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Crank
2 years ago
9

Make x the subject of the formula x/a -b=c

Mathematics
2 answers:
horrorfan [7]2 years ago
7 0

Answer:

x ÷ a - b = c

x a-b both side

x = c(a-b)

or

x = ca - bc

shusha [124]2 years ago
3 0

Answer:

x = ca + ba

Step-by-step explanation:

x/a -b=c

x/a = c+b

x = ca + ba

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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle<br> Identities.
emmasim [6.3K]

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

6 0
3 years ago
Find the perimeter and area of a rectangle with a length of 2 meters and a width of 3 meters
klasskru [66]
Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:
                                
                                       P = 2 x (L + W)

                                       A = L x W

Substituting the given value for the dimensions, 
 
                                       P = 2 x (2m + 3m) = 10 m
                               
                                        A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2. 




4 0
3 years ago
Elvin had $1500 to spend at the school bazaar.he spent $12.75 how much money did he have left.
gogolik [260]

$2.25             ☺️☺️☺️☺️☹️☹️☹️☹️☹️☺️☺️

7 0
3 years ago
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