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Margaret [11]
3 years ago
14

The sum of a number z and 4 is less than 12.

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

The answer is A x+4<12

this is due to the fact that if we use key words, sum means addition so the answer is x+4<12

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A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
AnnZ [28]

Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3 0
3 years ago
A map scale is 1 inch:50 miles. Two cities are 450 miles apart. How far apart are the cities on the map
ArbitrLikvidat [17]
450÷50=9
Your answer would be 9inches because all you have to do is divide 450 by 50 and you get the number of inches
5 0
3 years ago
Find each one of the indicated angle measures.
PtichkaEL [24]

Answer:

∠5 = 71° & ∠8 = 109°

Step-by-step explanation:

∠1 = ∠5 (corresponding angle)

∠5 = 71°

∠5 + ∠8 = 180° (angles in a striaght line is 180°)

71° + ∠8 = 180°

∠8 = 109°

7 0
3 years ago
Find the surface area. round to the nearest hundredth when necessary.
Dmitry_Shevchenko [17]

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

8 0
3 years ago
PLEASE HELP-<br><br> (-2, -7) <br><br><br> (7, 2) <br><br><br> (2, 7) <br><br><br> (7, -2)
choli [55]
A=(7,3) b=(7,-2) c=(1,-2)
6 0
3 years ago
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