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pogonyaev
3 years ago
15

A consumer magazine rates televisions by identifying three levels of​ price, four levels of repair​ frequency, two levels of​ fe

atures, and three levels of picture quality. How many different ratings are​ possible?
Mathematics
2 answers:
Ber [7]3 years ago
8 0
You multiply the numbers to find the total possibilities.
3 * 4 * 2 * 3 =72 different possibilities
natita [175]3 years ago
7 0
12 or maybe 7 are possible
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Matilda, Tanya and Renee are auditioning for a play. In how many ways can the girls fill the roles of a grandmother, mother, and
solmaris [256]
The girls fill the roles of a grandmother, mother, and daughter by permutation. It is a way, especially one of several possible variations, in which a set or number of things can be ordered or arranged. Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
5 0
4 years ago
Read 2 more answers
In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?
Marizza181 [45]

Given:

In triangle FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.

To find:

The length of FH.

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle FJH,KG\parallel JH.

Using BPT, we get

\dfrac{FK}{KJ}=\dfrac{FG}{GH}

\dfrac{3}{15}=\dfrac{4}{GH}

On cross multiplication, we get

3\times GH=4\times 15

GH=\dfrac{60}{3}

GH=20

Now,

FH=FG+GH

FH=4+20

FH=24

Therefore, the length of FH is 24 units.

6 0
3 years ago
A tourist in Ireland wants to visit six different cities. How many different routes are possible?
hammer [34]

Answer:

6P6 = \frac{6!}{(6-6)!}=\frac{6!}{0!}= 6! =6*5*4*3*2*1=720

D. 720

Step-by-step explanation:

For this case we have 6 different cities that needs to be ordered in different ways. And the best way to solve this problem is using permutations since we can't repeat the route.

We need to remember the concept of permutation.

A permutation, known as "arrangement number"  "is a rearrangement of the elements of an ordered list S into a one-to-one correspondence with S itself". Where S correspond to the sample space. And the formula is given by:

nPX = \frac{n!}{(n-x)!}

And for this case we have a total of 6 cities and we want to know how many routes with these 6 cities we can create, so then n=6 and k=6 and if we replace we got:

6P6 = \frac{6!}{(6-6)!}=\frac{6!}{0!}= 6! =6*5*4*3*2*1=720

And then we have 720 ways to visit six different cities. So the best option is:

D. 720

7 0
3 years ago
A skateboard ramp has a height of 3 feet and a horizontal of 7 feet. What is the angle of 0 of the ramp?
lisov135 [29]
When we have a right triangle with sides and angles, we use basic trigononemetry.  Since we know the vertical leg (height of ramp) and horizontal leg (base length of ramp), we use the inverse tangent function to find the angle.


θ = tan-1(height of ramp / base of ramp) θ = tan-1(2.5 / 6) θ = tan-1(5 / 12) 
3 0
4 years ago
The surface area of a sphere can be approximated as follows:
notsponge [240]

<em><u>Question:</u></em>

The surface area of a sphere can be approximated as follows:

Surface area = 4πr2;

where r is the radius of the sphere;

π is a constant that is roughly equal to 3.

Calculate the surface area of a sphere with a radius of 7 meters using the simple approximation above.

<em><u>Answer:</u></em>

<h3>The surface area of a sphere  is 588 square meter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of a sphere is given as:</u></em>

Surface\ area = 4 \pi r^2

Where, "r" is the radius of sphere

π is a constant that is roughly equal to 3

From given,

Radius = 7 meter

<em><u>Substitute r = 7 in given formula</u></em>

Surface\ Area = 4 \times 3 \times 7^2\\\\Surface\ Area = 4 \times 3 \times 49\\\\Surface\ Area = 12 \times 49\\\\Surface\ Area = 588

Thus the surface area of a sphere  is 588 square meter

6 0
3 years ago
Read 2 more answers
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