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3 years ago

6

Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $10

0, win $120 on heads and $70 on tails. darius chooses (2). what sort of attitude does this choice reveal?

1 answer:

Helga [31]3 years ago

8 0

I guess it shows he is ok with taking risks.

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The measure of one angle is 7 times the measure of its COMPLIMENT. Find the measure of each angle.

solong [7]

Step-by-step explanation:

given,

the complete angle is complementry angle which is 90°

let the first angle be x and second angle be 7x ( as second angle is 7 times more than first angle )

now,

→ x + 7x = 90

→ 8x = 90

→ x = 90/8 = 11.25

therefore

1st angle = x = 11.25°

2nd angle = 7x = 7 × 11.25 = 78.75°

hope this answer helps you dear take care and may u have a great day ahead!

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3 years ago

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cestrela7 [59]

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3 years ago

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What is 2.5 x 7/10 =? and how did you get the answers?

Ivan

Answer:

1.75 or $\frac{35}{2}$

Step-by-step explanation:

2.5 * 7/10 is just like 2.5 * 0.7

so 2.5 * 0.7 = 1.75

You could also convert 2.5 to fraction which is 25/10

so you would have $\frac{25}{10} * \frac{7}{10}$ = $\frac{175}{100}$ reduced would equal $\frac{35}{2}$

How this helps you! :)

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3 years ago

If the term of arthematic progression decrease in magnitude then common difference must be

Tpy6a [65]

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

Learn more about arithmetic progressions at

brainly.com/question/6561461

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2 years ago

Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinat

Nutka1998 [239]

Step-by-step explanation:

try the option shown in the attachment.

Finally,

$A(-2-\sqrt{3};0);$

$B(-1-\sqrt{7};3-2\sqrt{7});$

$C(-2+\sqrt{3};0);$

$D(-1+\sqrt{7};3+2\sqrt{7});$

$E(0;5);$

$F(-\frac{5}{2};0);$

$G(-2;-5).$

in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;

in order to calculate the vertex G it is needed to find x-coordinate:

x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).

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2 years ago