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bezimeni [28]
3 years ago
13

Evaluate 8p +3q-188p+3q−188, p, plus, 3, q, minus, 18 when p=\dfrac12p= 2 1 ​ p, equals, start fraction, 1, divided by, 2, end f

raction and q=7q=7q, equals, 7.
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Given:

The expression is

8p+3q-18

To find:

The value of the expression when p=\dfrac{1}{2} and q=7.

Solution:

We have,

8p+3q-18

Putting p=\dfrac{1}{2} and q=7, we get

8(\dfrac{1}{2})+3(7)-18

=4+21-18

=7

Therefore, the value of the expression is 7 when p=\dfrac{1}{2} and q=7.

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In a certain​ lottery, an urn contains balls numbered 1 to 26. From this​ urn, 6 balls are chosen​ randomly, without replacement
expeople1 [14]

Answer:

\frac{1}{230230}

Step-by-step explanation:

Given that in a certain​ lottery, an urn contains balls numbered 1 to 26

From this​ urn, 6 balls are chosen​ randomly, without replacement.

Bet amount 1 dollar and he selects a set of six numbers.

If these match with those chosen from the urn he wins (order does not matter)

Total ways of choosing 6 out of 26 = 26C6 = \frac{26!}{20!6!} \\=230230

The way he selects = 1

Hence probability of winning  =\frac{1}{230230}

with one ticket

4 0
3 years ago
Given that lines m and n are parallel and that line t is a transversal, the
Naily [24]

Answer:

60

Step-by-step explanation:

if the opposite of <1 is 120 and the line it is sitting on is flat, we can figure out that both connected would be 180

the equation would be 180-120=60

hope this helped

3 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP NEW TEST AHHHHHHHHH
ValentinkaMS [17]

Nearest thousanth-.063

Nearest Hundranth-.06

Nearest Tenth-.1

Nearest whole-0

4 0
3 years ago
Given the midpoint (1.5,1.5) and the endpoint (5,7) where is the other endpoint located
earnstyle [38]

The formula of a midpoint:

M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)

We have:

M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7

Substitute

\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4

<h3>Answer: (-2, -4)</h3>
8 0
3 years ago
3. E, F and G are collinear points. E is between F and G.
nikdorinn [45]

Answer:

<h2>A. 4 in</h2>

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

5 0
3 years ago
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