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SOVA2 [1]
2 years ago
8

Please help ASAP due soon pretty easy question just stuck

Mathematics
2 answers:
KATRIN_1 [288]2 years ago
8 0

Answer:

x=4 z=117

Step-by-step explanation:

Elanso [62]2 years ago
4 0

Answer:

x = 4, z = 117

Step-by-step explanation:

14x + 7 and 63 are vertically opposite angles and are congruent, then

14x + 7 = 63 ( subtract 7 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

z and 63 are adjacent angles and are supplementary, then

z + 63 =180 ( subtract 63 from both sides )

z = 117

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A simple random sample of size n=250 individuals who are currently employed is
Likurg_2 [28]

Answer:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

Step-by-step explanation:

For this case we can estimate the population proportion of people that they did work at home at least once per  week with this formula:

\hat p = \frac{X}{n}= \frac{26}{250}= 0.104

We need to find the critical value using the normal standard distribution the z distribution. Since our condifence interval is at 99%, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.104 - 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.054

0.104 + 2.58\sqrt{\frac{0.104(1-0.104)}{250}}=0.154

The 99% confidence interval would be given by (0.054;0.154) . So we are confident at 99% that the true proportion of people that they did work at home at least once per  week is between 0.054 and 0.154

3 0
2 years ago
Please answer attached Parallel lines with Multiple transversals
love history [14]

Answer:

Step-by-step explanation:

3 0
2 years ago
Part 1 The art club had an election to elect a president. 75% of the 60 members of the club voted in the election. How many memb
xeze [42]

Answer:

45 members voted and 15 didn't vote

Step-by-step explanation:

4 0
2 years ago
point a is on line segment RT. Given ST = 2x, RT = 4x, and RS = 4x -4 determine the numerical length of RS
Andrei [34K]
Forty nine x plus 15x -ggsg and y will get 13
3 0
3 years ago
Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
3 years ago
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