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madreJ [45]
3 years ago
5

Find the value of xFind the value of xFind the value of x

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

x = 11

Step-by-step explanation:

\frac{x + 2}{6}   -  \bigg( \frac{11 -x }{3}  -  \frac{1}{4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2(x + 2)}{2 \times 6}   -  \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{4 4 - 4x- 3}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{41 - 4x}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}}  =  \frac{3x - 4}{ \cancel{12}}  \\  \\ 6x - 37 = 3x - 4 \\  \\ 6x - 3x = 37 - 4 \\  \\ 3x = 33 \\  \\ x =  \frac{33}{3}  \\  \\ \huge \red{ \boxed{ x = 11}}

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(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Serggg [28]

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

6 0
3 years ago
5. Monday night it was -2.3°C. If the
ozzi

Answer:

-4.6

Step-by-step explanation:

-2.3-2.3=-4.6

8 0
2 years ago
A baseball player has a batting average of 0.26. What is the probability that he has exactly 6 hits in his next 7 at bats
LenKa [72]

Answer:

0.0016

Step-by-step explanation:

Batting average, p = 0.26

n = 7

x = 6

With p = 0.26 as success rate

1-p is equal to failure rate which is = 0.74

We have to solve this by using the binomial distribution formula.

P(X= x)

= nCx * p^x * (1-p)^(n-x)

P(X = 6)

=7C6 × 0.26^6 ×(1-0.26)^(7-6)

= 7 × 0.0003089 × 0..74¹

= 0.0016

So probability that he has exactly 6 hits in his next 7 bats is equal to 0.0016.

8 0
3 years ago
Express the form n:1 give n as a decimal 14:8
Alexus [3.1K]
I’m pretty sure it’s 1. 8:1
6 0
3 years ago
A random sample of of 100 voters in a town is selected, and 24 are found to support an annexation suit. Find the 96% confidence
lbvjy [14]

Answer: 0.24 +/- 0.088 = (0.152, 0.328)

Step-by-step explanation:

The point estimate p is given by;

p= 24/ 100 = 0.24

Z value for 96% confidence interval is 2.05

The solution for the given confidence interval is derived using the equation

p +/- z√(pq/n)

Where p = 0.24 q= 1-p = 0.76, n=100 z= 2.05

= 0.24 +/- 2.05√(0.24×0.76/100)

= 0.24 +/- 2.05(0.0427)

=0.24 +/- 0.088

= ( 0.152, 0.328)

6 0
3 years ago
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