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Leni [432]
3 years ago
13

Find the value of x in each case:

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

Answer:

x = 36

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.

i. Determination of y

2x + y = 180 (angle on a straight line)

Rearrange

y = 180 – 2x

ii. Determination of z.

z + 4x = 180 (angle on a straight line)

Rearrange

z = 180 – 4x

iii. Determination of x

x + y + z = 180 (sum of angles in a triangle)

But:

y = 180 – 2x

z = 180 – 4x

Therefore,

x + y + z = 180

x + 180 – 2x + 180 – 4x = 180

Collect like terms

x – 2x – 4x = 180 – 180 –180

– 5x = – 180

Divide both side by – 5

x = – 180 / – 5

x = 36

Therefore, the value of x is 36.

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11.1.21 A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the males​ surveyed, responded that they had
hram777 [196]

Complete question :

The Harris Poll conducted a survey in which they asked, "How many tattoos do you currently have on your body?" Of the 1205 males surveyed, 181 responded that they had at least one tattoo. Of the 1097 females surveyed, 143 responded that they had at least one tattoo. Construct a 95% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.

Answer:

(−0.0085 ; 0.0481)

Step-by-step explanation:

Given that :

n1 = 1205 ; x1 = 181 ; n2 = 1097 ; x2 = 143 ; α = 95%

Zα/2 = 1.96 ( Z table)

Confidence interval : (p1 - p2) ± E

E =Zα/2 * √[(p1q1/n1) + (p2q2/n2)]

p1 = x1 /n1 =181/1205 = 0.1502

q1 = 1 - p1 = 1 -0.1502 = 0.8498

p2 = x2/n2 = 143/1097 = 0.1304

q2 = 1 - p2 = 1 -0.1304 = 0.8696

E = 1.96 * √(0.0001059 + 0.0001033)

E = 0.0283

p1 - p2 = 0.1502 - 0.1304 = 0.0198

Lower boundary = 0.0198 - 0.0283 = −0.0085

Upper boundary = 0.0198 + 0.0283 = 0.0481

(−0.0085 ; 0.0481)

7 0
3 years ago
[(25-11)+(15-9)] divided by 5 ;)
vovangra [49]
25-11=14
15-9=6
6+14=20
20/5
=4
8 0
3 years ago
If a woman making $35 an hour gets a 10% raise, how much will she now make in a 6 hour work day?
ahrayia [7]
10% of 35= 3.5

35+3.5= $38.5 per hr (new hourly wage)

$38.5*6= $231

Final answer: $231
5 0
3 years ago
Read 2 more answers
This needs to be answered for a number line <br><br> -9=4x+3
Galina-37 [17]

Answer:

X=-3

Step-by-step explanation:

To find the unknown variable: X, we need to see how mich 4x equals to. to do this, we must first subtract 3 from both sides of the equation. The left side will be left with -12, and the right side will be left with 4x. This means:

-12=4x So...

x=-3

To check if this is right, you can subsitute this back into the equation.

4 times -3= -12. -12=3=-9

8 0
3 years ago
The equation and graph of a polynomial are shown below. The graph reaches its minimum when the value of x is 4. What is the y-va
Murrr4er [49]
Try to follow the steps im giving you here and you will get to the answer:
<span>y = x^2-8x+12
put x=4
y= 4^2 - 8(4) +12
y= 16 - 32 +12
y = -4
</span>I hope this is what you need :)
4 0
3 years ago
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