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1 year ago

Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.

Mathematics

2 answers:

Shalnov [3]1 year ago

7 0

Answer:

= 27.2727% decrease

Step-by-step explanation:

Thepotemich [5.8K]1 year ago

3 0

Answer:

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Step-by-step explanation:

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A shipment of 205 Otter Box covers for i-phones has just arrived. The total invoice (excluding tax, shipping, etc.) is $ 4,829.7

Harrizon [31]

45 otter box defender series covers are in the shipment

<h3><u><em>Solution:</em></u></h3>

Let the number of Otter Box Defender cover be x

Let the number of Otter Box Case cover be y

Cost of 1 Otter Box Defender cover = $ 39.95

Cost of 1 Otter Box Case cover = $ 18.95

<em><u>Given that shipment of 205 Otter Box covers for i-phones has just arrived</u></em>

Therefore,

number of Otter Box Defender cover + number of Otter Box Case cover = 205

x + y = 205 ---------- eqn 1

<em><u>Given that total invoice is $ 4829.75</u></em>

Therefore,

number of Otter Box Defender cover x Cost of 1 Otter Box Defender cover + number of Otter Box Case cover x Cost of 1 Otter Box Case cover = 4829.75

$x \times 39.95 + y \times 18.95 = 4829.75$

39.95x + 18.95y = 4829.75 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 205 - y ----- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

39.95(205 - y) + 18.95y = 4829.75

8189.75 - 39.95y + 18.95y = 4829.75

-21y = 4829.75 - 8189.75

-21y = -3360

From eqn 3,

x = 205 - y

x = 205 - 160

Thus 45 otter box defender series covers are in the shipment

6 0

2 years ago

An issue of Taunton's Fine Woodworking included plans for a hall stand. The total height of the stand is 5912 59 1 2 inches. If

evablogger [386]

The length if the upper portion of the stand is 33. 56 inches

<h3>How to determine the length</h3>

The formula for the finding the length is given thus;

Total height = length of upper portion + length of base

Where

Length of base = 257/16

Total height = 591/2

Length of upper portion = total height - length of base

= 118/2 - 407/16

= 59 - 25. 44

= 33. 56 inches

Thus, the length if the upper portion of the stand is 33. 56 inches

Learn more about a rectangle here:

brainly.com/question/24571594

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7 0

1 year ago

I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

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3 0

1 year ago

HELP PLEASE, GIVING ALOT OF POINTS! also step by step

levacccp [35]

Given that : Tom bought total = 47 jigsaw puzzles.

Number of pieces in each puzzle = 70 pieces.

We need to find the number of pieces in all 47 jigsaw puzzles.

<em>In order to find the number of pieces in all 47 jigsaw puzzles, we need to multiply 47 jigsaw puzzles by 70 pieces each.</em>

We get

47 × 70 = 3290 pieces.

<h2>Therefore, Tom got total 3290 pieces all in 47 jigsaw puzzles.</h2>

7 0

2 years ago

Read 2 more answers

The access code for a car's security system consists of digits. The first digit cannot be and the last digit must be . How many

Semenov [28]

Complete Question

The access code for a car's security system consists of 6 digits, the first digit cannot be 8 and the last digit must be odd, how many different codes are available

Answer:

There are 450000 possible different codes

Step-by-step explanation:

Given

Code = 6 digits

First = All but 8

Last = Odd

Required

Determine the possible number of codes

Analyzing each individual digit that makes up the code.

First: can be any of 0,1,2,3,4,5,6,7,9 ----- 9 possible numbers

Second, Third, Fourth and Fifth can be any of 0,1,2,3,4,5,6,7,8,9 since there's no restriction ----- 10 possible numbers

Last can be any of: 1,3,5,7,9 ----- 5 possible numbers

So, the number of possible selections is:

$Selection = 9 * 10 * 10 * 10 * 10 *5$

$Selection = 450000$

<em>Hence, there are 450000 possible different codes</em>

7 0

2 years ago