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choli [55]
1 year ago
10

you are taking a quiz that has 8 multiple-choice questions. if each question has 3 possible answers, how many different ways are

there to answer the test?
Mathematics
1 answer:
Andrew [12]1 year ago
6 0

There are 6561 different ways in total to respond to the multiple-choice test questions.

<h3>Define the term permutation?</h3>
  • The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation.
  • Simply said, a permutation is a term that refers to the variety of possible arrangements or orders.
  • The arrangement's order is important when using permutations.
  • Simply counting any number of ways that one or more things can be rearranged at once constitutes counting permutations.

The number of quiz question = 8.

Number of possible answer is = 3.

The entire test of 8 questions could be answered in one of three ways for each question, and each solution is independent of any other answers:

= 3*3*3*3*3*3*3*3

= 3^8 ways

= 6561 ways

Thus, there are 6561 different ways in total to respond to the multiple-choice test questions.

To know more about the permutation, here

brainly.com/question/1216161

#SPJ4

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Which of the following options is a root of the function? f(x) = (3x + 5) (x2 - 6x + 9)2
Alika [10]

Answer:

The roots of the function are x = -5/3 and 3. Select these.

Step-by-step explanation:

The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.

f(x) = (3x+5)(x2-6x+9)2 becomes f(x) = (3x+5)(x-3)^2

Set each factor equal to 0 and solve for x.

(3x+5)=0

3x = -5

x = -5/3

(x-3)^2 = 0

x - 3=0

x = 3

3 0
3 years ago
Question 11
Anarel [89]

Answer:

the trainee calculated the incorrect amount

It should be 0.5 mL

Step-by-step explanation:

The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.  

The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.

To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:

the volume needed = amount of the drug you need/ concentration of the drug

volume needed =  500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL

8 0
3 years ago
Question:
snow_tiger [21]

Answer:

A (first picture)

Step-by-step explanation:

Based on the picture, the lines are both perpendicular and the red line splits AB into two equal parts (bisects it), so it must represent the perpendicular bisector of AB.

5 0
2 years ago
ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help
anyanavicka [17]

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

4 0
2 years ago
You can only draw one unique isosceles triangle that contains an angle of 55°?
blsea [12.9K]

-- If the 55° angle is one of the two equal angles, then
the third angle is 70° .

-- If the 55° angle is the third angle, then each of the two
equal angles is 62.5° .

-- For either of these cases, there are an infinite number
of possible sets of side-lengths.

The statement in the question does not hold water.

6 0
3 years ago
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