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Mice21 [21]
3 years ago
9

Which is the solution to the inequality y+15 <3?

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

To solve an equation or inequality, you can add the same value to both sides of the expression. Here, it is convenient to choose that value to be the opposite of the constant (+15) added to y, so that constant is replaced by zero.


  y + 15 - 15 < 3 - 15 . . . . . we have added -15 to both sides

  y < -12 . . . . . . . . . . . . . . . the result of simplifying. This is your solution.

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Pls do it for me thank you so much
Bond [772]

Answer:

(a) Attached to this response.

(b)

<em>(i)</em> <em>0 cups = 0.275</em>

<em>(ii) 4 cups = 0.125</em>

<em>(iii) 8 cups = 0.025</em>

<em />

<em />

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

<em>(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;</em>

the relative frequency of 0<em> = 0.275</em>

<em></em>

<em>(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;</em>

the relative frequency of 4<em> = 0.125</em>

<em>(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;</em>

the relative frequency of 8<em> = 0.025</em>

<em></em>

<em></em>

<em></em>

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5 0
3 years ago
Solve the equation √x+9 - 9 = -4 show each step of your solution process
Serjik [45]

Answer:

16

Step-by-step explanation:

Start by adding 9 to both sides, obtaining:  √(x + 9) = 5.

Square both sides, obtaining:   x + 9 = 25.

Subtract 9 from both sides:  x = 16

Note that √(16+9) - 9 = -4, as required.


3 0
3 years ago
Discuss the different kinds of real numbers. In your answer
zubka84 [21]

Answer:

Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.

Step-by-step explanation:

5 0
2 years ago
What is the image point of (8, 4) after a translation left 2 units and down 4 units?
tino4ka555 [31]

Answer:

(6, 0 )

Step-by-step explanation:

A translation to the left means subtract 2 from the x- coordinate

A translation down means subtract 4 from the y- coordinate

Then

(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )

5 0
2 years ago
Read 2 more answers
What is the slope of the line passing through the points (3,10)and(1,15)
goldfiish [28.3K]
Y^2-y^1/x^2-x^1
15-10/1-3
slope = -5/2
5 0
3 years ago
Read 2 more answers
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