All categories

3 years ago

Which is the correct label of the parallel lines?

Mathematics

1 answer:

liq [111]3 years ago

6 0

Answer:

a ∥ b

Step-by-step explanation:

The symbol "∥" means parallel lines.

Taking a look at the figure above, we have 2 parallel lines, labelled a and b.

A and B are two points on line "a", forming segment AB. However, segment AB is part of line "a".

Same applies to line "b", which has 2 points forming segment CD.

Therefore, the correct label if the parallel lines is a ∥ b

You might be interested in

Please answer as many as you can.

dimaraw [331]

Answer: okay so your problems are like 10000000k through out resons of dum. so x=-1. is a little wrong becayse the x = into a 1 so you make the 1 that factor. so thats why answer for 2.5

Step-by-step explanation:

6 0

3 years ago

If x-5(x-7)=-7 then x equals what?

NeX [460]

Expand

simplify x - 5x + 35 to -4x + 35

subtract 35 from both sides

simplify -7 - 35 to -42

divide both sides by -4

two negatives make a positive

simplify 42/4 to 21/2

Answer: x = 21/2.

7 0

3 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 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:

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

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

7 0

3 years ago

Is - 1 half n + 1 whole 1 half + 3 - n equivalent to 3

gavmur [86]

Yes. It is equivalent to 3. Combine like terms

7 0

3 years ago