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3 years ago

When you divide two fractions, is the quotient always smaller than the dividend?

Mathematics

2 answers:

Law Incorporation [45]3 years ago

5 0

Its a, if the quotient is bigger than the dividend the answer is just a mixed number

sveta [45]3 years ago

4 0

If I understand the question correctly, the answer should be A. A fraction can really look like anything, larger numbers over smaller, or smaller over larger. No different when you are dividing two fractions.

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Based on the tree diagram, what is the probability that the art project is in the middle?

andrey2020 [161]

The explanation in the attachment.

Q1.
$\begin{array}{cccccc}science&-&art&-&math\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\------------------\\\begin{array}{cccccc}math&-&art&-&science\\\dfrac{1}{3}&\times&\dfrac{1}{2}&\times&\dfrac{1}{1}&=\dfrac{1}{6}\end{array}\\\\\\P(A)=\dfrac{1}{6}+\dfrac{1}{6}=\boxed{\dfrac{2}{6}}$

Answer: two over six

Q2.
$\begin{array}{cccccc}blue&-&head\\\dfrac{1}{4}&\times&\dfrac{1}{2}&=\dfrac{1}{8}\end{array}$

Answer: one over eight

Q3.
Answer: 2 - Red and Pink

Q4.
Answer : Second table /attachment/.

Card Color Green Yellow Purple
Purple Green, Purple Yellow, Purple Purple, Purple
Green Green, Green Yellow, Green Purple, Green

I don't know what happened to LaTeX. The formula of Q1 and Q2 in attachment.

5 0

3 years ago

Read 2 more answers

There are 9 candidates total, 5 male and 4 female, who run for 4 committee positions. Suppose that each person is equally likely

gavmur [86]

Use the hypergeometric distribution.
M=number of Men=5
F=number of women=4
m=number of men elected=2
f=number ow women elected=2.

Assuming equal chance to get elected, then
P(2M,2F)=C(M,m)*C(F,f)/C(M+F,m+f)
=C(5,2)*C(4,2)/C(9,4)
=10*6/126
=10/21

Reference: Hypergeometric distribution.

6 0

3 years ago

What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3

V125BC [204]

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

$y=mx+q$

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

$q=-1$

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

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

Taking the two points at (-2,3) and (1,-3), we find:

$m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2$

So the equation of the line is

$y=-2x-1$

Now we have to re-arrange it in the standard form, so in the form

$ax+bx=c$

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

$y+2x=-1$

So, option 3).

6 0

3 years ago

Explain how you would graph 3x+9y= -18 without converting to slope-intercept form

Zolol [24]

Answer:

you would solve using x and y intercepts.

Step-by-step explanation:

for the X intercept, Y=0

3x=-18. you divide by three on both sides

x=-6. (-6,0)

the for the y intercept, X=0

+9y=-18. you divide 9 on both sides.

y=-2. (0,-2)

then you graph both and connect the points on the x and y axis.

Brainiest always accepted!!!!1

8 0

3 years ago

What is the remainder when f(x) = x^2 + 14x − 8 is divided by (x − 5)? 103 88 87 72

il63 [147K]

Answer:

<h2>The answer is 87</h2>

Step-by-step explanation:

f(x) = x² + 14x - 5

To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula

That's

x - 5 = 0

x = 5

So we have

f(5) = 5² + 14(5) - 8

f(5) = 25 + 70 - 8

f(5) = 95 - 8

We have the final answer as

Hope this helps you

7 0

3 years ago