5th percentile = -1.645

Z score formula = Z score = x - μ/σ

Mean = $40

-1.645 = x - 40/4

-1.645 × 4 = x - 40

-6.58 + 40 = x

$33.42

The meal cost which happen to be in the 5% of the most expensive based on a given data is $33.42

g) Find a meal costs which happen to be 40% symmetrically around the mean value based on a given data.

Z score for 40th percentile = -0.253

Z score formula = Z score = x - μ/σ

Mean = $40

-0.253 = x - 40/4

-0.253 × 4 = x - 40

-1.012 + 40 = x

$38.988

7 0
3 years ago
Calculate S_24 for the arithmetic squence in which a_13= 1.9 and the common difference is d=3.7
zloy xaker [14]

Answer:

D. 1.2

Step-by-step explanation:

The sum of an arithmetic sequence is the product of the average term value and the number of terms.

The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).

We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...

... (-1.8 + 1.9)/2 = 0.05

The product of this value and the number of terms (24) is ...

... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence

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Westkost [7]
Philip equation
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2 years ago
Solve for y ; -2y - 2x =4
Deffense [45]
I think this is what you want to do

Your welcome

4 0
2 years ago
Read 2 more answers
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