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3 years ago

Write "x is less than or equal to zero" three different ways.

Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

The expression "x is less than or equal to zero" can be written in several forms; some examples, however, could be:

x ≤ 0
0 ≥ x
(You could substitute any number in place of 3 for the below)
3 - 3 ≥ x

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Please anyone help me on this question

vazorg [7]

Answer:

a) 60

b) 0.24

c) 150

Step-by-step explanation:

a) P(green) = ⅕

Expected no. = 300 × ⅕

= 60

b) total = 300

P(purple) = 72/300

= 6/25 = 0.24

c) P(blue) = 45/300

= 3/20 = 0.15

Expected no.: 1000 × 0.15

= 150

5 0

3 years ago

Question 9

kiruha [24]

The slope of the linear equation is 20 and the y-intercept is 150

<h3>What is a Slope?</h3>

Slope measures how steep a straight line is. It is described as rise over run.

The slope of the linear equation can be found as follows;

He opens the account with $150 and he plans to save $20 each week. Therefore,

let

x = number of weeks

Therefore,

y = 20x + 150

where

y = amount in his account after x number of weeks.

Using the slope intercept equation,

<h3>Slope intercept equation:</h3>

y =mx + c

where

m = slope

c = y-intercept

Therefore, the slope of the linear equation is 20 and the y-intercept is 150

learn more on slope here: brainly.com/question/8057577

7 0

2 years ago

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n

Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is: $A = P(1+r)^t$

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> $\frac{3.5}{100}$ -> 0.035

Lets plug in the values:

$A=12,000(1+0.035)^7$

$A=15,267$

The population after 7 years will be 15,267.

8 0

3 years ago

Find the exact value of sin 105 degrees

STALIN [3.7K]

Answer:

$\frac{\sqrt{6}+\sqrt{2}}{4}$

Step-by-step explanation:

I'm going to write 105 as a sum of numbers on the unit circle.

If I do that, I must use the sum identity for sine.

$\sin(105)=\sin(60+45)$

$\sin(60)\cos(45)+\sin(45)\cos(60)$

Plug in the values for sin(60),cos(45), sin(45),cos(60)

$\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\frac{1}{2}$

$\frac{\sqrt{3}\sqrt{2}+\sqrt{2}}{4}$

$\frac{\sqrt{6}+\sqrt{2}}{4}$

4 0

3 years ago

Read 2 more answers

Solve the equation. \dfrac34 =m+\dfrac14 4 3 =m+ 4 1 start fraction, 3, divided by, 4, end fraction, equals, m, plus, start

RSB [31]

Answer:

$\boxed{\dfrac{1}{2} = m}$

Step-by-step explanation:

Given equation:

$\dfrac{3}{4} = m + \dfrac{1}{4}$

<u>Step-1: Subtract 1/4 both sides</u>

$\dfrac{3}{4} = m + \dfrac{1}{4}$

$\dfrac{3}{4} - \dfrac{1}{4} = m$

$\dfrac{2}{4} = \boxed{\dfrac{1}{2} = m}$

3 0

2 years ago