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Liula [17]
2 years ago
15

If Mrs Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups

of 5 students each,2 students are left over. What is the least number of students the class could have ?
Mathematics
1 answer:
guapka [62]2 years ago
6 0
The question means that when the number is 1 more than a multiple of 4 and two more than a multiple of 5. Write out multiples of 4 with one added on to them.
5,9,13,17,21,
Then write out multiples of 5 with one added on to them
7,12,17,22,
The smallest number that both lists share is 17, so that is the answer

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"Which of the following are continuous functions? (Select all that apply.)
Natasha2012 [34]

Answer:

  □ The temperature at a specific location as a function of time.

  □ The temperature at a specific time as a function of the distance due west from New York City.

  □ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

Taxi charges tend to increment according to a rate schedule. That is, for each passing minute or fraction of a mile, the amount due jumps to a new value. We'd have to say those are discontinuous.

The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

8 0
2 years ago
A bridge hand in which there is no card higher than a nine is called a Yarborough. Specify an appropriate sample space and deter
Vilka [71]

Answer:

The probability of Yarborough when you are randomly dealt 13 cards out of a well-shuffled deck of 52 card is 0.000547.

Step-by-step explanation:

The number of ways you  can choose a set of 13 different cards from a deck of 52 cards is given by 52P13.

Hence the unordered sample space has 52P13 equally likely outcomes. The number of outcomes with no card above a nine is 32P13.

This leads to the same value for the desired probability of a Yarborough:

32P13 / 52P13  = 0.000547.

3 0
2 years ago
Explain why the vertical line test is used to determine if a graph represents a function.
Aleksandr [31]
Hi there Mary Dominguez, So what a vertical line test down is to find out if a particular graph is a function or not. What you do is take a vertical strait line and move it right to left or left to right, depending on your preference, along the X axis. The reason this works is a function can not have an x that has 2 different y values. If we use the vertical line test on a graph with say a graph that has (2,3) and (2,4) we can use the vertical line test and see that the line hits 2 points at once which means its not a function :)
4 0
2 years ago
Read 2 more answers
The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m°
natulia [17]
Slope of AB = (5 - 2)/(7 - 4) = 3/3 = 1
slope of BC = (2 - 2)/(4 - 9) = 0

m<span>∠ABC = arctan 1 = 45°

</span>
4 0
2 years ago
Select the coordinates of two points on the line y= 8
notsponge [240]
The answer for this is (0,8) and (8,0)
7 0
2 years ago
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