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balandron [24]
3 years ago
6

Find the value of x that makes each equation true.

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0
1.\\\\ 3x-10=2\\3x=2+10\\3x=12\ \ /:3\\ x=\frac{12}{3}\\x=4\\\\2.\\\\ 8x-10=x+11\\8x-x=11+10\\7x=21\ \ /:7\\x=\frac{21}{7}\\x=7

3.\\\\ 5x-7=7x-17\\5x-7x=-17+7\\-2x=-10\ \ /:(-2)\\x= \frac{-10}{-2}\\x=5

4.\\\\ 3x+9=44-2x\\3x+2x=44-9\\5x=35\ \ /:5\\x=\frac{35}{7}\\x=5\\\\5. \\\\3x+6=x+2\\3x-x=2-6\\2x=-4\ \ /:2\\x=-\frac{4}{2}\\x=-2


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A local company wants to evaluate their quality of service by surveying their customers.
stich3 [128]

Answer: b. 0.98

Step-by-step explanation:

The formula to find the maximum error of the estimated mean :

E=z^*\dfrac{\sigma}{\sqrt{n}}            (1)

, where \sigma = standard deviation

n= Sample size

z* = Critical z-value.

As per given , we have

\sigma=5

n=100

Critical value for 95% confidence interval = z*=1.96

Put these values in the formula (1), we get

E=(1.96)\dfrac{5}{\sqrt{100}}

E=(1.96)\dfrac{5}{10}=0.98

Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.

Therefore , the correct answer is b. 0.98 .

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2 years ago
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Marizza181 [45]
The answer is c or A
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3 years ago
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The sum of two numbers is 51. The larger number is 17 more than the smaller number. What are the numbers ?
Serggg [28]

Answer:

The numbers are 17 and 34.

Step-by-step explanation:

I just subtracted 17 from 51, it equals 34, and 34 is 17 more than 17. Add 34 and 17 and you get 51.

4 0
2 years ago
Rearrange to make x the subject of 4(x-3)/a=y
IrinaVladis [17]

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

I hope this helps.

4 0
2 years ago
Ummm sooo I’m really confused and it’s due tomorrow please help me
MaRussiya [10]

Answer:

75

Step-by-step explanation:

If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.

Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).

Hope this helped!

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3 years ago
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