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2 years ago

Anyone help me ‼️‍♀️

Mathematics

1 answer:

Shalnov [3]2 years ago

5 0

Answer:

3.) 5=b

4.) x=-4

5.) n > 0

6.) x > -1

7.) v > -3

8.) a > 1

Step-by-step explanation:

3.) 6(5-b)=35-7b

30-6b=35-7b

+6b on each side

30=35-b

-35 on each side

-5=-b

5=b

4.) 15+7x=2(x-5)+5

15+7x=2x-10+5

15+7x=2x-5

-2x from each side

15+5x=-5

-15 from each side

5x=-20

÷ each side by 5

x=-4

5.) 15+8n>-3(-5+3n)

15+8n>15-9n

+9n to each side

15+17n>15

-15 each side

17n>0

÷ each side by 17

n>0

6.) 4(8x+8)+5>8x+13

32x+32+5>8x+13

32x+37>8x+13

-8x each side

24x+37>13

-37 each side

24x>-24

÷ by 24

x>-1

7.) 7(5v+6)>-39+8v

35v+42>-39+8v

-8v each side

27v+42>-39

-42 each side

27v>-81

÷ by 27

v>-3

8.) -7(-5+5a)+5<7a-2

35-35a+5<7a-2

40-35a<7a-2

-7a each side

40-42a<-2

-40 each side

-42a<-42

÷ by -42

a>1

Hope this helps, i dont know how to post a pic on here so you still have to graph 5-8.

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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

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HєƖρ ρƖєαѕє!!!!!!!!!!!!!!!!!!!

Mrrafil [7]

Ok let us assume x= the width of the table top
the length is 4 times the width meaning we are multiplying 4 and the width
which is x
length = 4x
your first equation would be the following:
4x+4x+x+x= whatever the perimeter is
if you drew a rectangle it would help you understand the above.

this represents the perimeter of the tabletop because we know the width is x. if you drew the rectangle there wouldn't be 1 width. opposite to the width is another line. same with the length. the length is 4x again there are 2 because in a rectangle there are 2 sets of parallel lines. that is why your equation would be 4x+4x+x+x= whatever the perimeter is- you could simplify this equation and write:
10x= whatever the perimeter is
x basically means 1x but in math we generally don't write that because we tend to write most things in simplest for.
hope this helps :)

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