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12345 [234]
3 years ago
9

How do you graph 3x-2y<-4

Mathematics
1 answer:
sveta [45]3 years ago
4 0
The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
3
2
m
=
3
2
b
=
−
2
b
=
-
2
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
3
2
3
2
Y-Intercept:
−
2

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What is 10% of a number whose square<br> is 81
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Answer: 0.9

Step-by-step explanation:

<u>Let x be the number</u>

<u>Determine the value of the number</u>

x² = 81

√x² = √81

x = 9

<u>Find the 10% of the number</u>

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = \boxed{0.9}

Hope this helps!! :)

Please let me know if you have any questions

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Information about mutual funds provided by Morningstar Investment Research includes the type of mutual fund (Domestic Equity, In
Daniel [21]

Answer:

(a)0.64

(b)0.48

(c)0.3072

(d)0.76

Step-by-step explanation:

Domestic Equity funds= 16

Funds rated 3-star or less=13

Domestic Equity fund were rated 4-star=7

Domestic Equity funds were rated 5-star=2

Total Sample of Funds taken=25

Domestic Equity Funds+International Equity=25

16+International Equity Funds=25

International Equity or Fixed Income Funds =9

For, Domestic Equity Funds (16)

Funds Rated 5 Stars = 2

Funds Rated 4 Stars=7

Therefore, Funds Rated 3 Stars=16-9=7

Since 13 mutual funds were rated 3 Stars or less,

Domestic Equity Funds Rated 3 Stars + International Equity Rated 3 Stars =13

7+International Equity Rated 3 Stars=13

International Equity Rated 3 Stars=13-7=6

International Equity or Fixed Income(9)

Rated 3 Stars=6

Rated 4 or 5 Stars=9-6=3

(a)Probability of selecting a Domestic Equity Fund

Number of Domestic Equity Funds=16

Total Sample of Funds=25

P(selecting a Domestic Equity Fund) = \frac{16}{25}=0.64

(b)Probability of selecting a fund with a 4 or 5-star rating.

International Equity Rated 4 or 5 Stars=3

Domestic Equity Funds Funds Rated 4 or 5 Stars = 2+7=9

Total Funds Rated 4 or 5 Stars=3+9=12

Therefore:

P(selecting a fund with a 4 or 5-star rating)=\frac{12}{25}=0.48

(c)Probability of selecting a fund that is both a Domestic Equity Fund and a fund with a 4 or 5-star rating.

Number of Domestic Equity Funds=16

Total Funds Rated 4 or 5 Stars=12

P(Domestic Equity Fund AND a fund with a 4 or 5-star rating)

= \frac{16}{25} X \frac{12}{25}=0.3072

(d)Probability of selecting a fund that is a Domestic Equity Fund or a fund with a 4 or 5-star rating.

Note:

P(A or B)= P(A)+P(B)-P(A AND B)

Number if Domestic Equity Funds rated 4 or 5 Stars=9

= \frac{16}{25} + \frac{12}{25} -\frac{9}{25}=0.76

5 0
4 years ago
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