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3 years ago

7

a line that contains point (2, –2) and perpendicular to another line whose slope is –1. What is the equation of the line and gra

ph?

1 answer:

dolphi86 [110]3 years ago

5 0

It would x - 4 = y because tge opposite reciprocal of -1 is 1 and so using point slope form y + 2 = x - 2 and when simplified youll get x - 4 = y.

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587 to 1 significant figure

mario62 [17]

You are using the 7 to see what the 8 will change to. Because the 7 is over 5 it will round up the 8 and so the answer would be 590

8 0

3 years ago

Consider the trial on which a 3 is first observed in successive rolls of a six-sided die. Let A be the event that 3 is observed

Gwar [14]

Answer:

1) 0.1667

2) 0.8333

3) 1

Step-by-step explanation:

Let A be the event that 3 is observed on the first trial.

Let B be the event that at least two trials are required to observe a 3

a) A six-sided die has 6 possible outcomes of 1,2,3,4,5,6

3 is one of the six possible outcomes

P(A) = no of favourable outcomes /no of possible outcomes

P(A) = 1/6 = 0.1667

b) The event of requiring at least two trials to observe a 3 is the event of not observing a 3 on the first trial.

P(B) = P(A')

P(A')= 1 - P(A)

P(B) = 1 - 1/6

= 5/6 = 0.8333

c) P(AnB) = P(A) + P(B)

= 1/6 + 5/6

= 6/6 = 1

7 0

2 years ago

Which of the following side lengths can form a triangle?

Margaret [11]

Okay, so my last answer was deleted because I didnt show any work.

According to the rule,

a+b>c

c+b>a

c+a>b

so...

2+3=6...6<7

21+23=44...44+44

12+36=48...48<53

14+17=31...31>30

Since answer D is the only answer that fullfills the rule a+b>c, it is the correct answer

3 0

3 years ago

Read 2 more answers

The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age gro

ra1l [238]

Answer:

a) Null hypothesis: $p\leq 0.12$

Alternative hypothesis: $p > 0.12$

b) $z_{\alpha}=1.64$

c) $z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

d) $p_v =P(z>1.362)=0.0866$

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

$\hat p=\frac{134}{1000}=0.134$ estimated proportion of young drivers ages 18 – 24 that had an accident

$p_o=0.12$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%: Null hypothesis:[tex]p\leq 0.12$

Alternative hypothesis: $p > 0.12$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

$z_{\alpha}=1.64$

Part c

For this case the statistic would be given by:

$z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362$

Part d

The p value can be calculated with the following probability:

$p_v =P(z>1.362)=0.0866$

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

8 0

2 years ago

2a +7= 15 answer please

Paul [167]

Answer:

a = 4

Step-by-step explanation:

2a + 7 = 15

- 7 - 7

2a = 8

/2 /2

a = 4

Hope this helps!

7 0

2 years ago

Read 2 more answers