which number line represents the solution set for the inequality
3(8-4x) < 6(x-5) ?

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

2 dice = 12 numbers

1, 2, 3, 4 and 1, 2, 3, 4 are less than five.

This is a total of 8 numbers.

[tex]\frac{8}{12} =\frac{8/4}{12/4}=\frac{2}{3}[/tex]

The probability that both numbers are less than 5 on throwing 2 dices is given by P ( A ) = 4/9 = 44.44 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that both numbers are less than 5 on throwing 2 dices be represented as P ( A )

Now , the total number of outcomes for throwing 2 dices = 36 outcomes

And , out of these 36 possible outcomes, there are 16 outcomes where both numbers are less than 5

{(1,1), (1,2), (1,3), (2,1), (2,2), (2,3),

(3,1), (3,2), (3,3), (4,1), (4,2), (4,3),

(1,4), (2,4), (3,4), (4,4)}

So , the number of possible outcomes = 16

And , probability P ( A ) = 16/36

P ( A ) = 4/9

Hence , the probability is 4/9

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Answer:

"there is exactly one output for each input" is cotrrect

"the graph of a linear function" is correct

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  628 cm³

Step-by-step explanation:

Put the given numbers into the formula and do the arithmetic.

  V = πr²h

  V = (3.14)(5 cm)²(8 cm) = 628 cm³

Answer:

V≈718.38

Step-by-step explanation:

The volume of this cone is 718.38 cubic centimeters.

Have a nice day!

Answer:

0.701, 0.71, 7.0101, 7.034, 7.01, 7.34, 71.01

Answer:

To smallest:

71.01, 7.34, 7.034, 7.0101, 7.01, 0.71, 0.701

To biggest:

0.701, 0.71, 7.01, 7.0101, 7.034, 7.34, 71.01

Answer:

20/7 or 13

Step-by-step explanation:

Answer:

20/7 doesn't reduce, so it's 20/7

if you mean 20- 7 it's 13

the proper fraction would be 2 remainder 6, 2.6, 2 and 6/10, or 2 and 3/5 simplified.

Answer:

Step-by-step explanation:

formula to find the sum of interior angle of a regular pentagon is

(n-2)*180 degree

here n means no of sides .since pentagon has 5 sides replace it by 5

=(5-2)*180

=3*180

=540 degree

Answer:

measure of the indicated angle

=180-(135+22)

=180-157

=23°

the first option is the answer

Answer:

23

Step-by-step explanation:

135+22 = 157

all angles add up to 180 degrees so

180-157 is 23

Answer:

B. 3.52

Step-by-step explanation:

4.20+1.80=6.00

6.00 x .08 (8% tax)=.48 tax

6.00+ .48=6.48 total cost

10.00-6.48=3.52 change from a $10 bill

Answer:

first option

Step-by-step explanation:

3x = 90 degree (being perpendicular)

x = 90/3

x = 30 degree

substitute the value of x

2x + 3y = 90 degree (being perpendicualr)

2*30 + 3y = 90

60 + 3y = 90

3y = 90 - 60

y = 30/3

y = 10 degree

Answer:

that's easy its letter a number 10

Answer:

a) The fixed cost is $1350.

b) Total variable cost is $6000.

Step-by-step explanation:

a) The fixed cost = Operational cost + Insurance company bill.

                           = $ 1000  + 350 = $1350.

b) Variable cost:-

The number of facilitators = 20.

The salary for each facilitator = $300.

Total variable cost = $300 x 20 = $6000.

Answer:

The slope is  y=-5x+100 and she loses 5% per hour

Step-by-step explanation:

hope it helps and can you pls give me brainliest im desperate

Answer:

B and C

Step-by-step explanation:

If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)

If you take the greatest common factor then it could be factored to 12(2m-p+6)

In the question, it's σ = 10 and not μ = 10.

Answer:

A) σ_x = 1.4142

B) σ_x = 1.4135

C) σ_x = 1.4073

D) σ_x = 1.343

Step-by-step explanation:

We are given;

n = 50

σ = 10

A) Formula for standard error of the mean for infinite size is;

σ_x = σ/√n

Thus;

σ_x = 10/√50

σ_x = 1.4142

B) When population is finite, we use correction factor and thus, we have;

σ_x = [√((N - n)/(N - 1)] × σ/√n

N = 50,000

Thus;

σ_x = [√((50000 - 50)/(50000 - 1)] × 10/√50

σ_x = 1.4135

C) N = 5000

Thus;

σ_x = [√((5000 - 50)/(5000 - 1)] × 10/√50

σ_x = 1.4073

D) N = 500

Thus;

σ_x = [√((500 - 50)/(500 - 1)] × 10/√50

σ_x = 1.343

Step-by-step explanation:

(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer

(b) For this, we just have to make the two expressions equal, so

4166-39m = 3650-27m

The solution is:

(a)

Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes

(b)

3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 27 liters per minute, then after x minutes, the total water drained will be 27 liters per minute * x minutes. Then:

Amount of water in the first pool (in liters) =  3650 liters - 27 liters per minute * x minutes

Reasoning in the same way:

Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes

(b)  Now want to know when the two pools would have the same amount of water.  If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes

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Answer:

3/4

Step-by-step explanation:

2 - 1.25 - 0.75

0.75 = 3/4

Your answer is 3/4.

I hope this helps, have a nice day.

Answer:

Step-by-step explanation:

[tex]2 - 1.25[/tex]

[tex]0.75[/tex]

Answer:

778.1 cm

Step-by-step explanation:

The solution triangle attached below :

Using trigonometry :

θ = 90 - 14.12 = 75.88°

Cos θ = Adjacent / hypotenus

Cos 75.88 = 190 / d

d = 190 / cos 75.88

d = 778.83

Rock is 778.8 cm from the camera

Answer:

Commission: $46.68

Step-by-step explanation:

https://www.commission-calculator.com/

By using this calculator, it shows you exactly the commission rate.

Answer: At a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.

Step-by-step explanation:

Let us assume that X is a normal rando variable with a mean value [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].

Hence, random variable Z will be introduced as follows.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

(a) Set the value [tex]\sigma = 0.1[/tex] and the equation will be written down as follows.

[tex]0.999 = P (X \geq 12) \\= P (Z \geq \frac{12 - \mu}{0.1})\\= 1 -\phi (\frac{12 - \mu}{0.1})\\\phi (\frac{12 - \mu}{0.1}) = 0.001[/tex]

According  to the tables,

[tex]\frac{12 - \mu}{0.1} = -3\\\mu = 12.3[/tex]

Thus, we can conclude that at a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.

Answer:

1/64

Step-by-step explanation:

See image below:)

Answer:

y=2*(4)^2-3

y=2*16-3

y=32-3

y=29

Step-by-step explanation:

(5x³-7)(2x²+1)

OPTION D is the correct answer

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

Answer:

132.6 meters tall

Step-by-step explanation:

it gave me the answer

25 million

number of bacteria doubles every minute

9514 1404 393

Answer:

  115°

Step-by-step explanation:

Let A, B, C represent the vertex angle measures of ΔABC. Then the sum of angles in ΔADC is ...

  A/2 +∠ADC + C/2 = 180°

Multiplying by 2 gives ...

  A + C + 2×∠ADC = 360°

From the given information, we know ...

  A + C + 50° = 180° . . . . . sum of angles in ΔABC

This lets us write an expression for (A +C):

  A + C = 130° . . . . . . . . subtract 50° from the previous equation

Substituting for A+C, we get ...

  130° + 2×∠ADC = 360°

  2×∠ADC = 230° . . . . . . . . . subtract 130°

  ∠ADC = 115° . . . . . . . . . . . divide by 2