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luda_lava [24]
3 years ago
10

A matchbox is 5cm by 8cm by 2cm. A carton is 20 cm by 40 cm by 20 cm

Mathematics
1 answer:
Ivahew [28]3 years ago
5 0
First, we need to check whether the carton can be fully filled. Every side can be totally divided by the side of match box. So the total volume of carton divide the volume of matchbox is the answer. 20*40*20/(5*8*2)=200.
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Suppose 2' is a normally distributed random variable with ft = 10.3 and 0 = 3.8. For the following probability,draw an appropria
TiliK225 [7]

GIVEN

The following values are given:

\begin{gathered} \mu=10.3 \\ \sigma=3.8 \end{gathered}

SOLUTION

The z-score for the x values 9 and 14 can be calculated using the formula:

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

For x = 9:

\begin{gathered} z=\frac{9-10.3}{3.8} \\ z=-0.34 \end{gathered}

For x = 14:

\begin{gathered} z=\frac{14-10.3}{3.8} \\ z=0.97 \end{gathered}

The probability can be calculated as follows:

P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671

The probability is 0.4671.

8 0
1 year ago
For their twentieth wedding anniversary, Richard and Sylvia had a party for several of their best friends. Things were going alo
kompoz [17]

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

to

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

8 0
3 years ago
John kept track of how many baskets were made in a basketball game. After 4 minutes, 5 baskets were made. How long did it take u
Rus_ich [418]
C 12 minutes is the correct answer. Hope this helps :)
8 0
3 years ago
Read 2 more answers
Can u solve the answer
pickupchik [31]

Answer:

She needs 50 ft² of wood to cover the table

Step-by-step explanation:

You need to know the formula for area of a trapezoid, which is

A = (B1 + B2)h/s     (add the bases together, multiply by the height, then divide

                                by 2)

We are given B1 = 12, B2 = 8, and h = 5, so plug them in and simplify

A = (12 + 8)(5)/2

 

    A = (20)(5)/2

       A = 100/2

         A = 50 ft²

5 0
3 years ago
Philip has $2,000 and spend $23.75 on supplies. He divides the remaining amount equally among his 8 employees. How much doeseach
liraira [26]
Take 2,000 - 23.75
1976.25
then take 1976.25 divided by 8

Rounds to $247. 03
4 0
3 years ago
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