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3 years ago

In the class interval 5-10, find the

Mathematics

2 answers:

stealth61 [152]3 years ago

5 0

(i) lower limit = 5
(ii) upper limit = 10
(iii) class mark = 15
(iv) class size = 5

slava [35]3 years ago

3 0

Answer:

lower limit = 5

upper limit = 10

class mark = lower limit + upper limit ÷ 2 = 7.5

class size = upper limit - lower limit

= 10-5 = 5

Step-by-step explanation:

I hope this help you have an great day and safe health

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A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Ans

Oxana [17]

Answer:

87.5 %

Step-by-step explanation:

64 ounces ................... 100%

(64-8) ounces ..................x%

x = (64-8)×100/64

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3 years ago

Indentify the range, y=2x + 6

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3 years ago

Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P

scoray [572]

Answer:

$18\sqrt{10}$ units$

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

$=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}$

To minimize D, we find its derivative

$\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6$

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

$D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units$

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4 years ago

Determine whether each of these sets is countable oruncountable. For those that are countably infinite, exhibit

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Answer:

Answers are given below.

Step-by-step explanation:

a) one-to-one correspondence between the set of positiveintegers and that set.

Whenever we have one to one correspondence with positive integers, the set is countable and here infinite.

b) integers divisible by 5 and not 7 ..This set is all integers divisible by 5 but not by 7. This is a discrete set and hence countable and infinite.

c) the real numbers with decimal representationsconsisting of all 1’s

-- This cannot be counted and hence uncountable but infinite.

d) the real numbers with decimal representationsconsisting of all 1’s or 9’s

-- This is also uncountable but infinite.

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