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3 years ago

If 4 children are chosen at random, what is the probability that at least one child dislked eating vwegetables

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

The answer depends on what the children actually like eating. Honestly, I can't think of anything else to say.

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A line goes through the points (4,16) Ana (7,19). Write a linear function rule in terms of x and y for this line

Eva8 [605]

Linear function rule in terms of x and y for this line is y = x + 12

Solution:

Given that a line goes through the points (4, 16) and (7, 19)

To find: linear function rule in terms of x and y for this line

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line

The slope "m" of a line is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text {Here } x_{1}=4 \text { and } x_{2}=7 \text { and } y_{1}=16 \text { and } y_{2}=19$

$m=\frac{19-16}{7-4}=\frac{3}{3}=1$

Thus the slope of line is 1

Substitute m = 1 and (x, y) = (4, 16) in y = mx + c

16 = 1(4) + c

c = 16 - 4 = 12

Substitute c = 12 and m = 1 in slope intercept form

y = 1x + 12

y = x + 12 is the required linear function rule

6 0

4 years ago

Plsss help im rlly rlly stuckkk

-BARSIC- [3]

Answer: 3.3

Step-by-step explanation:

200(x-0.3)=600

Multiply x by 200 and 0.3 by 200

200x-60=600

Add 60 to both sides

200x-60=600

+60 +60

Add them

200x=660

Divide

660/200 = 3.3

Answer: 3.3

Your welcome :)

7 0

3 years ago

If a machine that prints designs on T-shirts prints 500 shirts in 3 hours, how many hours will it take to print designs on 1300

nataly862011 [7]

Answer:

It will take 7.8 hours to print designs on 1300 shirts

Step-by-step explanation:

We will use the ratio method to solve this question

∵ A machine prints designs on T-shirts

∵ It prints 500 shirts in 3 hours

∵ x is the number of hours to print 1300 shirts

→ By using the ratio method

→ shirts : hours

→ 500 : 3

→ 1300 : x

→ By using cross multiplication

∵ 500 × x = 1300 × 3

∴ 500x = 3900

→ Divide both sides by 500

∴ x = 7.8

∴ It will take 7.8 hours to print designs on 1300 shirts

8 0

3 years ago

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the

laila [671]

Answer: y = - 60 x +150

Step-by-step explanation:

Here, the function which represents the distance between my friend and restaurant,

y = - 40x +100

Where, x is the number of hours since my friend left home.

Since, when he covered the whole distance y = 0

Then -40x +100 = 0

⇒ -40x = -100

⇒ x = 2.5

Thus, he is taking 2.5 hours to covered the whole distance.

And, According to question, me and my friend take the same time to covered the distance.

Thus, the time taken by me to covered 150 miles distance = 2.5 hours.

Therefore, my speed = 150/2.5 = 60 miles per hour.

Thus, in x hour the distance between me and restaurant,

y = 150 - 60x

Which is the required equation.

8 0

3 years ago

What is 2 to the power of -2

natka813 [3]

Answer:
0.25
explanation:

6 0

3 years ago

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