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NeX [460]
4 years ago
8

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

e of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy. The inequality that best represents this scenario is . The number of tubes of paint Catherine can buy is .
Mathematics
1 answer:
erastova [34]4 years ago
3 0
She can buy 3 tubes be cause 8.50 time 2 is less then 20$ but 8.50 times three is more than 20$ its 25.5
You might be interested in
6. Suppose that a fair coin is tossed 2 times, and the result of each toss (H or T) is recorded.
nekit [7.7K]

Answer:

a) S= {HH, HT, TH, TT}

b) P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25

P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5

P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25

And we have the following table:

X     |     0   |     1   |      2

P(X) |  0.25 |  0.5 |  0.25

Step-by-step explanation:

Let's define first some notation

H= represent a head for the coin tossed

T= represent tails for the coin tossed

We are going to toss a coin 2 times so then the size of the sample size is 2^2 = 4

a. What is the sample space for this chance experiment?

The sampling space on this case is given by:

S= {HH, HT, TH, TT}

b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.

The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:

P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25

P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5

P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25

And we have the following table:

X     |     0   |     1   |      2

P(X) |  0.25 |  0.5 |  0.25

5 0
3 years ago
Given: y = 3x - 4.<br> What is the x-intercept? <br> (0, -4)<br> (0, 4/3)<br> (4/3, 0)
lyudmila [28]
The x-intercept is a point whose y-coordinate is 0, so (x,0).
Substitute 0 for y in the equation:
y=3x-4 \\ 0=3x-4 \\ 4=3x \\ x=\frac{4}{3}

The x-intercept is (\frac{4}{3}, 0).
4 0
4 years ago
Read 2 more answers
−1/3−(−1/2)
Radda [10]

Hi ;-)

-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}

6 0
3 years ago
What is the area of a parallelogram whose vertices are (-4,9), (11,9), (5,-1) and (-10,-1)
Reptile [31]

The area of the parallelogram whose vertices are (-4 , 9), (11 , 9), (5 , -1)

and (-10 ,-1) is 150 units²

Step-by-step explanation:

Let us revise some important facts:

1. Horizontal lines passe through points have same y-coordinates

2. The length of a horizontal segment is the difference between

    the x-coordinates of its end-points

3. vertical lines passe through points have same x-coordinates

4. The length of a vertical segment is the difference between

    the y-coordinates of its end-points

In the parallelogram whose vertices are

(-4 , 9), (11 , 9), (5 , -1) and (-10 ,-1)

∵ The vertices (-4 , 9) and (11 , 9) have same y-coordinates

∴ The side whose joining them is a horizontal side

∴ Its length = 11 - (-4) = 11 + 4 = 15 units

∵ The vertices (5 , -1) and (-10 , -1) have same y-coordinates

∴ The side whose joining them is a horizontal side

∴ Its length = 5 - (-10) = 5 + 10 = 15 units

∴ The two horizontal sides are parallel and equal

∵ The area of a parallelogram = base_{1} × height_{1}

∵ The perpendicular distance between two parallel horizontal

   sides is the difference between their y-coordinates

∵ The y-coordinate of the 1st horizontal side = 9

∵ The y-coordinate of the 2nd horizontal side = -1

∴ The vertical distance between the parallel sides = 9 - (-1) = 9 + 1

∴ The vertical distance between the parallel sides = 10 units

∵ base_{1} = 15 units

∵ height_{1} = 10 units

∴ The area of the parallelogram = 15 × 10 = 150 units²

The area of the parallelogram whose vertices are (-4 , 9), (11 , 9),

(5 , -1) and (-10 ,-1) is 150 units²

Learn more:

You can learn more about area of parallelograms in brainly.com/question/6779145

#LearnwithBrainly

3 0
3 years ago
If you were asked to load 225 bixes on a truck , and boxes are crated. With each nine boxes how many crates would you need to lo
Lubov Fominskaja [6]
225 divided by 9 to figure out the number of crates needed.
225/9=25

So 25 crates are needed to load all boxes on the truck.
4 0
4 years ago
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