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3 years ago

A right triangle has legs of lengths 14 and 16 inches. Find the length of

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Answer:

about 21.3

Step-by-step explanation:

I found the hypotenuse value by doing the Pythagorean theorem.

a^2+b^2=c^2.

"a" and "b" are the values of the legs, and "c" is the value of the hypotenuse. So, "a" is 14 and "b" is 16.

14^2+16^2=c^2

196+256=452.

Now, I found the square root of 452. The square root of 452 is 21.26029163. This value rounded to the nearest tenth is 21.3.

In conclusion, the length of the hypotenuse rounded to the nearest tenth is 21.3 inches.

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According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche

Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

6 0

3 years ago

A family restaurant chain wants to test the market for a new menu item: a grilled chicken sandwich with chipotle salsa. They are

Anni [7]

Answer:

Experimental units, factors & treatments in experiment.

Step-by-step explanation:

Experimental Units are the 60 restaurants.

Factors are the : Menu description & price

Treatments in experimental design : Healthy Low Price, Healthy Medium Price, Healthy High price & Value low price, Value medium price, Value high price.

4 0

3 years ago

What's 9+10?<br><br><br>(this sentence is here so I can ask this question)

kow [346]

Answer:

9 + 10 = 19

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A factory manager is packing engine components into wooden crates to be shipped on a small truck. The truck is designed to hold

Lemur [1.5K]

Answer: 63lbs

Step-by-step explanation:

The truck can only hold 16crates and each crate weigh 12lbs, the total weight of the 16 crates will be 12×16= 192lbs

This shows that the truck can only contain extra load of 1200lbs - 192lbs = 1008lbs (excluding weight of crates).

To get the shipment weigh close to the total of 1200lbs, the truck must be loaded with engine components not more than 1008lbs.

Since we have 16 crates to fill with engine components not more than 1008lb, each crates will therefore must not exceed 1008/16 pounds of engine components which is equivalent to 63lbs.

Therefore, the manager should instruct the workers to put 63lbs of machine components in "each crate" in order to get the shipment weight as close as possible to 1200 lbs.

6 0

3 years ago

Can someone please help I pay £100

Flura [38]

Answer:

The new points to the triangle will be:
$A(1,4)\\ B(1,1)\\ C(-1,1)$

Step-by-step explanation:

Because the reflection point is at $x=2$ , all x values will subtract their distances from $x=2$ to get their new values. The y values remain the same.