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2 years ago

Find the y intercept

Mathematics

2 answers:

olya-2409 [2.1K]2 years ago

8 0

Answer:

-1/7x

Step-by-step explanation:

y increases by 7 everytime x increases by 1,

Thus, you just need to divide x by 7 and subtract one which y would be 0 and being the y intercept.

Len [333]2 years ago

3 0

Answer:

the y-intercept is positive 1

Step-by-step explanation:

You might be interested in

According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that

WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

$P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}$

$=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145$

Hence, the required probability is 0.01145.

5 0

3 years ago

Help me please i don’t know the answer

FromTheMoon [43]

Answer:

its12

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Volume of prisms just 3 problems

Vladimir79 [104]

Answer:

2. 18 cubic cm.

3. 27 cubic cm

5. 90 cubic m

Step-by-step explanation:

2. Triangular prism

So, we have a triangular prism with a width of 3 cm, a height of 1.5 cm and a length of 4. We'll take the triangle shape as the base.

Like for any prism, the volume is the base multiplied by the height.

So, the area of the base is found with the regular formula: base x height:

so, 3 x 1.5 = 4.5 sq cm for the base.

Then we multiply the base by the length to get the volume: 4.5 x 4 = 18 cubic cm.

3. Trapezoidal prism

Again, first step is to calculate the area of the trapezoid shape, then multiply by its depth.

The area of a trapezoid is calculated with the formula:

A = h/2 * (a + b) where a and b represent the short and long sides respectively.

So, for our given trapezoid:

A = 1.5/2 * (2+4) = 0.75 * 6 = 4.5 sq cm.

Then we multiply the base area by the height to get the volume:

V = 4.5 * 6 = 27 cubic cm

5. Triangular prism 2

The best way to approach this one is to consider it's a triangle prism with a height of 3 cm, and use the triangle shape (with sides of 13 and 5) as the base.

But to calculate the area of that triangle we need to find out the missing length. Using Pythagore's theorem, we can easily find the length of the other side with the hypotenuse formula:

hypotenuse² = sideA² + sideB²

In our case, we have:

13² = x² + 5²

169 = x² + 25

x² = 144

x = 12

Now we can calculate the area of the triangle easily:

A = (b x h)/2 = (5 x 12)/2 = 30 sq m

Then multiply by the thickness of the prism....

V = 30 x 3 = 90 cubic m

4 0

2 years ago

Which of the following types of graphs is best for plotting the mean, median, and mode of data?

frutty [35]

Answer:

Stem-and-leaf. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data.

5 0

2 years ago

You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f

Anastasy [175]

Answers:

one t-shirt costs $10

one pair of shorts costs $15

============================================================

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

$\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}$

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

13x-13x becomes 0x or just 0, and the x terms go away.
17y-12y becomes 5y
385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

-----------------

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0

2 years ago