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3 years ago

HELP PLEASE

1 answer:

7 0

If two events are disjoint (i.e. mutually exclusive) they cannot both occur and so we can determine probabilties by simple addition:

$P(AorB)=P(A)+P(B)$
$P(AorB)=\frac{40}{61}+\frac{2}{61}$
$P(AorB)=\frac{42}{61}$
$P(AorB)\approx 68.8\%$

A more complete answer would use a joint probability table but that's difficult to type out/format correctly here.

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A line through the origin has a slope of 1 / 3. Carlos thinks the slope of a perpendicular line at the origin will be 3.

OLEGan [10]

Answer:

Carlos is incorrect.

Step-by-step explanation:

We have been given that a line through the origin has a slope of $\frac{1}{3}$ . Carlos thinks the slope of a perpendicular line at the origin will be 3.

We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.

The slope of the perpendicular line at the origin will be negative reciprocal of $\frac{1}{3}$ .

Let us find negative reciprocal of $\frac{1}{3}$ as:

$-\frac{1}{\frac{1}{3}}=-\frac{1\cdot 3}{1}=-3$

Since the slope of a perpendicular line at the origin is $-3$ , therefore, Carlos is incorrect.

4 0

2 years ago

WILL GIVE BRAINLIEST!!!!!

ruslelena [56]

Answer:

Step-by-step explanation:

m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°

From ΔABC:

m∠ABC + m∠BCA + m∠BAC = 180°

65° + 35° + m∠BAC = 180°

m∠BAC = 180° - 100°

m∠BAC = 80°

5 0

3 years ago

PLEASE HELP

Alecsey [184]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A (-2, 0) (-1, 2)

Line B (-1. - 5) (-6, 0)

2.- Find the slope and equation of each line

Line A

$m = \frac{2 - 0}{-1 + 2}$

$m = \frac{2}{1}$

m = 2

y - 0 = 2(x + 2)

y = 2x + 4

Line B

$m = \frac{0 + 5}{-6 + 1}$

$m = \frac{5}{-5}$

m = -1

y - 0 = -1(x + 6)

y = -x - 6

3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

y ≥ - x - 6

5 0

3 years ago

8.35x - 1.5 = 71.98<br> (a) 8.6<br> (b) 8.8<br> (c) 9<br> (d) 10.3

prisoha [69]

<h3> Hola! :D ¡te invito a recibir ayuda de un latinoamericano puto!</h3><h2><u> _____________________________________ </u></h2><h2> 8.35x - 1.5 = 71.98</h2><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2>

<u>El -1,5 qlero pasaría al otro lado positivo</u>

<u>Ahora, se suma 71.98 + 1.5 = 73,48</u>

<u>El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo</u>

<u>Dividimos</u>

<h3> x = 8,8</h3><h2> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</h2><h2> <u>(b) 8,8</u> es la opción correcta</h2>

3 0

2 years ago

In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.

solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0

2 years ago

*HELP PLEASE*

HELP PLEASE