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soldi70 [24.7K]
3 years ago
7

Work out the length x. 4.5 cm 11 cm

Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

12.3

Step-by-step explanation:

A^2 + B^2 = C^2

11^2 + 4.5^2 = C^2

132 + 20.25 = C^2

152.25 = C^2

Square root of 152.25 = 12.3

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Lit

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If 265 identical boxes, each containing 24 books, weighs a total of 12,720 pound, how much does each book weigh?
Margarita [4]
12,720/265 = 48

48/24 = 2

2 pounds each
7 0
3 years ago
Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost
Tju [1.3M]

The advance tickets were 35 in number and the same day ticket will be 30 in number.

<h3>What will be the number of tickets?</h3>

To find out the number of the tickets sold we will give some notations so the notations are as follows:-

A= Cost of advance tickets=$30

S= cost of same-day ticket-=15

N_A= Number of the advance tickets

N_S=Number of same-day tickets.

The equations made by the given data will be:-

30N_A+15N_S=1500\\\\\\N_A+N_S=65

By solving the above equations:-

N_S=30\ \ \ \ \  \ N_A=35

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.

To know more about linear equations follow

brainly.com/question/14323743

#SPJ1

7 0
2 years ago
24. A political discussion group consists of 30 Republicans,
Makovka662 [10]

Answer:

12 /67

Step-by-step explanation:

I added everything up to get 67 then I added independent and green together to get 12

7 0
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