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3 years ago

What is the value of d?

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Ok so this picture may look super super complicated but it's actually not too terrible.

The best (and only) way to start this problem is to find angle "b". To find angle "b" you can use the 107° angle next to it. When two angles are made by crossing lines the angles next to each other will always add up to 180°. so in that case:

107+b=180

b=73

Now that we know what b is we can just use our incredibly extensive knowledge of those three sided shapes I like to call triangles. If you look at the picture you can see that angles d, b(73°) and 45° make a triangles and all of them together will add up to 180° because there are 180° in a triangle. So...

d+73+45=180

d+118=180

d=62

(Disclaimer: there is another way to solve this problem but I like that way the best)

Here's the other way (i'm not going to explain this super in depth tho).

Angle a must be 45 because of the alternate angle theorem. d+a must be 107 because of the alternate angle theorem.

d+45=107

d=62

Zanzabum3 years ago

7 0

Answer: 62

Step-by-step explanation:

We know that a straight line= 180,

So look at the 107,

Do 180-107 for the value of b

Which = 73,

So b=73

No add 45 to 73 which gives 118,

Now we know that all 3 angles in a triangle is 180,

So finally we do 180-118= 62

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6. Suppose that a fair coin is tossed 2 times, and the result of each toss (H or T) is recorded.

nekit [7.7K]

Answer:

a) $S= {HH, HT, TH, TT}$

b) $P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

Step-by-step explanation:

Let's define first some notation

H= represent a head for the coin tossed

T= represent tails for the coin tossed

We are going to toss a coin 2 times so then the size of the sample size is $2^2 = 4$

a. What is the sample space for this chance experiment?

The sampling space on this case is given by:

$S= {HH, HT, TH, TT}$

b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.

The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:

$P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25$

$P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5$

$P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25$

And we have the following table:

X | 0 | 1 | 2

P(X) | 0.25 | 0.5 | 0.25

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3 years ago

How to solve proportions

Delicious77 [7]

Step-by-step explanation:

stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation

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3 years ago

If f(x)=3x+2 what is the equation for f^-1(x)

Elden [556K]

Answer:

f^-1(x) = (x -2)/3

Step-by-step explanation:

To find the inverse function, swap x and y, then solve for y.

y = 3x +2 . . . . given function

x = 3y +2 . . . . inverse relation

x -2 = 3y . . . . subtract 2

(x -2)/3 = y . . . divide by 3

f^-1(x) = (x -2)/3 . . . . in functional form

4 0

3 years ago

The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this contex

tekilochka [14]

The manager at a golf course found that the population mean length of the holes at the golf courses is 415.9 yd. In this context, is the number 415.9 a parameter or a statistic?

Answer: The number 415.9 is a parameter because it represents the population characteristic.

Explanation:

Parameter: Parameters are numbers that summarize the entire population. For example the population mean summarizes the entire population, similarly population standard deviation describes the characteristic of entire population.

Statistic: Statistic are numbers that describes the sample. For example, the sample mean summarizes the sample which is drawn from the population, similarly the sample standard deviation describes the characteristic of sample.

Therefore, the population mean length of the holes at the golf courses (415.9 yd) is parameter.

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3 years ago

Find the solution set of the inequality

Brilliant_brown [7]

Answer:

$\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.$

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

-4x + 35 >2

$\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}$

<h3>★ Hence the solution set is x € ( 33/4 , ∞ ).</h3>

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3 years ago