A little bit of geometry how many triangles do you see

Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.

vfiekz [6]

12(x-3) + 18 = 4(2x-3)

12x-36+18 = 8x-12

12x -18 = 8x-12

12x-8x = -12 + 18

4x = 6

x = 6/4 or 3/2

one solution A

4 0

3 years ago

Read 2 more answers

What is X equal to? PS it’s not 180

AVprozaik [17]

Answer:

x = 47

Step-by-step explanation:

86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka

86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)

2x = 94 (divide both sides by 2 to get x by itself)

x = 47

7 0

2 years ago

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

7 0

3 years ago

What binomial do you have to add to the polynomial:

marshall27 [118]

Answer:

a) $-2x^2+5xy$