Ask question

Ask question

All categories

2 years ago

11

George put some cards into a basket. Then he drew 3 cards out of the basket. Is this a random sample of cards in the basket? Why

or why not ?

1 answer:

alexgriva [62]2 years ago

7 0

Answer:

It is because he doesn’t know exactly which cards are in the basket and he doesn’t know the exact three he is going to pick out

Step-by-step explanation:

You might be interested in

Identify 1 and 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplem

Grace [21]

Right angle and complementary. this cold be wrong.

4 0

2 years ago

Read 2 more answers

A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism

luda_lava [24]

Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

7 0

2 years ago

At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h

cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20 Eqn 1

80x+50y=1450 Eqn 2

Multiplying Eqn 1 by 80

$80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150$

Dividing both sides by 30

$\frac{30y}{30}=\frac{150}{30}\\y=5$

Putting y=5 in Eqn 1

$x+5=20\\x=20-5\\x=15$

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

2 years ago

Describe the first step when factoring any polynomial. Why is this the first step? Explain.

seropon [69]

Step 1: If there is a common factor, factor out the GCF. Step 2<span>: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.</span>

3 0

2 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Allushta [10]

Answer:

The y-intercept of AB is y=4/3, the x-coordinate of the poit C is 4, the equation of the line that goes through BC is $6x-11=y$

Step-by-step explanation:

To find the y-intercept of AB we first have to find the equation of the line that goes through this segment.

We firt compute the slope of the segement which is given by

$m_1 = \dfrac{y_B - y_A}{x_B - x_A}= \dfrac{1-(-1)}{2-14} =\dfrac{-1}{6}$

Using this we can compute the equation of the line through AB using the point B=(2,1) and the formula

$\dfrac{-1}{6}=\dfrac{1-y}{2-x}$

we solve the last equation for $y$ and so we get

$y=\dfrac{-x}{6}+\dfrac{4}{3}$

The y-intercept of AB is the point in the line with x-coordinate equals to 0. Hence, the y-intercept is

$y(0) = \frac{-0}{6}+\frac{4}{3}=\frac{4}{3}$

Now, since the segments AB and BC are perpendicular, the slope of the line that goes through the segment BC is

$m_2 = -\dfrac{1}{m_1}=-\dfrac{1}{-\frac{1}{6}}=6$

Usinge the slope $m_2$ and knowing that the line goes through the point B=(2,1), to find the equation of the line through the segmen AC we use the following formula

$6=\dfrac{y-1}{x-2}$

we solve the equation for y and we get the equation

$y=6x-11$

Finally, to compute the x-coordinate of the point C we use the last equation and the fact that the y-coordinate is 13, it holds that

$13 = 6 x - 11 \quad \Rightarrow \quad x = \dfrac{13 + 11}{6}=\dfrac{24}{6}=4$

7 0

2 years ago

Read 2 more answers