A cardboard box without a lid is to have a volume of 4,000 cm3. Find the dimensions that minimize the amount of cardboard used. (Let x, y, and z be the dimensions of the cardboard box.)

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Answer 1

Answer: 492sjnenkdoekkwjdjdkww

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Least number by which 1375 is divided to get a perfect sqaure

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Answer:

Step-by-step explanation:

$1375 = 5 * 5 * 5 * 11 \n = {5}^(2) * 55 \n$

Here 5 is squared and 55 is not.

Hence, the answer is 55

Im still stuck.... help? :',)

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The answer should be B.

This is because if you multiply, you’ll get the answer of 3/8 which is less than 1/2 (4/8) but not close to zero, thus leaving B as the best option.

Hope this helps!

2. Customers who purchase a certain model of car can order an engine in any of three sizes. Of all cars of this type sold, 45% have a small engine, 35% have a medium-sized engine, and 20% have a large engine. Of cars with the small engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the large engine fail. If a randomly chosen car of this model fails an emission test within two years, what is the probability it is a car with a small engine

Answers

Answer: 0.1397 ; 0.385

Step-by-step explanation:

Given the following :

Small engine population = 45% ; 10% fail

Medium engine population = 35% ; 12% fail

Large engine population = 20% ; 15% fail

Probability that a randomly chosen car fails emission test :

P(failure) = Σ(population % * failure %)

P(failure) = (45%*10%) + (35%*12%) + (20%*15%)

P(failure) = 0.045 + 0.042 + 0.03 = 0.117

B) what is the probability it is a car with a small engine

P = small engine cars with emission failure / total emission failure

= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846

= 0.385

circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what is the length of side st?

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Answer:

The length of side st is 15.

Step-by-step explanation:

A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.

Then,

/rn/ = /rp/

/tm/ = /tn/

/sm/ = /sp/

But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.

Then,

/rt/ = /rn/ + /tn/

17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)

⇒ /tn/ = 10

Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)

So that,

/st/ = /sm/ + /tm/

= 5 +10

/st/ = 15

The length of side st is 15.

If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left

Answers

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

9,13,43,55 what is the mean absolute deviate (MAD) of their ages

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The mean absolute deviation (MAD) of their ages is 19 and this can be determined by using the formula of mean absolute deviation.

Given :

Ages - 9 , 13 , 43 , 55

The meanabsolute deviation is given by the formula:

$\rm MAD = (1)/(n)\sum^(n)_(i=1)|x_i-m(X)|$

where n is the total number of data values, $x_i$ is the data value in the set, and m(X) is the average value of the data set.

So, to find MAD first evaluate the value of m(x).

$\rm m(X) = (9+13+43+55)/(4)$

m(X) = 30

Now, the MAD of their ages is:

$\rm MAD = (|9-30|+|13-30|+|43-30|+|55-30|)/(4)$

$\rm MAD=(21+17+13+25)/(4)$

MAD = 19

So, the mean absolute deviation (MAD) of their ages is 19.

For more information, refer to the link given below:

brainly.com/question/7851768

Answer:

The mean absolute deviation of this data $\{9,13,43,55\}$ is $MAD =19$ .

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include: