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aleksklad [387]
2 years ago
12

I am not sure how to do this diamond problem

Mathematics
2 answers:
Nadya [2.5K]2 years ago
5 0

Answer:

-10 and -10

Step-by-step explanation:

-10x-10=100

-10+-10=20

4vir4ik [10]2 years ago
4 0
It looks like you are trying to factor a quadratic.  So you are looking for the numbers that when you multiply them, you get the top number (100), but when you add them you get the bottom number (-20).

Those two numbers are -10 and -10.

Hope that helps!
You might be interested in
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
2 years ago
Lisa started to drive from Boston to Washington, DC, which is 440 miles away, at 8:00 AM. For the first four hours of her trip,
sukhopar [10]

Answer:

60 mph

Step-by-step explanation:

Given;

Total distance covered d = 440 miles

Average speed in the first 4 hours v1 = 50 mph

Total time taken for the whole trip t = 8:00 to 4:00pm

t = 16:00-8:00 = 8 hours

Firstly we need to calculate the distance covered during the first 4 hours;

d1 = average speed × time = v1 × t1

t1 = 4

d1 = 50 × 4 = 200 miles

Then we need to calculate the distance covered in the second period of the journey;

d = d1 + d2

d2 = d - d1

Substituting the values;

d2 = 440 - 200

d2 = 240 miles

The time taken for the second period of travel t2;

t2 = t -t1 = 8-4

t2 = 4 hours

Average speed = distance travelled ÷ time taken

The average speed for the second part of the trip v2 is;

v2 = d2 ÷ t2

Substituting t2 and d2;

v2 = 240 miles ÷ 4 hours

v2 = 60 mph

The average speed during the second part of the trip is 60 mph

3 0
2 years ago
PLEASE HELP !!!
Nady [450]

Answer:

i'm pretty sure its B but it would be helpful if i could see a graph

Step-by-step explanation:

3 0
3 years ago
Your car averages 380 miles on a 14-gallon tank of gas. You run out of gas on a deserted highway, but have 1/2 gallon of lawn mo
spin [16.1K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~

So to solve this, we want to know how many miles can we do in every 1 gallon of gas.

To solve this, we do: 380 / 14 = 27.14 miles for every 1 gallon

Okay, so if we have 1/2 a gallon stashed away, how far can we get on every 1/2 gallon...

To solve this, we do: 27.14 / 2 = 13.57 miles for every 1/2 gallon


So...

The answer is: We will NOT be able to get to the Gas Station that is 15miles away, because we can only go about 13.5 miles with every 1/2 gallon.

6 0
3 years ago
How many natural numbers are less than n
ruslelena [56]

The number of natural numbers less than n is n-1.

Natural numbers are whole and positive numbers that are not 0.

If n is 2, there is one natural number less than n... and that is 1.

If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.

7 0
3 years ago
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