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3 years ago

X= ?? geometry ??? And how ????

Mathematics

1 answer:

steposvetlana [31]3 years ago

8 0

Using the equations for tangent and secant lines:

Let the unknown length of the line inside the circle = y

6^2 = 3 x (y+3)

Simplify:

36 = 3y+9

Subtract 9 from both sides:

27 =3y

Divide both sides by 3:

Y = 9

Now add to get x:

X = 9 + 3 = 12

X = 12

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Me.Durham is contemplating which chauffeured car service to the airport. The first costs $30 up front and $3 per kilometer. The

Semmy [17]

Answer: 45 dollars and it was a distance of 5 kilometers

Step-by-step explanation: What i did was start with 30, then keep adding 3 till i got the a multiple of 5.

30 + 3 = 33

33 + 3 = 36

36 + 3 = 39

39 + 3 = 42

42 + 3 = 45

So already i know that it is 5 kilometers, because i added 3 to 30 five times.

No i will do that with the second company

20 + 5 = 25

25 + 5 = 30

30 + 5 = 35

35 + 5 = 40

40 + 5 = 45

That is also 5 kilometers, because i added 5 to 20 five times. I also know they are the same price, because they both added to 45 dollars.

Thats how i solved it.

I really hope that helps!

8 0

3 years ago

The of -6 is 6, because it is 6 units from zero on

Ilya [14]

Answer: The absolute value of -6 is 6 because it is 6 units away from zero on the number line

In terms symbols, we use vertical bars like this

|-6| = 6

to represent absolute value. Absolute value is distance from zero on a number line. Negative distance is not possible.

8 0

1 year ago

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5? X = negative 8 x

Ede4ka [16]

Answer:

$(A)x= -8$

Step-by-step explanation:

One-fourth x + 2 = $\frac{1}{4}x+2$

$\frac{1}{4}x+2=-\frac{5}{8}x-5$

Next, we Expand the Left hand Side by multiplying each term in the bracket by 1/4

$\frac{1}{4}x+\frac{2}{4}=-\frac{5}{8}x-5$

Bringing terms with x to the left Hand Side i.e. collecting like terms

$\frac{1}{4}x+\frac{5}{8}x=-5-2\\\\(\frac{1}{4}+\frac{5}{8})x=-7\\\\\frac{7}{8}x=-7$

On Cross multiplying

7x = -7 X 8

$x=-\dfrac{7*8}{7}\\$

x=-8

5 0

3 years ago

Read 2 more answers

Use long division to convert 36\75 to a decimal

REY [17]

I’ll help....

0.48 is the answer

3 0

3 years ago

Read 2 more answers

A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the

EastWind [94]

Answer:

a) $\hat p=\frac{471}{1024}=0.460$

The standard error is given by:

$SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156$

And the margin of error is given by:

$ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305$

b) The 99% confidence interval would be given by (0.429;0.491)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Data given and notation

n=1024 represent the random sample taken

X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

$\hat p=\frac{471}{1024}=0.460$ estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Part a

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.