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Deffense [45]
3 years ago
10

For a store contest, 4 out of every 65 people who visit the store will receive a free DVD if 455 people visit how many DVDs were

given away
Mathematics
2 answers:
harina [27]3 years ago
8 0
28 people will get a free DVD because 455/65=7 and 7*4=28
insens350 [35]3 years ago
7 0

Answer:

28 DVDs will be distributed.

Step-by-step explanation:

For a store contest out of 65 people 4 people receive a free DVD.

We have to calculate the number of DVDs distributed when 455 people visit the store.

We will apply the unitary method to find the number of DVDs distributed.

∵ When 65 people visit the store number of DVDs = 4

∴ when 1 person visit the store then number of DVDs distributed = \frac{4}{65}

∴ When 455 people visit the store then DVDs distributed = \frac{4\times 455}{65}

= 28

Therefore, 28 DVDs will be distributed.

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Find the distance between points P(5,6) and Q(3,9) to the nearest tenth
Delicious77 [7]

\sqrt{(5 - 3)^{2}  + (6 - 9)^{2} } = distance
3 0
4 years ago
A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin
maks197457 [2]

Answer:

(a) \sum x_i=56.68 and \sum x_i^2=197.46

(b) The sample variance is s^2=0.530 and the sample standard deviation is s=0.728

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68

and the sum of their squares is

\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46

(b)

The sample variance, denoted by s^2, is given by

s^2=\frac{S_{xx}}{n-1}

where S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}

Applying the above formula we get that

S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482

s^2=\frac{8.482}{17-1}=0.530

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

s=\sqrt{s^2}

Applying the above formula we get that

s=\sqrt{0.530}=0.728

3 0
3 years ago
Mavis wants to buy a book. She has $25, which is $9 less than she needs.
Airida [17]

Answer:

$34.00

Step-by-step explanation:

Add 9 to 25 to find your answer

3 0
3 years ago
Seven less than one half of x
damaskus [11]

Answer:

X/2-7

Step-by-step explanation:

any number which is said to be less than another number let's say b should be subtracted from b.

7 0
3 years ago
Scores on the SAT college entrance test in a recent year were roughly Normal with mean 1012.5 and standard deviation 184.9. You
kondor19780726 [428]

Answer:

By the Central Limit Theorem, the mean of the average scores you get will be close to 1012.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean score of the population:

1012.5

If you do this many times, the mean of the average scores you get will be close to

By the Central Limit Theorem, the mean of the average scores you get will be close to 1012.5.

6 0
3 years ago
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