All categories

3 years ago

3f + 9 < 21 Help please

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

6 0

Answer:

$\boxed {f < 4}$

Step-by-step explanation:

Solve the following inequality:

$3f + 9 < 21$

-Subtract $9$ on both sides:

$3f + 9 - 9 < 21 - 9$

$3f < 12$

-Divide both sides by $3$ :

$\frac{3f}{3} < \frac{12}{3}$

$\boxed {f < 4}$

fiasKO [112]3 years ago

4 0

Answer:

f < 4

Step-by-step explanation:

3f + 9 < 21

21 - 9 = 12

12 / 3 = 4

You might be interested in

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$

Where q is mathematically evaluated as

$q = 1- p$

$q = 1- 0.90$

$q = 0.10$

$\sigma = \sqrt{ 15 * 0.90 * 0.10 }$

$\sigma = 1.16$

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}$

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}$

From the combination calculator is $\left 15} \atop {}} \right.C_{15} = 1$

$P(X = 15) = 1 * 0.205891 * 1$

$P(X = 15) = 0.206$

7 0

3 years ago

What is the slope OF THE GRAPH, not what is A slope, what is THE slope

PtichkaEL [24]

You can find the slope either by just looking at the line or using the slope formula.

#1: The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$ Find two points and plug it into the formula

I will use (0, 2) and (1, -1)

(0, 2) = (x₁, y₁)

(1, -1) = (x₂, y₂)

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{2-(-1)}{0-1}$ [two negatives cancel each other out and become positive]

$m=\frac{2+1}{-1} =\frac{3}{-1}$

m = -3

#2: To find the slope without having to do the work, you use this:

$m=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-) from each point

Run is the number of units you go to the right from each point

If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.

5 0

3 years ago

Read 2 more answers

Pls answer this now pls i beg u i need to past it on school :) thank you so much

ELEN [110]

Answer: 13.85kg Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

Let's add! 7 1/4 + 6 3/5 = 7.25 + 6.6

7 + 6 + .25 + .6 = 13 + .85 =

13.85

8 0

2 years ago