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2 years ago

We know the following about the numbers a, b and c:

Mathematics

1 answer:

labwork [276]2 years ago

3 0

Step-by-step explanation:

(a + b)² = 9

(b + c)² = 25

(a + c)² = 81

Taking the square root:

a + b = ±3

b + c = ±5

a + c = ±9

By adding these three equations together and dividing both sides by 2, we get the value of a + b + c.

Possible combinations for a + b + c such that the sum is greater than or equal to 1 are:

a + b + c = (-3 + 5 + 9)/2 = 11/2

a + b + c = (3 − 5 + 9)/2 = 7/2

a + b + c = (3 + 5 + 9)/2 = 17/2

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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

This is a problem that I have to solve with matrixes, Please show me all of the work. I will award brainliest.

Elina [12.6K]

Answer:

The total points by Washington High School = 162 points

The total points by Johnson High School = 159 points

The total points by Roosevelt High School = 108 points

The total points by Lewis High School = 196 points

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places = 10 x ( 10) = 100 points

6 second places = 6 x ( 8) = 48 points

2 first places = 2 x ( 7) = 14 points

So, the total points by Washington High School = Sum of all points

= 100 + 48 + 14 = 162 points .............. (1)

About Johnson High School

8 first places = 8 x ( 10) = 80 points

9 second places = 9 x ( 8) = 72 points

1 first places = 1 x ( 7) = 7 points

So, the total points by Johnson High School = Sum of all points

= 80 + 72 + 7 = 159 points .............. (2)

About Roosevelt High School

4 first places = 4 x ( 10) = 40 points

5 second places = 5 x ( 8) = 40 points

4 first places = 4 x ( 7) = 28 points

So, the total points by Roosevelt High School = Sum of all points

= 40 + 40 + 28 = 108 points .............. (3)

About Lewis High School

3 first places = 3 x ( 10) = 30 points

3 second places = 3 x ( 8) = 24 points

6 first places = 6 x ( 7) = 42 points

So, the total points by Lewis High School = Sum of all points

= 30 + 42 + 24 = 96 points .............. (4)

Now, comparing all four equation, we get that:

Washington High School has WON the meet.

Johnson High School came second.

The difference in the points = 162 - 159 = 2 points

6 0

2 years ago

A missing fraction on a number line is located exacly halfway between 3/6 and 5/6. What is the missing fraction?

kap26 [50]

The missing number would be 4/6, or 2/3.

The missing number can be found by finding the absolute distance in between the numbers, dividing it and then adding it to the smaller number.

(5/6-3/6)/2=(2/6)/2=1/6
3/6+1/6=4/6 or 2/3

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2 years ago

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A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more

Anarel [89]

Answer:

3/5

Step-by-step explanation:

8 0

2 years ago

Diagonals of an isosceles trapezoid are perpendicular to each other and the sum of the lengths of its bases is 2a. What is its

sergey [27]

Area= a*height
the formula for an isosceles trapezoid is 1/2(base1+base2)*height. 1/2 base 2 and 2a will simplify to a base length of a. a times height or a*height

7 0

3 years ago

Read 2 more answers