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Yuki888 [10]
3 years ago
11

Graph the solution on a number line. -x/2+3/2<5/2

Mathematics
1 answer:
SashulF [63]3 years ago
3 0
  First, you solve for this algebraically, where you solve for x. Then, you can graph the solution. By doing this, you shade all of the possible values for x while you put an open or closed circle for the value of x.
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Krista has a quiz today. There are 4 questions with 4 options. Each question only has one correct answer. She wants to guess and
Lyrx [107]

Answer:

The probability is 0.258

Step-by-step explanation:

In this question, we want to know the probability of Krista getting exactly 3 out of the options she chooses right.

For all the questions, there are 4 questions with 4 options each

Total number of options is 4 * 4 = 16 options

there are 3 wrong options and one correct option per question. Total number of correct option is 4 and the total number of wrong options is 12

Probability of selecting a wrong option is 12/16 = 3/4 while the probability of selecting a correct option is 1/4

Thus, we can use a Bernoulli approximation to get this probability of getting three right.

let the probability of selecting a correct option be p and that of a wrong option be a.

Probability of selecting exactly three correct ones will be;

P(r = 3) = nCr p^r q^(n-r)

where n is the total number of options and r is the number of options we are selecting to be correct.

The probability = 12C3 * (1/4)^3 * (3/4)^9

= 220 * 0.015625 * 0.075084686279 = 0.258

7 0
4 years ago
(3x2 + 10x + 3) by (x + 3)​
Nata [24]
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.

c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9

and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1

9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3

=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
6 0
3 years ago
Which scenario matches the graph?
liubo4ka [24]
Answer: The cost of hiring a house painter will cost $60 per day
8 0
3 years ago
A customer bank balance is - $7 the customer owes
elena-14-01-66 [18.8K]

the customer owes 7 dollars

3 0
3 years ago
Which of the following describes the line graphed below? (Pls help)
Colt1911 [192]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
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