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MAVERICK [17]
3 years ago
6

Find the intercepts of the graph of the equations y=-4x+16

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

x=4 and y=16..........

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please help solve this problem the - is a negative sign. (2b+-7)+5(b+-3)
enyata [817]

Answer:


Step-by-step explanation:

(2b+-7)+5(b+-3)

Multiply 5 throughout the second parentheses

(2b-7)+(5b-15)

Add 2b and 5b

7b-7-15

Subtract -7 and -15

7b-22

3 0
2 years ago
Find the exact value of sin 10pi/3
guajiro [1.7K]

Answer:

− √ 3 /2  or -0.86602540 ...

Step-by-step explanation:

4 0
3 years ago
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compar
romanna [79]

Answer:

a) 0.0256 = 2.56% probability of 4 heads.

0.1296 = 12.96% probability of 4 tails.

b) The probability is 0.0576 = 5.76%.

c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses

Step-by-step explanation:

For each throw, we have these following probabilities:

0.4 = 40% probability of heads.

0.6 = 60% probability of tails.

(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.

4 heads:

4 throws, each with 0.4 probability of heads. So

(0.4)^4 = 0.0256

0.0256 = 2.56% probability of 4 heads.

4 tails:

4 throws, each with 0.6 probability of tails. So

(0.6)^4 = 0.1296

0.1296 = 12.96% probability of 4 tails.

(b) Determine the probability of H T H T in 4 tosses.

H = 0.4, T = 0.6. So

p = 0.4*0.6*0.4*0.6 = 0.0576

The probability is 0.0576 = 5.76%.

(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)

Number of outcomes:

The possible outcomes are:

H - H - T - T

H - T - H - T

H - T - T - H

T - H - H - T

T - H - T - H

T - T - H - H

6 outcomes given 2 heads in 4 tosses.

Each with probability 0.0576, as found in b)

6*0.0576 = 0.3456

0.3456 = 34.56% probability of 2 heads in 4 tosses

8 0
2 years ago
P (2, 3) and Q (6, 10) are two points on the Cartesian plane.
lara31 [8.8K]

Step-by-step explanation:

Given:

(x_1, \: y_1 ) =(2, \:3)\:\:\&\:\: (x_2, \: y_2) =(6, \:10)

l(PQ) =  \sqrt{ {(x_1 - x_2)}^{2} +  {(y_1 - y_2)}^{2}}  \\  \\  = \sqrt{ {(2 - 6)}^{2} +  {(3 - 10)}^{2}} \\  \\  = \sqrt{ {( - 4)}^{2} +  {( - 7)}^{2}}  \\  \\  =  \sqrt{16 + 49}  \\  \\  =  \sqrt{65}  \\  \\ \therefore \purple{ \boxed{  l(PQ) = 8.06 \: units}}\\\\

Let S be the mid-point of PQ.

\therefore S = \{\frac{x_1+x_2}{2}, \:\:\frac{y_1+y_2}{2}\} \\\\= \{\frac{2 +6}{2}, \:\:\frac{3+10}{2}\} \\\\= \{\frac{8}{2}, \:\:\frac{13}{2}\} \\\\\therefore S= \{4, \:\:6.5\} \\\\

Equation of line PQ is given as:

\frac{y-y_1}{y_1 - y_2}=\frac{x-x_1}{x_1 - x_2} \\\\\therefore  \frac{y-3}{3 - 10}=\frac{x-2}{2 - 6} \\\\\therefore  \frac{y-3}{-7}=\frac{x-2}{-4} \\\\\therefore  \frac{y-3}{7}=\frac{x-2}{4} \\\\\therefore 4(y-3)=7(x-2)\\\\\therefore 4y-12=7x-14\\\\\therefore 7x-14 - 4y + 12=0\\\\\red{\boxed {\therefore 7x-4y - 2 =0}}

4 0
3 years ago
Read 2 more answers
(07.01) A spinner and two cards are shown below. (Yellow, Red, Orange are in a spinner. Purple, Green are the two cards beside i
9966 [12]

Answer:

i think its the last one

Step-by-step explanation:

8 0
2 years ago
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